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Chapter 4 · MCQ Read Mode

Structural Mechanics

ACIE04·393 Total MCQs
Question 1 of 393Shear Forces and Bending Moments

The internal force that tends to bend or curve a beam at a section is called the:

AAxial force
BShear force
CBending moment
DTorque
Answer is hidden
Question 2 of 393Shear Forces and Bending Moments

The rate of change of shear force with respect to distance along a beam equals:

AThe bending moment
BThe negative of the distributed load intensity, -w(x)
CThe axial force
DZero, always
Answer is hidden
Question 3 of 393Shear Forces and Bending Moments

The bending moment in a beam is maximum (or minimum) at a section where:

AThe shear force is maximum
BThe shear force is zero or changes sign
CThe axial force is zero
DThe deflection is zero
Answer is hidden
Question 4 of 393Shear Forces and Bending Moments

An applied concentrated moment (couple) at a point along a beam produces:

AA sudden jump in the shear force diagram
BA sudden jump (discontinuity) in the bending moment diagram, with no effect on the shear force diagram
CNo effect on either diagram
DA parabolic shear force diagram
Answer is hidden
Question 5 of 393Shear Forces and Bending Moments

For a cantilever beam carrying a point load at its free end, the bending moment diagram is:

AConstant along the span
BParabolic, maximum at the free end
CLinear, zero at the free end and maximum (hogging) at the fixed support
DZero everywhere
Answer is hidden
Question 6 of 393Shear Forces and Bending Moments

For a simply supported beam under a uniformly distributed load, the bending moment diagram is:

ALinear
BParabolic, with maximum sagging moment at mid-span where SF = 0
CConstant
DTriangular with a discontinuity at mid-span
Answer is hidden
Question 7 of 393Shear Forces and Bending Moments

A point of contraflexure in a beam's bending moment diagram is a location where:

AThe shear force is maximum
BThe bending moment changes sign (BM = 0), indicating a reversal of curvature
CThe axial force is maximum
DThe applied load is a couple
Answer is hidden
Question 8 of 393Shear Forces and Bending Moments

The principle of superposition for internal forces in a linear elastic beam states that:

AOnly the largest single load needs to be considered
BThe combined effect of several loads equals the algebraic sum of the effects of each load acting separately
CLoads cannot be combined mathematically
DSuperposition applies only to axial forces
Answer is hidden
Question 9 of 393Shear Forces and Bending Moments

The change in bending moment between two sections of a beam equals:

AThe change in axial force between those sections
BThe area under the shear force diagram between those sections
CThe area under the load diagram between those sections
DZero, always
Answer is hidden
Question 10 of 393Shear Forces and Bending Moments

A uniformly varying load (UVL), such as a triangular load distribution, is characterized by:

AConstant intensity along its length
BIntensity varying linearly from zero (or some value) to a maximum over its length
CActing only at a single point
DProducing no shear force
Answer is hidden
Question 11 of 393Stress and Strain Analysis

Principal planes at a point in a stressed body are defined as the planes on which:

AShear stress is maximum and normal stress is zero
BShear stress is zero and normal stress is maximum or minimum
CBoth normal and shear stress are maximum
DBoth normal and shear stress are zero
Answer is hidden
Question 12 of 393Stress and Strain Analysis

The maximum shear stress at a point, in terms of the principal stresses σ1 and σ2, is given by:

Aτmax = σ1 + σ2
Bτmax = (σ1 - σ2)/2
Cτmax = σ1 × σ2
Dτmax = σ1/σ2
Answer is hidden
Question 13 of 393Stress and Strain Analysis

Mohr's circle is a graphical technique used to determine:

AOnly the modulus of elasticity
BPrincipal stresses, maximum shear stress, and stresses on any inclined plane at a point
COnly the yield strength of a material
DOnly the torsional rigidity of a shaft
Answer is hidden
Question 14 of 393Stress and Strain Analysis

On the stress-strain curve of a ductile material such as mild steel, the yield point represents:

AThe point of fracture
BThe stress at which the material begins to deform plastically with little or no increase in stress
CThe maximum stress the material can sustain (ultimate strength)
DThe point where Hooke's law is most accurate
Answer is hidden
Question 15 of 393Stress and Strain Analysis

A key distinguishing feature of brittle material behaviour (e.g. cast iron, concrete) compared to ductile behaviour is:

AA pronounced yield plateau before fracture
BLarge plastic deformation before fracture
CFracture occurring with little or no plastic deformation and no distinct yield point
DIdentical stress-strain response to ductile materials
Answer is hidden
Question 16 of 393Stress and Strain Analysis

The torsion formula for a circular shaft, relating torque T, polar moment of inertia J, shear stress τ, and radius r, is:

AT/J = τ/r = Gθ/L
BT = τ + r
CT/J = r/τ
DT = GθL only
Answer is hidden
Question 17 of 393Stress and Strain Analysis

In a circular shaft subjected to torsion, the shear stress distribution across the cross-section is:

AUniform (constant) across the entire section
BZero at the outer surface and maximum at the centre
CZero at the centre and increasing linearly to a maximum at the outer surface
DIndependent of the applied torque
Answer is hidden
Question 18 of 393Stress and Strain Analysis

A hollow circular shaft is generally more efficient in resisting torsion than a solid shaft of the same cross-sectional area because: area constant by increasing outer radius) increases efficiency

AHollow shafts have lower polar moment of inertia
BMaterial near the centre of a solid shaft contributes little to torsional resistance, so removing it (while keeping
CHollow shafts cannot twist at all
DTorsion formula does not apply to hollow shafts
Answer is hidden
Question 19 of 393Stress and Strain Analysis

The proportional limit on a stress-strain curve corresponds to:

AThe stress beyond which the material fractures immediately
BThe stress up to which stress is directly proportional to strain, i.e. Hooke's law applies
CThe maximum stress a material can withstand
DThe stress at which necking begins
Answer is hidden
Question 20 of 393Stress and Strain Analysis

The ultimate tensile strength of a ductile material, on its stress-strain curve, corresponds to:

AThe proportional limit
BThe yield point
CThe maximum stress reached, corresponding to the onset of necking
DThe fracture point, which occurs at the same stress
Answer is hidden
Question 21 of 393Theory of Flexure and Columns

Pure (co-planar) bending of a beam segment is characterized by:

AConstant shear force and varying bending moment
BConstant bending moment and zero shear force over the segment
CZero bending moment throughout
DOnly axial force acting on the segment
Answer is hidden
Question 22 of 393Theory of Flexure and Columns

The flexure formula relating bending moment M, second moment of area I, bending stress σ, and distance y from the neutral axis is:

AM/I = σ/y = E/R
BM = σ + y
CM/I = y/σ
DM = EI only, independent of σ and y
Answer is hidden
Question 23 of 393Theory of Flexure and Columns

In elastic bending of a beam, the bending stress distribution across the depth of the section is:

AUniform (constant) across the entire depth
BZero at the extreme fibres and maximum at the neutral axis
CZero at the neutral axis and varying linearly to a maximum at the extreme fibres
DIndependent of the applied bending moment
Answer is hidden
Question 24 of 393Theory of Flexure and Columns

The curvature (1/R) of a beam's elastic curve at a section is related to the bending moment M by:

A1/R = M/(EI)
B1/R = EI/M
C1/R = M × EI
D1/R is independent of M
Answer is hidden
Question 25 of 393Theory of Flexure and Columns

Macaulay's method is primarily used to: discontinuous loading

ACalculate axial stresses only
BDetermine beam slope and deflection conveniently using a single expression, even for beams with
CDetermine torsional shear stress in shafts
DCalculate principal stresses at a point
Answer is hidden
Question 26 of 393Theory of Flexure and Columns

A long (slender) column under axial compressive load typically fails by:

ADirect material crushing at yield stress
BBuckling (sudden lateral instability) at a stress below the material's crushing strength
CTorsional failure only
DPure shear failure
Answer is hidden
Question 27 of 393Theory of Flexure and Columns

Euler's critical buckling load for a long column is given by:

APcr = π²EI/Le²
BPcr = EI/Le
CPcr = σA only
DPcr = πEA/Le
Answer is hidden
Question 28 of 393Theory of Flexure and Columns

For a column with both ends fixed, the effective length Le in terms of the actual length L is:

ALe = L
BLe = 2L
CLe = L/2
DLe = 0.7L
Answer is hidden
Question 29 of 393Theory of Flexure and Columns

For a column with one end fixed and the other end free, the effective length Le is:

ALe = L
BLe = 2L
CLe = L/2
DLe = 0.7L
Answer is hidden
Question 30 of 393Theory of Flexure and Columns

The slenderness ratio of a column is defined as:

Aλ = Le × r
Bλ = Le/r, where r is the radius of gyration
Cλ = A/I
Dλ = E/σ
Answer is hidden
Question 31 of 393Determinate Structures-1

The degree of static determinacy of a plane truss is given by the formula:

ADs = m + r - 2j
BDs = 3m + r - 3j
CDs = m - r + j
DDs = 2m + r - j
Answer is hidden
Question 32 of 393Determinate Structures-1

If the degree of static determinacy Ds of a structure is negative, the structure is:

AStatically determinate
BStatically indeterminate
CAn unstable mechanism (insufficient members/supports)
DAlways a stable truss
Answer is hidden
Question 33 of 393Determinate Structures-1

Castigliano's theorem states that the displacement at a load's point of application, in its direction, equals:

AThe total strain energy U directly
BThe partial derivative of the total strain energy with respect to that load, ∂U/∂P
CThe bending moment at that point
DThe product of load and length
Answer is hidden
Question 34 of 393Determinate Structures-1

In the virtual (unit load) method for computing beam deflection, the deflection at a point is given by: at that point

Aδ = ∫(mM/EI)dx, where M is the real bending moment and m is the bending moment due to a virtual unit load
Bδ = M/EI directly, with no integration
Cδ = ∫M dx only
Dδ = m/M
Answer is hidden
Question 35 of 393Determinate Structures-1

For a bending member, the strain energy U stored due to bending is expressed as:

AU = ∫M²dx/(2EI)
BU = M × L
CU = ∫M dx
DU = EI/M
Answer is hidden
Question 36 of 393Determinate Structures-1

The virtual unit load in the unit load method is applied:

AAt a random location unrelated to the desired displacement
BAt the point and in the direction of the desired displacement or rotation
COnly at the structure's supports
DOnly as a distributed load
Answer is hidden
Question 37 of 393Determinate Structures-1

For a plane frame, the degree of static determinacy formula 3m + r - 3j - c includes the term c, which accounts for:

AThe number of members only
BAdditional condition equations introduced by internal hinges or rollers
CThe total applied load
DThe material's modulus of elasticity
Answer is hidden
Question 38 of 393Determinate Structures-1

The unit load method is applied to portal frame deflection analysis by: results

AIgnoring all members except the columns
BIntegrating the product of real and virtual moment diagrams (mM/EI) over each member and summing the
CUsing only Euler's buckling formula
DApplying Pascal's law to each joint
Answer is hidden
Question 39 of 393Determinate Structures-1

Energy methods (such as Castigliano's theorem) are particularly useful for analysing structures because they: using scalar energy quantities

ARequire no knowledge of material properties
BProvide a systematic way to compute deflections and forces in both determinate and indeterminate structures
CApply only to statically determinate trusses
DEliminate the need for equilibrium equations entirely
Answer is hidden
Question 40 of 393Determinate Structures-1

A statically determinate structure, by definition, can have its support reactions and internal forces determined using:

AOnly material stress-strain relationships
BThe equations of static equilibrium alone, without needing compatibility/deformation conditions
COnly energy methods
DOnly the moment distribution method
Answer is hidden
Question 41 of 393Determinate Structures-2

An influence line diagram (ILD) for the bending moment at a section shows:

AThe bending moment along the entire structure for one fixed load position
BThe value of the bending moment at that fixed section as a unit load moves across the structure
COnly the maximum shear force in the structure
DThe deflection of the structure under a fixed load
Answer is hidden
Question 42 of 393Determinate Structures-2

For a simply supported beam, the influence line for a support reaction is:

AParabolic
BA straight line, equal to 1 at that support and 0 at the other support
CTriangular with peak at mid-span
DConstant along the entire span
Answer is hidden
Question 43 of 393Determinate Structures-2

For a simply supported beam, the influence line for bending moment at a section is:

AA straight horizontal line
BTriangular, with maximum ordinate ab/L at the section (a, b = distances to the two supports)
CBilinear with a jump of 1 at the section
DParabolic with zero ordinate at the section
Answer is hidden
Question 44 of 393Determinate Structures-2

To find the maximum response due to a moving uniformly distributed load using an influence line, the load should be positioned: length

AOnly at the peak ordinate as a point load
BOver the portion(s) of the ILD having the same sign, to maximize the net area under the ILD over the loaded
COver the entire structure regardless of ILD sign
DAt the support only
Answer is hidden
Question 45 of 393Determinate Structures-2

A two-hinged arch, with hinges only at its two supports and a continuous rib, is statically:

ADeterminate
BIndeterminate to the first degree
CIndeterminate to the second degree
DAn unstable mechanism
Answer is hidden
Question 46 of 393Determinate Structures-2

The redundant force in the analysis of a two-hinged arch is typically taken as:

AThe vertical reaction at one support
BThe horizontal thrust H at the supports
CThe bending moment at the crown
DThe applied load itself
Answer is hidden
Question 47 of 393Determinate Structures-2

For a two-hinged parabolic arch of span L and rise h under a uniformly distributed load w over the full span, the horizontal thrust H equals:

AH = wL/8h
BH = wL²/(8h)
CH = wLh/8
DH = w/(8Lh)
Answer is hidden
Question 48 of 393Determinate Structures-2

The bending moment at any section of a two-hinged arch, once the horizontal thrust H is known, is computed as: section

AThe simple-beam bending moment at that section only, ignoring H
BThe simple-beam bending moment at that section minus H times the arch rise above the springing line at that
CH multiplied by the span length only
DZero at every section
Answer is hidden
Question 49 of 393Determinate Structures-2

The shear force influence line at a section of a simply supported beam is characterized by:

AA smooth continuous curve with no discontinuity
BA bilinear shape with a jump (discontinuity) of magnitude 1 as the unit load crosses the section
CA single constant value across the whole span
DBeing identical to the bending moment ILD
Answer is hidden
Question 50 of 393Determinate Structures-2

Compared to a three-hinged arch, a two-hinged arch's analysis requires additionally applying:

AOnly the three equations of static equilibrium
BA compatibility (energy) condition, since equilibrium alone is insufficient due to static indeterminacy
CNo analysis at all, since it behaves identically to a beam
DOnly the flexure formula
Answer is hidden
Question 51 of 393Indeterminate Structures

The flexibility (force) method for analysing indeterminate structures proceeds by: solve for the redundants

AIgnoring compatibility conditions entirely
BRemoving redundant forces to form a determinate primary structure, then applying compatibility equations to
CDirectly assembling a global stiffness matrix
DApplying only equilibrium equations, with no additional conditions
Answer is hidden
Question 52 of 393Indeterminate Structures

In the slope-deflection method, member end moments are expressed in terms of:

AOnly the applied loads, with no reference to joint rotations
BJoint rotations, chord rotation (due to sidesway), and fixed-end moments
COnly the cross-sectional area of the member
DOnly the support reactions
Answer is hidden
Question 53 of 393Indeterminate Structures

In the moment distribution (Hardy Cross) method, the distribution factor at a joint for a given member is defined as:

AThe member's length divided by total length
BThe member's relative stiffness divided by the sum of stiffnesses of all members meeting at that joint
CA fixed value of 1/2 for every member
DThe applied load on that member
Answer is hidden
Question 54 of 393Indeterminate Structures

In the moment distribution method, the carry-over factor from the near end to a far end that is fixed is:

A0
B1/2
C1
D2
Answer is hidden
Question 55 of 393Indeterminate Structures

The stiffness (matrix displacement) method solves an indeterminate structure by: displacements, then recovering member forces

AAssembling a global stiffness matrix relating joint displacements to applied loads, solving for the
BUsing only graphical Mohr's circle constructions
CIgnoring joint displacements entirely
DApplying the flexure formula directly to every joint
Answer is hidden
Question 56 of 393Indeterminate Structures

The Müller-Breslau principle is used to construct influence lines for indeterminate (continuous) beams by: restraint and applying a unit displacement/rotation there

ADirectly measuring strains in a physical model only
BRecognizing that the ILD shape matches the deflected shape obtained by releasing the corresponding
CIgnoring the structure's indeterminacy entirely
DUsing only the flexibility method with no releases
Answer is hidden
Question 57 of 393Indeterminate Structures

A plastic hinge forms at a section of a beam once:

AThe bending moment reaches the section's elastic yield moment only
BThe bending moment reaches the section's full plastic moment capacity, Mp = σyZ
CThe shear force reaches its maximum value
DThe axial force becomes zero
Answer is hidden
Question 58 of 393Indeterminate Structures

The shape factor of a cross-section, S = Zp/Ze, represents:

AThe ratio of member length to depth
BThe reserve strength beyond first yield due to plastic stress redistribution across the section
CThe modulus of elasticity of the material
DThe degree of static indeterminacy
Answer is hidden
Question 59 of 393Indeterminate Structures

Elementary plastic collapse (mechanism) analysis determines the ultimate load of a structure by: hinges forming a mechanism

AUsing only elastic stress-strain relationships
BApplying virtual work, equating external work done by the collapse load to internal work absorbed by plastic
CIgnoring the formation of plastic hinges
DUsing only the moment distribution method
Answer is hidden
Question 60 of 393Indeterminate Structures

Compared to the flexibility method, the slope-deflection and moment distribution methods are classified as:

AForce (flexibility-based) methods
BDisplacement (stiffness-based) methods, since the primary unknowns are joint displacements/rotations
CGraphical methods only
DMethods applicable only to determinate structures
Answer is hidden
Question 61 of 393Structural Mechanics

How do points and UDL be represented in SFD?

Asimple lines and curved lines
Bcurved lines and inclined lines
Csimple lines and inclined lines
Dboth curved lines
Answer is hidden
Question 62 of 393Structural Mechanics

When shear force diagram is parabolic curve between two points, it indicates that there is ________.

Apoint loads at two points
Bno loading at two points
CUDL between points
DUVL between points
Answer is hidden
Question 63 of 393Structural Mechanics

What is the maximum shear force, when a cantilever beam is loaded with UDL throughout?

Aw × l
Bw
Cw/l
Dw+l
Answer is hidden
Question 64 of 393Structural Mechanics

In purely bending, stress distribution in the beam is ________.

Alinear
Bparabolic
Celliptical
Dconstant
Answer is hidden
Question 65 of 393Structural Mechanics

Where is the absolute maximum shear force in simply supported beam with UDL?

ANear support
BCenter of beam
CAt 1/4 span from support
DAt 1/3 span from support
Answer is hidden
Question 66 of 393Structural Mechanics

If point load w(x) = sin(x/L) is acted on a beam, then shear force diagram is?

Alinear
Bparabolic curve
Csine curve
Dcosine curve
Answer is hidden
Question 67 of 393Structural Mechanics

The rate of change of shear force is called ________.

Abending moment
Bpoint load
Cintensity of load
Dslope
Answer is hidden
Question 68 of 393Structural Mechanics

If the shear force along a section of a beam is zero, the bending moment at the section is ________.

Azero
Bmaximum
Cminimum
Daverage of maximum-minimum
Answer is hidden
Question 69 of 393Structural Mechanics

If shear force is constant throughout the section, then BM is ________.

Aconstant
Blinear
Cparabolic
Dcubic
Answer is hidden
Question 70 of 393Structural Mechanics

When the bending moment is constant over the beam the Shear Force will be?

AMaximum at support
BZero over the entire span
CMinimum at the mid-point
DMaximum over the entire span
Answer is hidden
Question 71 of 393Structural Mechanics

The relation between Shear force and Bending moment is ________.

AS = dM/dx
BM = dS/dx
CdM/dS = x
DdS/dM = x
Answer is hidden
Question 72 of 393Structural Mechanics

If the shear force diagram of a simply supported beam is parabolic, then the load on the beam is ________.

Auniformly distributed load
Bconcentrated load at mid span
Cexternal moment acting at mid span
Dlinearly varying distributed load
Answer is hidden
Question 73 of 393Structural Mechanics

In simple bending, ________ is constant.

Ashear force
Bloading
Cdeformation
Dbending moment
Answer is hidden
Question 74 of 393Structural Mechanics

A beam of uniform strength has constant ________.

Ashear force
Bbending moment
Ccross-sectional area
Ddeflection
Answer is hidden
Question 75 of 393Structural Mechanics

Bending moment is ________ at a hinged support.

Aalways maximum
Balways zero
Calways minimum
Deither minimum or max
Answer is hidden
Question 76 of 393Structural Mechanics

The maximum B.M. of a cantilever beam lies at ________.

Athe free end
Bthe fixed end
Cmiddle of its length
D1/4 from fixed end
Answer is hidden
Question 77 of 393Structural Mechanics

Two people weighing W each are sitting on plank of length L floating on water at L/4 from either end. Neglecting the weight of the plank, the bending moment at the centre of the plank is ________.

AWL/8
BWL/16
CWL/32
Dzero
Answer is hidden
Question 78 of 393Structural Mechanics

The concavity produced on the beam section about the centre line when downward force acts on it is called as ________.

Ahogging or positive bending moment
Bhogging or negative bending moment
Csagging or positive bending moment
Dsagging or negative bending moment
Answer is hidden
Question 79 of 393Structural Mechanics

At the point of contra flexure, the bending moment is ________.

Aequal to zero
Bchanges sign
Cmaximum
Dminimum
Answer is hidden
Question 80 of 393Structural Mechanics

The point of contraflexure is the point where ________.

Abending moment is maximum
Bbending moment is minimum
Cshear force is zero
Dbending moment changes sign
Answer is hidden
Question 81 of 393Structural Mechanics

Bending moment in a beam is not a function of ________.

Aposition of the load
Btype of beam
Ccross section of the beam
Dspan of the beam
Answer is hidden
Question 82 of 393Structural Mechanics

The bending moment in a beam does not depend upon its ________.

Aload intensity
Bspan
Ctype of support
Dmoment of inertia
Answer is hidden
Question 83 of 393Structural Mechanics

Abrupt change in BMD if ________ is applied.

Acouple
Bimpact load
Cshear force
Daxial force
Answer is hidden
Question 84 of 393Structural Mechanics

In a B.M. diagram vertical line at a section indicates, ________.

Aconcentrated load
Bmoment
Cuniformly distributed load
Duniformly varying load
Answer is hidden
Question 85 of 393Structural Mechanics

The slope of the curve of B.M. diagram gives ________.

AS.F. at the section
BB.M. at the section
CUDL at the section
Dnone of the above
Answer is hidden
Question 86 of 393Structural Mechanics

The B.M. diagram for a cantilever beam carrying uniformly distributed load is ________.

Aa triangle
Ba parabola
Ca cubic parabola
Da rectangle
Answer is hidden
Question 87 of 393Structural Mechanics

The B.M. at the fixed end of a cantilever beam subjected to UDL throughout span is ________.

Awl
Bwl²/2
Cwl²/4
Dwl²/8
Answer is hidden
Question 88 of 393Structural Mechanics

A fixed beam is subjected to a uniformly distributed load over its entire span. The points of contra-flexure will occur on either side of the centre at a distance of ________ from the centre.

AL/√3
BL/3
CL/(2√3)
D4L/√3
Answer is hidden
Question 89 of 393Structural Mechanics

The shape of bending moment for a simple supported beam with point load at the mid-span is ________.

Arectangle
Btriangle
Cparabolic
Dhyperbolic
Answer is hidden
Question 90 of 393Structural Mechanics

When a beam is subjected to simple bending, ________ is the same in both tension and compression for the material.

Amodulus of rigidity
Bmodulus of elasticity
CPoisson's ratio
Dmodulus of section
Answer is hidden
Question 91 of 393Structural Mechanics

If a beam is subjected to pure bending, then the deformation of the beam is ________.

Aarc of circle
Btriangular
Ctrapezoidal
Drectangular
Answer is hidden
Question 92 of 393Structural Mechanics

The shear stress distribution over a rectangular cross-section of a beam follows ________.

Aa straight line path
Ba circular path
Ca parabolic path
Dan elliptical path
Answer is hidden
Question 93 of 393Structural Mechanics

The shear stress intensity is minimum at ________.

Aaxis of shaft
Bsurface of the shaft
Cany inside layer of the shaft
Dall the above are correct
Answer is hidden
Question 94 of 393Structural Mechanics

The stress which acts in a direction perpendicular to the area is called ________.

Ashear stress
Bnormal stress
Cthermal stress
Dnone of the above
Answer is hidden
Question 95 of 393Structural Mechanics

When a body is subjected to a direct tensile stress (σ) in one plane, then the normal stress on an oblique section of a body inclined at angle (θ) to the normal of the section is equal to ________.

Aσ sin θ
Bσ cos θ
Cσ sin² θ
Dσ cos² θ
Answer is hidden
Question 96 of 393Structural Mechanics

When a body is subjected to a direct tensile stress (σ) in one plane, then maximum normal stress occurs at a section inclined at ________ to the normal section.

A0°
B30°
C45°
D90°
Answer is hidden
Question 97 of 393Structural Mechanics

The maximum shear stress in a thin cylindrical shell subjected to internal pressure p is ________.

Apd/2t
Bpd/4t
Cpd/6t
Dpd/8t
Answer is hidden
Question 98 of 393Structural Mechanics

The transverse shear stress acting in a beam of rectangular cross-section, subjected to a transverse shear load, is ________.

Avariable with maximum at the bottom of the beam
Bvariable with maximum at the top of the beam
Cuniform
Dvariable with maximum on the neutral axis
Answer is hidden
Question 99 of 393Structural Mechanics

For a rectangular section the ratio of maximum shear stress to the average shear stress is ________.

A2
B1.5
C1.25
D1.75
Answer is hidden
Question 100 of 393Structural Mechanics

For a circular section the ratio of maximum shear stress to average shear stress is ________.

A1.13
B1.23
C1.33
D1.43
Answer is hidden
Question 101 of 393Structural Mechanics

The shear centre of a section is defined as that point ________.

Athrough which the load must be applied to produce zero twisting moment on the section
Bat which shear force is zero
Cat which shear force is maximum
Dat which the shear force is minimum
Answer is hidden
Question 102 of 393Structural Mechanics

For RCC structure, the shape of shear stress diagram is ________.

Arectangular
Bparabolic
Cparabolic above neutral axis and rectangular below neutral axis
Drectangular above neutral axis and parabolic below neutral axis
Answer is hidden
Question 103 of 393Structural Mechanics

The maximum shear stress induced in a member which is subjected to an axial load is equal to ________.

Amaximum normal stress
Bhalf of maximum normal stress
Ctwice the maximum normal stress
Dthrice the maximum normal stress
Answer is hidden
Question 104 of 393Structural Mechanics

On principal plane, the value of shear stress is ________.

A(σx + σy)/2
Bzero
Cmaximum
D(σx − σy)/2
Answer is hidden
Question 105 of 393Structural Mechanics

The angle between major principal plane and minor principal plane will be always ________.

Agreater than 90°
Bless than 90°
Cequal to 90°
Dequal to 180°
Answer is hidden
Question 106 of 393Structural Mechanics

The plane of maximum shear stress has normal stress that is ________.

Amaximum
Bminimum
Czero
Dnone of the above
Answer is hidden
Question 107 of 393Structural Mechanics

On the Principal plane, shear stress is ________.

Azero
Bmaximum
Cminimum
Dinfinity
Answer is hidden
Question 108 of 393Structural Mechanics

Principal stress on the plane of maximum shear stress is ________.

Amaximum
Bzero
Cminimum
Dnone of the above
Answer is hidden
Question 109 of 393Structural Mechanics

The magnitude of direct stress, across a principal plane is known as ________.

Abending stress
Bprincipal stress
Cshear stress
Dnormal stress
Answer is hidden
Question 110 of 393Structural Mechanics

On a principle plane the magnitude of shear stress will be equal to ________.

Amaximum
Bminimum
Czero
Dinfinity
Answer is hidden
Question 111 of 393Structural Mechanics

Which of the following stresses can be determined using Mohr's circle method?

ATorsional stress
BBending stress
CPrincipal stress
DAll of the above
Answer is hidden
Question 112 of 393Structural Mechanics

In a Mohr circle, the shear stress τ1 on the plane of maximum obliquity is ________.

Aless than the maximum shear stress τmax
Bmore than the maximum shear stress τmax
Cequal to the maximum shear stress τmax
Dnumerically equal to (σ1 − σ3)/2
Answer is hidden
Question 113 of 393Structural Mechanics

If a bar of large length when held vertically and subjected to a load at its lower end, its own-weight produces additional stress. The maximum stress will be ________.

Aat the lower cross-section
Bat the built-in upper cross-section
Cat the central cross-section
Dat every point of the bar
Answer is hidden
Question 114 of 393Structural Mechanics

When a body is subjected to direct stresses in two mutually perpendicular directions, tangential stress across inclined plane will be maximum when ________.

Aθ = 0°
Bθ = 45°
Cθ = 90°
Dθ = 180°
Answer is hidden
Question 115 of 393Structural Mechanics

When a body is subjected to two tensile stresses of equal magnitude on two mutually perpendicular planes, the radius of Mohr circle will be ________.

Azero
Bmaximum
Cminimum
Dinfinity
Answer is hidden
Question 116 of 393Structural Mechanics

The stress produced by sudden load is ________ times that is produced by gradual load.

A1/2
B1
C2
D4
Answer is hidden
Question 117 of 393Structural Mechanics

A beam has a solid circular section having diameter d. If a section of the beam is subjected to a shear force F, then maximum shear stress in the cross section is given by ________.

A4F/(3πd²)
B16F/(3πd²)
C8F/(3πd²)
D3F/(16πd²)
Answer is hidden
Question 118 of 393Structural Mechanics

The proof resilience per unit volume is called ________.

Astrain energy
Bmodulus of resilience
Cvolumetric strain
DPoisson's ratio
Answer is hidden
Question 119 of 393Structural Mechanics

The ratio of change in volume to the original volume is called ________.

Alinear strain
Blateral strain
Cvolumetric strain
DPoisson's ratio
Answer is hidden
Question 120 of 393Structural Mechanics

The load beyond which a body will have permanent set is ________.

Arigidity
Bproof resilience
Cproof load
Dproof stress
Answer is hidden
Question 121 of 393Structural Mechanics

The correct sequence of stress-strain curve is as ________.

AEL, PL, TP, breaking point
BPL, YP, EL, breaking point
CPL, EL, YP, breaking point
DFL, BL, breaking point, YP
Answer is hidden
Question 122 of 393Structural Mechanics

Limit of proportionality depends upon ________.

Aarea of cross-section
Btype of loading
Ctype of material
Dall of the above
Answer is hidden
Question 123 of 393Structural Mechanics

Every material obeys Hooke's law within its ________.

Aelastic limit
Bplastic limit
Climit of proportionality
Dnone of the above
Answer is hidden
Question 124 of 393Structural Mechanics

The stress at which extension of a material takes place more quickly as compared to the increase in load is called ________.

Aelastic point
Bplastic point
Cbreaking point
Dyielding point
Answer is hidden
Question 125 of 393Structural Mechanics

Which point on the stress-strain curve occurs after yield plateau?

Alower yield point
Bupper yield point
Cultimate point
Dbreaking point
Answer is hidden
Question 126 of 393Structural Mechanics

The slope of the stress-strain curve in the elastic deformation region is ________.

Aelastic modulus
Bplastic modulus
CPoisson's ratio
Dnone of the above
Answer is hidden
Question 127 of 393Structural Mechanics

The total elongation of a bar due to its self-weight is (where w, L and E are the specific weight, length, and Young's modulus of the bar respectively) ________.

AwL²/E
Bw²L/E
CwL²/(2E)
Dw²L/(2E)
Answer is hidden
Question 128 of 393Structural Mechanics

If the material has identical elastic properties in all directions, it is called ________.

Aelastic
Bisotropic
Cplastic
Dhomogeneous
Answer is hidden
Question 129 of 393Structural Mechanics

Highest value of stress for which Hooke's law is applicable for a given material is called ________.

Astress limit
Bstrain limit
Cproportional limit
Dsignificant limit
Answer is hidden
Question 130 of 393Structural Mechanics

The material in which large deformation is possible before absolute failure by rupture is called ________.

Aplastic
Belastic
Cbrittle
Dductile
Answer is hidden
Question 131 of 393Structural Mechanics

In a body loaded under plane stress conditions, what is the number of independent stress components?

A1
B2
C3
D6
Answer is hidden
Question 132 of 393Structural Mechanics

For an isotropic, homogeneous and elastic material obeying Hooke's law, the number of independent elastic constants is ________.

A2
B3
C6
D1
Answer is hidden
Question 133 of 393Structural Mechanics

What will be the elastic modulus of a material if the Poisson's ratio for that material is 0.5?

Aequal to its shear modulus
Bthree times its shear modulus
Cfour times its shear modulus
Dnot determinable
Answer is hidden
Question 134 of 393Structural Mechanics

The Poisson's ratio of a material is 0.3. What will be the ratio of Young's modulus to bulk modulus?

A1.4
B1.2
C0.8
D0.6
Answer is hidden
Question 135 of 393Structural Mechanics

What will be the ratio of Young's modulus to the modulus of rigidity of a material having Poisson's ratio 0.25?

A3.75
B3
C1.5
D2.5
Answer is hidden
Question 136 of 393Structural Mechanics

The outside diameter of a hollow shaft is twice its inside diameter. The ratio of its torque carrying capacity to that of solid shaft of the same material and the same outside diameter is ________.

A15/16
B3/4
C1/2
D1/16
Answer is hidden
Question 137 of 393Structural Mechanics

A circular shaft is subjected to a torsion, the stress at the center of shaft is ________.

Azero
Bmaximum
Cminimum
Dinfinite
Answer is hidden
Question 138 of 393Structural Mechanics

The shear stress at the outermost fibres of a circular shaft under torsion is ________.

Azero
Bminimum
Cmaximum
Dinfinity
Answer is hidden
Question 139 of 393Structural Mechanics

If in a planar system, only 2 reaction forces are acting, then the system is ________.

Aessentially unstable
Bessentially stable
Ccan't say
Dnone of the above
Answer is hidden
Question 140 of 393Structural Mechanics

If all the reactions acting on a planar system are concurrent in nature, then the system is ________.

Acan't say
Bessentially stable
Cessentially unstable
Dnone of the above
Answer is hidden
Question 141 of 393Structural Mechanics

If a system has more equations of equilibrium than number of forces, then the system is ________.

Aimproperly constrained
Bpartially constrained
Cstable
Dsolvable
Answer is hidden
Question 142 of 393Structural Mechanics

Maximum number of unknown forces that can be determined in concurrent force system under equilibrium is ________.

Azero
B2
C3
D4
Answer is hidden
Question 143 of 393Structural Mechanics

How many cases out of the following are improperly constrained? Parallel forces, concurrent forces, perpendicular forces, only moment.

A1
B2
C3
D4
Answer is hidden
Question 144 of 393Structural Mechanics

A beam of uniform strength can be obtained by ________.

Akeeping the width uniform and varying the depth
Bkeeping the depth uniform and varying the width
Cvarying the width and depth both
Dany one of the above
Answer is hidden
Question 145 of 393Structural Mechanics

A beam is said to be of uniform strength if ________.

Athe shear stress is constant throughout the beam
Bthe extreme fibre stress is the same at every section
Cbending moment is constant throughout the length of the beam
Ddeflection is the same throughout the length of the beam
Answer is hidden
Question 146 of 393Structural Mechanics

The shear in a beam subjected to pure positive bending is ________.

Apositive
Bzero
Cnegative
Dintermediate
Answer is hidden
Question 147 of 393Structural Mechanics

Beyond elastic limit, tensile strain ________.

Aincreases more quickly
Bdecreases more quickly
Cincrease in proportion to stress
Ddecrease in proportion to stress
Answer is hidden
Question 148 of 393Structural Mechanics

If a material has identical elastic properties in all directions, it is said to be ________.

Ahomogeneous
Belastic
Cisotropic
Dvisco elastic
Answer is hidden
Question 149 of 393Structural Mechanics

For a linearly elastic, isotropic and homogeneous material, the number of elastic constants required to relate stress and strain is ________.

Atwo
Bthree
Cfour
Dsix
Answer is hidden
Question 150 of 393Structural Mechanics

The number of independent elastic constants for a linear elastic isotropic and homogeneous material is ________.

A4
B3
C2
D1
Answer is hidden
Question 151 of 393Structural Mechanics

The deterioration of the properties of a material which is subjected to repeatedly applied stress is termed as ________.

Aisotropic
Bcreep
Celasticity
Dfatigue
Answer is hidden
Question 152 of 393Structural Mechanics

What is the shape of load-deformation curve for a linear elastic member?

AStraight line with constant slope
BStraight line with varying slope
CCurve
DSine wave
Answer is hidden
Question 153 of 393Structural Mechanics

What is the shape of load-deformation curve for a non-linear elastic member?

AStraight line with constant slope
BStraight line with varying slope
CCurve
DCircle
Answer is hidden
Question 154 of 393Structural Mechanics

What is the relation between work done and complementary work done?

AThey are unequal
BThey are equal
CCan't say
DDepends upon loading
Answer is hidden
Question 155 of 393Structural Mechanics

The unit of elastic modulus is the same as those of ________.

Astress, shear modulus and pressure
Bstrain, shear modulus and force
Cshear modulus, stress and force
Dstress, strain and pressure
Answer is hidden
Question 156 of 393Structural Mechanics

How the elastic constants E and K are related?

AE = 2K(1 − 2μ)
BE = 3K(1 − 2μ)
CE = 2K(1 − μ)
DE = K(1 − 2μ)
Answer is hidden
Question 157 of 393Structural Mechanics

The relation between Young's Modulus (E), shear modulus (G) and Poisson's ratio (μ) is correctly given by the expression ________.

AG = E/[2(1 + μ)]
BE = G/[2(1 + μ)]
CG = E/[2(1 − μ)]
DE = G/[2(1 − μ)]
Answer is hidden
Question 158 of 393Structural Mechanics

At yield point of test specimen, the material ________.

AObeys Hooke's law
Bbehaves in an elastic manner
Cregains its original shape
Dundergoes plastic deformation
Answer is hidden
Question 159 of 393Structural Mechanics

What is the limiting values of Poisson's ratio?

A−1 and 0.5
B−1 and −0.5
C−0.5 and 0
D0 and 0.5
Answer is hidden
Question 160 of 393Structural Mechanics

Which of the following is true if the value of Poisson's ratio is zero?

AThe material is rigid
BThe material is perfectly plastic
CThe longitudinal strain in the material is infinite
DThe lateral strain in the material is zero
Answer is hidden
Question 161 of 393Structural Mechanics

________ curve is formed due to bending of overhanging beams.

AElastic
BPlastic
CFlexural
DAxial
Answer is hidden
Question 162 of 393Structural Mechanics

Curvature of the beam is ________ to bending moment.

Aequal
Bdirectly proportional
Cinversely proportional
Dcoincides
Answer is hidden
Question 163 of 393Structural Mechanics

The term EI d²y/dx² represents ________.

Ashear force
Bbending moment
Cslope of bending moment diagram
Dmaxima/minima condition for deflection
Answer is hidden
Question 164 of 393Structural Mechanics

The resistance offered by a material to deformation when subjected to external load is ________.

Aresistivity
Bresilience
Cstress
Dstrain
Answer is hidden
Question 165 of 393Structural Mechanics

________ is a property of a material by virtue of it, material regain original shape after removal of load.

Arigidity
Bplasticity
Celasticity
Dnone of the above
Answer is hidden
Question 166 of 393Structural Mechanics

The phenomenon of slow extension of materials with time under constant load is called ________.

Ayielding
Bcreep
Cbreaking
Dnone of the above
Answer is hidden
Question 167 of 393Structural Mechanics

What is the bulk modulus of elasticity?

AThe ratio of shear stress to shear strain
BThe ratio of direct stress to direct strain
CThe ratio of volumetric stress to volumetric strain
DThe ratio of direct stress to volumetric strain
Answer is hidden
Question 168 of 393Structural Mechanics

At the neutral axis, bending stress is ________.

Aminimum
Bmaximum
Czero
Dconstant
Answer is hidden
Question 169 of 393Structural Mechanics

In the theory of simple bending, the bending stress in the beam section varies ________.

Alinearly
Bparabolic
Celliptically
Dnone of the above
Answer is hidden
Question 170 of 393Structural Mechanics

In a beam, effect of bending stress is ________ effect of shear stress.

Agreater than
Bless than
Cequal to
Dnegligible
Answer is hidden
Question 171 of 393Structural Mechanics

Area moment of inertia of the cross-section of the beam resist ________.

Athe applied normal force
Bboth the torque and bending moment
Cthe applied torque
Dthe applied bending moment of the beam
Answer is hidden
Question 172 of 393Structural Mechanics

A simply supported beam of uniform cross section is subjected to maximum bending moment of 2.25 t.m. If it has rectangular cross section, with width 15 cm and depth 30 cm, then maximum bending stress induced in the beam will be ________.

A50 kg/cm²
B100 kg/cm²
C150 kg/cm²
D225 kg/cm²
Answer is hidden
Question 173 of 393Structural Mechanics

The load on a spring per unit deflection is called ________.

Astiffness
Bproof resilience
Cproof stress
Dproof load
Answer is hidden
Question 174 of 393Structural Mechanics

Moment required to produce unit rotation is called ________.

Aflexibility
Bstiffness
Crigidity
Dnone of the above
Answer is hidden
Question 175 of 393Structural Mechanics

Two beam sections, one is circular and other square made from same materials and having same cross-sectional area, when subjected to bending ________.

Amoment of resistance for both beams is same
Bcircular section has higher M.R.
Csquare section has higher M.R.
Dnone of the above
Answer is hidden
Question 176 of 393Structural Mechanics

The flexural member beam is designed for ________.

Amaximum SF at center
Bminimum shear force at center
Cmaximum BM at center
Dminimum bending moment at center
Answer is hidden
Question 177 of 393Structural Mechanics

The equation of flexure is ________.

AM/I = σ/y = E/R
B1/I = σ/y = E/R
CI/M = y/σ = E/R
DM/I = σ/y = E/R
Answer is hidden
Question 178 of 393Structural Mechanics

As per the Euler's theory, failure in column will be by ________.

Abuckling
Bcrippling
Ccrushing
Dcrippling and buckling
Answer is hidden
Question 179 of 393Structural Mechanics

Euler's formula is not valid, for mild steel column when slenderness ratio is ________.

Amore than 80
Bless than 80
Cmore than 120
Dmore than 30
Answer is hidden
Question 180 of 393Structural Mechanics

A column that fails due to direct stress is called ________.

Ashort column
Blong column
Cweak column
Dslender column
Answer is hidden
Question 181 of 393Structural Mechanics

The buckling load for a given column depends upon ________.

Across sectional area of column
Blength and least radius of gyration
Cmodulus of elasticity of column material
Dall of the above
Answer is hidden
Question 182 of 393Structural Mechanics

The buckling load will be maximum for a column, if ________.

Aone end of column is clamped and other free
Bboth ends of the column are clamped
Cboth ends of the column are hinged
Done end of the column is hinged and other clamped
Answer is hidden
Question 183 of 393Structural Mechanics

The formula which can be used for column load to account combined effect of bending and direct stresses is ________.

AEuler's formula
BRankine's formula
CPerry's formula
DStraight line formula
Answer is hidden
Question 184 of 393Structural Mechanics

The load at which column just starts buckling is called ________.

Acrippling load
Bbuckling load
Ccritical load
Dany one of these
Answer is hidden
Question 185 of 393Structural Mechanics

Slenderness ratio of long column is ________.

Aarea of cross section divided by radius of gyration
Barea of cross section divided by least radius of gyration
Cradius of gyration divided by area of cross section
Dlength of column divided by least radius of gyration
Answer is hidden
Question 186 of 393Structural Mechanics

For long columns, the value of buckling load is ________ crushing load.

Aequal to
Bless than
Cmore than
Dnone of the above
Answer is hidden
Question 187 of 393Structural Mechanics

The direct stress induced in a long column is ________ as compared to bending stress.

Asame
Bmore
Cless
Dnegligible
Answer is hidden
Question 188 of 393Structural Mechanics

The nature of crippling load in a column is ________.

Atensile load
Bcompressive load
Clive load
Ddead load
Answer is hidden
Question 189 of 393Structural Mechanics

For a long column with one end fixed and other end hinged, effective length is ________.

AL
BL/2
CL/√2
D2L
Answer is hidden
Question 190 of 393Structural Mechanics

Given that the unsupported length of the column with both ends fixed is L. What will be the unsupported length of an equivalent column with one end fixed and the other end free?

AL
BL/2
CL/4
DL/8
Answer is hidden
Question 191 of 393Structural Mechanics

The ratio of effective length to actual length of column with one end free and other end fixed is ________.

A2
B0.5
C0.33
D1
Answer is hidden
Question 192 of 393Structural Mechanics

The effective length of column of length L, fixed against rotation and translation at one end is ________.

A0.5L
B0.7L
C1.414L
D2L
Answer is hidden
Question 193 of 393Structural Mechanics

For a circular column having its ends hinged, the slenderness ratio is 160. The L/d ratio of the column is ________.

A80
B57
C40
D20
Answer is hidden
Question 194 of 393Structural Mechanics

An electric pole is 5 m high from the ground level. Its effective length for design purpose will be ________.

A2.5 m
B3.53 m
C5.0 m
D10 m
Answer is hidden
Question 195 of 393Structural Mechanics

If a column of length L is restrained against horizontal and vertical displacement and is free to rotate at both ends, its equivalent length will be ________.

A2L
BL
C0.5L
D0.707L
Answer is hidden
Question 196 of 393Structural Mechanics

What should be the effective length of compression members effectively held in position and restrained against rotation at both ends as per IS code?

A0.75L
B0.65L
C0.55L
D0.45L
Answer is hidden
Question 197 of 393Structural Mechanics

The effective length used in crippling load formula for a column with both ends fixed is ________.

AL/2
BL
C2L
DL/√2
Answer is hidden
Question 198 of 393Structural Mechanics

A column of length L is fixed at both ends. It is equivalent to another column with both ends hinged having length ________.

AL
B2L
CL/2
DL/√2
Answer is hidden
Question 199 of 393Structural Mechanics

When does Euler's buckling occur in a column?

AWhen the column is compressed beyond its yield strength
BWhen the column is subjected to torsional forces
CWhen the column is subjected to bending moments
DWhen the column is axially loaded and has a slenderness ratio above a critical value
Answer is hidden
Question 200 of 393Structural Mechanics

P = π²EI/(4L²) is the equation of Euler's crippling load, if ________.

Aboth ends are fixed
Bboth ends are hinged
Cone end is fixed and other end is free
Done end is fixed and other end is hinged
Answer is hidden
Question 201 of 393Structural Mechanics

For the case of a slender column of length L and flexural rigidity EI built-in at base and free at top, Euler's critical load is ________.

Aπ²EI/L²
B2π²EI/L²
C3π²EI/L²
Dπ²EI/(4L²)
Answer is hidden
Question 202 of 393Structural Mechanics

Euler's equation for crippling load when both ends of column are hinged is ________.

Aπ²EI/L²
B4π²EI/L²
Cπ²EI/(4L²)
D2π²EI/L²
Answer is hidden
Question 203 of 393Structural Mechanics

When a column is fixed at both ends then corresponding Euler's critical load is ________.

Aπ²EI/L²
B4π²EI/L²
Cπ²EI/(4L²)
D2π²EI/L²
Answer is hidden
Question 204 of 393Structural Mechanics

The Euler's crippling load formula with one end fixed and other hinged is given by ________.

Aπ²EI/L²
B2π²EI/L²
C4π²EI/L²
Dπ²EI/(4L²)
Answer is hidden
Question 205 of 393Structural Mechanics

Euler's crippling load for column of one end fixed and other end free condition is ________.

Aπ²EI/L²
B2π²EI/L²
C4π²EI/L²
Dπ²EI/(4L²)
Answer is hidden
Question 206 of 393Structural Mechanics

Euler's crippling load of a square column cross section will be ________ if its side is doubled.

A1/2 times
B1/4 times
C2 times
D16 times
Answer is hidden
Question 207 of 393Structural Mechanics

The ratio of Euler's crippling load for column with both ends fixed to that of both ends hinged is ________.

A0.5
B1
C2
D4
Answer is hidden
Question 208 of 393Structural Mechanics

The ratio of Euler's crippling load for column with both ends fixed and column with one end fixed and other hinged is ________.

A2
B0.5
C0.25
D4
Answer is hidden
Question 209 of 393Structural Mechanics

Which of the following is statically determinate structure?

AFixed beam
BContinuous beam
CTwo hinged arch
DDouble overhanging beam
Answer is hidden
Question 210 of 393Structural Mechanics

Which of the following is an example for statically determinate structure?

ATwo hinged arch
BCantilever beam
CFixed beam
DContinuous beam
Answer is hidden
Question 211 of 393Structural Mechanics

Which condition applies for statically indeterminate beams?

ANo. of equilibrium conditions are more than no. of reactions
BNo. of reactions are more than no. of equilibrium conditions
CNo. of reactions are equal to no. of equilibrium conditions
DNo. of reactions are more than no. of forces
Answer is hidden
Question 212 of 393Structural Mechanics

If the forces in the members of a structure as well as the reactions can be found by the conditions of equilibrium, then it is known as ________.

AStatically stable
BStatically unstable
CStatically determinate
DStatically indeterminate
Answer is hidden
Question 213 of 393Structural Mechanics

If 4 reactions are acting on a beam, then the system is ________.

AUnstable and indeterminate
BStable and indeterminate
CStable and determinate
DCan't say
Answer is hidden
Question 214 of 393Structural Mechanics

How many compatibility equations should be written if we have n number of redundant reactions?

An - 1
Bn
Cn + 1
Dn + 2
Answer is hidden
Question 215 of 393Structural Mechanics

Static indeterminacy for rigid jointed plane frame is given by ________.

A(m + r) - 2j
B(m + r) - 3j
C(3m + r) - 3j
D(6m + r) - 6j
Answer is hidden
Question 216 of 393Structural Mechanics

Static indeterminacy for pin jointed plane frame is given by ________.

A(m + r) - 2j
B(m + r) - 3j
C(3m + r) - 3j
D(6m + r) - 6j
Answer is hidden
Question 217 of 393Structural Mechanics

If in a pin jointed plane frame (m + r) > 2j, then the frame is ________. Where 'm' is number of members, 'r' is reaction components and 'j' is number of joints.

AUnstable
BStable and statically indeterminate
CStable and determinate
DNone of the above
Answer is hidden
Question 218 of 393Structural Mechanics

For a statically indeterminate pin-jointed plane truss, the relation between number of members 'm' and number of joints 'j' is expressed as ________.

Am = 3j - 6
Bm > 2j - 3
Cm = 2j - 3
Dm > 3j - 6
Answer is hidden
Question 219 of 393Structural Mechanics

A rigid-jointed plane frame is stable and statically determinate if ________.

A(m + r) = 3j
B(3m + r) = 3j
C(m + 3r) = 3j
D(3m + r) < 2j
Answer is hidden
Question 220 of 393Structural Mechanics

A continuous beam has a fixed end at support A and roller support at B and C. What will be the degree of redundancy of the structure?

A3
B1
C2
D4
Answer is hidden
Question 221 of 393Structural Mechanics

If a structure has 2j - r number of members, then it will be ________.

AStable
BUnstable
CDepends upon structure
DDepends upon magnitude of load
Answer is hidden
Question 222 of 393Structural Mechanics

If a structure has total 10 joints, then what should be the minimum number of joints in which equilibrium equations should be concurrently satisfied for stability?

A7
B8
C9
D10
Answer is hidden
Question 223 of 393Structural Mechanics

A plane truss has 11 members and 8 joints, how many additional members are needed to make the truss stable?

A0
B1
C2
D3
Answer is hidden
Question 224 of 393Structural Mechanics

The degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is ________.

A2
B3
C6
D8
Answer is hidden
Question 225 of 393Structural Mechanics

The number of independent displacement components at each joint of a rigid jointed space frame is ________.

A2
B4
C6
D8
Answer is hidden
Question 226 of 393Structural Mechanics

The degree of static indeterminacy of propped cantilever beam is ________.

A1
B2
C3
D4
Answer is hidden
Question 227 of 393Structural Mechanics

The propped cantilever beam is indeterminate by ________ degree.

A1
B2
C3
Dzero
Answer is hidden
Question 228 of 393Structural Mechanics

Which of the following is indeterminate structure?

ATwo hinge arches
BThree hinge arches
CSimple supported beam
DCantilever beam
Answer is hidden
Question 229 of 393Structural Mechanics

The degree of kinematic indeterminacy of pin jointed plane frame is ________.

A2j - r
Bj - 2r
C3j - r
D2j + r
Answer is hidden
Question 230 of 393Structural Mechanics

The degree of Kinematic Indeterminacy (Dk) for pin jointed space frame if members are extensible is: Where, r = Number of reactions, j = Number of joints and m = Number of members (members whole, extension is neglected).

ADk = [3j - r]
BDk = [2j - (m + r)]
CDk = [2j - r]
DDk = [6j - r]
Answer is hidden
Question 231 of 393Structural Mechanics

Find the indeterminacy of given figure.

A0
B6
C4
D3
Answer is hidden
Question 232 of 393Structural Mechanics

Conservation of energy will be applicable only when ________.

AStatic load is applied
BDynamic load is applied
CCan be anything
DLarge load is applied
Answer is hidden
Question 233 of 393Structural Mechanics

Strain energy stored in a bar due to axial load P is ________.

AP²L/AE
BP²L/(2AE)
CPL/(2AE)
DP²L/(4AE)
Answer is hidden
Question 234 of 393Structural Mechanics

Interpret from the following which one is wrong with respect to strain energy method for finding deflection?

ADeflection can be found only in the direction of load
BDeflection can be found at any point in the desired direction
CDeflection can be found only at the loaded point
DStructure should be subjected to a single concentrated load
Answer is hidden
Question 235 of 393Structural Mechanics

The strain energy stored in a simply supported beam of span 'l' due to central point load 'w' is ________.

Aw²l³/(48EI)
Bw²l³/(48EI)
Cw²l³/(96EI)
Dw²l²/(96EI)
Answer is hidden
Question 236 of 393Structural Mechanics

The strain energy stored in a spring, when subjected to maximum load, without suffering permanent distortion, is known as ________.

AImpact energy
BProof resilience
CProof stress
DModulus of resilience
Answer is hidden
Question 237 of 393Structural Mechanics

The partial derivative of strain energy gives ________.

ADeflection
BSlope
CMoment
DRedundant force
Answer is hidden
Question 238 of 393Structural Mechanics

The ratio of strain energy stored in a body due to suddenly applied load and gradually applied load is ________.

A0.5
B1
C2
D4
Answer is hidden
Question 239 of 393Structural Mechanics

Virtual work can be applied when ________.

AElastic limit is exceeded
BElastic limit is not exceeded
CDoesn't depend upon elastic limit
DCan't say
Answer is hidden
Question 240 of 393Structural Mechanics

Virtual work method can be applied when ________.

ASupports are moving
BSupports are not moving
CCan be applied in both case
DCan be applied in neither cases
Answer is hidden
Question 241 of 393Structural Mechanics

The principle of virtual work is used to satisfy ________.

AMechanism condition
BEquilibrium condition
CPlasticity condition
DNo condition is satisfied
Answer is hidden
Question 242 of 393Structural Mechanics

Virtual work is used to determine ________.

AYield load
BElastic load
CPlastic load
DCollapse load
Answer is hidden
Question 243 of 393Structural Mechanics

When a body is in equilibrium undergoes an infinitely small displacement, work imagined to be done is known as ________.

AImaginary work
BNegative work
CVirtual work
DNone of the above
Answer is hidden
Question 244 of 393Structural Mechanics

If a rigid body is in equilibrium under a system of forces, the virtual work done by this system of forces during virtual displacement is zero. This principle is known as ________.

AWork energy principle
BMecaulay's principle
CBernoulli's principle
DCastigliano's principle
Answer is hidden
Question 245 of 393Structural Mechanics

Virtual work refers to ________.

AVirtual work done by virtual forces
BVirtual work done by actual forces
CActual work done by actual forces
DActual work done by virtual forces
Answer is hidden
Question 246 of 393Structural Mechanics

Which of the following is important while designing Beam?

ASF at support
BBM at support
CSF at center
DBM at center
Answer is hidden
Question 247 of 393Structural Mechanics

The moment area method is not suitable for which type of beams?

ACantilevers beams
BContinuous beams
CSimply supported beams
DBeams fixed at both ends
Answer is hidden
Question 248 of 393Structural Mechanics

The maximum deflection of a fixed beam of length l carrying a central point load W is ________.

AWl³/(48EI)
BWl³/(96EI)
CWl³/(192EI)
DWl³/(384EI)
Answer is hidden
Question 249 of 393Structural Mechanics

The maximum deflection of a fixed beam carrying a central point load lies at ________.

AFixed ends
BCenter of beam
Cl/3 from ends
DAny of these
Answer is hidden
Question 250 of 393Structural Mechanics

The deflection at center of fixed beam with uniformly distributed load w per unit length over its length L is ________.

AwL⁴/(384EI)
BwL³/(384EI)
CwL⁴/(192EI)
DwL³/(192EI)
Answer is hidden
Question 251 of 393Structural Mechanics

The deflection at center of fixed beam with total load W (kN) applied uniformly over its length L is ________.

AWL⁴/(384EI)
BWL³/(384EI)
CWL⁴/(192EI)
DWL³/(192EI)
Answer is hidden
Question 252 of 393Structural Mechanics

In the case of a beam simply supported at both ends, if the same load instead of being concentrated at center is distributed uniformly throughout the length, then the deflection at center will get reduced by ________.

A1/2 times
B1/4 times
C5/8 times
D3/8 times
Answer is hidden
Question 253 of 393Structural Mechanics

A cantilever beam of length l carries a gradually varying load from zero at free end and w per unit length at fixed end. The maximum deflection lies at ________.

AFree end
BFixed end
CMid-span
DNone of the above
Answer is hidden
Question 254 of 393Structural Mechanics

Deflection at mid span of simply supported beam subjected to couple M at both ends is ________.

AML²/(16EI)
BML²/(8EI)
CML³/(24EI)
DML/(2EI)
Answer is hidden
Question 255 of 393Structural Mechanics

The deflection of simply supported beam having point load W acting at its center is ________.

AWL³/(3EI)
BWL³/(12EI)
CWL³/(48EI)
D5WL³/(384EI)
Answer is hidden
Question 256 of 393Structural Mechanics

What will be the deflection of a cantilever beam subjected to a point load W at its free end?

AWL³/(3EI)
BWL⁴/(4EI)
CWL³/(6EI)
DWL²/(2EI)
Answer is hidden
Question 257 of 393Structural Mechanics

For simply supported beams, the maximum permitted deflection is ________.

A1/325 of the span
B1/300 of the span
C1/350 of the span
DNone of the above
Answer is hidden
Question 258 of 393Structural Mechanics

If m₁ and m₂ are the two individual members of truss of a compound truss, the truss is determinate and static if ________.

Am = m₁ + m₂
Bm = m₁ + m₂ + 1
Cm = m₁ + m₂ + 2
Dm = m₁ + m₂ + 3
Answer is hidden
Question 259 of 393Structural Mechanics

The fixed support in a real beam becomes in the conjugate beam a ________.

AFixed support
BHinged support
CRoller support
DFree support
Answer is hidden
Question 260 of 393Structural Mechanics

The conjugate method falls in the category of ________.

AForce method
BDisplacement
CStiffness
DNone of the above
Answer is hidden
Question 261 of 393Structural Mechanics

Bending moment at any section in a conjugate beam gives ________ in the actual beam.

ASlope
BDeflection
CCurvature
DNone of the above
Answer is hidden
Question 262 of 393Structural Mechanics

The moment area method is not suitable for which type of beams?

ACantilevers beams
BContinuous beams
CSimply supported beams
DBeams fixed at both ends
Answer is hidden
Question 263 of 393Structural Mechanics

The relation, slope = area of BMD/EI, is given by ________.

AMohr's first theorem
BMohr's second theorem
CCastigliano's theorem
DMacaulay's theorem
Answer is hidden
Question 264 of 393Structural Mechanics

Shear force at any section in a conjugate beam gives ________ in the actual beam.

ASlope
BDeflection
CCurvature
DNone of the above
Answer is hidden
Question 265 of 393Structural Mechanics

In the moment area method, the difference in slope between two sections of a beam is equal to the ________.

AArea of M/EI diagram between these two sections
BMoment of M/EI diagram between these two sections
C1/2 area of M/EI diagram between these two sections
D1/2 moment of M/EI diagram between these two sections
Answer is hidden
Question 266 of 393Structural Mechanics

In the moment area method, the deflection of point A from a tangent at B is equal to ________.

AArea of M/EI diagram between A and B
BMoment of M/EI diagram between A and B about A
CMoment of M/EI diagram between A and B about B
D1/2 area of M/EI diagram between A and B
Answer is hidden
Question 267 of 393Structural Mechanics

The theorem of three moments is applicable only when ________.

AThe beam is prismatic
BThe spans are equal
CThere is no discontinuity such as hinges within the span
DThere are at least 2 spans
Answer is hidden
Question 268 of 393Structural Mechanics

The fixed end of a continuous beam in Clapeyron's equation is replaced by an additional span of length ________.

AZero length
BInfinite length
CEqual to other span lengths
DNone of the above
Answer is hidden
Question 269 of 393Structural Mechanics

In influence line diagrams (ILD) ________.

APoints remain fixed, position of load changes
BPoints change, position of loads remain fixed
CBoth of them change
DNeither of them changes
Answer is hidden
Question 270 of 393Structural Mechanics

Influence line is ________.

AThe line showing stress function due to unit moving load
BThe line showing stress function due to unit load
CThe line showing stress function due to UDL
DAll of the above
Answer is hidden
Question 271 of 393Structural Mechanics

ILD means ________.

AInfluence length diagram
BInfluence line diagram
CInfluence line distance
DInfluence line diagnosis
Answer is hidden
Question 272 of 393Structural Mechanics

Influence line diagram refers to ________.

ADoes not have any impact on position of loading
BPoints change, position of loads remain fixed
CNo consideration of loads
DPoints remain fixed, position of load changes
Answer is hidden
Question 273 of 393Structural Mechanics

Which statement is correct for ILD?

AILD of statically determinate beams consist of straight lines
BILD of statically indeterminate beams consist of curved lines
CBoth of the above
DNone of the above
Answer is hidden
Question 274 of 393Structural Mechanics

Influence lines are drawn for structures ________.

AIndeterminate
BDeterminate
CAny type
DNone of the above
Answer is hidden
Question 275 of 393Structural Mechanics

How is an influence line diagram constructed?

ABy plotting the shear force and bending moment diagrams for a structure
BBy plotting the distribution of forces in a structure
CBy plotting the deflection of a structure under a load
DBy plotting the load effect on a specific point in a structure as a function of the position of the load
Answer is hidden
Question 276 of 393Structural Mechanics

For drawing ILD, what value of test load is assumed?

A1 unit
BArbitrary
CDepends upon structure
D0
Answer is hidden
Question 277 of 393Structural Mechanics

Identify the incorrect statement about Muller Breslau principle.

AIt is applicable when the material is within the elastic limit and obeys Hooke's law
BIt gives analytical method to find influence line diagram
CIt is applicable only for indeterminate structures
DIt gives excellent experimental approach to determine the influence lines for indeterminate structures
Answer is hidden
Question 278 of 393Structural Mechanics

Muller Breslau principle in structural analysis is used for ________.

ADrawing influence line diagram for any force function
BWriting virtual work equation
CSuperposition of load effects
DNone of the above
Answer is hidden
Question 279 of 393Structural Mechanics

Muller Breslau principle of influence line is applicable for ________.

ASimple beam
BContinuous beam
CRedundant truss
DAll of these
Answer is hidden
Question 280 of 393Structural Mechanics

To draw ILD for statically indeterminate beams, principle used is ________.

AMaxwell
BMuller-Breslau
CCastigliano
DNone of the above
Answer is hidden
Question 281 of 393Structural Mechanics

The line showing the variations of stress function at a given point due to a unit load moving on a span is known as ________.

ALoad line
BInfluence line
CCurve line
DStress function line
Answer is hidden
Question 282 of 393Structural Mechanics

The influence line for the structural function is used for obtaining maximum value because of: A. Uniformly distributed load B. Single point load C. Series of concentrated load.

AOnly A
BA and B
CB and C
DA, B and C
Answer is hidden
Question 283 of 393Structural Mechanics

What will be the shape of ILD curve for vertical reaction at point A (RAy)?

ATriangular
BCircular
CRectangular
DTrapezoidal
Answer is hidden
Question 284 of 393Structural Mechanics

The influence line diagram for reaction at the support of a cantilever will be ________.

ATriangle with zero ordinate at fixed end and unit ordinate at free end
BTriangle with unit ordinate at fixed end and zero ordinate at free end
CRectangle with ordinate 1/2
DRectangle with unit ordinate
Answer is hidden
Question 285 of 393Structural Mechanics

The influence line diagram for BM at a section of a simply supported beam will be a ______.

Atriangle with maximum ordinate at the section and zero at the support nearer to the two supports
Btriangle with maximum ordinate at the section and zero at the other support
Crectangle with unit ordinate
Dnone of the above
Answer is hidden
Question 286 of 393Structural Mechanics

The influence line diagram for BM at a section in a cantilever will be a triangle extending between the section and the ______.

Afixed end with maximum ordinate under the section
Bfixed end with maximum ordinate under the fixed end
Cunsupported end with maximum ordinate at the section
Dunsupported end with maximum ordinate at the supported end
Answer is hidden
Question 287 of 393Structural Mechanics

The influence line diagram for reaction at a support of a simply supported beam is ______.

Aa triangle with ordinate 1 at that support and zero at the other support
Ba triangle with ordinate 1
Ca rectangle with ordinate 1
Da rectangle with ordinate 1/2
Answer is hidden
Question 288 of 393Structural Mechanics

For a simply supported beam AB of span L, if unit load is at x distance from A, then RB = ______.

A(L − x) / L
Bx / L
C(x − L) / L
DL / x
Answer is hidden
Question 289 of 393Structural Mechanics

For a simply supported beam AB of span L, if unit load is at x distance from A, then RA = ______.

A(L − x) / L
Bx / L
C(x − L) / L
DL / x
Answer is hidden
Question 290 of 393Structural Mechanics

Equation to find ILD for member of Truss is ______.

Aa(L − a) / (Lh)
Ba(L − a) / L
Ca(L − a) / h
D(L − a) / (Lh)
Answer is hidden
Question 291 of 393Structural Mechanics

If on ILD analysis peak force comes out to be 2 kN, then what will be the peak force if loading is single point load?

A1 kN
B2 kN
C3 kN
D4 kN
Answer is hidden
Question 292 of 393Structural Mechanics

A single-rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be ______.

A60 kN-m
B40 kN-m
C20 kN-m
D30 kN-m
Answer is hidden
Question 293 of 393Structural Mechanics

A single rolling load of 40 kN rolls from left end along a simply supported girder of span 20 m. The absolute maximum positive and negative shear force, respectively, are ______.

A14 kN and −26 kN
B40 kN and −40 kN
C26 kN and −14 kN
D20 kN and −20 kN
Answer is hidden
Question 294 of 393Structural Mechanics

A UDL of 10 kN/m of length 5 m is moving from left to right support on a simply supported beam of span 10 m. The maximum bending moment at 4 m from the left support is ______.

A70 kN-m
B90 kN-m
C50 kN-m
D30 kN-m
Answer is hidden
Question 295 of 393Structural Mechanics

When a uniformly distributed load, shorter than the span of the girder, moves from left to right, the conditions for maximum bending moment at a section is that ______.

Athe head of the load reaches the section
Bthe tail of the load reaches the section
Cthe load position should be such that the section divides it equally on both sides
Dthe load position should be such that the section divides the load in the same ratio as it divides the span
Answer is hidden
Question 296 of 393Structural Mechanics

The maximum bending moment due to a train of wheel loads on a simply supported girder ______.

Aalways occurs at center of span
Balways occurs under a wheel load
Cnever occurs under a wheel load
Dnone of the above
Answer is hidden
Question 297 of 393Structural Mechanics

Influence line diagram for bending moment in a simply supported beam is a ______.

Astraight line
Bparabola
Ctriangle
Dnone of the above
Answer is hidden
Question 298 of 393Structural Mechanics

The ILD for reaction at fixed support of cantilever beam is ______.

A1 ordinate throughout the span
B1 ordinate at free end, 0 ordinate at fixed support
C1 ordinate at fixed support, 0 ordinate at free end
Dnone of the above
Answer is hidden
Question 299 of 393Structural Mechanics

ILD for shear force at a section for a cantilever beam is ______.

Atriangle between free and fixed end
Btriangle between free and section
Crectangle between free and fixed end
Drectangle between free and section
Answer is hidden
Question 300 of 393Structural Mechanics

ILD for the shear force at the support of the cantilever beam is ______.

Azero throughout the span
Btriangle with zero at free end
Crectangle throughout the span
Dtriangle with zero at fixed end
Answer is hidden
Question 301 of 393Structural Mechanics

The ILD of a three hinged arch of span L and rise h due to horizontal thrust H is ______.

Atriangle with maximum ordinate at center equals L/(24h)
Bsquare with its ordinate equal to L/(24h)
Csquare with its ordinate equal to L/(2h)
Dtriangle with its maximum ordinate at center equals L/(4h)
Answer is hidden
Question 302 of 393Structural Mechanics

Which of the following are statically determinate beams?

AOnly simply supported beams
BCantilever, overhanging and simply supported
CFixed beams
DContinuous beams
Answer is hidden
Question 303 of 393Structural Mechanics

In two-hinged arch, how many unknown forces exist?

AOne unknown
BTwo unknowns
CThree unknowns
DFour unknowns
Answer is hidden
Question 304 of 393Structural Mechanics

What is the degree of indeterminacy of a two hinged arch?

A1
B2
C3
D4
Answer is hidden
Question 305 of 393Structural Mechanics

Identify the incorrect statement according to the hinged arches.

AThree hinged arch is a statically determinate structure
BTo analyze three hinged arch, equilibrium equations are sufficient
CFor three hinged parabolic arch subjected to UDL over the entire span, the bending moment is constant throughout the span
DFor two hinged parabolic arch subjected to UDL over the entire span, the bending moment is zero throughout the span
Answer is hidden
Question 306 of 393Structural Mechanics

In hinge less arch, it is supported to ______.

Astable
Bgeometrically unstable
C2nd degree
D3rd degree
Answer is hidden
Question 307 of 393Structural Mechanics

The masonry arches resist the external loads by ______.

Anormal thrust and shear
Bnormal thrust, radial shear and moment
Cbending moment and radial shear
Dthrust only
Answer is hidden
Question 308 of 393Structural Mechanics

An arch can be treated as a curved beam ............

Awhose ends are restrained against horizontal movement
Bwhose ends do not provide any reaction
Cwhose ends are unsupported
Dnone of the above
Answer is hidden
Question 309 of 393Structural Mechanics

In arches and lintels, back is the ............

Ahighest point on the extrados of an arch
Bupper surface of an arch
Cunder surface of an arch
Douter curve of an arch ring
Answer is hidden
Question 310 of 393Structural Mechanics

The line of thrust of the linear arch is ............

Athe axis of the arch
Bthe imaginary line of thrust for a given set of loads
Cthe springing line
Dnone of the above
Answer is hidden
Question 311 of 393Structural Mechanics

The moments in the arch will be zero, if ............

Aends are hinged
Bends are fixed
Cthe arch axis coincides with the line of thrust
Dthe arch axis is parallel to the line of thrust
Answer is hidden
Question 312 of 393Structural Mechanics

The vertical reaction for the arch is [W load acting at 'a' distance from support with span 2l] ............

AWa/2l
BWl/a
CWa/l
DWa²/2l
Answer is hidden
Question 313 of 393Structural Mechanics

The vertical distance between the springing line and the highest point on the intrados is called ............ of the arch.

Adepth
Bextrados
Chaunch
Drise
Answer is hidden
Question 314 of 393Structural Mechanics

The top most part of an arch is called ............

Asoffit
Bcrown
Ccenter
Dabutment
Answer is hidden
Question 315 of 393Structural Mechanics

The normal thrust at any section along the tangent to the centerline of the arch is ............

AH cos θ + V sin θ
BV cos θ + H sin θ
CH cos θ − V sin θ
DV cos θ − H sin θ
Answer is hidden
Question 316 of 393Structural Mechanics

Radial shear in two hinged arch, tangent to the arch makes an angle theta with horizontal ............

AH cos θ + V sin θ
BV cos θ + H sin θ
CH cos θ − V sin θ
DV cos θ − H sin θ
Answer is hidden
Question 317 of 393Structural Mechanics

For a two hinged arch, if one of the supports settles horizontally, then the horizontal thrust ............

Ais increased
Bis decreased
Cremains unchanged
Dbecomes zero
Answer is hidden
Question 318 of 393Structural Mechanics

In a two-hinged arch, the moment will be zero under which condition?

AWhen the arch span is equal to the rise
BWhen the arch is subjected to a uniform load
CWhen the thrust axis and the hinge axis coincide
DWhen the supports are fixed
Answer is hidden
Question 319 of 393Structural Mechanics

In a two hinged parabolic arch, an increase in temperature will ............

Adecrease the horizontal thrust
Bincrease the bending moment
Cincrease the horizontal thrust
Dmake no change in horizontal thrust
Answer is hidden
Question 320 of 393Structural Mechanics

The locus of the reaction of a two-hinged semi-circular arch is ............

Astraight line
Bparabola
Ccircle
Dhyperbola
Answer is hidden
Question 321 of 393Structural Mechanics

The ILD of horizontal thrust in a 2 hinge parabolic arch is ............

Aparabolic
Bcircular
Ctriangular
Dfunicular polygon
Answer is hidden
Question 322 of 393Structural Mechanics

For a two hinged arch having constant EI, the horizontal thrust H at a point (x, y) on the arch, in terms of beam moment M is given by ............

A∫My(dy/dx) / ∫(y³ ds/EI)
B∫My(dy/dx) / ∫(y ds/EI)
C∫My²(dy/dx) / ∫(y² ds/EI)
D∫My(dy/dx) / ∫(y² ds/EI)
Answer is hidden
Question 323 of 393Structural Mechanics

For given two hinged semicircular arches A, B and C of radii 5 m, 7.5 m, and 10 m respectively and carrying concentrated crown load W, ratio of horizontal thrust at their support will be ............

A1 : 1 : 1
B1 : 1.5 : 2
C2 : 1.5 : 1
D2
Answer is hidden
Question 324 of 393Structural Mechanics

A parabolic two hinged arch is loaded with a concentrated load W at the crown. The horizontal thrust is equal to ............ [Where 'L' is the span and 'h' is the rise]

A54WL/128h
B25WL/128h
C50WL/128h
D36WL/128h
Answer is hidden
Question 325 of 393Structural Mechanics

Calculate the horizontal thrust for the two hinged semicircular arch loaded with point load at its crown.

AW/π
BW/(π sin² α)
C4RW/(3π)
DW/(2π)
Answer is hidden
Question 326 of 393Structural Mechanics

Calculate the horizontal thrust for the two hinged semicircular arch loaded uniformly throughout with distributed load.

AW/π
BW/(π sin² α)
C4RW/(3π)
DW/(2π)
Answer is hidden
Question 327 of 393Structural Mechanics

The horizontal thrust in a two hinged semi-circular arch subjected to UDL of w kN/m over left half span will be ............

A4wR/(3π)
BwR/2
CwR
D2wR/(3π)
Answer is hidden
Question 328 of 393Structural Mechanics

A three-hinged semi-circular arch of radius R carries a concentrated load W at the crown. Horizontal thrust acting on the arch at the hinge would be ............

AW/(2π)
BW/π
C2W/3
D4W/(3π)
Answer is hidden
Question 329 of 393Structural Mechanics

Calculate the horizontal thrust for the two hinged parabolic arch loaded uniformly throughout with distributed load.

AWL²/(32H)
BWL²/(16H)
CWL²/(8H)
DWL²/(2H)
Answer is hidden
Question 330 of 393Structural Mechanics

Calculate the horizontal thrust for the two hinged parabolic arch loaded with point load at its crown.

AW/π
BW/(π sin² α)
C4RW/(3π)
D25WL/(128H)
Answer is hidden
Question 331 of 393Structural Mechanics

The maximum shear force in three hinged parabolic arch usually occurs at ............

Aquarter span
Bcrown
Cspringings
Dnone of the above
Answer is hidden
Question 332 of 393Structural Mechanics

In three hinged arch, maximum hogging moment occurs when, the point load is at ............

Aspringing
Bcrown
Cquarter span
Dthe section itself
Answer is hidden
Question 333 of 393Structural Mechanics

A three-hinged arch is hinged at supports end ............

Aat one quarter span
Bat the crown
Canywhere in arch
Dnone of the above
Answer is hidden
Question 334 of 393Structural Mechanics

Shape of three hinged arch is always ............

Ahyperbolic
Bcircular
Cparabolic
Dcan be any arbitrary curve
Answer is hidden
Question 335 of 393Structural Mechanics

If a three hinged parabolic arch carries a uniformly distributed load on its entire span, every section of the arch resists ............

Acompressive force
Btensile force
Cshear force
Dbending moment
Answer is hidden
Question 336 of 393Structural Mechanics

The maximum bending moment due to concentrated load in three hinged parabolic arches having one of its hinges at the crown, occurs on either side of the crown at the distance ............

AL/4
BL/2
CL/(2√3)
DL/(3√2)
Answer is hidden
Question 337 of 393Structural Mechanics

The maximum ordinate under the crown hinge of influence line diagram for the horizontal thrust of three hinged arch is equal to where L is span of the arch and h is the height of the crown hinge.

AL/(4h)
BL/(8h)
CL/(2h)
DL/(6h)
Answer is hidden
Question 338 of 393Structural Mechanics

If the span of a three hinged arch is L, h is the rise and UVL with maximum ordinate 'w' acting over the entire span, the horizontal reaction at each support is given by:

AwL²/(8h)
BwL²/(10h)
CwL²/(16h)
DwL²/(4h)
Answer is hidden
Question 339 of 393Structural Mechanics

If 'L' is the span of a three hinged arch, 'h' is the rise and 'W' is the u.d.l. per unit length over the entire span, the horizontal reaction at each support is given by:

AWL²/(8h)
BWL²/(10h)
CWL²/(16h)
DWL²/(4h)
Answer is hidden
Question 340 of 393Structural Mechanics

Internal bending moment generated in a three hinged arch is always ............

A0
Binfinite
Cvaries
Dnon zero value but remains constant
Answer is hidden
Question 341 of 393Structural Mechanics

Internal shear force generated in a three hinged arch is always ............

A0
Binfinite
Cvaries
Dnon zero value but remains constant
Answer is hidden
Question 342 of 393Structural Mechanics

A three-hinged parabolic arch has a span of 30 m and the central rise is 5 m. It is subjected to a point load of 8 kN at a distance of 20 m from the right hinge. Calculate the vertical reaction component at its left support.

A35.35 kN
B40 kN
C13.13 kN
D26.67 kN
Answer is hidden
Question 343 of 393Structural Mechanics

In case of a symmetric, fixed parabolic arch of span L and rise h, elastic centre is at a depth ............ below the crown.

Ah/4
Bh/3
Ch/2
Dh
Answer is hidden
Question 344 of 393Structural Mechanics

Flexibility matrix method of analysis is basically ............

Aforce method
Bdisplacement method
Cequilibrium method
Dall of the above
Answer is hidden
Question 345 of 393Structural Mechanics

Flexibility matrix is always ............

Asymmetric
Bnon-symmetric
Canti-symmetric
Ddepends upon loads applied
Answer is hidden
Question 346 of 393Structural Mechanics

Castigliano's theorem represents which one of the following methods?

Aequilibrium
Bflexibility
Cdisplacement
Dforce
Answer is hidden
Question 347 of 393Structural Mechanics

Castigliano's theorem fall under the category of ............

Adisplacement method
Bequilibrium method
Cforce method
Dstiffness method
Answer is hidden
Question 348 of 393Structural Mechanics

According to Castigliano's first theorem partial derivative of strain energy U with respect to force P will give ............

Aslope
Bdeflection
Cmoment
Dshear force
Answer is hidden
Question 349 of 393Structural Mechanics

The Castigliano's second theorem can be used to compute deflections ............

Ain statically determinate structure only
Bat the point under the load
Cfor the beam and frame only
Dfor any type of structure
Answer is hidden
Question 350 of 393Structural Mechanics

The unit load method used in structural analysis is ............

Aapplicable only to statically determinate structures
Banother name of stiffness method
Can extension of Maxwell's reciprocal theorem
Dderived from Castigliano's theorem
Answer is hidden
Question 351 of 393Structural Mechanics

Maxwell's reciprocal theorem is valid for all ............

Astatically determinate structures
Bstructures
Celastic structures
Dstructures with linear force displacement relations
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Question 352 of 393Structural Mechanics

The principle of least work is ............

ACastigliano's first theorem
BCastigliano's second theorem
CPrinciple of superposition
DMuller Breslau principle
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Question 353 of 393Structural Mechanics

The systematic development of slope deflection method in the matrix form is known as ............

Astiffness matrix method
Bdisplacement matrix method
Cequilibrium method
Dall the above
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Question 354 of 393Structural Mechanics

The fictitious method of finding slope and deflection of beam is ............

Aunit load method
BCastigliano's first theorem
CCastigliano's second theorem
Dconsistent deformation method
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Question 355 of 393Structural Mechanics

Principle of superposition is applicable when ............

Adeflections are linear functions of applied forces
Bmaterial obeys Hooke's law
Cthe action of applied forces will be affected by small deformations of the structure
Dnone of the above
Answer is hidden
Question 356 of 393Structural Mechanics

The principle of superposition states that the total deflection of a structure under different sets of load is equal to the sum of deflections under each set of loads acting separately on the structure if the loads are within ............

Aelastic limit
Bplastic limit
Cbreaking point
Dyield point
Answer is hidden
Question 357 of 393Structural Mechanics

Force method is also called ............ as per structural analysis.

ASlope deflection method
BKani's method
CMoment distribution method
DColumn analogy method
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Question 358 of 393Structural Mechanics

Which one of the following methods is not classified as a force method?

AThe theorem of three moments
BThe moments distribution method
CThe method of consistent deformation
DCastigliano's theorem
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Question 359 of 393Structural Mechanics

In column analogy method, the area of an analogous column for a fixed beam of span L and flexural rigidity EI is taken as ............

AL/EI
BL/2EI
CL/4EI
DL/8EI
Answer is hidden
Question 360 of 393Structural Mechanics

In slope deflection method, all the joints of the frame are assumed to be ............

AMoving
BSimply supported
CRigid
DRolling
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Question 361 of 393Structural Mechanics

The slope and deflection at the center of a simple beam carrying a central point load are ............

AZero and zero
BMaximum and zero
CMaximum and maximum
DMinimum and maximum
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Question 362 of 393Structural Mechanics

For a simply supported beam subjected to uniformly distributed load, if the length of the beam is doubled, deflection becomes ............ times.

A4
B2
C16
D8
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Question 363 of 393Structural Mechanics

In a simply supported beam of span L subjected to central concentrated load, the central deflection is 24 mm. Then the slope at supports is ............

A48/L radians
B36/L radians
C24/L radians
D72/L radians
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Question 364 of 393Structural Mechanics

In a cantilever beam, slope and deflection is maximum at ............

AFree end
BFixed end
CCenter
DOne fourth of span
Answer is hidden
Question 365 of 393Structural Mechanics

In slope deflection method, the slope and deflection of joints are computed using ............

ARigidity of joint
BElasticity of joint
CEquilibrium of structure
DEquilibrium of joint
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Question 366 of 393Structural Mechanics

A cantilever beam of length L has flexural rigidity EI up to length L/2 from the fixed end and EI/2 for the rest. It carries a moment M at the free end. The slope at the free end is given by ............

AM/2EI
B3ML/2EI
C2ML/3EI
DML/2EI
Answer is hidden
Question 367 of 393Structural Mechanics

The theorem of three moments cannot be applied to ............

AContinuous beams with overhangs
BTrusses and frames
CSingle span fixed beams
DContinuous beams with sinking supports and rotating joints
Answer is hidden
Question 368 of 393Structural Mechanics

The simultaneous equations of slope deflection method can be solved by iteration in ............

AConjugate beam method
BConsistent deformation method
CMoment distribution method
DWilliot Mohr method
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Question 369 of 393Structural Mechanics

Moment distribution method is introduced by ............

AHardy Cross
BKani
CMuller Breslau
DOtto Mohr
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Question 370 of 393Structural Mechanics

The moment distribution method is best suited for ............

AIndeterminate pin jointed truss
BRigid frames
CSpace frames
DTrussed beam
Answer is hidden
Question 371 of 393Structural Mechanics

Carryover moment is defined as ............

AThe moment applied at one end to cause unit slope at the support
BThe additional moment applied at one end to completely resist the rotation caused due to external loading
CThe moment developed or induced at one end due to a moment at another end
DThe moment applied at one end to cause unit slope at another end
Answer is hidden
Question 372 of 393Structural Mechanics

The factor by which the applied moment is multiplied to obtain the end moment of any member is known as the ............

ADistribution factor
BCarryover factor
CRelative stiffness
DTotal relative stiffness
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Question 373 of 393Structural Mechanics

The shape factor of cross section with diamond shape under flexure is ............

A1
B2
C3
D4
Answer is hidden
Question 374 of 393Structural Mechanics

When a structural member of the uniform section is subjected to a moment at one end only, then the moment required so as to rotate that end to produce a unit slope, is called ............

AResistance of member
BStiffness of member
CCapacity of member
DPotential of member
Answer is hidden
Question 375 of 393Structural Mechanics

Stiffness matrix method is also called ............

AFlexibility method
BForce method
CDisplacement method
DAll of the above
Answer is hidden
Question 376 of 393Structural Mechanics

The stiffness method in structural analysis is also known as ............

AUnit load method
BConsistent deformation method
CForce method
DDisplacement method
Answer is hidden
Question 377 of 393Structural Mechanics

If kᵢ is the stiffness of ith member at a joint, the distribution factor for the member is ............

Akᵢ
Bkᵢ/Σkᵢ
CΣkᵢ
DΣkᵢ - kᵢ
Answer is hidden
Question 378 of 393Structural Mechanics

What is the stiffness factor for a beam simply supported at both ends?

A3EI/L
B4EI/L
C2EI/L
DEI/L
Answer is hidden
Question 379 of 393Structural Mechanics

Stiffness of the end A if the far end B is vertical guided roller is ............

AEI/L
B2EI/L
C3EI/L
D4EI/L
Answer is hidden
Question 380 of 393Structural Mechanics

The stiffness of end A if the farther end is hinged is ............

A0
BEI/L
C3EI/L
D4EI/L
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Question 381 of 393Structural Mechanics

The stiffness for free end A if far end B is fixed is ............

A4EI/L
B3EI/L
C2EI/L
DEI/L
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Question 382 of 393Structural Mechanics

The ratio of the stiffness of a beam at the near end when the far end is hinged to the stiffness of the beam at the near end when the far end is fixed ............

A1
B0.5
C1.33
D0.75
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Question 383 of 393Structural Mechanics

If point A goes down and point B goes up, then this will be ............

APositive rotation
BNegative rotation
CCan't say
DDepends upon magnitude
Answer is hidden
Question 384 of 393Structural Mechanics

Lowest plastic limit load is obtained when ............

AOnly equilibrium condition of plastic analysis is satisfied
BOnly equilibrium and mechanism condition of plastic analysis are satisfied
COnly mechanism condition of plastic analysis is satisfied
DEquilibrium, mechanism and plasticity condition of plastic analysis are satisfied
Answer is hidden
Question 385 of 393Structural Mechanics

The moment which makes all the fibers at the section to yield is known as ...............

AFlexural rigidity
BMoment of resistance
CPlastic moment capacity
DYield moment
Answer is hidden
Question 386 of 393Structural Mechanics

Which load is obtained when equilibrium and mechanism conditions of plastic analysis are satisfied?

APlastic limit load
BUpper bound solution of true ultimate load
CLower bound solution of true ultimate load
DNo solution
Answer is hidden
Question 387 of 393Structural Mechanics

Which of the following relation is correct?

A-Mp ≥ M
BM > Mp
CM ≥ Mp
DM ≤ Mp
Answer is hidden
Question 388 of 393Structural Mechanics

The collapse load for a propped cantilever of span L subjected to a concentrated load W at mid-span is ...............

A2Mp/L
B3Mp/L
C4Mp/L
D6Mp/L
Answer is hidden
Question 389 of 393Structural Mechanics

Collapse load in a fixed beam of span L, carrying u.d.l. over entire span and having plastic moment capacity Mp is ...............

A6Mp/L
B8Mp/L
C8Mp/L²
D16Mp/L²
Answer is hidden
Question 390 of 393Structural Mechanics

The shape factor of a diamond shaped section for bending about its diametric axis is ...............

A1.2
B1.5
C2
DNone of the above
Answer is hidden
Question 391 of 393Structural Mechanics

The shape factor of a circular section with radius R is ...............

A4R/(3π)
B4R/π
C16R/(3π)
D8R/(3π)
Answer is hidden
Question 392 of 393Structural Mechanics

In a plastic analysis of structures, the segment between any two successive plastic hinges is assumed to deform as ...............

AA plastic material
BA rigid material
CAn elastic material
DAn inelastic material
Answer is hidden
Question 393 of 393Structural Mechanics

Plastic analysis is particularly suitable for the structures with ...............

AHigh redundancy and ductility
BLow redundancy and rigidity
CHigh redundancy and rigidity
DLow redundancy and ductility
Answer is hidden
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