Theory of Structures MCQ Pdf Download
In plastic analysis, the shape factor for a triangular section, is
A. 1.5
B. 1.34
C. 2.34
D. 2.5
Answer: Option C
Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as
A. Compound beams
B. Indeterminate beams
C. Determinate beams
D. Composite beams
Answer: Option D
The locus of reaction of a two hinged semi-circular arch, is
A. Straight line
B. Parabola
C. Circle
D. Hyperbola
Answer: Option A
For beams breadth is constant,
A. Depth d M
B. Depth d 3
C. Depth d
D. Depth d 1/M
Answer: Option B
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is
A. 2 mm
B. 3 mm
C. 4 mm
D. 5 mm
Answer: Option D
Shear strain energy theory for the failure of a material at elastic limit, is due to
A. Rankine
B. Guest or Trecas
C. St. Venant
D. Von Mises
Answer: Option D
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as
A. Straight line formula
B. Parabolic formula
C. Perry
D. Rankine
Answer: Option B
In case of principal axes of a section
A. Sum of moment of inertia is zero
B. Difference of moment inertia is zero
C. Product of moment of inertia is zero
D. None of these
Answer: Option C
constant, depth of a cantilever of length of uniform strength loaded with Keeping breadth uniformly distributed load varies from zero at the free end and
A. 2w w l at the fixed end
B. l) at the fixed end
C. w l) at the fixed end
D. 3w l at the fixed end
Answer: Option B
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is
A. 1/8
B. 1/4
C. 1/2
D. 1/3
Answer: Option C
Theory of Structures MCQ Pdf Download
A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is
A. 411 N mm
B. 511 N mm
C. 611 N mm
D. 711 N mm
Answer: Option C
A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is
A. L/d
B. L/2d
C. (L/2d)²
D. (L/3d)²
Answer: Option C
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is
A. M/T
B. T/M
C. 2M/ T
D. 2T/M
Answer: Option C
In the truss, the force in the member AC is
A. 6.25 t compressive
B. 8.75 t tensile
C. t tensile
D. t compressive
Answer: Option D
The forces in the members of simple trusses, may be analysed by
A. Graphical method
B. Method of joints
C. Method of sections
D. All the above
Answer: Option D
The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying
A. A uniformly distributed load ? per unit run over its right half span, is ? ?R/?
B. A uniformly distributed load ? per unit run over its entire span is 4/3 ?R/?
C. A distributed load varying from zero at the left end to ? per unit horizontal run at the right end, is ? ?R/?
D. All the above
Answer: Option D
A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised
A. Steel experiences tensile force
B. Brass experiences compressive force
C. Composite beam gets subjected to a couple
D. All the above
Answer: Option D
A compound truss may be formed by connecting two simple rigid frames, by
A. Two bars
B. Three bars
C. Three parallel bars
D. Three bars intersecting at a point
Answer: Option B
A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be
A. 2/3
B. 3/2
C. 5/8
D. 8/5
Answer: Option D
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is
A. 80 N/mm²
B. 100 N/mm 2
C. 120 N/mm²
D. 150 N/mm²
Answer: Option C
Theory of Structures MCQ Pdf Download
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is
A. 0.303
B. 0.404
C. 0.505
D. 0.707
Answer: Option D
A material is said to be perfectly elastic if
A. It regains its original shape on removal of the load
B. It regains its original shape partially on removal of the load
C. It does not regain its original shape at all
D. None of these
Answer: Option A
The ratio of maximum and average shear stresses on a rectangular section, is
A. 1
B. 1.25
C. 1.5
D. 2.5
Answer: Option C
The assumption in the theory of bending of beams is:
A. Material is homogeneous
B. Material is isotropic
C. Young’s modulus is same in tension as well as in compression
D. All the above
Answer: Option D
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is
A. 200 mm
B. 250 mm
C. 300 mm
D. 400 mm
Answer: Option D
Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then
A. M/I = R/E = F/Y
B. I/M = R/E = F/Y
C. M/I = E/R = F/Y
D. M/I = E/R = Y/F
Answer: Option C
Gradually applied static loads do not change with time their
A. Magnitude
B. Direction
C. Point of application
D. All the above
Answer: Option D
section modulus of a square section of side B and that of a circular section of the ratio of the diameter D, is
A. 2 /15
B. 3 /16
C. 3 /8
D. /16
Answer: Option B
The equivalent length of a column of length L, having both the ends hinged, is
A. 2L
B. L
C. L/2
D. L/√2
Answer: Option B
Maximum shear stress theory for the failure of a material at the elastic limit, is known
A. Guest's or Trecas' theory
B. St. Venant's theory
C. Rankine's theory
D. Haig's theory
Answer: Option A
Theory of Structures MCQ Pdf Download
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is
A. 1/8
B. 1/10
C. 1/12
D. 1/16
Answer: Option D
In plastic analysis, the shape factor for a circular section, is
A. 1.5
B. 1.6
C. 1.7
D. 1.75
Answer: Option C
Total strain energy theory for the failure of a material at elastic limit, is known
A. Guest’s or Trecas’ theory
B. St. Venant’s theory
C. Rankine’s theory
D. Haig’s theory
Answer: Option D
a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is
A. el/2d
B. e²l/3d²
C. el²/3d²
D. e²l²/3d²
Answer: Option C
Slenderness ratio of a long column, is
A. Area of cross-section divided by radius of gyration
B. Area of cross-section divided by least radius of gyration
C. Radius of gyration divided by area of cross-section
D. Length of column divided by least radius of gyration
Answer: Option D
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is
A. 0.207
B. 0.307
C. 0.407
D. 0.508
Answer: Option A
The ratio of lateral strain to axial strain of a homogeneous material, is known
A. Yield ratio
B. Hooke’s ratio
C. Poisson’s ratio
D. Plastic ratio
Answer: Option C
The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is
A. 1/2
B. 2/3
C. 1/4
D. 1/3
Answer: Option B
There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of
A. 1 : 1½ : 2
B. 2 : 1½ : 1
C. 1 : 1 : 2
D. None of these
Answer: Option C
At yield point of a test piece, the material
A. Obeys Hooke’s law
B. Behaves in an elastic manner
C. Regains its original shape on removal of the load
D. Undergoes plastic deformation
Answer: Option D
Theory of Structures MCQ Pdf Download
The shape factor of standard rolled beam section varies from
A. 1.10 to 1.20
B. 1.20 to 1.30
C. 1.30 to 1.40
D. 1.40 to 1.50
Answer: Option A
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be
A. 2/3
B. 3/2
C. 8/5
D. 5/8
Answer: Option C
Pick up the correct statement from the following:
A. The moment of inertia is calculated about the axis about which bending takes place
B. If tensile stress is less than axial stress, the section experiences compressive stress
C. If tensile stress is equal to axial stress, the section experiences compressive stress
D. All the above
Answer: Option D
The equivalent length is of a column of length having both the ends fixed, is
A. 2 L
B. L
C. L/2
D. L
Answer: Option C
A truss containing j joints and m members, will be a simple truss if
A. m = 2j – 3
B. j = 2m – 3
C. m = 3j – 2
D. j = 3m – 2
Answer: Option A
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be
A. 75 N/m²
B. 750 N/m²
C. 7500 N/m²
D. 75000 N/m²
Answer: Option C
The moment of inertia of a triangular section (height h, base b) about its base, is
A. bh²/12
B. b²h/12
C. bh³/12
D. b³h/12
Answer: Option C
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is
A. WL3/3EL
B. WL3/8EL
C. WL3/24EL
D. WL3/48EL
Answer: Option D
For beams of uniform strength, if depth is constant,
A. Width b M
B. Width b M
C. Width b 3 M
D. Width b 1/M
Answer: Option A
In plastic analysis, the shape factor for rectangular section, is
A. 1.4
B. 1.5
C. 1.6
D. 1.7
Answer: Option B
Theory of Structures MCQ Pdf Download
A compound bar consists of two bars of equal length. Steel bar cross -section is 3500 mm²and that of brass bar is 3000 mm². These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm² and Eb = 0.1 MN/mm², the stresses developed are:
A. b = 10 N/mm² s = 20 N/mm 2
B. b = 8 N/mm² s = 16 N/mm²
C. b = 6 N/mm² s = 12 N/mm²
D. b = 5 N/mm² s = 10 N/mm²
Answer: Option A
Flat spiral springs
A. Consist of uniform thin strips
B. Are supported at outer end
C. Are wound by applying a torque
D. All the above
Answer: Option D
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is
A. F/A
B. F/2A
C. 3F/2A
D. 2F/3A
Answer: Option C
A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm², the side of the rod, is
A. 1 cm
B. 1.5 cm
C. 2 cm
D. 2.5 cm
Answer: Option C
A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:
A. 4.0 mm
B. 4.5 mm
C. 5.0 mm
D. 5.5 mm
Answer: Option C
Principal planes are subjected to
A. Normal stresses only
B. Tangential stresses only
C. Normal stresses as well as tangential stresses
D. None of these
Answer: Option A
The yield moment of a cross section is defined as the moment that will just produce the yield stress in
A. The outer most fibre of the section
B. The inner most fibre of the section
C. The neutral fibre of the section
D. The fibre everywhere
Answer: Option A
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is
A. ML/EI
B. ML/2EI
C. ML²/2EI
D. ML²/3EI
Answer: Option D
The load on a spring per unit deflection, is called
A. Stiffness
B. Proof resilience
C. Proof stress
D. Proof load
Answer: Option A
A close coil helical spring when subjected to a moment M having its axis along the axis of the helix
A. It is subjected to pure bending
B. Its mean diameter will decrease
C. Its number of coils will increase
D. All the above
Answer: Option A
P = 4π² EI/L² is the equation of Euler's crippling load if
A. Both the ends are fixed
B. Both the ends are hinged
C. One end is fixed and other end is free
D. One end is fixed and other end is hinged
Answer: Option A
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is
A. 1
B. 2
C. 3
D. 4
Answer: Option D
A three hinged arch is generally hinged at its supports and
A. At one quarter span
B. At the crown
C. Anywhere in the rib
D. None of these
Answer: Option C
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is
A. 1/7
B. 2/7
C. 3/7
D. 2/5
Answer: Option B
If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,
A. Horizontal thrust is wl2/8h
B. S.F. will be zero throughout
C. B.M. will be zero throughout
D. All the above
Answer: Option D
The ratio of maximum shear stress to average shear stress of a circular beam, is
A. 2/3
B. 3/2
C. 3/4
D. 4/3
Answer: Option D
The ratio of the area of cross-section of a circular section to the area of its core, is
A. 4
B. 8
C. 12
D. 16
Answer: Option D
H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
A. H = 0
B. V = 0
C. M = 0
D. All the above
Answer: Option D
If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm² total cross sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm² and Es is 15
A. 264 MN
B. 274 MN
C. 284 MN
D. 294 MN
Answer: Option C
Maximum principal stress theory for the failure of a material at elastic point, is known
A. Guest's or Trecas' theory
B. St. Venant's theory
C. Rankine's theory
D. Von Mises' theory
Answer: Option C
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