The ratio of the deflections of the free end of a cantilever due to an isolated load at 3 1 rd and 3 2 rd of the span, is
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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
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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
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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. 3 E I W L 3
B. 8 E I W L 3
C. 24 E I W L 3
D. 48 E I W L 3
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The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying
A. A uniformly distributed load ω per unit run over its right half span, is 3 2 π ω R
B. A uniformly distributed load ω per unit run over its entire span is 3 4 π ω R
C. A distributed load varying from zero at the left end to ω per unit horizontal run at the right end, is 3 2 π ω R
D. All the above
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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
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If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
A. ΣH = 0
B. ΣV = 0
C. ΣM = 0
D. All the above
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The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is
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The equivalent length of a column of length L, having both the ends hinged, is
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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 : 1 2 1 : 2
B. 2 : 1 2 1 : 1
C. 1 : 1 : 2
D. None of these
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Gradually applied static loads do not change with time their
A. Magnitude
B. Direction
C. Point of application
D. All the above
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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
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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
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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
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The load on a spring per unit deflection, is called
A. Stiffness
B. Proof resilience
C. Proof stress
D. Proof load
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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
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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
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For beams of uniform strength, if depth is constant,
A. Width b ∝ M
B. C. D. Width b ∝ M 1
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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
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A compound bar consists of two bars of equal length. Steel bar cross-section is 3500 mm2 and that of brass bar is 3000 mm2 . These are subjected to a compressive load 1,00,000 N. If Eb = 0.2 MN/mm2 and Eb = 0.1 MN/mm2 , the stresses developed are:
A. σ b = 10 N/mm2 , σ s = 20 N/mm2
B. σ b = 8 N/mm2 , σ s = 16 N/mm2
C. σ b = 6 N/mm2 , σ s = 12 N/mm2
D. σ b = 5 N/mm2 , σ s = 10 N/mm2
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