Principal planes are planes having
A. Maximum shear stress
B. No shear stress
C. Minimum shear stress
D. None of the above
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The rectangular beam 'A' has length ‘l’, width ‘b’ and depth ‘d’. Another beam 'B' has the same length and depth but width is double that of 'A'. The elastic strength of beam 'B' will be _________ as compared to beam ‘A’.
A. Same
B. Double
C. Four times
D. Six times
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A simply supported beam 'A' of length l, breadth b, and depth d carries a central point load W. Another beam 'B' has the same length and depth but its breadth is doubled. The deflection of beam 'B' will be __________ as compared to beam 'A'.
A. One-fourth
B. One-half
C. Double
D. Four times
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For the beam shown in the below figure, the shear force at A is equal to
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Two closely-coiled helical springs 'A' and 'B' are equal in all respects but the number of turns of spring 'A' is double that of spring 'B'. The stiffness of spring 'A' will be __________ that of spring 'B'.
A. One-sixteenth
B. One-eighth
C. One-fourth
D. One-half
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The shear force at the center of a simply supported beam with a gradually varying load from zero at both ends to w per meter at the center, is
A. Zero
B. 4 w l
C. 2 w l
D. 2 w l 2
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The bending moment of a cantilever beam of length l and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is ________ at the fixed end.
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The shear force of a cantilever beam of length l and carrying a gradually varying load from zero at the free end and w per unit length at the fixed end is _________ at the fixed end.
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The shear force of a cantilever beam of length l carrying a uniformly distributed load of w per unit length is __________ at the fixed end.
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The bending moment of a cantilever beam of length 'l ' and carrying a uniformly distributed load of 'w' per unit length is __________ at the fixed end.
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Which of the following statement is wrong?
A. The deformation of the bar per unit length in the direction of the force is called linear strain.
B. The Poisson's ratio is the ratio of lateral strain to the linear strain.
C. The ratio of change in volume to the original volume is called volumetric strain.
D. The bulk modulus is the ratio of linear stress to the linear strain.
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Which of the following statement is wrong?
A. In the theory of simple bending, the assumption is that the plane sections before bending remains plane after bending.
B. In a beam subjected to bending moment, the strain is directly proportional to the distance from the neutral axis.
C. At the neutral axis of a beam, the bending stress is maximum.
D. The bending stress in a beam is inversely proportional to the section modulus.
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In Mohr's circle, the center of circle from Y-axis is taken as
A. 2 σ x − σ y
B. 2 σ x + σ y
C. 2 σ x − σ y + τ
D. 2 σ x + σ y + τ
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A beam of uniform strength may be obtained by
A. Keeping the width uniform and varying the depth
B. Keeping the depth uniform and varying the width
C. Varying the width and depth both
D. Any one of the above
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Two shafts 'A' and 'B' transmit the same power. The speed of shaft 'A' is 250 r.p.m. and that of shaft 'B' is 300 r.p.m.
A. The shaft 'B' has the greater diameter
B. The shaft 'A' has the greater diameter
C. Both are of same diameter
D. None of these
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The maximum bending moment for the beam shown in the below figure, is
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The neutral axis of the cross-section a beam is that axis at which the bending stress is
A. Zero
B. Minimum
C. Maximum
D. Infinity
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The neutral axis of the cross-section of a beam is that axis at which the bending stress is
A. Zero
B. Minimum
C. Maximum
D. Infinity
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The torque transmitted by a solid shaft of diameter (D) is (where τ = Maximum allowable shear stress)
A. 4 π × τ × D 3
B. 16 π × τ × D 3
C. 32 π × τ × D 3
D. 64 π × τ × D 3
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The torque transmitted by a hollow shaft of outer diameter (d1 ) and inner diameter (d2 ) is (where, τ = Maximum allowable shear stress)
A. 4 π × τ × d 1 d 1 4 − d 2 4
B. 16 π × τ × d 1 d 1 4 − d 2 4
C. 32 π × τ × d 1 d 1 4 − d 2 4
D. 64 π × τ × d 1 d 1 4 − d 2 4
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