In the below figure, Hook's law holds good, for the portion from_________.
A. O to A
B. B to D
C. D to E
D. None of these
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In a simple bending theory, one of the assumptions is that the material of the beam is isotropic. This assumption means that the
A. Normal stress remains constant in all directions
B. Normal stress varies linearly in the material
C. Elastic constants are same in all the directions
D. Elastic constants varies linearly in the material
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A boiler shell 200 cm diameter and plate thickness 1.5 cm is subjected to internal pressure of 1.5 MN/m2 , then the hoop stress will be
A. 30 MN/m2
B. 50 MN/m2
C. 100 MN/m2
D. 200 MN/m2
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A bar of copper and steel form a composite system, which is heated to a temperature of 40°C. The stress induced in the copper bar will be
A. Tensile
B. Compressive
C. Shear
D. Zero
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The relation between equivalent length (L) and actual length (l ) of a column for both ends fixed is
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The section modulus of a circular section about an axis through its C.G., is
A. 4 π d 2
B. 16 π d 2
C. 16 π d 3
D. 32 π d 3
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The section modulus of a rectangular section about an axis through its C.G., is
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The unit of Young's modulus is
A. mm/mm
B. kg/cm
C. Kg
D. kg/cm2
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A shaft revolving at ω rad/s transmits torque (T) in Nm. The power developed is
A. T ω watts
B. 2 π T ω watts
C. 75 2 π T ω watts
D. 4500 2 π T ω watts
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In order to avoid sliding of masonry dam, the force of friction between the dam and soil should be at least __________ the total water pressure per meter length.
A. Equal to
B. 1.5 times
C. Double
D. 2.5 times
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The given figure shows the Mohr's circle of stress for two unequal and like principal stresses (σ
x and σ
y ) acting at a body across two mutually perpendicular planes. The normal stress on an oblique section making an angle θ with the minor principle plane is given by
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The stress induced in a body, when suddenly loaded, is _________ the stress induced when the same load is applied gradually.
A. Equal to
B. One-half
C. Twice
D. Four times
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The strain energy stored in a body, when suddenly loaded, is __________ the strain energy stored when same load is applied gradually.
A. Equal to
B. One-half
C. Twice
D. Four times
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In the above question, the ratio of stiffness of spring 'B' to spring 'A' will be
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Two closely-coiled helical springs 'A' and 'B' of the same material, same number of turns and made from same wire are subjected to an axial load W. The mean diameter of spring 'A' is double the mean diameter of spring 'B'. The ratio of deflections in spring 'B' to spring 'A' will be
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When a closely-coiled helical spring of mean diameter (D) is subjected to an axial load (W), the stiffness of the spring is given by
A. D 3 n C d 4
B. 2 D 3 n C d 4
C. 4 D 3 n C d 4
D. 8 D 3 n C d 4
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The polar moment of inertia of a hollow shaft of outer diameter (D) and inner diameter (d) is
A. 16 π ( D 3 − d 3 )
B. 16 π ( D 4 − d 4 )
C. 32 π ( D 4 − d 4 )
D. 64 π ( D 4 − d 4 )
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The torque transmitted by a hollow shaft of outer diameter (D) and inner diameter (d) is
A. 4 π × τ ( D D 2 − d 2 )
B. 16 π × τ ( D D 3 − d 3 )
C. 16 π × τ ( D D 4 − d 4 )
D. 32 π × τ ( D D 4 − d 4 )
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The polar modulus for a hollow shaft of outer diameter (D) and inner diameter (d) is
A. 4 π ( D D 2 − d 2 )
B. 16 π ( D D 3 − d 3 )
C. 16 π ( D D 4 − d 4 )
D. 32 π ( D D 4 − d 4 )
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A steel bar 2 m long, 20 mm wide and 10 mm thick is subjected to a pull of 2 kN. If the same bar is subjected to a push of 2 kN, the Poisson’s ratio of the bar in tension will be __________ the Poisson's ratio for the bar in compression.
A. Equal to
B. Less than
C. Greater than
D. None of these
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