Strain is defined as the ratio of
A. Change in volume to original volume
B. Change in length to original length
C. Change in cross-sectional area to original cross-sectional area
D. Any one of the above
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Factor of safety is defined as the ratio of
A. Ultimate stress to working stress
B. Working stress to ultimate stress
C. Breaking stress to ultimate stress
D. Ultimate stress to breaking stress
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A fletched beam is used to
A. Change the shape of the beam
B. Effect the saving in material
C. Equalize the strength in tension and compression
D. Increase the cross-section of the beam
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A rectangular beam of length l supported at its two ends carries a central point load W. The maximum deflection occurs
A. At the ends
B. At 3 l from both ends
C. At the center
D. None of these
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The ductility of a material __________ with the increase in percentage reduction in area of a specimen under tensile test.
A. Increases
B. Decreases
C. Remains same
D. None of these
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The ductility of the material __________ with the decrease in percentage elongation of a specimen under tensile test.
A. Increases
B. Decreases
C. Remain same
D. None of these
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The total elongation produced in a bar of uniform section hanging vertically downwards due to its own weight is equal to that produced by a weight
A. Of same magnitude as that of bar and applied at the lower end
B. Half the weight of bar applied at lower end
C. Half of the square of weight of bar applied at lower end
D. One fourth of weight of bar applied at lower end
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If the modulus of elasticity for a given material is twice its modulus of rigidity, then bulk modulus is equal to
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A steel bar of 5 mm is heated from 25°C to 45°C and it is free to expand. The bar will induce
A. No stress
B. Shear stress
C. Tensile stress
D. Compressive stress
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For a beam, as shown in the below figure, the deflection at C is (where E = Young's modulus for the beam material and
I = Moment of inertia of the beam section.)
A. 48 E I W l 3
B. 3 E I l W a 2 b 2
C. D. 384 E I 5 W l 3
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The assumption, generally, made in the theory of simple bending is that
A. The beam material is perfectly homogeneous and isotropic
B. The beam material is stressed within its elastic limit
C. The plane sections before bending remain plane after bending
D. All of the above
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The thermal stress in a bar is __________ proportional to the change in temperature.
A. Directly
B. Indirectly
C. Both A and B
D. None of these
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The maximum shear stress, in the given figure, is equal to __________ of the Mohr's circle.
A. Radius
B. Diameter
C. Circumference
D. Area
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Percentage reduction in area performing tensile test on cast iron may be of the order of
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The percentage reduction in area of a cast iron specimen during tensile test would be of the order of
A. More than 50%
B. 25 - 50%
C. 10 - 25%
D. Negligible
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Percentage reduction of area in performing tensile test on cast iron may be of the order of
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A thick cylindrical shell having ro and ri as outer and inner radii, is subjected to an internal pressure (p). The maximum tangential stress at the inner surface of the shell is
A. 2 pr i 2 r o 2 − r i 2
B. r o 2 − r i 2 2 pr i 2
C. r o 2 − r i 2 p ( r o 2 + r i 2 )
D. r o 2 + r i 2 p ( r o 2 − r i 2 )
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In a thick cylindrical shell subjected to an internal pressure (p), the maximum radial stress at the inner surface of the shell is
A. Zero
B. p (tensile)
C. -p (compressive)
D. 2p (tensile)
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A thick cylindrical shell having ro and ri as outer and inner radii, is subjected to an internal pressure (p). The maximum tangential stress at the inner surface of the shell is
A. r o 2 − r i 2 p ( r o 2 + r i 2 )
B. r o 2 + r i 2 p ( r o 2 − r i 2 )
C. r o 2 − r i 2 2 pr i 2
D. 2 pr i 2 r o 2 − r i 2
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A column of length (l ) with both ends fixed may be considered as equivalent to a column of length __________ with one end fixed and the other end free.
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