Strength of Materials - Set 01 - ObjectiveBooks

# Practice Test: Question Set - 01

1. A cube subjected to three mutually perpendicular stress of equal intensity p expenses a volumetric strain
(A) 3p/ E × (2/m - 1)
(B) 3p/ E × (2 - m)
(C) 3p/ E × (1 - 2/m)
(D) E/ 3p × (2/m - 1)

2. The strain energy stored in a solid circular shaft subjected to shear stress (τ), is:
(Where, G = Modulus of rigidity for the shaft material)
(A) τ²/ 2G × Volume of shaft
(B) τ/ 2G  × Volume of shaft
(C) τ²/ 4G × Volume of shaft
(D) τ/ 4G × Volume of shaft

3. The strain energy stored in a solid circular shaft in torsion, subjected to shear stress (τ), is:
(Where, G = Modulus of rigidity for the shaft material)
(A) τ²/ 2G × Volume of shaft
(B) τ/ 2G  × Volume of shaft
(C) τ²/ 4G × Volume of shaft
(D) τ/ 4G × Volume of shaft

4. 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

5. A material obeys hook’s law up to
(A) Plastic limit
(B) Elastic limit
(C) Yield point
(D) Limit of proportionality

6. The torque transmitted by a solid shaft of diameter (D) is (where τ = Maximum allowable shear stress)
(A) π /4  × τ ×
(B) π /16  × τ ×
(C) π /32  × τ ×
(D) π /64  × τ ×

7. The torque transmitted by a hollow shaft of outer diameter (d₁) and inner diameter (d2) is (where, τ = Maximum allowable shear stress)
(A) π /4  × τ × (d₁⁴ - d⁴₂)/ d₁
(B) π /16  × τ × (d₁⁴ - d⁴₂)/ d₁
(C) π /32  × τ × (d₁⁴ - d⁴₂)/ d₁
(D) π /64  × τ × (d₁⁴ - d⁴₂)/ d₁

8. If Th is the torque resisting capacity of a hollow shaft and Ts is that of a solid shaft, of the same material, length and weight. Then,
(A) Th > Ts
(B) Th < Ts
(C) Th = Ts
(D) None of these

9. If Kh is the torque resisting capacity of a hollow shaft and Ks is that of a solid shaft, of the same material, length and weight. Then,
(A) Kh > Ks
(B) Kh < Ks
(C) Kh = Ks
(D) None of these

10. After reaching the yielding stage while testing a mild steel specimen, strain
(A) Becomes constant
(B) Starts decreasing
(C) Increases without any increase in load
(D) None of the above

11. Principal planes are planes having
(A) Maximum shear stress
(B) No shear stress
(C) Minimum shear stress
(D) None of the above

12. If the slenderness ratio for a column is 100, then it is said to be a _________ column.
(A) Long
(B) Medium
(C) Short
(D) None of these

13. A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be
(A) 400 MPa
(B) 500 MPa
(C) 900 MPa
(D) 1400 MPa

14. Young’s modulus of a wire is defined as the stress which will increase the length of wire compared to its original length by
(A) Half
(B) Same amount
(C) Double
(D) One-fourth

15. True stress strain-curve for materials is plotted between
(A) Load/original cross-sectional area and change in length/original length
(B) Load/ instantaneous cross-sectional area and loge (original area/ instantaneous area)
(C) Load/ instantaneous cross-sectional area and change in length/ original length
(D) Load/ instantaneous area and instantaneous area/original area

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