Strength of Materials Practice Exam - Set 26

Practice Test: Question Set - 26

1. The relation between modulus of elasticity (E) and modulus of rigidity (C) is given by
    (A) C = m.E/2 (m + 1)
    (B) C = 2(m + 1)/m.E
    (C) C = 2m.E/(m + 1)
    (D) C = (m + 1)/2m.E

2. The Rankine's constant for a mild steel column with both ends hinged is
    (A) 1/750
    (B) 1/1600
    (C) 1/7500
    (D) 1/9000

3. In a watch, the spring is used to store strain energy. This energy is released
    (A) To stop the watch
    (B) To run the watch
    (C) To change the time
    (D) All of these

4. When a column is subjected to an eccentric load, the stress induced in the column will be
    (A) Direct stress only
    (B) Bending stress only
    (C) Shear stress only
    (D) Direct and bending stress both

5. Two shafts 'A' and 'B' are made of same material. The shaft 'A' is solid and has diameter D. The shaft 'B' is hollow with outer diameter D and inner diameter D/2. The strength of hollow shaft in torsion is _________ as that of solid shaft.
    (A) 1/16
    (B) 1/8
    (C) 1/4
    (D) 15/16

6. A thick cylindrical shell having r₀ 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) [p (r₀² + ri²)] / (r₀² - ri²)
    (B) [p (r₀² - ri²)] / (r₀² + ri²)
    (C) 2pri²/ (r₀² - ri²)
    (D) (r₀² - ri²) / 2pri²

7. A beam of uniform strength has
    (A) Same cross-section throughout the beam
    (B) Same bending stress at every section
    (C) Same bending moment at every section
    (D) Same shear stress at every section

8. When a circular bar tapering uniformly from diameter d₁, at one end to diameter d₂ at the other end, is subjected to an increase in temperature (t), then the thermal stress induced is (where α = Coefficient of linear expansion, and E = Modulus of elasticity for the bar material)
    (A) α.t.E.d₁/d₂
    (B) α.t.d₁/E.d₂
    (C) α.t.d₂/d₁.E
    (D) d₁.t/ α.E.d₂

9. A shaft of diameter D is subjected to a twisting moment (T) and a bending moment (M). If the maximum bending stress is equal to maximum shear stress developed, then M is equal to
    (A) T/2
    (B) T
    (C) 2T
    (D) 4T

10. The maximum deflection of a fixed beam of length ‘l’ carrying a total load ‘W’ uniformly distributed over the whole length is
    (A) Wl3/48EI
    (B) Wl3/96EI
    (C) Wl3/192EI
    (D) Wl3/384EI

11. 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

12. A pressure vessel is said to be a thin shell when the ratio of wall thickness of the vessel to its diameter is __________ 1/10.
    (A) Equal to
    (B) Less than
    (C) Greater than
    (D) None of these

13. The unit of stress in S.I. units is
    (A) N/mm²
    (B) kN/mm²
    (C) N/m²
    (D) Any one of these

14. . A rod is enclosed centrally in a tube and the assembly is tightened by rigid washers. If the assembly is subjected to a compressive load, then
    (A) Rod is under compression
    (B) Tube is under compression
    (C) Both rod and tube are under compression
    (D) Tube is under tension and rod is under compression

15. The load required to produce a unit deflection in a spring is called
    (A) Flexural rigidity
    (B) Torsional rigidity
    (C) Spring stiffness
    (D) Young's modulus

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