Strength of Materials Civil Engineering Questions and Answers - ObjectiveBooks

# Practice Test: Question Set - 21

1. Maximum deflection of a cantilever due to pure bending moment M at its free end, is
(A) ML2/3EI
(B) ML2/4EI
(C) ML2/6EI
(D) ML2/2EI

2. The maximum deflection of a simply supported beam of length L with a central load W, is
(A) WL2/48EI
(B) W2L/24EI
(C) WL3/48EI
(D) WL2/8EI

3. The equivalent length of a column fixed at one end and free at the other end, is
(A) 0.5 l
(B) 0.7 l
(C) 2 l
(D) 1.5 l

4. For a given material, if ECK and m are Young's modulus, shearing modulus, bulk modulus and Poisson ratio, the following relation does not hold good
(A) E = 9KC/3K + C
(B) E = 2K (1 + 2/m)
(C) E = 2C (1 + 1/m)
(D) E = 3C (1 - 1/m)

5. A short masonry pillar is 60 cm × 60 cm in cross-section, the core of the pillar is a square whose side is
(A) 17.32 cm
(B) 14.14 cm
(C) 20.00 cm
(D) 22.36 cm

6. The ratio of the maximum deflection of a cantilever beam with an isolated load at its free end and with a uniformly distributed load over its entire length, is
(A) 1
(B) 24/15
(C) 3/8
(D) 8/3

7. The slenderness ratio of a vertical column of square cross- section of 10 cm side and 500 cm long, is
(A) 117.2
(B) 17.3
(C) 173.2
(D) 137.2

8. A steel rod of 2 cm diameter and 5 metres long is subjected to an axial pull of 3000 kg. If E = 2.1 × 106, the elongation of the rod will be
(A) 2.275 mm
(B) 0.2275 mm
(C) 0.02275 mm
(D) 2.02275 mm

9. For a cantilever with a uniformly distributed load W over its entire length L, the maximum bending moment is
(A) WL
(B) ½ WL
(C) ⅓ WL
(D) ½ WL2

10. The maximum compressive stress at the top of a beam is 1600 kg/cm2 and the corresponding tensile stress at its bottom is 400 kg/cm2. If the depth of the beam is 10 cm, the neutral axis from the top, is
(A) 2 cm
(B) 4 cm
(C) 6 cm
(D) 8 cm

11. At either end of a plane frame, maximum number of possible transverse shear forces, are
(A) One
(B) Two
(C) Three
(D) Four

12. If the beam is supported so that there are only three unknown reactive elements at the supports. These can be determined by using the following fundamental equation of statics
(A) ∑H = 0
(B) ∑V = 0
(C) ∑H = 0; ∑H = 0
(D) ∑H = 0; ∑V = 0; ∑M = 0

13. Euler's formula states that the buckling load ‘P’ for a column of length ‘l’, both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are ‘I’ and ‘E’ respectively, is given by the relation
(A) P = Ï€2EI/l2
(B) P = Ï€l2/EI
(C) P = Ï€EI/l2
(D) P = Ï€2EI/l3

14. The phenomenon of slow growth of strain under a steady tensile stress, is called
(A) Yielding
(B) Creeping
(C) Breaking
(D) None of these

15. If the stress in each cross-section of a pillar is equal to its working stress, it is called
(A) Body of equal
(B) Body of equal section
(C) Body of equal strength
(D) None of these

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