# Practice Test: Question Set - 21

**1. Maximum deflection of a cantilever due to pure bending moment**

*M*at its free end, is- (A)

*ML*

^{2}/3

*EI*

- (B)

*ML*

^{2}/4

*EI*

- (C)

*ML*

^{2}/6

*EI*

- (D)

*ML*

^{2}/2

*EI*

**2. The maximum deflection of a simply supported beam of length**

*L*with a central load*W*, is- (A)

*WL*

^{2}/48

*EI*

- (B)

*W*

^{2}

*L*/24

*EI*

- (C)

*WL*

^{3}/48

*EI*

- (D)

*WL*

^{2}/8

*EI*

**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**

*E*,*C*,*K*and*m*are Young's modulus, shearing modulus, bulk modulus and Poisson ratio, the following relation does not hold good- (A)

*E*= 9

*KC*/3

*K*+

*C*

- (B)

*E*= 2

*K*(1 + 2/

*m*)

- (C)

*E*= 2

*C*(1 + 1/

*m*)

- (D)

*E*= 3

*C*(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 × 10^{6}, 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

*WL*

^{2}

**10. The maximum compressive stress at the top of a beam is 1600 kg/cm**

^{2}and the corresponding tensile stress at its bottom is 400 kg/cm^{2}. 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€*

^{2}

*EI*/

*l*

^{2}

- (B)

*P*=

*Ï€l*

^{2}/

*EI*

- (C)

*P*=

*Ï€EI*/

*l*

^{2}

- (D)

*P*=

*Ï€*

^{2}

*EI*/

*l*

^{3}**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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