Strength of Materials Sheet 11

1) Question.

If the length of a simply supported beam carrying a concentrated load at the centre is doubled, the defection at the centre will become
Answer.
- 1
  
  two times
- 2
  
  four times
- 3
  
  eight times
- 4
  
  sixteen times
Answer: 3

Explanation:
2) Question.

A cantilever beam carries a uniformly distributed load from fixed end to the centre of the beam in the first case and a uniformly distributed load of same intensity from centre of the beam to the free en d in t he second case. The ratio of deflections in the two cases is
Answer.
- 1
  
  1/2
- 2
  
  3/11
- 3
  
  5/24
- 4
  
  7/41
Answer: 4

Explanation:
3) Question.

A simply supported bean of circular cross-section with diameter d and length l carries a concentrated load W at the centre of the beam. The strength of the beam is proportional to
Answer.
- 1
  
  $\frac{d^{2}}{l}$
- 2
  
  $\frac{d^{3}}{l}$
- 3
  
  $\frac{l}{d^{2}}$
- 4
  
  $\frac{l}{d^{3}}$
Answer: 2

Explanation:
4) Question.

If the deflection at the free end of a uniformly loaded cantilever beam of length l m is equal to 7.5 mm, then the slo p e at the free end is
Answer.
- 1
  
  0.01 ratian
- 2
  
  0.015 radian
- 3
  
  0.02 ratian
- 4
  
  none of the above
Answer: 3

Explanation:
5) Question.

Strain energy stored in a member is given by
Answer.
- 1
  
  0.5 x stress x volume
- 2
  
  0.5 x strain x volume
- 3
  
  0.5 x stress x strain x volume
- 4
  
  0.5 x stress x strain
Answer: 3

Explanation:
6) Question.

Proof resilience is the maximum energy stored at
Answer.
- 1
  
  lomit of proportionality
- 2
  
  elastic limit
- 3
  
  plastic limit
- 4
  
  none of the above
Answer: 2

Explanation:
7) Question.

The ratio of intensity of stress in case of a suddenly applied load to that in case of a gradually applied load is
Answer.
- 1
  
  1/2
- 2
  
  1
- 3
  
  2
- 4
  
  more than 2
Answer: 3

Explanation:
8) Question.

The core of a rectangular section with sides b and d is a
Answer.
- 1
  
  $s q u a r e w i t h s i d e \frac{\sqrt{b^{2} + d^{2}}}{6}$
- 2
  
  $r h o m b u s w i t h s i d e \frac{\sqrt{b^{2} + d^{2}}}{6}$
- 3
  
  rectangle with sides b/3 and d/3
- 4
  
  $p a r a l l e \log r a m w i t h s i d e s \frac{b}{6 \sqrt{2}} a n d \frac{d}{6 \sqrt{2}}$
Answer: 2

Explanation:
9) Question.

A short column of external diameter of 250 mm and internal diameter of 150 mm carries an eccentric load of 1000 kN. The greatest eccentricity which the load can have without producing tension anywhere is
Answer.
- 1
  
  20 mm
- 2
  
  31.25 mm
- 3
  
  37.5 mm
- 4
  
  42.5 mm
Answer: 4

Explanation:
10) Question.

A short column of external diameter of 250 mm and internal diameter of 150 mm carries an eccentric load of 1000 kN. The greatest eccentricity which the load can have without producing tension anywhere
Answer.
- 1
  
  20 mm
- 2
  
  31.25 mm
- 3
  
  37.5 mm
- 4
  
  42.5 mm
Answer: 4

Explanation:

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