Strength of Material Sheet 19

1) 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:
2) Question.

The core of a rectangular section with sides b and d is a
Answer.
- 1
  
  square with side $\frac{\sqrt{b^{2} + d^{2}}}{6}$
- 2
  
  rhombus with side $\frac{\sqrt{b^{2} + d^{2}}}{6}$
- 3
  
  rectangle with sides $b / 3$ and $d / 3$
- 4
  
  parallelogram with sides $\frac{b}{6 \sqrt{2}}$ and $\frac{d}{6 \sqrt{2}}$
Answer: 2

Explanation:
3) 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:
4) Question.

The radius of gyration of a circle of radius R is equal to
Answer.
- 1
  
  R/4
- 2
  
  R/2
- 3
  
  R/√2
- 4
  
  R
Answer: 2

Explanation:
5) Question.

If a shaft of diameter d is subjected to a torque T and a bending moment M, the maximum shear stress is
Answer.
- 1
  
  $\frac{16 \sqrt{M^{2} - T^{2}}}{{πd}^{3}}$
- 2
  
  $\frac{16 \sqrt{M^{2} + T^{2}}}{{πd}^{3}}$
- 3
  
  $\frac{16}{{πd}^{3}} (M - \sqrt{M^{2} + T^{2}})$
- 4
  
  $\frac{16}{{πd}^{3}} (M + \sqrt{M^{2} - T^{2}})$
Answer: 2

Explanation:
6) Question.

If a circular shaft is subjected to a torque T and bending moment M, the ratio of maximum bending stress and maximum shear stress is
Answer.
- 1
  
  $\frac{2 M}{T}$
- 2
  
  $\frac{M}{2 T}$
- 3
  
  $\frac{M}{T}$
- 4
  
  $\frac{2 T}{M}$
Answer: 1

Explanation:
7) Question.

If the internal radius of a hollow shaft is n times the external radius, then ratio of torques carried by the hollow shaft and solid shaft of same cross-sectional area and subjected to the same maximum shearing stress is
Answer.
- 1
  
  $1 - n^{4}$
- 2
  
  $\frac{1 + n^{2}}{1 - n^{2}}$
- 3
  
  $\frac{\sqrt{1 + n^{2}}}{1 - n^{2}}$
- 4
  
  $\frac{1 + n^{2}}{\sqrt{1 - n^{2}}}$
Answer: 4

Explanation:
8) Question.

The ratio of strain energy stored by a hollow shaft of external diameter D and internal diameter d and strain energy stored by a solid shaft of diameter D is
Answer.
- 1
  
  $\frac{D^{2} + d^{2}}{D^{2}}$
- 2
  
  $\frac{D^{2} - d^{2}}{D^{2}}$
- 3
  
  $\frac{D^{4} - d^{4}}{D^{4}}$
- 4
  
  $\frac{D^{4} + d^{4}}{D^{4}}$
Answer: 1

Explanation:
9) Question.

A solid circular shaft of 6m length is built in at its ends and subjected to an externally applied torque 60 kN-m at a distance of 2m from left end. The reactive torques at the left end and the right end are respectively
Answer.
- 1
  
  20 kN.m and 40 kN.m
- 2
  
  40 kN.m and 20 kN.m
- 3
  
  15 kN.m and 45 kN.m
- 4
  
  30 kN.m and 30 kN.m
Answer: 2

Explanation:
10) Question.

In a rectangular shaft subjected to torsion, the maximum shear stress occurs at
Answer.
- 1
  
  centre
- 2
  
  corners
- 3
  
  middle of smaller side
- 4
  
  middle of longer side
Answer: 4

Explanation:
11) Question.

If a shaft of diameter d is subjected to a torque, T, the maximum shear stress is
Answer.
- 1
  
  $\frac{32 T}{{πd}^{3}}$
- 2
  
  $\frac{16 T}{{πd}^{2}}$
- 3
  
  $\frac{16 T}{{πd}^{3}}$
- 4
  
  $\frac{64 T}{{πd}^{4}}$
Answer: 3

Explanation:
12) Question.

The ratio of maximum shear stress developed in a solid shaft of diameter D and a hollow shaft of external diameter D and internal diameter d for the same torque is given by
Answer.
- 1
  
  $\frac{D^{2} + d^{2}}{D^{2}}$
- 2
  
  $\frac{D^{2} - d^{2}}{D^{2}}$
- 3
  
  $\frac{D^{4} - d^{4}}{D^{4}}$
- 4
  
  $\frac{D^{4} - d^{4}}{d^{4}}$
Answer: 3

Explanation:
13) Question.

The stiffness of a helical spring is expressed as
Answer.
- 1
  
  load per unit length
- 2
  
  load per unit diameter
- 3
  
  deflection per unit load
Answer: 2

Explanation:
14) Question.

A hollow shaft will transmit ------- power than a solid shaft of same weight and material
Answer.
- 1
  
  less
- 2
  
  same
- 3
  
  more
- 4
  
  none of the above
Answer: 3

Explanation:
15) Question.

Force in the member AD of the pin-jointed frame shown in Fig. 10.6 is
Answer.
- 1
  
  zero
- 2
  
  P/ √2
- 3
  
  P
- 4
  
  P √2
Answer: 1

Explanation:
16) Question.

Method of joints is applicable only when the number of unknown forces at the joint under consideration is not more than
Answer.
- 1
  
  one
- 2
  
  two
- 3
  
  three
- 4
  
  four
Answer: 2

Explanation:
17) Question.

The basic perfect frame is a
Answer.
- 1
  
  triangle
- 2
  
  rectangle
- 3
  
  square
- 4
  
  hexagon
Answer: 1

Explanation:
18) Question.

In the pin-jointed plane frame shown in Fig. 10.5, the force in the member BD is
Answer.
- 1
  
  5 kN
- 2
  
  5√2 kN
- 3
  
  10 kN
- 4
  
  zero
Answer: 4

Explanation:
19) Question.

For a determinate pin-jointed plane frame, the relation between the number of joints j and members m is given by
Answer.
- 1
  
  m=2j-3
- 2
  
  m=3j-6
- 3
  
  m $>$ 2j-3
- 4
  
  m $>$ 3j-6
Answer: 1

Explanation:
20) Question.

A three hinged arch is carrying uniformly distributed load over the entire span. The arch is free from shear force and bending moment if its shape is
Answer.
- 1
  
  circular
- 2
  
  parabolic
- 3
  
  elliptical
- 4
  
  none of the above
Answer: 2

Explanation:

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