Strength of Materials Sheet 3

1) Question.

If a prismatic member with area of cross-section A is subjected to a tensile load P, then the maximum shear stress and its inclination with the direction of load respectively are
Answer.
- 1
  
  $P / A a n d 45^{o}$
- 2
  
  $P / 2 A a n d 45^{o}$
- 3
  
  $P / 2 A a n d 60^{o}$
- 4
  
  $P / A a n d 30^{o}$
Answer: 2

Explanation:
2) Question.

A point in a strained body is subjected to a tensile stress of 100 MPs on one plane and a tensile stress of 50 MPa on a plane at right angle to it. If these planes are carrying shear stresses of 50 MPa, then the principal streses are inclined to the larger normal stress at an angle
Answer.
- 1
  
  $\tan^{- 1} (2)$
- 2
  
  $\frac{1}{2} \tan^{- 1} (2)$
- 3
  
  $\frac{1}{2} \tan^{- 1} (\frac{2}{3})$
- 4
  
  $\frac{1}{2} \tan^{- 1} (\frac{1}{3})$
Answer: 2

Explanation:
3) Question.

The plane of maximum obliquity is inclined to the major principal plane at an angle

where $\emptyset_{m a x}$ is the angle of maximum obliquity.
Answer.
- 1
  
  $\frac{π}{2} + \frac{ϕ m a x}{4}$
- 2
  
  $\frac{π}{4} + \frac{ϕ m a x}{2}$
- 3
  
  $\frac{π}{4} - \frac{ϕ m a x}{2}$
- 4
  
  $\frac{π}{4} + ϕ m a x$
Answer: 2

Explanation:
4) Question.

If the principal stresses at a point in a strained body are $p_{1} a n d p_{2} (p_{1} > p_{2})$ , then the resultant stress on a plane carrying the maximum shear stress is equal to
Answer.
- 1
  
  $\sqrt{p_{1}^{2} + p_{2}^{2}}$
- 2
  
  $\sqrt{\frac{p_{1}^{2} + p_{2}^{2}}{2}}$
- 3
  
  $\sqrt{\frac{p_{1}^{2} - p_{2}^{2}}{2}}$
- 4
  
  $\frac{\sqrt{p_{1}^{2} + p_{2}^{2}}}{2}$
Answer: 2

Explanation:
5) Question.

If a point in a strained material is subjected to euql normal and tangential stresses, then the angle of obliquity is
Answer.
- 1
  
  $0^{o}$
- 2
  
  $45^{o}$
- 3
  
  $\tan^{- 1} (1 / 2)$
- 4
  
  $\tan^{- 1} (2)$
Answer: 2

Explanation:
6) Question.

At a point in a strained body carrying two unqual unlime principal stress $p_{1} a n d p_{2} (p_{1} > p_{2})$ , the maximum shear stress is given by
Answer.
- 1
  
  $p_{1} / 2$
- 2
  
  $p_{2} / 2$
- 3
  
  $(p_{1} - p_{2}) / 2$
- 4
  
  $(p_{1} + p_{2}) / 2$
Answer: 4

Explanation:
7) Question.

When a member is subjected to axial tensile load, the greatest normal stress is euqal to
Answer.
- 1
  
  half the maximum shear stress
- 2
  
  maximum shear stress
- 3
  
  twice the maximum shear stress
- 4
  
  none of the above
Answer: 3

Explanation:
8) Question.

If the rivet value is 16.8 kN and force in the member is 16.3 kN, then the number of rivets required for the connection of the member to a gusset plate is
Answer.
- 1
  
  1
- 2
  
  2
- 3
  
  3
- 4
  
  4
Answer: 2

Explanation:
9) Question.

A flat carrying a pull of 690 kN is connected to a gusset plate using rivets. If the pulls required to shear the rivet, to crush the rivet and to tear the plate per pitch length are 68.5 kN, 46 kN and 69 kN respectively, then the number of rivets required is
Answer.
- 1
  
  10
- 2
  
  12
- 3
  
  15
- 4
  
  20
Answer: 3

Explanation:
10) Question.

According to Unwin's formula, the diameter of rivet in mm to suit the t mm thickness of plate is given by
Answer.
- 1
  
  6 t
- 2
  
  $6 \sqrt{t}$
- 3
  
  $1.9 \sqrt{t}$
- 4
  
  1.5 t + 4
Answer: 2

Explanation:

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