Strength of Material Sheet 15

1) Question.

A prismatic bar is carrying only an axial force. The two planes on which normal and shearing stresses are equal are inclined to the axial forces at angles
Answer.
- 1
  
  $0 a n d \frac{π}{2}$
- 2
  
  $\frac{π}{4} a n d \frac{3 π}{4}$
- 3
  
  $\frac{π}{6} a n d \frac{2 π}{3}$
- 4
  
  $\frac{π}{3} a n d \frac{5 π}{6}$
Answer: 2

Explanation:
2) Question.

The state of pure shear stress is produced by
Answer.
- 1
  
  tension in one direction and equal compression in perpendicular direction
- 2
  
  equal tension in two directions at right angles
- 3
  
  equal compression in two directions at right angles
- 4
  
  none of the above
Answer: 1

Explanation:
3) Question.

Shear stress on principal planes is
Answer.
- 1
  
  zero
- 2
  
  maximum
- 3
  
  minimum
- 4
  
  none of the above
Answer: 1

Explanation:
4) Question.

The radius of Mohr's circle for two equal unlike principal stresses of magnitude P is
Answer.
- 1
  
  P
- 2
  
  P/2
- 3
  
  zero
- 4
  
  none of the above
Answer: 1

Explanation:
5) Question.

The sum of normal stresses is
Answer.
- 1
  
  constant
- 2
  
  variable
- 3
  
  dependent on the planes
- 4
  
  none of the above
Answer: 1

Explanation:
6) 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
  
  $P / A a n d 45 °$
- 2
  
  $P / 2 A a n d 45 °$
- 3
  
  $P / 2 A a n d 60 °$
- 4
  
  $P / A a n d 30 °$
Answer: 2

Explanation:
7) Question.

A point in a strained body is subjected to a tensile stress of 100 MPa 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 stresses 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:
8) Question.

The plane of maximum obliquity is inclined to the major principal plane at an angle
Answer.
- 1
  
  $\frac{π}{2} + \frac{\emptyset m a x}{4}$
- 2
  
  (pai / 4 ) + ( angel of maximum obliquity / 2)
- 3
  
  $\frac{π}{4} - \frac{\emptyset m a x}{2}$
- 4
  
  $\frac{π}{4} + \emptyset m a x$
Answer: 2

Explanation:
where $\emptyset$ max is the angle of maximum obliquity
9) Question.

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

Explanation:
10) Question.

At a point in a strained body carrying two unequal unlike principal stresses $p_{1}$ and $p_{2}$ ( $p_{1}$ $>$ $p_{2}$ ), 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:
11) Question.

When a member is subjected to axial tensile load, the greatest normal stress is equal 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:
12) 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:
13) Question.

According to Unwin's formula, if t is thickness of the plate in cm, the nominal diameter of the rivet, is
Answer.
- 1
  
  6 t
- 2
  
  6 root t
- 3
  
  1.91 root t
- 4
  
  1.91 t
Answer: 3

Explanation:
14) Question.

If b is the width of the plate and d is the diameter of rivet, then the efficiency of a riveted joint having diamond riveting is given by
Answer.
- 1
  
  $\frac{b - d}{b}$
- 2
  
  $\frac{b - d}{d}$
- 3
  
  $\frac{b - 2 d}{b}$
- 4
  
  $\frac{b - 2 d}{d}$
Answer: 1

Explanation:
15) Question.

Weakest section in a fillet weld is
Answer.
- 1
  
  Throat of the fillet
- 2
  
  smaller side
- 3
  
  side parallel to force
- 4
  
  side perpendicular to force
Answer: 1

Explanation:
16) Question.

Size of a right angled fillet weld is given by
Answer.
- 1
  
  0.707 x throat thickness
- 2
  
  0.414 x throat thickness
- 3
  
  2.0 x throat thickness
- 4
  
  throat thickness
Answer: 2

Explanation:
17) Question.

Limiting values of poisson's ratio are
Answer.
- 1
  
  – 1 and 0.5
- 2
  
  – 1 and – 0.5
- 3
  
  1 and – 0.5
- 4
  
  0 and 0.5
Answer: 1

Explanation:
18) Question.

The relationship between young's modulus of elasticity E, bulk modulus K and poisson's ratio μ is given by
Answer.
- 1
  
  E = 2 K ( 1 – 2 μ )
- 2
  
  E = 3 K ( 1 + μ )
- 3
  
  E = 3 K ( 1 – 2 μ )
- 4
  
  E = 2 K ( 1 + μ )
Answer: 3

Explanation:
19) Question.

If all the dimensions of a prismatic bar are doubled, then the maximum stress produced in it under its own weight will
Answer.
- 1
  
  decrease
- 2
  
  remain unchanged
- 3
  
  increase to two times
- 4
  
  increase to four times
Answer: 3

Explanation:
20) Question.

Limit of proportionality depends upon
Answer.
- 1
  
  area of cross-section
- 2
  
  type of loading
- 3
  
  type of material
- 4
  
  all of the above
Answer: 3

Explanation:

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