RCC Sheet 41

1) Question.

If W is weight of a retaining wall and P is the horizontal earth pressure, the factor of safety against sliding
Answer.
- 1
  
  1.0
- 2
  
  1.25
- 3
  
  1.5
- 4
  
  2.0
Answer: 3

Explanation:
2) Question.

To have pressure wholly compressive under the base of a retaining wall of width b, the resultant of the weight of the wall and the pressure exerted by the retained, earth should have eceentricity not more than
Answer.
- 1
  
  b/3
- 2
  
  b/4
- 3
  
  b/5
- 4
  
  b/6
Answer: 4

Explanation:
3) Question.

If A is the area of the foundation of a retaining wall carrying a load W and retaining earth of weight w per unit volume, the minimum depth (h) of the foundation from the free surface of the earth, is
Answer.
- 1
  
  $h = \frac{W}{A w} [\frac{1 - \sin ϕ}{1 + \sin ϕ}]$
- 2
  
  $h = \frac{W}{A w} [\frac{1 - \sin ϕ}{1 + \sin ϕ}]$
- 3
  
  $h = \frac{W}{A w} {[\frac{1 - \sin ϕ}{1 + \sin ϕ}]}^{2}$
- 4
  
  $h = \sqrt{\frac{W}{A w}} {[\frac{1 - \sin ϕ}{1 + \sin ϕ}]}^{2}$
Answer: 3

Explanation:
4) Question.

The tal pressure on the vertical face of a retaining wall subjected to the loading given in previous quesation, acts
Answer.
- 1
  
  $\frac{h}{2} a b o v e b a s e$
- 2
  
  $\frac{h}{3} a b o v e b a s e$
- 3
  
  $\frac{p_{1} + 2 p_{2}}{p_{1} + p_{2}} . \frac{h}{2} a b o v e b a s e$
- 4
  
  $\frac{p_{1} + 2 p_{2}}{p_{1} + p_{2}} . \frac{h}{3} a b o v e b a s e$
Answer: 4

Explanation:
5) Question.

If $p_{1}$ and $p_{2}$ ae effective lateral loadings at the bottom and top exerted by a level earth subjected to a superload on the vertical face of height h of a retaining wall, the horizontal pressure p and unit length of the wall, is
Answer.
- 1
  
  $\frac{p_{1} - p_{2}}{2} h$
- 2
  
  $\frac{p_{1} + p_{2}}{2} h$
- 3
  
  $\frac{p_{1} + p_{2}}{2} h$
- 4
  
  $(p_{1} - p_{2}) \frac{2}{3} h$
Answer: 3

Explanation:
6) Question.

Total pressure on the vertical face of a retaining wall of height h acts parallel to free surface and from the base at a distance of
Answer.
- 1
  
  h/4
- 2
  
  h/3
- 3
  
  h/2
- 4
  
  2h/3
Answer: 2

Explanation:
7) Question.

The total pressure on the vertical face of a retaining wall of height h exerted by the retained earth weighing w per unit volume having an angle of surcharge $α^{o}$ , is
Answer.
- 1
  
  $w h \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α + \sqrt{\cos^{2} α - \cos^{2} ϕ}}$
- 2
  
  $w h^{2} \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α + \sqrt{\cos^{2} α - \cos^{2} ϕ}}$
- 3
  
  $\frac{w h^{2}}{2} \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α + \sqrt{\cos^{2} α + \cos^{2} ϕ}}$
- 4
  
  $\frac{w h^{2}}{3} \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α + \sqrt{\cos^{2} α - \cos^{2} ϕ}}$
Answer: 3

Explanation:
8) Question.

Total pressure on the vertical face of a retaining wall of height h per unit run exerted by the retained earth weighing $ω$ per unit volume, is
Answer.
- 1
  
  $ω h \frac{(1 - \sin ϕ)}{(1 + \sin ϕ)}$
- 2
  
  $ω h^{2} \frac{(1 - \sin ϕ)}{(1 + \sin ϕ)}$
- 3
  
  $\frac{ω h^{2} (1 - \sin ϕ)}{2 (1 + \sin ϕ)}$
- 4
  
  $\frac{ω h^{2} (1 - \sin ϕ)}{3 (1 + \sin ϕ)}$
Answer: 3

Explanation:
9) Question.

If $p_{1}$ is the vertical intensity of pressure at a depth h on a block of earth weighing $ω$ per unit volume and the angle of repose $ϕ$ , the lateral intensity of pressure $p_{2}$ is
Answer.
- 1
  
  $\frac{ω h (1 - \cos ϕ)}{(1 + \sin ϕ)}$
- 2
  
  $\frac{ω h (1 - \sin ϕ)}{(1 + \sin ϕ)}$
- 3
  
  $\frac{ω h (1 - \tan ϕ)}{(1 + \tan ϕ)}$
- 4
  
  $\frac{ω (1 - \sin ϕ)}{h (1 + \sin ϕ)}$
Answer: 2

Explanation:
10) Question.

If $p_{1}$ and $p_{2}$ are mutually perpendicular principal stresses acting on a soil mass, the normal stress on any plane inclined at angle $θ^{o}$ to the principal plane carrying the principal stress $p_{1}$ , is:
Answer.
- 1
  
  $\frac{p_{1} - p_{2}}{2} + \frac{p_{1} + p_{2}}{2} \sin 20$
- 2
  
  $\frac{p_{1} - p_{2}}{2} + \frac{p_{1} + p_{2}}{2} \cos 20$
- 3
  
  $\frac{p_{1} + p_{2}}{2} + \frac{p_{1} - p_{2}}{2} \cos 20$
- 4
  
  $\frac{p_{1} + p_{2}}{2} + \frac{p_{1} - p_{2}}{2} \sin 20$
Answer: 3

Explanation:
11) Question.

The angle of internal friction of soil mass is the angle whose
Answer.
- 1
  
  tangent is equal to the rate of the maximum resistance to sliding on any internal inclined plane to the normal pressure acting on the plane
- 2
  
  since is equal to the ratio of the maximum resistance to sliding on any internal inclined plane to the normal pressure acting on the plane
- 3
  
  cosine isequal to the ratio of the maximum resistance sliding on any internal inclined plane to the normal pressure acting on the plane
- 4
  
  none of these
Answer: 1

Explanation:
12) Question.

If H is the overall height of a retaining wall retaining a surcharge, the width of a base slab usually provided, is
Answer.
- 1
  
  0.3 H
- 2
  
  0.4 H
- 3
  
  0.5 H
- 4
  
  0.7 H
Answer: 4

Explanation:
13) Question.

Cantilever retaining walls can safely be used for a height not more than
Answer.
- 1
  
  3 m
- 2
  
  4 m
- 3
  
  5 m
- 4
  
  6 m
Answer: 4

Explanation:
14) Question.

If W is weight of a retaining wall and P is the horizontal earth pressure, the factor of safety against sliding, is
Answer.
- 1
  
  1.0
- 2
  
  1.25
- 3
  
  1.5
- 4
  
  2.0
Answer: 3

Explanation:
15) Question.

To have pressure wholly compressive under the base of a retaining wall of width b, the resultant of the weight of the wall and the pressure exerted by the retained, earth should have eccentricity not more than
Answer.
- 1
  
  b/3
- 2
  
  b/4
- 3
  
  b/5
- 4
  
  b/6
Answer: 4

Explanation:
16) Question.

If A is the area of the foundation of a retaining wall carrying a load W and retaining hearth of weight $ω$ per unit volume, the minimum depth (h) of the foundation from the free surface of the earth, is
Answer.
- 1
  
  $h = \frac{W}{A ω} [\frac{1 - \sin ϕ}{1 + \sin ϕ}]$
- 2
  
  $h = \frac{W}{A ω} [\frac{1 - \sin ϕ}{1 + \sin ϕ}]$
- 3
  
  $h = \frac{W}{A ω} {[\frac{1 - \sin ϕ}{1 + \sin ϕ}]}^{2}$
- 4
  
  $h = \sqrt{\frac{W}{A ω}} {[\frac{1 - \sin ϕ}{1 + \sin ϕ}]}^{2}$
Answer: 3

Explanation:
17) Question.

The total pressure on the vertical face of a retaining wall subjected to the loading given in previous question, acts
Answer.
- 1
  
  $\frac{h}{2} a b o v e b a s e$
- 2
  
  $\frac{h}{3} a b o v e b a s e$
- 3
  
  $\frac{p_{1} + 2 p_{2}}{p_{1} + p_{2}} . \frac{h}{2} a b o v e b a s e$
- 4
  
  $\frac{p_{1} + 2 p_{2}}{p_{1} + p_{2}} . \frac{h}{3} a b o v e b a s e$
Answer: 4

Explanation:
18) Question.

If $p_{1}$ and $p_{2}$ are effective lateral loadings at the bottom and top exerted by a level earth subjected to a superload on the vertical face of height h of a retaining wall, the horizontal pressure p per unit length of the wall, is
Answer.
- 1
  
  $\frac{p_{1} - p_{2}}{2} h$
- 2
  
  $\frac{p_{1} + p_{2}}{2} h$
- 3
  
  $\frac{p_{1} + p_{2}}{2} h$
- 4
  
  $(p_{1} - p_{2}) \frac{2}{3} h$
Answer: 3

Explanation:
19) Question.

Total pressure on the vertical face of a retaining wall of height h acts parallel to free surface and from the base at a distance of
Answer.
- 1
  
  h/4
- 2
  
  h/3
- 3
  
  h/2
- 4
  
  2h/3
Answer: 2

Explanation:
20) Question.

The total pressure on the vertical face of a retaining wall of height h exerted by the retained earth weighing $ω$ per unit volume having an angle of surcharge $α^{o}$ , is:
Answer.
- 1
  
  $ω h \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α + \sqrt{\cos^{2} α - \cos^{2} ϕ}}$
- 2
  
  $ω h^{2} \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α + \sqrt{\cos^{2} α - \cos^{2} ϕ}}$
- 3
  
  $\frac{ω h^{2}}{2} \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α + \sqrt{\cos^{2} α - \cos^{2} ϕ}}$
- 4
  
  $\frac{ω h^{2}}{3} \cos α \frac{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}{\cos α - \sqrt{\cos^{2} α - \cos^{2} ϕ}}$
Answer: 3

Explanation:

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