Explore topic-wise MCQs in Engineering Foundation.

This section includes 179 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Foundation knowledge and support exam preparation. Choose a topic below to get started.

51.

A ditch conduits can be installed in a __________

A. Shallow bedding
B. Shallow ditch
C. Narrow ditch
D. All of the mentioned
Answer» D. All of the mentioned
52.

For a saturated clay of 20KN/m³ and cᵤ=24 kN/m², find the height of tension cracks.

A. 2.4 m
B. 6.9 m
C. 3.5 m
D. 1.7 m
Answer» B. 6.9 m
53.

For a cohesive backfill with surcharge q, when at depth z₀, pₐ=0, then the depth z₀ is ___________

A. \(z_0=\frac{q-2c cot⁡α}{γ} \)
B. \(z_0=\frac{2c tan⁡α}{γ}-\frac{q}{γ} \)
C. \(z_0=\frac{2 cot⁡α}{γ}+\frac{q}{γ} \)
D. \(z_0=\frac{cot⁡α}{γ}-\frac{q}{γ} \)
Answer» C. \(z_0=\frac{2 cot⁡α}{γ}+\frac{q}{γ} \)
54.

The resultant active pressure per unit length of wall for dry backfill with no surcharge acting at _________ above the base of wall.

A. H/2
B. H
C. H/6
D. H/3
Answer» E.
55.

The coefficient of active earth pressure is_______ than the coefficient of passive pressure.

A. less than
B. greater than
C. equal to
D. insufficient data
Answer» B. greater than
56.

The coefficient of earth pressure at rest is given by _________

A. \(K_0=\frac{μ}{1-μ}\)
B. \(K_0=\frac{μ}{1+μ}\)
C. \(K_0=\frac{2μ}{1-μ}\)
D. \(K_0=\frac{1}{1-μ}\)
Answer» B. \(K_0=\frac{μ}{1+μ}\)
57.

For a submerged backfill, the active earth pressure is given by _________

A. pₐ=Kₐγ’z
B. pₐ=Kₐγ’z-γwz
C. pₐ=Kₐγ’z+γwz
D. pₐ=Kₐγ’z*γwz
Answer» D. pₐ=Kₐγ’z*γwz
58.

The total net pressure for a cohesive soil is given by ________

A. pₐ=\(\frac{1}{2}\) Kₐ γH² cot² α-2c cot⁡α
B. pₐ=γH²-2c cot⁡α
C. pₐ=Kₐ γH²-2c cot⁡α
D. pₐ=Kₐ H²-2c cot⁡α
Answer» B. pₐ=γH²-2c cot⁡α
59.

Earth pressure for retaining walls, of less than 6m are obtained by _______________

A. Analytical method
B. Graphical method
C. Considering approximate value
D. All of the mentioned
Answer» C. Considering approximate value
60.

The ratio between coefficients of passive and active earth pressure is __________

A. cot² \((45°+\frac{φ}{2})\)
B. cos² \((45°+\frac{φ}{2})\)
C. tan⁴ \((45°+\frac{φ}{2})\)
D. sin² \((45°+\frac{φ}{2})\)
Answer» D. sin² \((45°+\frac{φ}{2})\)
61.

The recommended value of settlement ratio for embankment, to use in design is __________

A. +0.5
B. +1.0
C. – 0.3
D. – 0.4
Answer» C. – 0.3
62.

The depth at which the tension is zero for cohesive soils with retaining wall in terms Kₐ is _____

A. \(z_0=\frac{2cK_a}{γ} \)
B. \(z_0=\frac{2c}{γ} \frac{1}{√K_a } \)
C. \(z_0=\frac{2cK_a}{γ} \)
D. \(z_0=\frac{2c}{γ}(\frac{1}{K_a}) \)
Answer» C. \(z_0=\frac{2cK_a}{γ} \)
63.

The load on a negative conduit is given by the equation __________

A. Wc = Cn γ Bd
B. Wc = Cn γ Bd2
C. Wc = γ Bd
D. Wc = Cn Bd2
Answer» C. Wc = γ Bd
64.

The relation between Kₚ and Kₐ is _____________

A. Kₚ=Kₐ
B. Kₚ=1+Kₐ
C. Kₚ=1-Kₐ
D. Kₚ=1/Kₐ
Answer» E.
65.

The stress component which acts on any point in the surrounding material before the excavation of the shaft can be resolved into __________ parts.

A. 3
B. 5
C. 2
D. 4
Answer» B. 5
66.

The stress component at any point, after the excavation of the shaft, will be equal to ____________

A. σR = (σZ)1-(σZ)2
B. σZ = (σZ)1-(σZ)2
C. σϴ = (σϴ)1-(σϴ)2
D. σR = (σR)1-(σR)2
Answer» C. σϴ = (σϴ)1-(σϴ)2
67.

If the cohesive backfill carries a surcharge of q per unit area, then the lateral pressure is increased by _________

A. Kₐ q
B. q
C. Kₐ
D. Kₐ/q
Answer» B. q
68.

At the ground surface, there will be no passive pressure in the case of cohesive backfill.

A. True
B. False
C. May be True or False
D. Can't say
Answer» C. May be True or False
69.

What will be the coefficient of earth pressure at rest for a rigid retaining wall, If the backfill consists of cohesion less soil having φ = 26°?

A. 0.1295
B. 0.6552
C. 0.5616
D. 0.7383
Answer» D. 0.7383
70.

For an angle of internal friction of 30°, find the flow value Nφ

A. 4
B. 10
C. 3
D. 0
Answer» D. 0
71.

Compute the active pressure intensity when the backfill has unit weight of 18 KN/m³ and height of wall is 6 m. The angle of internal friction is 30°.

A. 45 KN/m²
B. 36 KN/m³
C. 87 KN/m²
D. 27 KN/m²
Answer» C. 87 KN/m²
72.

Which of the following conduit is installed in shallow bedding?

A. Ditch conduits
B. Positive projecting conduits
C. Special conduits
D. Negative projecting conduits
Answer» C. Special conduits
73.

For backfill with sloping surface, the coefficient of active earth pressure is given by ______

A. \(K_a=\frac{\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
B. \(K_a=\frac{cosβ+\sqrt{cos^2 β-cos^2 φ}}{cosβ-\sqrt{cos^2 β-cos^2 φ}} \)
C. \(K_a=\frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
D. \(K_a=cosβ\frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
Answer» E.
74.

The critical height for an unsupported vertical cut in cohesive soil is given by _____________

A. \(H_c=\frac{q-2c cot⁡α}{γ} \)
B. \(H_c=\frac{4c tan⁡α}{γ} \)
C. \(H_c=\frac{4 cot⁡α}{γ} \)
D. \(H_c=\frac{cot⁡α}{γ} \)
Answer» C. \(H_c=\frac{4 cot⁡α}{γ} \)
75.

When the surcharge angle β is reduced to zero, then the coefficient of passive earth pressure is ______

A. 1
B. \(\frac{1-sinφ}{1+sinφ} \)
C. \(\frac{1+sinφ}{1-sinφ} \)
D. 0
Answer» D. 0
76.

Which of the following effect of line load can be taken into account by Culmann’s graphical method?

A. Railway track and Long wall of a building
B. Road alignment
C. None of the mentioned
D. All of the mentioned
Answer» B. Road alignment
77.

Which of the following is a basic assumption of the wedge theory?

A. The slip surface is plane
B. The backfill is dry
C. The backfill is homogeneous
D. All of the mentioned
Answer» E.
78.

For a surcharge angle β, the passive earth pressure is __________

A. \(p_p=γz \frac{\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
B. \(p_p=γz \frac{cosβ+\sqrt{cos^2 β-cos^2 φ}}{cosβ-\sqrt{cos^2 β-cos^2 φ}}\)
C. \(p_p=γz \frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}}\)
D. \(p_p=γzcosβ \frac{cosβ+\sqrt{cos^2 β-cos^2 φ}}{cosβ-\sqrt{cos^2 β-cos^2 φ}}\)
Answer» E.
79.

If the plane of settlement does not fall within the embankment, then such a condition is called _________

A. Complete ditch condition and Complete project condition
B. Incomplete ditch condition
C. None of the mentioned
D. All of the mentioned
Answer» B. Incomplete ditch condition
80.

If a backfill has unit weight of 12 KN/m³ and the equivalent height of surcharge as 3m, then find the surcharge.

A. 12 KN/m²
B. 25 KN/m²
C. 36 KN/m²
D. 75 KN/m²
Answer» D. 75 KN/m²
81.

When the height of retaining wall is 6m, then the distance of point of application of the resultant pressure from the base is ________

A. 10m
B. 2m
C. 3m
D. 7m
Answer» C. 3m
82.

The coefficient earth pressure at rest is _______________

A. less than coefficient of active pressure
B. greater than coefficient of active pressure
C. equal to coefficient of active pressure
D. one
Answer» C. equal to coefficient of active pressure
83.

In case of cohesive backfill, the total passive pressure is _________

A. pₚ=\(\frac{1}{2}\) Kₚ γH²+2cH tanα
B. pₚ=γH²+2c tanα
C. pₚ=Kₚ γH²-2c tanα
D. pₚ=Kₚ H²-2c tanα
Answer» B. pₚ=γH²+2c tanα
84.

For a cohesion less soil, the total passive pressure Pₚ at a depth H is ___________

A. pₚ=\(\frac{1}{2}\) Kₚ γH²
B. pₚ=γH²
C. pₚ=Kₚ γH²
D. pₚ=Kₚ H²
Answer» B. pₚ=γH²
85.

When the top tension portion of the wall in cohesive soil is neglected, the total lateral thrust is given by __________

A. pₐ=\(\frac{1}{2}\)Kₐ γH² cot² α-2c cot⁡α
B. pₐ=\(\frac{1}{2}\)Kₐ γH² cot² α-2c cot⁡α+\(\frac{2c^2}{γ}\)
C. pₐ=\(\frac{1}{2}\)Kₐ γH² cot² α-2c cot⁡α-\(\frac{2c^2}{γ}\)
D. pₐ=Kₐ H²-2c cot⁡α
Answer» C. pₐ=\(\frac{1}{2}\)Kₐ γH² cot² α-2c cot⁡α-\(\frac{2c^2}{γ}\)
86.

Terzaghi’s experiment show that the value of K (empirical constant) varies from about ________ above the Centre of strip.

A. Unity
B. Zero
C. Less than unity
D. None of the mentioned
Answer» B. Zero
87.

Both the projection condition and the ditch conditions of a positive projecting conduit may be __________

A. Complete
B. Incomplete
C. All of the mentioned
D. None of the mentioned
Answer» D. None of the mentioned
88.

The lateral strain in the horizontal direction is _______

A. \(∈_h=\frac{1}{E} [σ_h-μ(σ_v)] \)
B. \(∈_h=\frac{1}{E} [σ_h-μ(σ_h-σ_v)]\)
C. \(∈_h=\frac{1}{E} [σ_h-μ(σ_h+σ_v)]\)
D. \(∈_h=\frac{1}{E} [σ_h-(σ_h-σ_v)]\)
Answer» C. \(∈_h=\frac{1}{E} [σ_h-μ(σ_h+σ_v)]\)
89.

The water table is at the ground level and backfill has saturated unit weight as 22KN/m³. The height of wall is 6m and Kₐ=1/3. Find the pressure intensity, if free water stands on other face of wall.

A. 45.82 KN/m²
B. 78.28 KN/m²
C. 24.38 KN/m²
D. 56.27 KN/m²
Answer» D. 56.27 KN/m²
90.

The wedge theory of earth pressure is based on the concept of _________

A. Active earth pressure
B. Sliding wedge
C. Wall friction
D. All of the mentioned
Answer» C. Wall friction
91.

For cohesion-less soil, the angle of internal friction is 45°, find the K₀.

A. 0.429
B. 0.784
C. 0.293
D. 0.334
Answer» D. 0.334
92.

The Belli equation at the ground surface is given by _________

A. pₐ=γzcot² α-2c cot⁡α
B. pₐ=γzcot² α+2c cot⁡α
C. pₐ=-2c cot⁡α
D. pₐ=γzcot² α/2c cot⁡α
Answer» D. pₐ=γzcot² α/2c cot⁡α
93.

After excavating the shaft, the shearing stresses along the walls of the shaft will be equal to ___________

A. Zero
B. Normal stress
C. Circumferential stress
D. All of the mentioned
Answer» B. Normal stress
94.

If the angle of internal friction decreases, then Kₐ ___________

A. decreases
B. increases
C. equal to zero
D. does not change
Answer» C. equal to zero
95.

The Belli equation of lateral pressure of cohesive soil is ____________

A. pₐ=γzcot² α-2c cot⁡α
B. pₐ=γzcot² α+2c cot⁡α
C. pₐ=-2c cot⁡α
D. pₐ=γzcot² α/2c cot⁡α
Answer» B. pₐ=γzcot² α+2c cot⁡α
96.

In active state, the minor principal stress σ₃ is _________

A. horizontal direction
B. vertical direction
C. can be both vertical and horizontal direction
D. in no direction
Answer» B. vertical direction
97.

During the passive state of plastic equilibrium, the retaining wall moves _______

A. towards the fill
B. away from the fill
C. does not change its position
D. remains in equilibrium
Answer» B. away from the fill
98.

In active state of plastic equilibrium, the earth pressure on the wall ________

A. increases
B. decreases
C. is zero
D. is constant
Answer» C. is zero
99.

In passive state of plastic equilibrium, the earth pressure on the wall ________

A. increases
B. decreases
C. is zero
D. is constant
Answer» B. decreases
100.

The coefficient of earth pressure for active state of plastic equilibrium is given by ___________

A. \(K_a=\frac{1}{tan^2 (45°+\frac{φ}{2})} \)
B. \(K_a=tan^2 (45°+\frac{φ}{2}) \)
C. \(K_a=sin^2 (45°+\frac{φ}{2}) \)
D. \(K_a=\frac{1}{cot^2 (45°+\frac{φ}{2})} \)
Answer» B. \(K_a=tan^2 (45°+\frac{φ}{2}) \)