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.

1.

The coefficient of earth pressure at rest is represented as _________ expression given by Jaky.

A. K₀=1-sinφ
B. K₀=sinφ
C. K₀=1-cosφ
D. K₀=cosφ
Answer» B. K₀=sinφ
2.

If free water stands on both side of a retaining wall, the lateral earth pressure is given by ____

A. pₐ=Kₐ γ’ z
B. pₐ=Kₐ γ’ z-γw z
C. pₐ=Kₐ γ’ z+γw z
D. pₐ=Kₐ γ’ z*γw z
Answer» B. pₐ=Kₐ γ’ z-γw z
3.

For an angle of internal friction of 300, the values of coefficients of active and passive earth pressures are given by a _____ and ____ respectively.

A. \(\frac{1}{3}\), 3
B. \(\frac{1}{5}\), 5
C. 3, \(\frac{1}{3}\)
D. 5, \(\frac{1}{5}\)
Answer» B. \(\frac{1}{5}\), 5
4.

The Rankine’s lateral pressure ratio is given by ________

A. \(K=\frac{\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
B. \(K=\frac{cosβ+\sqrt{cos^2 β-cos^2 φ}}{cosβ-\sqrt{cos^2 β-cos^2 φ}} \)
C. \(K=\frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
D. \(K=cosβ\frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
Answer» D. \(K=cosβ\frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \)
5.

Positive projecting conduits are of ___________ types.

A. 2
B. 5
C. 3
D. 4
Answer» E.
6.

Which of the following is not one of the criteria, for design of gravity dam?

A. The wall must be safe against sliding
B. The wall must be safe against overturning
C. The wall must be thinner in section
D. No tension should be developed in the wall
Answer» D. No tension should be developed in the wall
7.

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=\(\frac{1}{3}.\) Find the pressure intensity.

A. 45.22 KN/m²
B. 18.45 KN/m²
C. 83.24 KN/m²
D. 67.83 KN/m²
Answer» D. 67.83 KN/m²
8.

Which of the following values of K0 is used to compute the stress in the vicinity of a cylindrical tunnel?

A. K0 = 1
B. K0 = μ / 1-μ
C. K0 = 0
D. All of the mentioned
Answer» E.
9.

If a tension crack is developed at the top of wall to a depth Z₀ in cohesive soils, then the total net pressure is zero for a depth of _________

A. 2Z₀
B. 3Z₀
C. 4Z₀
D. 5Z₀
Answer» B. 3Z₀
10.

The total earth pressure P₀ at rest per unit length for vertical height H is _______

A. \(P_0=\frac{1}{2}K_0γH^2\)
B. P₀=γH²
C. P₀=K₀ γH²
D. \(P_0=\frac{1}{2}K_0H^2\)
Answer» B. P₀=γH²
11.

The tension at the top level of retaining wall reduces to zero at a depth ___________

A. \(z_0=\frac{q-2c cot⁡α}{γ} \)
B. \(z_0=\frac{2c tan⁡α}{γ} \)
C. \(z_0=\frac{2 cot⁡α}{γ} \)
D. \(z_0=\frac{cot⁡α}{γ} \)
Answer» C. \(z_0=\frac{2 cot⁡α}{γ} \)
12.

What will be the co-efficient of passive earth pressure, at a depth of 8m in cohesion less soil sand with an angle of internal friction of 30° when the water rises to the ground level?

A. 4
B. 5
C. 3
D. 1
Answer» D. 1
13.

For a saturated clay cᵤ=18KN/m², find the height of tension cracks is 7m. Find the saturated unit weight.

A. 43 KN/m³
B. 98 KN/m³
C. 18 KN/m³
D. 86 KN/m³
Answer» D. 86 KN/m³
14.

For the different value of φ, the backfill is partly submerged to height H₂ and the backfill is moist to a depth H₁. Find the lateral pressure intensity at the base of wall for φ₁>φ₂.

A. pₐ=Kₐ₂ γH₁-Kₐ₂ γ’ H₂+γw H₂
B. pₐ=Kₐ₂ γH₁+Kₐ₂ γ’ H₂+γw H₂
C. pₐ=Kₐ₂ γH₁+γw H₂
D. pₐ=Kₐ₂ γH₁+Kₐ₂ γ’ H₂
Answer» C. pₐ=Kₐ₂ γH₁+γw H₂
15.

The force acting on a wedge of soil are ____________

A. Frictional force
B. Weight of the wedge and Active thrust
C. None of the mentioned
D. All of the mentioned
Answer» C. None of the mentioned
16.

For an inclined back and surcharge, if P₁, is horizontal pressure and W is weight of soil wedge, then the total pressure is given by __________

A. P=P₁+W
B. \(P=\sqrt{P_1^2+W^2}\)
C. P=(P₁+W)2
D. P=P₁-W
Answer» C. P=(P₁+W)2
17.

Underground conduits are commonly used for, which of the following purpose?

A. Sewers
B. Gas lines
C. Culverts
D. All of the mentioned
Answer» E.
18.

Ditch conduits are more commonly used in ___________

A. Sewers
B. High way
C. Railway culverts
D. All of the mentioned
Answer» B. High way
19.

The vertical and the lateral pressures have the same angle of obliquity β.

A. True
B. False
C. May be True or False
D. Can't say
Answer» B. False
20.

For earth pressure at rest, there will be no ______

A. vertical stress
B. shear stress
C. horizontal stress
D. both vertical and horizontal stress
Answer» C. horizontal stress
21.

For finding out the active earth pressure for a backfill with sloping surface, the Rankine’s theory makes as additional assumption of ________

A. vertical and lateral stresses are normal to surcharge
B. vertical and lateral stresses are tangential to surcharge
C. vertical and lateral stresses are conjugate
D. vertical and lateral stresses are negligible
Answer» D. vertical and lateral stresses are negligible
22.

The forces acting on the trial wedge which is used for finding Rankine’s active earth pressure is __________

A. Weight W of the wedge
B. Resultant force
C. Resultant reaction between wedge and sol
D. All of the mentioned
Answer» E.
23.

The expression for K₀ as given by Jacky is ___________

A. K₀ = 1 – sin φ
B. K₀ = sin φ
C. K₀ = 1 – cos φ
D. K₀ = 1 + sin φ
Answer» B. K₀ = sin φ
24.

The settlement ratio for a negative projecting conduit is __________

A. Always positive
B. Always negative
C. Negative in some cases
D. None of the mentioned
Answer» C. Negative in some cases
25.

If γ is the unit weight of soil, then the lateral earth pressure at depth z of soil mass is ______

A. \(σ_h=\frac{3}{2} K_0 z\)
B. σₕ=γz
C. σₕ=-K₀ γz
D. σₕ=K₀ γz
Answer» E.
26.

If the sand filled behind the retaining wall with saturated water with water, then the possible lateral pressure is __________

A. Lateral pressure due to submerged weight and Lateral pressure due to water
B. Lateral pressure due to retaining wall
C. None of the mentioned
D. All of the mentioned
Answer» B. Lateral pressure due to retaining wall
27.

The pressure distribution diagram for earth pressure at rest is _______

A. circular
B. triangular
C. rectangular
D. square
Answer» C. rectangular
28.

Culmann’s solution is based on ___________ theory.

A. Coulomb’s
B. Rebhann’s
C. Mohr
D. Rankine’s
Answer» B. Rebhann’s
29.

Underground conduits can be classified into ___________ types.

A. 2
B. 4
C. 3
D. 5
Answer» D. 5
30.

If the critical plane settles more than the top of the conduit, the settlement ratio is __________

A. Zero
B. Negative
C. Positive
D. Unity
Answer» D. Unity
31.

The method given by Biot for solving the problem of stress distribution was based on ________

A. Theory of elasticity
B. Method of superposition
C. Westerngaard method
D. All of the mentioned
Answer» C. Westerngaard method
32.

The resultant active pressure per unit length of wall for dry backfill with no surcharge is _______

A. \(P_a=\frac{1}{2}K_aγH^2\)
B. Pₐ=γH²
C. Pₐ=Kₐ γH²
D. Pₐ=Kₐ H²
Answer» B. Pₐ=γH²
33.

The passive earth pressure intensity in terms of coefficient of passive earth pressure is _________

A. pₚ=Kₚ γH
B. pₚ=γH
C. pₚ=Kₚ H
D. pₚ=Kₚ γ
Answer» B. pₚ=γH
34.

For a cohesion less soil with surcharge Q, the passive pressure intensity is ___________

A. pₚ=Kₚ γz+Kₚ q
B. pₚ=Kₚ γz-Kₚ q
C. pₚ=Kₚ γz*Kₚ q
D. pₚ=Kₚ γz/Kₚ q
Answer» B. pₚ=Kₚ γz-Kₚ q
35.

The earth pressure at rest exerted on a retaining structure can be calculated using __________

A. Theory of plasticity
B. Theory of elasticity
C. Mohr’s theory of rupture
D. None of the mentioned
Answer» C. Mohr’s theory of rupture
36.

In Coulomb’s wedge theory, the angle λ is referred as ___________

A. Angle of wall friction
B. Surcharge angle
C. Critical slip angle
D. None of the mentioned
Answer» D. None of the mentioned
37.

A backfill of a retaining wall consists of γ=19 kN/m³ which is 6 m high. Find the lateral earth pressure per meter length. Given coefficient of earth pressure at rest is 0.5.

A. 43 kN/m²
B. 57 kN/m²
C. 48 kN/m²
D. 76 kN/m²
Answer» C. 48 kN/m²
38.

The effect of cohesion in the soil is to __________

A. reduce pressure intensity
B. increase pressure intensity by 3
C. double the pressure intensity
D. increase pressure intensity by 4
Answer» B. increase pressure intensity by 3
39.

A backfill of a retaining wall consists of γ=19 kN/m³ which is 6 m high. Find the total earth pressure per meter length. Given coefficient of earth pressure at rest is 0.5.

A. 165 kN/m
B. 178 kN/m
C. 171 kN/m
D. 345 kN/m
Answer» D. 345 kN/m
40.

The Rankine’s active earth pressure can also be found out by method of _____________

A. Trial wedges
B. Graphical method
C. Sliding wedge
D. Theoretical calculation
Answer» B. Graphical method
41.

Compute the passive pressure intensity when the backfill has unit weight of Kₐ=\(\frac{1}{3}\) and height of wall is 6 m. The coefficient of active earth pressure Kₐ=\(\frac{1}{3}.\)

A. 176 KN/m³
B. 154 KN/m³
C. 324 KN/m³
D. 476 KN/m³
Answer» D. 476 KN/m³
42.

In case of passive state of plastic state of equilibrium, the lateral pressure is the _________

A. minor principal stress
B. major principal stress
C. major principal plane
D. minor principal plane
Answer» C. major principal plane
43.

When the surcharge angle reduces to zero, the coefficient of active earth pressure is given by

A. Kₐ=1
B. \(K_a=\frac{1-sinφ}{1+sinφ}\)
C. \(K_a=\frac{1+sinφ}{1-sinφ}\)
D. Kₐ=0
Answer» C. \(K_a=\frac{1+sinφ}{1-sinφ}\)
44.

Based on the assumptions of Rankine’s theory, the soil mass is __________

A. Stratified
B. Submerged
C. Homogeneous
D. All of the mentioned
Answer» D. All of the mentioned
45.

The lateral pressure for cohesive backfill with surcharge q is ___________

A. pₐ=γzcot² α-2c cot⁡α+qcot² α
B. pₐ=γzcot² α+2c cot⁡α+cot²α
C. pₐ=-2c cot⁡α-cot² α
D. pₐ=γzcot² α/2c cot⁡α
Answer» B. pₐ=γzcot² α+2c cot⁡α+cot²α
46.

Critical plane in conduit is located at ___________

A. Tangential to the top of the conduit
B. Tangential to the bottom of the conduit
C. Centre of the conduit
D. All of the mentioned
Answer» B. Tangential to the bottom of the conduit
47.

When the high value of σϴ in the vicinity of the walls of a shaft exceeds the compressive strength it results in __________

A. Plastic flow of soil
B. Non uniform stress distribution
C. Increase fluid pressure
D. All of the mentioned
Answer» B. Non uniform stress distribution
48.

For the design of gravity dam, the minimum value of F(factor of safety) against sliding should be __________

A. 2.0
B. 1.5
C. 0.5
D. 4.0
Answer» C. 0.5
49.

Find the critical height of an unsupported vertical cut in cohesive soil of C= 10KN/m² and γ=20KN/m².

A. 5m
B. 2m
C. 8m
D. 9m
Answer» C. 8m
50.

For a dry backfill with no surcharge, the active earth pressure intensity is _________

A. pₐ=Kₐ γH
B. pₐ=γH
C. pₐ=Kₐ H
D. pₐ=Kₐ γ
Answer» B. pₐ=γH