MCQOPTIONS
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MCQOPTIONS
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.
| 101. |
The coefficient of earth pressure for passive state of plastic equilibrium is given by ________ |
| A. | \(K_p=\frac{1}{tan^2 (45°+\frac{φ}{2})} \) |
| B. | \(K_p=tan^2 (45°+\frac{φ}{2})\) |
| C. | \(K_p=sin^2 (45°+\frac{φ}{2})\) |
| D. | \(K_p=\frac{1}{cot^2 (45°+\frac{φ}{2})} \) |
| Answer» C. \(K_p=sin^2 (45°+\frac{φ}{2})\) | |
| 102. |
The coefficient of earth pressure for active state of plastic equilibrium in terms of sine function is _______ |
| A. | \(K_a=1-sinφ\) |
| B. | \(K_a=\frac{1-sinφ}{1+sinφ} \) |
| C. | \(K_a=\frac{1+sinφ}{1-sinφ} \) |
| D. | Kₐ=1+sinφ |
| Answer» C. \(K_a=\frac{1+sinφ}{1-sinφ} \) | |
| 103. |
For cohesion-less soil, the ratio of major to minor principal stress is __________ |
| A. | \(\frac{σ_1}{σ_3} = cos^2 (45°+\frac{φ}{2})\) |
| B. | \(\frac{σ_1}{σ_3} = sin^2 (45°+\frac{φ}{2})\) |
| C. | \(\frac{σ_1}{σ_3} = tan^2 (45°+\frac{φ}{2})\) |
| D. | \(\frac{σ_1}{σ_3} = tan^2 (45°-\frac{φ}{2})\) |
| Answer» D. \(\frac{σ_1}{σ_3} = tan^2 (45°-\frac{φ}{2})\) | |
| 104. |
The coefficient of earth pressure for passive state of plastic equilibrium in terms of sine function is _______ |
| A. | \(K_a=1-sinφ\) |
| B. | \(K_a=\frac{1-sinφ}{1+sinφ} \) |
| C. | \(K_a=\frac{1+sinφ}{1-sinφ} \) |
| D. | Kₐ=1+sinφ |
| Answer» D. Kₐ=1+sinφ | |
| 105. |
The stress condition during plastic equilibrium in terms of tangent of angle is _______ |
| A. | \(σ_1=tan(45°+\frac{φ}{2})+σ_3 tan^2 (45°+\frac{φ}{2}) \) |
| B. | \(σ_1=2c+σ_3 tan^2 (45°+\frac{φ}{2})\) |
| C. | \(σ_1=2c \,tan(45°+\frac{φ}{2})+σ_3\) |
| D. | \(σ_1=2c \,tan(45°+\frac{φ}{2})+σ_3 tan^2 (45°+\frac{φ}{2})\) |
| Answer» E. | |
| 106. |
The flow value is given by ______ |
| A. | \(N_φ=cot^2 (45°+\frac{φ}{2})\) |
| B. | \(N_φ=cos^2 (45°+\frac{φ}{2})\) |
| C. | \(N_φ=tan^2 (45°+\frac{φ}{2})\) |
| D. | \(N_φ=sin^2 (45°+\frac{φ}{2})\) |
| Answer» D. \(N_φ=sin^2 (45°+\frac{φ}{2})\) | |
| 107. |
The solution of Kolter’s equation gives ____________ |
| A. | permeability of soil |
| B. | orientation of slip lines |
| C. | specific gravity of grains |
| D. | seepage pressure |
| Answer» C. specific gravity of grains | |
| 108. |
Combing the three equations, \(\sqrt{((\frac{σ_z-σ_x}{2})^2+τ_{xz}^2))} -\frac{σ_z+σ_x}{2} sinφ=c cosφ\), \(\frac{∂σ_x}{∂x}+\frac{∂τ_{xz}}{∂z}=0\), and \(\frac{∂τ_{xz}}{∂x}+\frac{∂σ_x}{∂z}+γ=0\), lead to the equation called ___________ |
| A. | Kolter’s equation |
| B. | Terzaghi’s equation |
| C. | Darcy’s equation |
| D. | Skempton’s equation |
| Answer» B. Terzaghi’s equation | |
| 109. |
The wedge-shaped portion of the backfill tending to move with the wall is called _______ |
| A. | Wedge fall |
| B. | Active fall |
| C. | Failure wedge |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 110. |
The stress condition during plastic equilibrium can be represented by _____________ |
| A. | \(\frac{σ_1-σ_3}{2}\frac{σ_1+σ_3}{2} sinφ=cosφ \) |
| B. | \(\frac{σ_1-σ_3}{2}+\frac{σ_1+σ_3}{2} sinφ=c cosφ\) |
| C. | \(\frac{σ_1*σ_3}{2}-\frac{σ_1+σ_3}{2} sinφ=c cosφ\) |
| D. | \(\frac{σ_1-σ_3}{2}-\frac{σ_1+σ_3}{2} sinφ=c cosφ\) |
| Answer» E. | |
| 111. |
The position of the backfill lying above the horizontal plane at the top of wall is called _________ |
| A. | Active state |
| B. | Plasticity |
| C. | Surcharge |
| D. | Slip lines |
| Answer» D. Slip lines | |
| 112. |
Surcharge angle β is ____________ |
| A. | inclination of surcharge to the vertical |
| B. | inclination of surcharge to the normal of the wall |
| C. | inclination of surcharge to the horizontal |
| D. | inclination of surcharge to the tangent to the wall |
| Answer» D. inclination of surcharge to the tangent to the wall | |
| 113. |
The backfill has its top surface ____________ |
| A. | horizontal only |
| B. | inclined only |
| C. | both horizontal and inclined |
| D. | vertical only |
| Answer» D. vertical only | |
| 114. |
The portion of backfill lying above a horizontal plane of wall is called ________ |
| A. | surcharge |
| B. | base |
| C. | foot |
| D. | truss |
| Answer» B. base | |
| 115. |
The material retained or supported by the retaining structure is called __________ |
| A. | Surcharge |
| B. | Support wall |
| C. | Back fill |
| D. | All of the mentioned |
| Answer» D. All of the mentioned | |
| 116. |
In passive state, the failure wedge shows ____________ |
| A. | downward movement |
| B. | upward movement |
| C. | left side movement |
| D. | right side movement |
| Answer» C. left side movement | |
| 117. |
The theory of plasticity pertaining to soils is based on ___________ |
| A. | Mohr’s theory |
| B. | Rankine’s method |
| C. | Mohr-coulomb theory |
| D. | None of the mentioned |
| Answer» B. Rankine’s method | |
| 118. |
The coefficient of earth pressure when the soil is at equilibrium is ___________ |
| A. | σv /σh |
| B. | σh /σv |
| C. | σv × σh |
| D. | σ1 / σ3 |
| Answer» C. σv × σh | |
| 119. |
___________ is used for maintaining the ground surface at different elevations. |
| A. | Floor |
| B. | Retaining wall |
| C. | Ceiling |
| D. | Roof |
| Answer» C. Ceiling | |
| 120. |
The material retained by the retaining wall is known as_________ |
| A. | roof |
| B. | slab |
| C. | backfill |
| D. | footing |
| Answer» D. footing | |
| 121. |
The auxiliary plane in the hydrostatic axis can also be called as ___________ |
| A. | Failure plane |
| B. | Octahedral plane |
| C. | Deviatoric plane |
| D. | Principal plane |
| Answer» D. Principal plane | |
| 122. |
The plastic state of stress when the failure is imminent was investigated by ___________ |
| A. | Rankine |
| B. | Darcy |
| C. | Skempton |
| D. | Terzaghi |
| Answer» B. Darcy | |
| 123. |
The intersection of the yield surface or envelope with octahedral plane is called ____________ |
| A. | Yield point |
| B. | Deviation point |
| C. | Failure locus |
| D. | Space diagonal |
| Answer» D. Space diagonal | |
| 124. |
The yield or failure criterion can be expressed as ____________ |
| A. | f(I1,I2)=0 |
| B. | f(I1,I2,I3)=0 |
| C. | f(σ1,σ2,σ3)=0 |
| D. | f(σmax +σmin) |
| Answer» C. f(σ1,σ2,σ3)=0 | |
| 125. |
If the auxiliary plane in hydrostatic axis passes through the origin, then its equation is _____________ |
| A. | σ1+σ2+σ3=0 |
| B. | σ1+σ2+σ3=constant |
| C. | I1+ I2+I3 =0 |
| D. | f(σ1,σ2,σ3)=0 |
| Answer» B. σ1+σ2+σ3=constant | |
| 126. |
For the same 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. |
| A. | pₐ=Kₐ γH₁-Kₐ γ’ H₂+γw H₂ |
| B. | pₐ=Kₐ γH₁+Kₐ γ’ H₂+γw H₂ |
| C. | pₐ=Kₐ γH₁+γw H₂ |
| D. | pₐ=Kₐ γH₁+Kₐ γ’ H₂ |
| Answer» C. pₐ=Kₐ γH₁+γw H₂ | |
| 127. |
In passive 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» C. can be both vertical and horizontal direction | |
| 128. |
Which of the following conduits are commonly used in highway or railway culverts? |
| A. | Positive/Negative projecting conduits |
| B. | Negative projecting conduits |
| C. | Ditch conduits |
| D. | All of the mentioned |
| Answer» B. Negative projecting conduits | |
| 129. |
Based on the assumptions of the wedge theory, pressure distribution is assumed to be __________ |
| A. | Planar |
| B. | Hydrostatic |
| C. | Equal |
| D. | Distributed |
| Answer» C. Equal | |
| 130. |
A soil engineers usually encounter problems of stress distribution in __________ |
| A. | Vicinity of vertical shafts and Vicinity of inclined shafts |
| B. | Vicinity of horizontal shafts |
| C. | None of the mentioned |
| D. | All of the mentioned |
| Answer» B. Vicinity of horizontal shafts | |
| 131. |
For a cohesive soil, the pressure intensity is reduced by a factor of __________ |
| A. | 2c cotα |
| B. | 2c tanα |
| C. | 2c sinα |
| D. | 2c cosα |
| Answer» B. 2c tanα | |
| 132. |
The Mohr-Coulomb criterion assumes that the strength of the soil is independent of ____________ |
| A. | σ1 |
| B. | σ2 |
| C. | σ3 |
| D. | All of the mentioned |
| Answer» C. σ3 | |
| 133. |
The problem of stress distribution in the vicinity of shafts was first solved by ________ |
| A. | Westergaard |
| B. | Terzaghi |
| C. | Darcy |
| D. | Biot |
| Answer» B. Terzaghi | |
| 134. |
Stress due to equivalent fluid pressure can be found out using __________ |
| A. | Biot method |
| B. | Theory of elasticity |
| C. | Lame’s formula |
| D. | Method of superposition |
| Answer» D. Method of superposition | |
| 135. |
During the active 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» C. does not change its position | |
| 136. |
In active state, the major principal stress σ₁ is ____________ |
| A. | horizontal direction |
| B. | vertical direction |
| C. | can be both vertical and horizontal direction |
| D. | in no direction |
| Answer» C. can be both vertical and horizontal direction | |
| 137. |
Originally, Rankine’s theory of lateral earth pressure can be applied to only _______ |
| A. | Cohesion less soil |
| B. | Cohesive soil |
| C. | Fine grained soil |
| D. | Coarse grained soil |
| Answer» B. Cohesive soil | |
| 138. |
The magnitude and direction of relative movements between the interior and exterior prisms of the conduits are dependent upon the ___________ |
| A. | Settlement ratio |
| B. | Projection ratio |
| C. | Settlement of conduits |
| D. | Compressive strain |
| Answer» B. Projection ratio | |
| 139. |
For a surcharge angle β the coefficient of passive earth pressure is _______ |
| A. | Kₚ=\(\frac{\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}} \) |
| B. | Kₚ=\(cosβ \frac{cosβ+\sqrt{cos^2 β-cos^2 φ}}{cosβ-\sqrt{cos^2 β-cos^2 φ}}\) |
| C. | Kₚ=\(\frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}}\) |
| D. | Kₚ=\(cosβ \frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}}\) |
| Answer» C. Kₚ=\(\frac{cosβ-\sqrt{cos^2 β-cos^2 φ}}{cosβ+\sqrt{cos^2 β-cos^2 φ}}\) | |
| 140. |
In passive state, the major principal stress σ₁ ____________ |
| A. | horizontal direction |
| B. | vertical direction |
| C. | can be both vertical and horizontal direction |
| D. | in no direction |
| Answer» B. vertical direction | |
| 141. |
The sign used for complete projection is __________ |
| A. | + |
| B. | – |
| C. | No sign is used |
| D. | None of the mentioned |
| Answer» B. – | |
| 142. |
The active lateral pressure of intact saturated clays is calculated by assuming __________ |
| A. | φ=0 and φc=0 |
| B. | φ=90 |
| C. | None of the mentioned |
| D. | All of the mentioned |
| Answer» B. φ=90 | |
| 143. |
The principal stress relationship on a failure plane is given by _______ |
| A. | σ₁=σ₃ tan² α |
| B. | σ₁=2c tanα-σ₃ tan² α |
| C. | σ₁=2c tanα+σ₃ |
| D. | σ₁=2c tanα+σ₃ tan² α |
| Answer» E. | |
| 144. |
The plastic state of stress was proposed by ___________ |
| A. | Mohr |
| B. | Rankine |
| C. | Coulomb |
| D. | Darcy |
| Answer» C. Coulomb | |
| 145. |
The factor that is responsible for inclination of resultant pressure to the retaining wall is __________ |
| A. | Frictional force |
| B. | Surcharge |
| C. | Earth pressure |
| D. | Weight of the wall |
| Answer» B. Surcharge | |
| 146. |
The problem of computing the stress in the vicinity of a cylindrical tunnel was solved by __________ |
| A. | Terzaghi |
| B. | Mindlin |
| C. | Biot |
| D. | Rankine |
| Answer» C. Biot | |
| 147. |
For μ=0.3, find K₀. |
| A. | 0.429 |
| B. | 0.289 |
| C. | 0.536 |
| D. | 0.375 |
| Answer» B. 0.289 | |
| 148. |
All available graphs and tables, used for finding earth pressure is based on __________ |
| A. | Rankine’s theory |
| B. | Coulomb’s theory |
| C. | Culmann’s theory |
| D. | Rebhann’s graphical method |
| Answer» B. Coulomb’s theory | |
| 149. |
The ratio of horizontal stress σₕ to vertical stress σᵥ is _______ |
| A. | coefficient of earth pressure |
| B. | coefficient of volume change |
| C. | coefficient of compressibility |
| D. | coefficient of consolidation |
| Answer» B. coefficient of volume change | |
| 150. |
The hydrostatic pressure’s inability to produce failure under normal pressure was first demonstrated by ___________ |
| A. | Cross land |
| B. | W. Pager |
| C. | D.C. Drucker |
| D. | Mohr |
| Answer» B. W. Pager | |