MCQOPTIONS
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MCQOPTIONS
This section includes 180 Mcqs, each offering curated multiple-choice questions to sharpen your Geotechnical Engineering knowledge and support exam preparation. Choose a topic below to get started.
| 151. |
When the ratio of r/z equals to 0.5, the Boussinesq influence factor is ________ of the maximum. |
| A. | 23% |
| B. | 57% |
| C. | 17.7% |
| D. | 1.8% |
| Answer» C. 17.7% | |
| 152. |
If a uniformly loaded circular area is divided into 44 sectors, then the influence value if is given by ___________ |
| A. | \(\frac{1}{44} \left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{3}{2}\right] \) |
| B. | \(44\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{3}{2}\right] \) |
| C. | \(44\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{5}{2}\right] \) |
| D. | \(\frac{1}{44} \left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{5}{2}\right] \) |
| Answer» B. \(44\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^\frac{3}{2}\right] \) | |
| 153. |
Contact pressure is the ratio of ___________ |
| A. | area to normal load |
| B. | normal load to tangential load |
| C. | tangential load to normal load |
| D. | normal load to true contact area |
| Answer» E. | |
| 154. |
___________ is a compatibility equation. |
| A. | \(\frac{∂^2 ε_y}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| B. | \(\frac{∂^2 ε_x}{∂y^2} +\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| C. | \(\frac{∂^2 ε_x}{∂y^2} -\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| D. | \(\frac{∂^2 ε_x}{∂y^2} *\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) |
| Answer» C. \(\frac{∂^2 ε_x}{∂y^2} -\frac{∂^2 ε_y}{∂x^2} = \frac{∂^2 Γ_{xy}}{∂x∂y}\) | |
| 155. |
For a saturated clay, the theoretical intensity of contact pressure at the centre is________ |
| A. | q |
| B. | q/2 |
| C. | ¾ q |
| D. | q/3 |
| Answer» C. ¾ q | |
| 156. |
There are __________ strain components for a three dimensional case. |
| A. | 2 |
| B. | 3 |
| C. | 6 |
| D. | 8 |
| Answer» D. 8 | |
| 157. |
In Terzaghi’s Theory of one dimensional consolidation, excess pore water drains out in __________ |
| A. | horizontal direction only |
| B. | tangential direction only |
| C. | vertical direction only |
| D. | both horizontal and vertical direction |
| Answer» D. both horizontal and vertical direction | |
| 158. |
The assumption of Boussinesq equation is that the soil is ______________ |
| A. | elastic |
| B. | semi-elastic |
| C. | plastic |
| D. | semi-plastic |
| Answer» B. semi-elastic | |
| 159. |
The equilibrium equation in Y-direction in terms of effected stress for a saturated soil body is given by __________ |
| A. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}+X=0\) |
| B. | \(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y{‘}}{∂y}+\frac{∂τ_{zy}}{∂z}+γ_w \frac{∂h}{∂y}=0\) |
| C. | \(\frac{∂τ_{xz}}{∂x}+\frac{∂τ_{yz}}{∂y}+\frac{∂σ_z{‘}}{∂z}+Z=0\) |
| D. | \(\frac{∂σ_x{‘}}{∂x}+\frac{∂τ_{yx}}{∂y}+\frac{∂τ_{zx}}{∂z}=0\) |
| Answer» C. \(\frac{∂τ_{xz}}{∂x}+\frac{∂τ_{yz}}{∂y}+\frac{∂σ_z{‘}}{∂z}+Z=0\) | |
| 160. |
The assumption made by Boussinesq in the solutions is by the ____________ |
| A. | theory of plasticity |
| B. | theory of elasticity |
| C. | yield point |
| D. | failure point |
| Answer» C. yield point | |
| 161. |
At a point, there are/is _________ normal stress. |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» D. 4 | |
| 162. |
The problems due to stress distribution in soils due to a concentrated load was studied by _____________ |
| A. | G.B Airy |
| B. | Terzaghi |
| C. | Darcy |
| D. | Boussinesq |
| Answer» E. | |
| 163. |
The equilibrium equations in terms of total stresses formed by summing all forces on z-direction is ________ |
| A. | \(\frac{∂σ_x}{∂x} + \frac{∂τ_{yx}}{∂y} + \frac{∂τ_{zx}}{∂z} +Z=0\) |
| B. | \(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y}{∂y}+\frac{∂τ_{zy}}{∂z}=0\) |
| C. | \(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +γ=0\) |
| D. | \(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\) |
| Answer» D. \(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\) | |
| 164. |
The following diagram represents the contact pressure of __________ |
| A. | real elastic material |
| B. | intermediate soil |
| C. | cohesionless soil |
| D. | gravel |
| Answer» B. intermediate soil | |
| 165. |
The relation between the shear stress component in xz-plane in Cartesian coordinates and polar coordinates for vertical line load is ___________ |
| A. | τxz=σᵣ tan²θ |
| B. | τxz=σᵣ cosec²θ |
| C. | τxz=σᵣ sinθcosθ |
| D. | τxz=σᵣ sin²θ |
| Answer» D. τxz=σᵣ sin²θ | |
| 166. |
Find the load at depth 10m for a uniformly loaded circular area of radius 1000m. k=1. The vertical pressure σz is 80 kN/m². |
| A. | 51kN/m² |
| B. | 54 kN/m² |
| C. | 80 kN/m² |
| D. | 12kN/m² |
| Answer» D. 12kN/m² | |
| 167. |
On simplifying the compatibility equation in terms of stresses with respect to Poisson’s ratio is given by _________ |
| A. | σz=γz |
| B. | σx=σy=\(\frac{μ}{1-μ}γz\) |
| C. | σx=σy=\(\frac{1}{μ} γz\) |
| D. | σx=σy=μγz |
| Answer» C. σx=σy=\(\frac{1}{μ} γz\) | |
| 168. |
The force systems acting on an elastic body in equilibrium are _______ |
| A. | body forces only |
| B. | surface forces only |
| C. | both body and surface forces |
| D. | body stresses |
| Answer» D. body stresses | |
| 169. |
If θ is the angle subtended by the edges of the strip load, then the Boussinesq’s vertical pressure σz due to strip load is given by ________ |
| A. | \(σ_z=\frac{q}{π}(θ+sinθ)\) |
| B. | \(σ_z=\frac{q}{π}(θ-sinθ)\) |
| C. | \(σ_z=\frac{q}{π}(sinθ)\) |
| D. | \(σ_z=\frac{q}{π} θ\) |
| Answer» B. \(σ_z=\frac{q}{π}(θ-sinθ)\) | |
| 170. |
The Boussinesq’s vertical pressure σz due to line load at a point situated vertically below the line load is given by ________ |
| A. | \(σ_z=\frac{2q’}{πz}\) |
| B. | \(σ_z=\frac{3q’}{πz}\) |
| C. | \(σ_z=\frac{2q’}{πz}\frac{1}{[1+(z)^2 ]^2} \) |
| D. | \(σ_z=\frac{2q’}{z}\) |
| Answer» B. \(σ_z=\frac{3q’}{πz}\) | |
| 171. |
For maximum vertical stress, the shear stress is _________ if the load is 20 kN and r=2m. |
| A. | 0.4356 kN/m² |
| B. | 0.244 kN/m² |
| C. | 0.1518 kN/m² |
| D. | 0.3625 kN/m² |
| Answer» E. | |
| 172. |
In Newmark’s influence chart method, the point below which pressure is required should lie within the loaded area. |
| A. | True |
| B. | False |
| C. | May be True or False |
| D. | Can't say |
| Answer» C. May be True or False | |
| 173. |
The Boussinesq’s vertical pressure σz under a uniformly loaded circular area is given by ________ |
| A. | \(σ_z=q\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}}\right] \) |
| B. | \(σ_z=q\left[1+\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}}\right] \) |
| C. | \(σ_z=q\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}} \) |
| D. | \(σ_z=q\left[1-\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{5}{2}}\right] \) |
| Answer» B. \(σ_z=q\left[1+\left[\frac{1}{1+(\frac{a}{z})^2}\right]^{\frac{3}{2}}\right] \) | |
| 174. |
Hooke’s law states that within elastic limit, ______ |
| A. | stress is directly proportional to strain |
| B. | stress is inversely proportional to strain |
| C. | stress does not depend on strain |
| D. | stress is equal to strain |
| Answer» B. stress is inversely proportional to strain | |
| 175. |
The σₓ in terms of stress function is given by __________ |
| A. | \(\frac{∂Φ}{∂z}\) |
| B. | \(\frac{∂^2 Φ}{∂z^2}\) |
| C. | \(\frac{∂^2 Φ}{∂x2}\) |
| D. | \(\frac{∂Φ}{∂x}\) |
| Answer» C. \(\frac{∂^2 Φ}{∂x2}\) | |
| 176. |
The boundary condition equation for X̅, where X̅ is the component of the surface force in x-direction per unit area is ___________ |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» D. d | |
| 177. |
The normal stress component acting at the centre, in the given diagram, will be _________ to the face (B D D1 B1). |
| A. | increased to \((σ_y+\frac{∂σ_y}{∂y}\frac{dy}{2}) \) |
| B. | decreased to \((σ_y-\frac{∂σ_y}{∂y}\frac{dy}{2}) \) |
| C. | equal to σy |
| D. | equal to σz |
| Answer» B. decreased to \((σ_y-\frac{∂σ_y}{∂y}\frac{dy}{2}) \) | |
| 178. |
The normal stress component acting at the centre, in the given diagram, will be _________ to the face (A C C1 A1). |
| A. | increased to \((σ_y+\frac{∂σ_y}{∂y}\frac{dy}{2}) \) |
| B. | decreased to \((σ_y-\frac{∂σ_y}{∂y}\frac{dy}{2}) \) |
| C. | equal to σy |
| D. | equal to σz |
| Answer» C. equal to σy | |
| 179. |
The boundary condition equation for Y̅, where Y̅ is the component of the surface force in y-direction per unit area is ___________ |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» B. b | |
| 180. |
The boundary condition equation for Z̅, where Z̅ is the component of the surface force in z-direction per unit area is ___________ |
| A. | a |
| B. | b |
| C. | c |
| D. | d |
| Answer» C. c | |