368 Questions5 Difficulty Levels13-15% in GATEFree Practice
Soil Mechanics and Foundation Engineering together carry 12-16 marks in GATE CE, making geotechnical engineering one of the highest-weightage sections. Soil mechanics covers phase relationships, index properties, permeability, seepage, compaction, consolidation, and shear strength. Foundation engineering covers bearing capacity, pile foundations, earth pressure, and slope stability. Terzaghi's contributions — effective stress principle, 1D consolidation theory, and bearing capacity equation — form the backbone of this subject.
Difficulty Levels
L1 · Foundation · 206 Qs
L2 · Understanding · 37 Qs
L3 · Application · 84 Qs
L4 · Analysis · 31 Qs
L5 · GATE Ready · 1 Qs
Key Topics Covered
Phase relationships (e, n, S, w, γ)
Atterberg limits & soil classification
Permeability & Darcy's law
Seepage & flow nets
Compaction (Proctor test)
Consolidation (Cv, settlement)
Shear strength (Mohr-Coulomb)
Triaxial tests (UU, CU, CD)
Bearing capacity (Terzaghi, Meyerhof)
Earth pressure (Rankine, Coulomb)
Key Formulas
e = wGs (for saturated soil)
k = q/(i·A) (Darcy's law)
Cv = Tv·H²/t
τf = c + σ·tanφ
qu = cNc + qNq + 0.5γBNγ (Terzaghi)
Ka = (1−sinφ)/(1+sinφ)
GATE Exam Tip: Phase relationship problems are free marks — master the e-S-w-γ conversions. For consolidation, practice computing settlement and time from Cv. Bearing capacity problems always come — know when to use Terzaghi vs Meyerhof and how water table affects the bearing capacity.
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Q1 · Level 1 · GE-SML-1026
The process of soil breakdown and alteration, known as weathering, is primarily driven by:
Q2 · Level 1 · GE-SML-1333
Cohesive soil deposits typically exhibit which characteristic?
Q3 · Level 1 · GE-SML-1311
The factor of safety for a slope is quantitatively expressed as the ratio of:
Q4 · Level 2 · GE-SML-1266
In soil mechanics, the ultimate bearing capacity of frictionless soils is:
Q5 · Level 2 · GE-SML-1305
Which of the following retaining structures primarily relies on its own mass for stability?
Q6 · Level 2 · GE-SML-1128
In scenarios of seepage through an earthen embankment, the boundary line of the flow at the free surface typically follows the shape of a:
Q7 · Level 3 · GE-SML-1042
Which equation correctly relates dry density (γd), bulk density (γ), and water content (w)?
Q8 · Level 3 · GE-SML-1152
If the resultant shear stresses on two orthogonal planes are zero, what is the angle separating these planes?
Q9 · Level 3 · GE-SML-1135
The primary objective of performing a Standard Proctor test is to ascertain:
Q10 · Level 3 · GE-SML-1286
As per Rankine's earth pressure theory, what is the formula for the least depth of a foundation?
Q11 · Level 3 · GE-SML-1052
Theoretically, what are the possible values for the void ratio in a soil mass?
Q12 · Level 4 · GE-SML-1075
If the volume of voids is equal to the volume of solids in a ground, then the values of porosity and voids ratio respectively are:
Q13 · Level 4 · GE-SML-1220
According to principles in soil mechanics, the coefficient of active earth pressure, Ka, is mathematically defined as:
Q14 · Level 4 · GE-SML-1081
A reduction in the moisture content of a soil mass leads to a decrease in its volume in which of the following behavioral states?
Q15 · Level 4 · GE-SML-1329
A shear stress is applied __________ to a surface of a material.
Q16 · Level 5 · GE-SML-0020
A saturated clay specimen is first consolidated under a cell pressure of 400 kPa in a triaxial cell with drainage valve open. The drainage valve is then closed, and an additional cell pressure of 100 kPa is applied. The pore water pressure immediately after closing the valve and applying the additional pressure is:
(a) What is the pore pressure immediately after applying the 100 kPa increment?
(b) If Skempton's pore pressure parameter A = 0.5 at failure, and the deviator stress at failure is 200 kPa, what is the total pore pressure at failure?