Soil Mechanics MCQ Practice Set — 50 Questions with Answers
50 exam-oriented Soil Mechanics multiple-choice questions with the correct answer and a clear explanation for each. Frequently asked in AE Level Civil Engineering, JE Level Civil Engineering. Solve the full set below for free — no login required.
- 1Soil MechanicsMEDIUM
'Vibro-flotation' (vibro-compaction) is used to densify:
AVery soft cohesive clays (undrained shear < 30 kPa)BLoose granular sand deposits — vibration liquefies temporarily, grains rearrange to denser stateCRock massesDOrganic and peaty soilsAnswer: B. Loose granular sand deposits — vibration liquefies temporarily, grains rearrange to denser state
Explanation: Vibro-compaction / vibroflotation: a vibrating probe (torpedo-shaped, 400 mm dia) penetrated into loose sand. Vibration (horizontal, 50 Hz) liquefies granular soil locally → sand grains rearrange under gravity to denser state. Sand backfill added from surface to fill voids. After withdrawal: stone column sometimes formed (vibro-replacement for cohesive soils). Suitable for: loose clean sand (< 15% fines).
- 2Soil MechanicsHARD
The 'International Building Code' (IBC) and IS codes classify building sites for seismic design based on:
ABuilding height and number of floorsBShear wave velocity Vs,30 (or SPT N-value) in top 30 m — softer soil = higher amplification = more stringent seismic designCRainfall intensity at the siteDDistance from city centreAnswer: B. Shear wave velocity Vs,30 (or SPT N-value) in top 30 m — softer soil = higher amplification = more stringent seismic design
Explanation: Site classification for seismic design: based on average Vs,30 (shear wave velocity in top 30 m) or SPT N-value: Rock (SA): Vs > 760 m/s; Hard soil (SB): 360–760; Medium (SC): 180–360; Soft (SD): < 180 m/s (IS 1893 Table 1 similar). Soft soils amplify ground motion (site amplification). SS (soft soil)/S1 (liquefiable) sites require special analysis. IS 1893 uses soil type I, II, III (similar principle).
- 3Soil MechanicsHARD
The 'Hvorslev parameters' c_e and φ_e in soil mechanics refer to:
ACompression index and swelling indexBTrue intrinsic cohesion and friction at constant void ratio — separates structural effects from actual soil properties in OC clayCGrain size parameters d10 and d60DHydraulic conductivity in two directionsAnswer: B. True intrinsic cohesion and friction at constant void ratio — separates structural effects from actual soil properties in OC clay
Explanation: Hvorslev (1937): true (intrinsic) cohesion c_e and true angle of friction φ_e of soil. From drained tests on OC clay: failure envelope in (e, σ') space rather than simple Mohr-Coulomb in (τ, σ') space. The apparent c in Mohr-Coulomb is due to overconsolidation (structure/cementation). At same void ratio: τf = c_e + σ'×tanφ_e (Hvorslev). Shows that φ_e is nearly constant; OCR controls apparent cohesion.
- 4Soil MechanicsEASY
The 'IS 2911' code series covers:
AOnly retaining wall designBDesign and construction of pile foundations — covers bored, precast, driven, timber, and under-reamed pilesCShallow foundation bearing capacity onlyDSoil exploration methodsAnswer: B. Design and construction of pile foundations — covers bored, precast, driven, timber, and under-reamed piles
Explanation: IS 2911: Design and Construction of Pile Foundations. Parts: (1) Concrete piles (bored cast-in-situ, precast, driven); (2) Timber piles; (3) Under-reamed piles; (4) Load tests on piles. IS 2911 Part 4: Static load test on piles (maintained load test). Companion: IS 14593 (bore pile quality). IS 2950 (open foundation), IS 1080 (shallow foundation). IS 2911 is the primary pile code used by practising engineers.
- 5Soil MechanicsMEDIUM
The 'cement stabilisation' of sub-base material for roads (IS 4332 Part 4) improves:
AReducing bearing capacity of soilBIncreases UCS, reduces plasticity and swell, improves stiffness — through C-S-H cementation of soil particlesCMaking soil more plastic and compressibleDOnly useful for clay soils above 50% finesAnswer: B. Increases UCS, reduces plasticity and swell, improves stiffness — through C-S-H cementation of soil particles
Explanation: Cement stabilisation: 3–8% cement mixed with soil. Benefits: (1) Increases UCS (IS 4332: 7-day soaked UCS 1.7–3.5 MPa for sub-base); (2) Reduces plasticity; (3) Reduces swell; (4) Increases stiffness (CBR). C-S-H gel forms between cement and soil particles. Best for: sands, sandy clays, silts. Poorly suited for: organic soils, high sulphate soils (ettringite forms). IRC:50 covers cement-treated sub-base (CTB).
- 6Soil MechanicsMEDIUM
The 'shear strength' of soil measured in an 'undrained triaxial test' (UU test) is:
ADependent on effective confining pressureBConstant Su = (σ1-σ3)/2 regardless of cell pressure for saturated clay (φu=0 — effective stress unchanged during shearing)COnly for dry sandsDSum of c and tanφ times confining pressureAnswer: B. Constant Su = (σ1-σ3)/2 regardless of cell pressure for saturated clay (φu=0 — effective stress unchanged during shearing)
Explanation: UU triaxial test: no drainage permitted during cell pressure application or shear. For saturated clay: increase in cell pressure = increase in pore pressure → effective stress unchanged → failure envelope is horizontal (φu = 0). Su = (σ1-σ3)/2 = constant regardless of cell pressure. Results: total stress envelope only. Used for: rapid loading problems (embankment stability at end of construction in soft clay).
- 7Soil MechanicsMEDIUM
The 'primary consolidation' of a clay layer settles because:
AImmediate elastic compression of soil grainsBDissipation of excess pore water pressure → effective stress increase → void ratio decrease (water squeezed out)CErosion of clay particlesDSwelling of clay minerals on wettingAnswer: B. Dissipation of excess pore water pressure → effective stress increase → void ratio decrease (water squeezed out)
Explanation: Primary consolidation: excess pore water pressure (generated by load application) dissipates through drainage → effective stress increases → volume decreases. Time rate: cv×t/H²_dr (Tv = dimensionless time factor). Final settlement: Δe/(1+e0)×H from oedometer Cc and pressure increment. Complete primary consolidation: u_excess → 0, effective stress = final applied stress. Secondary: continued creep after u=0.
- 8Soil MechanicsHARD
The 'Swedish slip circle method' (Fellenius method) for slope stability is conservative because:
AIt over-estimates shear resistanceBNeglects inter-slice forces → under-estimates normal stress on slip surface → under-estimates friction resistance → lower FOSCIt always gives FOS > 2.0DIt assumes no friction (φ=0 always)Answer: B. Neglects inter-slice forces → under-estimates normal stress on slip surface → under-estimates friction resistance → lower FOS
Explanation: Fellenius/Ordinary Method of Slices: assumes inter-slice forces are parallel to slice base (zero inter-slice shear and normal). This under-estimates normal force on slip surface → under-estimates shear resistance → FOS lower than actual. Typically FOS(OMS) = 5–20% lower than Bishop's. Very conservative for φ > 0 soils. Still used for preliminary checks. More accurate: Bishop''s simplified or Spencer''s method.
- 9Soil MechanicsMEDIUM
The 'creep' behaviour of soil under long-term sustained load is called:
AImmediate elastic compression on loadingBSecondary consolidation — volume change under constant effective stress due to viscous particle rearrangement (creep)CSwelling on unloadingDPiping failure of sandAnswer: B. Secondary consolidation — volume change under constant effective stress due to viscous particle rearrangement (creep)
Explanation: Secondary consolidation (creep): volume change (compression) occurring at constant effective stress, after primary consolidation (excess pore pressure fully dissipated). Due to: plastic rearrangement of soil fabric (clay particles, organic matter). Cα = secondary compression index = Δe/Δlog(t). Significant in: highly organic soils, soft clays, peat. Cα/(Cc) ≈ 0.04–0.06 for inorganic clays, 0.05–0.1 for organics.
- 10Soil MechanicsHARD
'Compaction grouting' as a ground improvement technique involves:
AInjecting liquid to permeate soil poresBInjecting very stiff grout bulbs that densify loose surrounding soil by lateral displacementCMixing cement into soil with augerDFreezing the soilAnswer: B. Injecting very stiff grout bulbs that densify loose surrounding soil by lateral displacement
Explanation: Compaction grouting: very low-slump (0–25 mm) cement-sand grout injected under high pressure into loose soil through small-diameter pipes. Grout forms a bulb; does NOT penetrate soil pores (like permeation grouting). Instead, the expanding bulb densifies surrounding soil by displacement. Used for: loose sand, collapsible soils, utility corridor remediation. Controlled by monitoring injection pressure and volume.
- 11Soil MechanicsMEDIUM
The 'grouting' method used to fill large voids in karstic limestone is:
ACompaction grouting (too viscous for large voids)BBulk (filling) grouting — cement-bentonite slurry poured or pumped into large karstic voids and mine workingsCChemical grouting with silicates onlyDElectro-osmosis (for cohesive soils only)Answer: B. Bulk (filling) grouting — cement-bentonite slurry poured or pumped into large karstic voids and mine workings
Explanation: Types of grouting: (1) Permeation (chemical) grouting: low-viscosity chemicals (sodium silicate, acrylate) for fine sands; (2) Compaction grouting: stiff grout densifies loose soil; (3) Jet grouting: high-pressure jet cuts soil + grout forms column; (4) Bulk/filling grouting: cement-bentonite slurry poured into large voids (karst caves, old mine workings, tunnels). Karst voids: drilling + gravity/low-pressure cement filling.
- 12Soil MechanicsHARD
The 'consolidation settlement' of a clay layer can be separated into:
AOnly one type of settlement existsBImmediate (elastic), primary consolidation (pore pressure dissipation), and secondary (creep) settlementsCOnly immediate and secondaryDConsolidation and shear failure settlementsAnswer: B. Immediate (elastic), primary consolidation (pore pressure dissipation), and secondary (creep) settlements
Explanation: Total consolidation settlement = Immediate (elastic) settlement (Si) + Primary consolidation settlement (Sc) + Secondary consolidation settlement (Ss). Si: elastic compression of clay (undrained, instant). Sc: time-dependent primary (pore pressure dissipation). Ss: creep of soil skeleton (constant effective stress, beyond 100% consolidation). For soft clays: Sc >> Si >> Ss. For overconsolidated stiff clays: Si dominates.
- 13Soil MechanicsHARD
The 'bishop''s simplified method' for circular slip surface analysis computes FOS by:
AInfinite slope analysis (no slices)BVertical slice method with moment equilibrium and iteration: FOS=Σ(resistance)/Σ(driving) accounting for pore pressure uCRankine earth pressure at the toeDOnly the most critical slip surface without iterationAnswer: B. Vertical slice method with moment equilibrium and iteration: FOS=Σ(resistance)/Σ(driving) accounting for pore pressure u
Explanation: Bishop''s simplified: slip circle; divides into vertical slices. FOS = Σ[c'b + (W-ub)tanφ'] / mα / ΣW sinα where mα = cosα + sinα×tanφ'/FOS (requires iteration). Simplified: ignores inter-slice shear forces (retains inter-slice normal). More accurate than Ordinary Method of Slices (OMS/Fellenius). For most soil conditions: Bishop's gives FOS ≈ 0–15% higher than OMS. Standard for circular failure in homogeneous slopes.
- 14Soil MechanicsMEDIUM
The 'strut and waler' support system in a braced excavation works as:
AThe struts carry tension like cablesBHorizontal compression members (struts) supported by walers distribute active earth pressure across the excavationCOnly for water control (no structural role)DStruts are always pre-cast concrete panelsAnswer: B. Horizontal compression members (struts) supported by walers distribute active earth pressure across the excavation
Explanation: Braced excavation: as excavation proceeds, horizontal steel struts (or tie-backs) installed at intervals to support sheeting/piling. Walers: horizontal beams distributing load from sheeting to struts. Struts: horizontal compression members transmitting force across excavation. Hydraulic struts: allow pre-loading to reduce wall deflection. Failure modes: strut buckling (slender struts), waler failure, strut connection failure.
- 15Soil MechanicsHARD
'Rock mass classification' by 'RMR' (Rock Mass Rating, Bieniawski) considers:
AOnly uniaxial compressive strengthBUCS + RQD + joint spacing + joint condition + groundwater + orientation adjustment — 6 parameters total, 0–100 scoreCOnly the depth of the rock massDChemical composition of rockAnswer: B. UCS + RQD + joint spacing + joint condition + groundwater + orientation adjustment — 6 parameters total, 0–100 score
Explanation: Bieniawski RMR (1973): 6 parameters: (1) UCS of intact rock (0–15 pts); (2) RQD (3–20 pts); (3) Spacing of discontinuities (5–20 pts); (4) Condition of discontinuities (0–30 pts); (5) Groundwater condition (0–15 pts); (6) Orientation of discontinuities (adjustment −12 to 0 pts). Total RMR 0–100. Class I (81–100): very good; II (61–80): good; III (41–60): fair; IV (21–40): poor; V (0–20): very poor rock. Used for: tunnel support design.
- 16Soil MechanicsMEDIUM
The 'differential settlement' between two footings is more harmful than total settlement because:
ATotal settlement is easy to measure accuratelyBDifferential settlement causes angular distortion → structural cracking and tilting; uniform total settlement less harmfulCTotal settlement always causes collapseDDifferential settlement only affects wooden structuresAnswer: B. Differential settlement causes angular distortion → structural cracking and tilting; uniform total settlement less harmful
Explanation: Differential settlement: unequal settlement of foundations → angular distortion (δ/L). Structural damage thresholds: angular distortion 1/500 for sensitive structures; 1/300 for RC frames with brick infill; 1/150 for steel frames with brick panels. Even if total settlement is large but uniform (no differential), structure may still function. Differential settlement causes: tilt, cracking, structural distress, sinking at one end.
- 17Soil MechanicsHARD
In the 'Cam Clay model' for soil behaviour, the 'yield surface' represents:
AThe boundary below which no stress can existBBoundary separating elastic (inside) from elastoplastic (outside) behaviour in p'−q space for clayCThe shear strength failure line onlyDCreep behaviour of clayAnswer: B. Boundary separating elastic (inside) from elastoplastic (outside) behaviour in p'−q space for clay
Explanation: Cam Clay: critical state model for normally consolidated clays. Yield surface (ellipse in p'-q space where p' = mean effective stress, q = deviatoric stress) separates: (1) Inside — elastic (recoverable) behaviour; (2) Outside — elastoplastic (volumetric yielding, compression). The surface passes through origin and critical state line intersection. Hardening: yield surface expands with plastic compression. Widely used in FEM for clay.
- 18Soil MechanicsMEDIUM
'Peat' soils in geotechnical engineering are problematic because:
APeat has very high strength (low water content)BVery high compressibility, low strength, high long-term secondary compression — large prolonged settlements make foundation design very difficultCPeat is too hard to excavateDPeat swells excessively on wettingAnswer: B. Very high compressibility, low strength, high long-term secondary compression — large prolonged settlements make foundation design very difficult
Explanation: Peat: highly organic (> 75% organic content), very high void ratio (e = 5–15), high compressibility (Cc = 1–3), very low shear strength (Su = 5–20 kPa), very high secondary compression (Cα/Cc = 0.05–0.07). Settlement: large, slow, ongoing for decades. Not suitable for direct foundation without treatment. Treatment: (1) Remove and replace; (2) Deep mixing with lime/cement; (3) Pre-loading with wick drains; (4) Avoid (bridge over peat).
- 19Soil MechanicsHARD
The 'residual shear strength' of over-consolidated clay is relevant for:
AFresh compacted fill with no slip historyBExisting (reactivated) slip surfaces in OC clay — platelet alignment gives lowest possible φ'r; must use residual for old landslidesCSand liquefaction analysisDPile design in soft clayAnswer: B. Existing (reactivated) slip surfaces in OC clay — platelet alignment gives lowest possible φ'r; must use residual for old landslides
Explanation: Residual strength: after large displacement (existing slip surface) φ'_r = much lower than peak φ'p; c'_r ≈ 0. Clay platelets align parallel to slip plane → very low friction. φ'_r = 8–15° for high-plasticity clays (bentonite); 20–25° for low-plasticity. Used in: stability analysis of first-time and reactivated landslides, old dam failures (sliding along pre-existing slip surface). Must be used if reactivation of old slip is possible.
- 20Soil MechanicsHARD
The 'quick clay' behaviour observed in sensitive Scandinavian clays is due to:
AVery high organic content making clay buoyantBLeached marine clay — loss of salt destroys flocculated structure; disturbance collapses cemented fabric to near-fluid slurryCPresence of coarse sand layersDHigh temperature melting clay mineralsAnswer: B. Leached marine clay — loss of salt destroys flocculated structure; disturbance collapses cemented fabric to near-fluid slurry
Explanation: Quick clay: marine clay deposited in saline water (Na⁺ in pores keeps clay flocculated). Later leached by freshwater → Na⁺ replaced by water → highly unstable structure maintained only by cementation and structure. On disturbance (liquefaction): structure collapses, strength drops to near-zero → liquid. St > 100. Cannot be predicted by simple tests. Causes massive landslides (e.g., Rissa 1978 Norway). Indian analogy: very soft marine clays.
- 21Soil MechanicsHARD
A 'diaphragm wall' (slurry wall) for deep basement excavation is constructed by:
ADriving steel sheet piles with vibratory hammerBTrenching under bentonite slurry, placing rebar cage, tremie concrete from bottom — forms permanent RC panelCInjecting concrete grout onlyDInstalling pre-cast panels from surfaceAnswer: B. Trenching under bentonite slurry, placing rebar cage, tremie concrete from bottom — forms permanent RC panel
Explanation: Diaphragm wall: trench excavated panel by panel (3–6 m long) under bentonite slurry (supports trench stability by hydrostatic pressure). Rebar cage lowered. Concrete tremied from bottom displacing slurry. Panels joined by stop-end pipes or water-stops. Walls reach 30–60 m depth. Functions: (1) Permanent basement wall; (2) Water cutoff; (3) Retaining wall during excavation. Used in: Mumbai metro, Kolkata metro stations, high-rise basements.
- 22Soil MechanicsHARD
The 'pressuremeter test' (PMT) in a borehole measures:
AVertical stress at depth onlyBIn-situ horizontal stress and soil stiffness from inflating probe against borehole wall — limit pressure and pressuremeter modulusCOnly soil moisture contentDShear strength by driving a coneAnswer: B. In-situ horizontal stress and soil stiffness from inflating probe against borehole wall — limit pressure and pressuremeter modulus
Explanation: Pressuremeter: cylindrical probe inflated in borehole under controlled pressure. Measures volume of water pumped in vs pressure applied → pressure-volume curve. From curve: (1) Limit pressure pL (equivalent to passive resistance); (2) Ménard pressuremeter modulus EM (soil stiffness); (3) KH0 (at-rest horizontal stress from lift-off pressure). Used for: foundation design in French practice (Ménard), pile design (semi-empirical), creep coefficient for settlements.
- 23Soil MechanicsHARD
The 'arching effect' in soils explains why:
AMore load is applied to yielding partBLoad transfers from yielding to stationary soil through shear → less load on structure than full overburden weightCArching only occurs in dry sandDArching is only relevant in rock tunnelsAnswer: B. Load transfers from yielding to stationary soil through shear → less load on structure than full overburden weight
Explanation: Arching (Terzaghi, 1943): when one portion of soil mass yields relative to adjacent stationary mass → shear stresses develop along failure surface → load transferred from yielding to stationary soil. Examples: (1) Load on buried pipe less than full weight of overburden (negative arching when pipe settles); (2) Tunnel lining carries much less than full overburden; (3) Silo bin pressures (Janssen) less than full column weight. Arching = soil''s self-supporting ability.
- 24Soil MechanicsHARD
The 'geosynthetic reinforced soil wall' (GRS) functions by:
ALike a concrete gravity retaining wall (no reinforcement needed)BHorizontal geosynthetic layers in compacted fill carry tension, confining soil and enabling stable steep-faced wallsCThe facing alone carries all loadsDBy pre-stressing the soilAnswer: B. Horizontal geosynthetic layers in compacted fill carry tension, confining soil and enabling stable steep-faced walls
Explanation: GRS (Geosynthetic Reinforced Soil) retaining wall: geogrid or geotextile layers placed horizontally in compacted soil fill. Reinforcement acts as tensile member; mobilises friction from surrounding soil. Equivalent to increasing horizontal confining stress. Construction: wrapped face or block/panel face. Analysis: internal stability (tensile failure of geogrid, pullout) and external stability (overturning, sliding, bearing). Cost 30–50% less than concrete retaining walls.
- 25Soil MechanicsHARD
The 'observational method' in geotechnical engineering (Peck, 1969) involves:
AUsing maximum possible loads for design (no flexibility)BDesign-as-you-go: construct incrementally monitoring actual behaviour; pre-planned contingencies if limits exceededCUsing only laboratory test results without field verificationDRandom design without any monitoringAnswer: B. Design-as-you-go: construct incrementally monitoring actual behaviour; pre-planned contingencies if limits exceeded
Explanation: Observational method: (1) Design on best estimate of properties; (2) Define acceptable limits; (3) Select monitoring scheme; (4) Plan contingency measures; (5) Monitor during construction; (6) Modify design if needed. Particularly suitable when: soil variability high, properties uncertain, failure mode well-defined. Examples: embankment on soft clay with pore pressure monitoring, piled foundation monitoring. Avoids: over-conservative design AND unexpected failure.
- 26Soil MechanicsHARD
'Ground anchors' (soil nails or rock anchors) in deep excavations resist:
AOnly compression loads on wallBTensile forces from wall/slope wanting to move — anchor transfers tension to stable ground through grouted fixed zoneCSeismic vibration onlyDWind loads on adjacent buildingsAnswer: B. Tensile forces from wall/slope wanting to move — anchor transfers tension to stable ground through grouted fixed zone
Explanation: Ground anchor: steel tendon or bar drilled into soil/rock at angle; grouted in at fixed length; pre-stressed against anchor head on wall. Transfers tensile force to stable ground beyond failure wedge. Used for: (1) Retaining wall tie-back (prevents overturning/sliding); (2) Foundation uplift resistance; (3) Slope stabilisation. Pre-stressed anchors: minimise wall deflection. IS 14448 covers soil anchors. Load test: proof load test (110% design load).
- 27Permeability Falling HeadMEDIUM
In a falling head permeability test, the coefficient of permeability k is given by:
Ak = aL/(At) × ln(h₁/h₂)Bk = Q×L/(A×h×t)Ck = iA/QDk = v/iAnswer: A. k = aL/(At) × ln(h₁/h₂)
Explanation: Falling head test: k = (a×L)/(A×t) × ln(h₁/h₂) = (a×L)/(A×t) × 2.303×log(h₁/h₂), where a = area of standpipe, A = area of sample, L = length of sample, h₁ = initial head, h₂ = final head, t = time elapsed.
- 28Soil MechanicsMEDIUM
The shrinkage index in a soil test is equal to
APlastic Limit - Shrinkage LimitBLiquid Limit - Plastic LimitCLiquid Limit - Shrinkage LimitDPlastic Limit - Liquid LimitAnswer: A. Plastic Limit - Shrinkage Limit
Explanation: Shrinkage Index is defined as the difference between the plastic limit and the shrinkage limit (Ip = PL - SL).
- 29Soil MechanicsMEDIUM
The tendency for general shear failure of an isolated footing in sand, in general, decreases with
Adecreasing footing depthBincreasing footing widthCdecreasing soil-grain compressibilityDincreasing relative density of the sandAnswer: A. decreasing footing depth
Explanation: General shear failure is associated with dense sands and shallow depths. As the depth of the footing increases, the failure mode tends to shift from general shear to local or punching shear. Therefore, decreasing the depth increases the likelihood of general shear failure, while increasing the depth decreases it.
- 30Compaction TestMEDIUM
In Standard Proctor compaction test, the compaction energy per unit volume used is:
A593 kJ/m³B604 kJ/m³C2674 kJ/m³D1200 kJ/m³Answer: A. 593 kJ/m³
Explanation: Standard Proctor compaction energy is approximately 593 kJ/m³. The calculation is (3 layers * 25 blows * 2.5 kg * 9.81 m/s² * 0.305 m) / 0.000944 m³ = 593 kJ/m³.
- 31Soil MechanicsMEDIUM
In the slope-deflection method, the deformation is primarily considered to be caused by
Abending momentBshear forceCaxial forceDtorsionAnswer: A. bending moment
Explanation: The slope-deflection method is based on the Euler-Bernoulli beam theory, which assumes that deformations due to bending moments are significant, while deformations due to shear and axial forces are neglected.
- 32Index PropertiesMEDIUM
The flow curve in a liquid limit test (Casagrande device) plots water content vs number of blows on semi-log scale. The slope of this line is:
APlasticity indexBFlow indexCConsistency indexDToughness indexAnswer: B. Flow index
Explanation: Flow index If = slope of flow curve = (w1−w2)/log(N2/N1). It represents rate of loss of shear strength with water content.
- 33Seepage AnalysisHARD
The Laplace equation governing 2D steady seepage is:
A∂u/∂t = Cv(∂²u/∂z²)B∂²h/∂x² + ∂²h/∂z² = 0C∂h/∂t = k∇²hDq = kiAAnswer: B. ∂²h/∂x² + ∂²h/∂z² = 0
Explanation: Laplace equation for 2D seepage (isotropic soil): ∂²h/∂x² + ∂²h/∂z² = 0. For anisotropic: kx∂²h/∂x² + kz∂²h/∂z² = 0, which transforms to Laplace by coordinate scaling.
- 34Earth PressureMEDIUM
For a dry cohesionless soil with unit weight 18 kN/m³, φ=30°, and wall height 5m, the total active earth pressure (Rankine) per metre length is:
A75 kN/mB135 kN/mC45 kN/mD90 kN/mAnswer: A. 75 kN/m
Explanation: Ka=tan²(45−φ/2)=tan²(30°)=(0.577)²=0.333. Pa=½×Ka×γ×H²=½×0.333×18×25=75 kN/m. Acts at H/3=1.67m from base.
- 35Soil MechanicsMEDIUM
The 'bearing capacity' of soil increases with depth because:
AGroundwater table always rises with depthBOverburden surcharge q=γDf increases with depth, increasing contribution of Nq term in Terzaghi''s BC formulaCTemperature is higher at depthDBC is constant with depthAnswer: B. Overburden surcharge q=γDf increases with depth, increasing contribution of Nq term in Terzaghi''s BC formula
Explanation: BC increases with depth: (1) Terzaghi formula: qu = cNc + qNq + 0.5γBNγ where q = γDf (surcharge from overburden) increases with depth Df; (2) For cohesionless soils (c=0): qu = qNq + 0.5γBNγ — both q and γ terms increase; (3) Confinement from overburden increases friction mobilisation. This is why deep foundations (piles) can carry much higher loads than shallow footings.
- 36Soil MechanicsHARD
The 'dilatancy correction' in SPT for fine sands below water table is applied when N exceeds:
AN > 30 for all soil typesBN > 15 for fine sands/silts below water table — actual N overestimates true density due to negative pore pressure during drivingCN < 5 for soft claysDN > 60 (never needed in practice)Answer: B. N > 15 for fine sands/silts below water table — actual N overestimates true density due to negative pore pressure during driving
Explanation: IS 2131 / Terzaghi correction: in saturated fine sands and silts: high SPT N (>15) → pore water suction develops during driving → apparent stiffness increase. Dilatancy correction: N_corrected = 15 + 0.5(N_actual − 15) when N > 15. But only for fine sands below WT (not coarse sands). Reduces N to account for pore pressure effect. Applied BEFORE overburden correction in some methods.
- 37Soil MechanicsHARD
The 'group efficiency' of pile groups is generally less than 1.0 in:
ADense sand deposits where piles densify surrounding soilBClay soils — overlapping stress/strain zones reduce group capacity per pile below individual pile capacityCOnly for single piles not groupedDAll soils equallyAnswer: B. Clay soils — overlapping stress/strain zones reduce group capacity per pile below individual pile capacity
Explanation: Pile group efficiency η = Q_group / (n × Q_single). In clays (cohesive soils): group efficiency < 1 due to overlapping stress zones → group settles more and has lower capacity per pile. In sands (cohesionless): group efficiency can be > 1 (densification effect). Converse-Labarre formula: η = 1 − φ[(n_cols−1)n_rows + (n_rows−1)n_cols] / (90 × n_cols × n_rows). Block failure also checked.
- 38Soil Mechanics and Foundation EngineeringHARD
For dry sand with gamma = 18 kN/m3, H = 4 m and Ka = 1/3, active thrust per metre length is:
A96 kN/mB72 kN/mC24 kN/mD48 kN/mAnswer: D. 48 kN/m
Explanation: Pa = 0.5 Ka gamma H^2 = 0.5 x 1/3 x 18 x 16 = 48 kN/m.
- 39Terzaghi Consolidation TheoryMEDIUM
According to Terzaghi one-dimensional consolidation theory, the degree of consolidation U at time factor Tv = 0.197 is approximately:
A10%B50%C90%D25%Answer: B. 50%
Explanation: Terzaghi consolidation: Tv = pi/4 * (U%)^2 / 10000 for U < 60%. At U=50%: Tv = pi/4 * (50)^2 / 10000 = 0.196 approximately 0.197. At U=90%: Tv = 0.848. The time factor Tv = Cv*t/Hd^2 (Cv = coefficient of consolidation, Hd = drainage path = H/2 for doubly drained layer).
- 40Soil Mechanics and Foundation EngineeringMEDIUM
The undrained shear strength of clay from unconfined compression test is:
ATwice the unconfined strengthBZero alwaysCHalf the unconfined compressive strengthDEqual to unconfined strengthAnswer: C. Half the unconfined compressive strength
Explanation: For saturated clay in unconfined compression, qu = 2cu.
- 41Pore Pressure ParametersMEDIUM
Skempton pore pressure parameters A and B for a saturated soil under undrained loading relate excess pore pressure to principal stress increments as:
ADelta u = B [Delta sigma_3 + A(Delta sigma_1)]BDelta u = B [Delta sigma_3 + A(Delta sigma_1 - Delta sigma_3)]CDelta u = A x Delta sigma_1 + B x Delta sigma_3DDelta u = (Delta sigma_1 + Delta sigma_3) / 2Answer: B. Delta u = B [Delta sigma_3 + A(Delta sigma_1 - Delta sigma_3)]
Explanation: Skempton (1954): Delta_u = B[Delta_sigma_3 + A(Delta_sigma_1 - Delta_sigma_3)], where B = 1 for saturated soil (degree of saturation > 95%), A at failure: A = 0 to 0.5 for heavily OC clays; A = 0.5 to 1.0 for NC clays; A > 1.0 for very sensitive or loose sands. Negative A (OC clay) indicates tendency to dilate. Used in undrained triaxial analysis.
- 42Bearing Capacity Eccentric LoadMEDIUM
Meyerhof's method for eccentric loading reduces the bearing capacity by using an effective footing dimension. For a footing of width B under eccentricity e, the effective width B' is:
AB - eBB - 2eCB/2 + eD2(B/2 - e)Answer: B. B - 2e
Explanation: Meyerhof's effective width concept: B' = B - 2e, L' = L - 2e_L (for two-way eccentricity). The effective area B'×L' is used to compute bearing pressure and bearing capacity, ensuring uniform effective pressure distribution.
- 43Geotextile FunctionsMEDIUM
A geotextile used as a separator between subgrade and granular base in a road pavement prevents:
ASettlements due to loadBMigration of fine particles from subgrade into base courseCMoisture movement upwardDFrost heave onlyAnswer: B. Migration of fine particles from subgrade into base course
Explanation: Geotextiles used as separators prevent intermixing/migration of fine subgrade soil particles into the coarser aggregate base layer. This maintains the drainage capacity and load-carrying performance of the base course.
- 44Field CBR TestMEDIUM
The California Bearing Ratio (CBR) value at 2.5 mm penetration of a soil is determined by dividing the load to achieve 2.5 mm penetration by:
A1370 kgf (standard load for crushed stone)B680 kgfC1000 kgfD2055 kgfAnswer: A. 1370 kgf (standard load for crushed stone)
Explanation: CBR (at 2.5 mm) = (test load at 2.5 mm penetration) / 1370 kgf × 100%. The standard load at 2.5 mm = 1370 kgf (13.44 kN) for crushed stone base. At 5 mm: standard load = 2055 kgf.
- 45Proctor NeedleMEDIUM
The Proctor penetration needle is used to measure:
AShear strength in the fieldBSoil bearing capacityCPenetration resistance to estimate moisture content at a given densityDIn-situ CBR valueAnswer: C. Penetration resistance to estimate moisture content at a given density
Explanation: The Proctor penetration needle (IS 2720 Part 4) is a field device to determine the water content corresponding to a particular degree of compaction achieved in the field, by correlation with the laboratory Proctor test penetration resistance.
- 46Expansive SoilsMEDIUM
Black cotton soil in India is an example of an expansive soil. Its swelling behavior is primarily due to the presence of:
AKaolinite clay mineralBIllite clay mineralCMontmorillonite clay mineralDQuartz mineralAnswer: C. Montmorillonite clay mineral
Explanation: Montmorillonite (smectite) clay mineral has a large specific surface and is responsible for high swelling in black cotton soil. Its 2:1 lattice structure allows water molecules to enter between layers, causing expansion.
- 47SPT N-valueMEDIUM
In Standard Penetration Test (SPT), the N-value is defined as the number of blows required to drive the split spoon sampler:
AA total depth of 450 mmBA seating depth of 150 mmCThe last 300 mm (after 150 mm seating)DA total depth of 300 mmAnswer: C. The last 300 mm (after 150 mm seating)
Explanation: SPT: The sampler is first driven 150 mm (seating drive). The blow count for the next 300 mm (in two 150 mm increments) is the N-value. The seating drive blows are discarded.
- 48Shear Vane TestMEDIUM
The field vane shear test is best suited for determining the undrained shear strength of:
ASandy soilsBSoft to medium clays and siltsCDense gravelDRockAnswer: B. Soft to medium clays and silts
Explanation: The field vane shear test (IS 4434) is used for soft to medium sensitive clays and silts in-situ. It measures undrained shear strength by rotating a cruciform vane and measuring the torque at failure.
- 49Atterberg LimitsMEDIUM
The shrinkage limit of a soil is defined as the water content:
ABelow which the soil starts to crackBAt which additional loss of water does not cause further volume changeCAt which the soil transitions from plastic to liquid stateDAt which the soil transitions from semi-solid to solid stateAnswer: B. At which additional loss of water does not cause further volume change
Explanation: Shrinkage limit (SL) = water content below which further drying does not reduce the volume of the soil mass. It marks the transition from semi-solid to solid state (some sources say solid to semi-solid; IS defines it as water content at which soil on drying ceases to change volume further).
- 50Soil Mechanics and Foundation EngineeringHARD
Increasing compactive effort generally:
Aincreases MDD and decreases OMCBhas no effectCmakes soil weightlessDdecreases MDD and increases OMCAnswer: A. increases MDD and decreases OMC
Explanation: Greater effort packs soil denser at a lower optimum moisture.