#1Repeated 4 Times[4 Marks]Introduction
Explain the complex nature of soil and discuss common geotechnical problems encountered in civil engineering and infrastructure development.
Appeared in:2081 Chaitra2081 Ashwin2080 Kartik2076 Ashwin
ENCE 253Bachelor in Civil Engineering · Semester 42 Papers Available
Soil Mechanics
Past examination question papers and complete curriculum syllabus for Soil Mechanics (ENCE 253), Bachelor in Civil Engineering Semester 4 under Institute of Engineering (IOE), Tribhuvan University.
Past Question Papers (PDF)
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Most Frequently Asked Questions
Top recurring IOE board exam questions for Soil Mechanics with verified mark schemes, formula notation, and recurrence frequency.
Showing 30 of 30 top repeated questions
Introduction
1 QuestionPhase Relationship, Index Property and Soil Classification
6 Questions#1Repeated 5 Times[6 Marks]Phase Relationship, Index Property and Soil Classification
Establish the relationships between void ratio e, degree of saturation Sr, moisture content w, and specific gravity of solids Gs (e*Sr = w*Gs). Derive the expression for dry density in terms of percentage air voids na and water content w.
Appeared in:2081 Ashwin2080 Kartik2078 Bhadra2075 Ashwin2071 Bhadra
#2Repeated 5 Times[6 Marks]Phase Relationship, Index Property and Soil Classification
How do engineering properties of soil differ from index properties? Explain liquid limit, plastic limit, plasticity index, and liquidity index. A sample of soil with liquid limit of 60% has a liquidity index of 1.3 and water content of 75%. Calculate its plastic limit and plasticity index.
Appeared in:2081 Chaitra2081 Ashwin2079 Bhadra2076 Ashwin2073 Shrawan
#3Repeated 5 Times[8 Marks]Phase Relationship, Index Property and Soil Classification
List the fundamental differences between the USCS and AASHTO systems of soil classification. Draw and describe the plasticity chart used in USCS and explain the criteria for assigning dual symbols (such as SW-SC or GP-GC).
Appeared in:2081 Chaitra2081 Ashwin2080 Kartik2078 Bhadra2074 Ashwin
#4Repeated 5 Times[6 Marks]Phase Relationship, Index Property and Soil Classification
Compare the crystal structures of Kaolinite, Illite, and Montmorillonite clay minerals with neat sketches. Why does soil containing Montmorillonite exhibit high swelling and shrinkage potential in contact with water?
Appeared in:2081 Chaitra2081 Ashwin2080 Kartik2078 Bhadra2075 Ashwin
#5Repeated 3 Times[8 Marks]Phase Relationship, Index Property and Soil Classification
Derive the fundamental Three-Phase Soil Relationships: $e = \frac{w G_s}{S_r}$, $\gamma = \frac{G_s + S_r e}{1 + e}\gamma_w$, and $\gamma_d = \frac{\gamma}{1 + w}$. Given sample measurements, compute void ratio ($e$), porosity ($n$), dry unit weight ($\gamma_d$), and degree of saturation ($S_r$).
Appeared in:2082 Bhadra2081 Chaitra2078 Bhadra
#6Repeated 3 Times[8 Marks]Phase Relationship, Index Property and Soil Classification
Explain Soil Consistency and Atterberg Limits: Liquid Limit ($LL$), Plastic Limit ($PL$), and Shrinkage Limit ($SL$). Define Plasticity Index ($PI$), Liquidity Index ($LI$), and Consistency Index ($CI$). Classify soils using Casagrande's Plasticity Chart ($A$-line equation $PI = 0.73(LL - 20)$).
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
Soil Water, Permeability and Seepage Analysis
7 Questions#1Repeated 5 Times[6 Marks]Soil Water, Permeability and Seepage Analysis
State Darcy's Law and discuss its validity and limitations in soils. Derive the relationship between discharge velocity and seepage velocity, and explain the laboratory determination of coefficient of permeability by constant head and falling head methods.
Appeared in:2081 Chaitra2080 Kartik2078 Bhadra2076 Ashwin2073 Shrawan
#2Repeated 5 Times[8 Marks]Soil Water, Permeability and Seepage Analysis
Define total stress, pore water pressure, and effective stress. Why is the concept of effective stress more critical than total stress in geotechnical design? Draw neat stress distribution diagrams of total stress, pore water pressure, and effective stress across stratified soil deposits with capillary saturation zones.
Appeared in:2081 Chaitra2081 Ashwin2079 Bhadra2077 Chaitra2074 Ashwin
#3Repeated 5 Times[8 Marks]Soil Water, Permeability and Seepage Analysis
Prove that flow lines and equipotential lines satisfy the Laplace equation of 2D steady seepage flow and intersect orthogonally. Explain the construction of a flow net for unconfined seepage through a homogeneous earth dam with a horizontal toe filter, and calculate the seepage discharge.
Appeared in:2081 Chaitra2081 Ashwin2078 Bhadra2075 Ashwin2071 Bhadra
#4Repeated 5 Times[6 Marks]Soil Water, Permeability and Seepage Analysis
Define critical hydraulic gradient, boiling (quick-sand condition), and piping failure in soils. Derive the expression for critical hydraulic gradient ic = (Gs - 1)/(1 + e) and explain preventive measures against piping in hydraulic structures.
Appeared in:2081 Ashwin2080 Kartik2078 Bhadra2076 Ashwin2072 Kartik
#5Repeated 3 Times[8 Marks]Soil Water, Permeability and Seepage Analysis
Explain Darcy's Law for flow of water through porous soils ($v = k i$). Compare the Constant Head Permeability Test (for coarse soils) with the Falling Head Permeability Test (for fine-grained soils), deriving formulas for coefficient of permeability $k$.
Appeared in:2082 Bhadra2081 Chaitra2079 Chaitra
#6Repeated 3 Times[8 Marks]Soil Water, Permeability and Seepage Analysis
Explain Two-Dimensional Seepage and Flow Nets. Define Streamlines, Equipotential lines, Flow channels ($N_f$), and Potential drops ($N_d$). Derive the formula for seepage discharge $q = k H \frac{N_f}{N_d}$ under a concrete weir and calculate the exit hydraulic gradient ($i_{exit}$).
Appeared in:2082 Bhadra2080 Chaitra2076 Chaitra
#7Repeated 3 Times[8 Marks]Soil Water, Permeability and Seepage Analysis
Explain Critical Hydraulic Gradient ($i_c = \frac{G_s - 1}{1 + e}$) and the Quick Sand Condition (Boiling). How is piping failure prevented downstream of hydraulic structures using graded inverted filters?
Appeared in:2082 Bhadra2081 Chaitra2078 Kartik
Soil Stresses
4 Questions#1Repeated 5 Times[6 Marks]Soil Stresses
State the assumptions of Boussinesq's theory for vertical stress distribution due to a concentrated point load. Draw vertical stress distribution on a horizontal plane, vertical axis, and explain the concept of an isobar (pressure bulb).
Appeared in:2081 Chaitra2080 Kartik2078 Bhadra2075 Ashwin2070 Chaitra
#2Repeated 5 Times[8 Marks]Soil Stresses
Describe the construction principle of Newmark's Influence Chart. Explain step-by-step how Newmark's chart is used to determine the vertical stress increment at any depth beneath an irregularly shaped loaded foundation area.
Appeared in:2081 Ashwin2080 Kartik2078 Bhadra2076 Ashwin2074 Ashwin
#3Repeated 3 Times[8 Marks]Soil Stresses
Define Terzaghi's Effective Stress Principle ($\sigma = \sigma' + u$). Calculate total stress ($\sigma$), pore water pressure ($u$), and effective stress ($\sigma'$) profiles across depth in a stratified soil deposit with steady upward and downward seepage flow.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#4Repeated 3 Times[8 Marks]Soil Stresses
Explain Boussinesq's Theory for vertical stress distribution due to a concentrated surface point load $Q$: $\sigma_z = \frac{3Q}{2\pi z^2}\left[1 + (r/z)^2\right]^{-5/2}$. Compare with Westergaard's theory for stratified soils and explain Newmark's Influence Chart.
Appeared in:2082 Bhadra2081 Chaitra2079 Chaitra
Consolidation
5 Questions#1Repeated 5 Times[6 Marks]Consolidation
Discuss the statement 'Soil has memory of stresses'. Define preconsolidation pressure, normally consolidated clay, and over-consolidated clay, and explain Casagrande's graphical method to determine preconsolidation pressure from e-log(p) curves.
Appeared in:2081 Chaitra2081 Ashwin2079 Bhadra2076 Ashwin2073 Shrawan
#2Repeated 5 Times[8 Marks]Consolidation
State Terzaghi's 1-D consolidation theory and its fundamental assumptions. Derive the 1-D consolidation differential equation du/dt = cv * d^2u/dz^2 and define coefficient of consolidation, coefficient of volume compressibility, and compression index.
Appeared in:2080 Kartik2078 Bhadra2076 Ashwin2074 Ashwin2071 Bhadra
#3Repeated 5 Times[8 Marks]Consolidation
In a laboratory consolidation test, a 5 mm settlement was recorded in a soil specimen of 25 mm thickness when pressure was increased from 100 kPa to 200 kPa. If the initial void ratio was 0.85, calculate the compression index and the final primary consolidation settlement of a 3 m thick clay layer in the field under identical loading conditions.
Appeared in:2081 Chaitra2081 Ashwin2078 Bhadra2075 Ashwin2072 Kartik
#4Repeated 3 Times[8 Marks]Consolidation
Derive Terzaghi's One-Dimensional Consolidation Differential Equation: $\frac{\partial u}{\partial t} = c_v \frac{\partial^2 u}{\partial z^2}$. State all assumptions and define Coefficient of Compressibility ($a_v$), Coefficient of Volume Compressibility ($m_v$), and Coefficient of Consolidation ($c_v$).
Appeared in:2082 Bhadra2081 Chaitra2076 Chaitra
#5Repeated 3 Times[8 Marks]Consolidation
Calculate Primary Consolidation Settlement of a clay stratum: $S_c = \frac{C_c H_0}{1 + e_0}\log_{10}\left(\frac{\sigma_0' + \Delta\sigma'}{\sigma_0'}\right)$. Explain Taylor's Square Root of Time method and Casagrande's Logarithm of Time method for determining $c_v$.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
Shear Strength
4 Questions#1Repeated 5 Times[8 Marks]Shear Strength
Explain the Mohr-Coulomb failure criterion for soils. In a direct shear test on a dry sand specimen, the normal stress was 200 kN/m^2 and the sample failed at a shear stress of 120 kN/m^2. Draw the Mohr circle and strength envelope, and determine the angle of internal friction, magnitude of major and minor principal stresses, and orientation of the failure plane.
Appeared in:2081 Ashwin2080 Kartik2078 Bhadra2076 Ashwin2073 Shrawan
#2Repeated 5 Times[8 Marks]Shear Strength
Describe the Consolidated-Drained (CD), Consolidated-Undrained (CU), and Unconsolidated-Undrained (UU) triaxial compression tests. Which test is most appropriate for analyzing the short-term and long-term stability of cohesive soils and explain why.
Appeared in:2081 Chaitra2081 Ashwin2079 Bhadra2077 Chaitra2075 Ashwin
#3Repeated 3 Times[8 Marks]Shear Strength
State the Mohr-Coulomb Failure Criterion: $\tau_f = c' + \sigma' \tan\phi'$. Compare the Direct Shear Test, Unconfined Compression Test (UCT), and Vane Shear Test with their advantages, limitations, and drainage control.
Appeared in:2082 Bhadra2081 Chaitra2078 Kartik
#4Repeated 3 Times[8 Marks]Shear Strength
Describe the Triaxial Shear Test on soils. Contrast Consolidated-Drained (CD), Consolidated-Undrained (CU with pore pressure measurement), and Unconsolidated-Undrained (UU) test procedures. Sketch effective stress Mohr's circles and failure envelopes.
Appeared in:2082 Bhadra2080 Chaitra2079 Chaitra
Soil Compaction
3 Questions#1Repeated 5 Times[6 Marks]Soil Compaction
Explain the factors affecting soil compaction in the field. Draw representative compaction curves for Standard and Modified Proctor tests, explaining optimum moisture content (OMC), maximum dry density (MDD), and zero-air-void line.
Appeared in:2081 Chaitra2080 Kartik2078 Bhadra2076 Ashwin2074 Ashwin
#2Repeated 5 Times[6 Marks]Soil Compaction
What are the different causes of slope failures in soils? Explain the differences between rotational, translational, toe, base, and face failures. Explain Taylor's Stability Number method for calculating the factor of safety of finite homogeneous slopes.
Appeared in:2081 Chaitra2081 Ashwin2078 Bhadra2075 Ashwin2071 Bhadra
#3Repeated 3 Times[8 Marks]Soil Compaction
Explain Soil Compaction. Compare the Standard Proctor Test with the Modified Proctor Test. Explain Optimum Moisture Content (OMC), Maximum Dry Density (MDD), Zero Air Voids Line ($ZAV$), and field compaction machinery.
Appeared in:2082 Bhadra2080 Chaitra2078 Bhadra
Curriculum Syllabus & Course Topics
Sourced from TU curriculum portalChapter-wise Units & Micro-Syllabus Topics (7 Units)
1. Introduction
- 1.1Historical development of soil mechanics
- 1.2Scope and application of soil mechanics
- 1.3Soil formation and soil types
- 1.4Soil structures and clay minerals
2. Phase Relationship, Index Property and Soil Classification
- 2.1Basic definitions
- 2.2Phase relationships: Volume-volume, mass-volume, weight-volume and mass-mass relationships
- 2.3Soil index properties: Index properties of coarse and fine grained soils
- 2.4Soil classification systems (MIT, USCS, IS, BS)
- 2.5Field identification of soil
3. Soil Water, Permeability and Seepage Analysis
- 3.1Soil water and capillarity
- 3.2Soil permeability (Darcy’s law and its validity, coefficient of permeability from laboratory and field tests and their significance)
- 3.3Factors affecting soil permeability
- 3.4Permeability in stratified soil
- 3.5Two dimensional flow (Laplace equation)
- 3.6Flow net, flow net construction and applications
- 3.7Seepage through an earthen dam (with and without horizontal filter)
- 3.8Seepage through anisotropic soil condition
- 3.9Piping failure and its mitigation measures
4. Soil Stresses
- 4.1Effective stress principle
- 4.2Effective stress (Hydrostatic, one dimensional flow and uniform surcharge)
- 4.3Quick sand condition, problems and mitigation
- 4.4Stress due to applied load (Boussinesq’s solution and its extension; Westergaard’s solution)
- 4.5Newmark’s influence chart
- 4.6Equivalent point load and approximate stress distribution for loaded areas
5. Consolidation
- 5.1Consolidation process (Spring analogy)
- 5.2One-dimensional consolidation theory
- 5.3Oedometer test (Compression, swelling and recompression indices; compressibility, volume change and consolidation coefficients; pre- consolidation pressure)
- 5.4Secondary consolidation
- 5.5Normally consolidated and over consolidated clay
- 5.6Settlement calculation
- 5.7Accelerating consolidation (Preloading, vertical and horizontal drains)
6. Shear Strength
- 6.1Shear strength, Mohr circle and Mohr-Coulomb failure theory
- 6.2Shear strength of soil
- 6.2.1Direct shear test
- 6.2.2Uniaxial compression test
- 6.2.3Triaxial compression tests (stress-strain behavior, stress path)
- 6.2.4Vane shear test
- 6.3Factors affecting shear strength
- 6.4Cyclic shear strength (Cyclic triaxial test, stress-strain behavior, hysteresis loop, shear modulus, cyclic strength envelope)
- 6.5Critical state framework
7. Soil Compaction
- 7.1Importance of soil compaction
- 7.2Compaction tests and results interpretation (Standard and modified Proctor tests, Harvard miniature compaction test)
- 7.3Factors affecting compaction
- 7.4Structure and engineering behavior of compacted soils
- 7.5Compaction specification and field control
Examination Scheme & Marks Distribution
Evaluation Structure
- Final Board Theory Exam: 60 Marks (Pass mark: 24)
- Internal Assessment: 40 Marks (Pass mark: 16)
- Practical / Lab Exam: 25 or 50 Marks (Continuous lab evaluation + viva, where applicable)
* This is the general current IOE 60/40 scheme; verify course-specific details in the syllabus above.
Exam Preparation Guidelines
- Review the 2 available past examination papers to identify recurring patterns, core problem types, and chapter weightage.
- Practice numerical problems step-by-step with clean formula derivations, clear units, and standard assumptions.
- Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.
Frequently Asked Questions (Soil Mechanics)
Q: How can I download Soil Mechanics past question papers?
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Q: What is the pass mark for Soil Mechanics?
The general current scheme is a 60-mark final theory exam and a 40-mark internal assessment, with pass marks of 24 and 16. Verify the course-specific syllabus above.
Q: Where can I find the complete syllabus for this subject?
The available chapter-wise syllabus and topic breakdown is indexed in the Syllabus section above, with links to the curriculum PDF source.
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