## Syllabus For The Subject Soil Mechanics & Foundation

1.    Coplanar Force Systems

1.1.        Definition

1.2.        Principle of Transmissibility of Force

1.3.        Parallelogram Law of Forces

1.4.        Components of Force

1.5.        Resolved Parts of Force

1.6.        Triangle Law of Forces

1.7.        Lami’s Theorem

1.8.        Moment of Force

1.9.        Varignon’s Theorem

2.    Conditions of Equilibrium

2.1.        Introduction

2.2.        Types of Equilibrium

2.3.        Equilibrium Conditions for Rigid Body

3.    Friction

3.1.        Introduction

3.2.        Law of Frictions

3.3.        Angle and Cone Friction

3.4.        Rolling Friction

4.    Centre of Gravity

4.1.        Introduction

4.2.        Centre of mass

4.3.        Centre of mass of system of particles

4.4.        Centre of mass of uniform plane lamina

4.5.        Application to composite figures

4.6.        Frameworks constructed from uniform rods and wires

4.7.        Equilibrium of uniform lamina on an inclined plane

4.8.        Equilibrium of plane lamina

5.    Moment of Inertia

5.1.        Moment of inertia of system of particles

5.2.        Moment of inertia of rigid body

5.3.        Perpendicular axis theorem

5.4.        Parallel axis theorem

5.5.        Mass moment of inertia

6.    Virtual Work

6.1.        Introduction

6.2.        Principle of virtual workfor applied force

6.3.        Virtual work principle for rigid body

7.    Simple Machines

7.1.        Introduction

7.2.        Lever

7.3.        Wheel and axle

7.4.        Inclined planes

7.5.        Screw

7.6.        Wedge

7.7.        Law of machines

8.    Kinematics of Rectilinear Motion

8.1.        Kinematics

8.2.        Rectilinear motion

8.3.        Relative velocity

8.4.        Kinematics of vertical motion

8.5.        summary

9.    Kinematics of Curvilinear Motion

9.1.        Key features of curvilinear motion

9.2.        Motion of a projectile

9.3.        List of formulae

9.4.        General formulae

9.5.        Kinematics equation for x and y components

10. Work ,Energy and Power

10.1.     Work done by constant force

10.2.     Work done by a variable force

10.3.     Energy

10.4.     Potential energy

10.5.     Formulae of gravitational potential energy

10.6.     Kinetic energy

10.7.     Formulae for kinetic energy

10.8.     Kinetic energy and work done

10.9.     Conservation of energy

10.10.  Power

10.11.  Moment ,Couple and Torque

10.12.  Work done by constant torque

10.13.  Power transmitted by constant torque

10.14.  Work done by variable torque

11. Impulse and Momentum

11.1.     Impulse of a force

11.2.     Impulsive force

11.3.     Conservation of linear momentum

11.4.     Impact of unelastic bodies

11.5.     Mpact of elastic bodies

12. Simple harmonic Motions and Free Vibrations

12.1.     Simple harmonic motion

12.2.     Free natural vibrations

12.3.     Damped vibrations

12.4.     Critical damping

12.5.     Underdamped oscillations

12.6.     Overdamped oscillations

12.7.     Logarithmic decrement

12.8.     Angular vibrations

12.9.     Symbols

13. Dynamics of Circular Motion

13.1.     Force on the particle

13.2.     Force in uniform circular motion

13.3.     Forces in non uniform circular motion

13.4.     Conical pendulum

13.5.     Banking of round tracks

13.6.     Banking of curves

13.7.     A cyclist negotiating a curved level road

14. Gravitational Potential

14.1.      Introduction

14.2.     Gravitational potential energy

14.3.     Gravitational self energy

14.4.     Interaction energy of system of particles

14.5.     Work done against gravity

14.6.     Relation between gravitational potential and intensity

14.7.     Relation between g and G