Bihar Engineering University, Bihar, Civil Engineering Semester 3, Engineering Mechanics Syllabus

Unit - 1 Introduction to Engineering Mechanics covering

1.1 Force System Basic Concepts

1.2 Particle Equilibrium in 2D and 3D

1.3 Rigid Body Equilibrium

1.4 System of forces

1.5 Coplanar Concurrent Forces

1.6 Components in Space Resultant Force

1.7 Components in Space Moment of a Force

1.8 Couples and Resultant of Force System

1.9 Equilibrium of System of Forces

1.10 Freebody Diagram

1.11 Equations of Equilibrium of Coplanar and Spatial systems

1.12 Static Indeterminacy

Unit - 2 Friction

2.1 Types of Friction

2.2 Limiting Friction

2.3 Static and Dynamic Friction

2.4 Laws of Friction

2.5 Motion of Bodies

2.6 Wedge Friction

2.7 Screw Jack and Differential Screw Jack

Unit - 3 Basic Structural Analysis

3.1 Equilibrium in Three Dimensions

3.2 Method of Sections

3.3 Method of joints

3.4 How to determine if a member is in tension or in compression

3.5 Simple Trusses

3.6 Zero force members

3.7 Beams types of beams

3.8 Frames and Machines

Unit - 4 Centroid and Centre of Gravity

4.1 Centroid and Center of Gravity

4.2 Centroid of simple figures by first principle.

4.3 Centroid of composite sections

4.4 Center of Gravity and its implications

4.5 Area Moment of Inertia

4.6 Moment of Inertia of Plane sections using first principle

4.7 Theorems of Moment of Inertia

4.8 Moment of Inertia of standard sections and composite section

4.9 Mass moment inertia of circular plate Cylinder Cone Sphere Hook

Unit - 5 Virtual Work and Energy Method

5.1 Virtual Work and Energy Method – Virtual displacement

5.2 Principle of virtual work for particle

5.3 Principle of virtual work for ideal system of rigid bodies

5.4 Degrees of freedom

5.5 Active force diagram

5.6 Systems with friction

5.7 Mechanical efficiency

5.8 Conservative forces and potential energy

5.9 Energy equation for equilibrium

5.10 Application of energy equation for equilibrium

5.11 Stability of equilibrium

Unit - 6 Review of particle dynamics – Rectilinear Motion

6.1 Rectilinear Motion

6.2 Plane curvilinear motion

6.3 3D curvilinear motion

6.4 Relative and constrained motion

6.5 Newton’s 2nd law

6.6 Work – Kinetic energy principle

6.7 Power

6.8 Potential Energy

6.9 Impulsemomentum principle

6.10 Impact

Unit - 7 Introduction to Kinetics of Rigid Bodies

7.1 Basic terms and general principles

7.2 Types of motion

7.3 Instantaneous center of rotation in plane and simple problems

7.4 D’Alembert’s principle and its application in plane motion and connected bodies

7.5 Work energy principle and its application in plane motion and connected bodies

7.6 Kinetics of rigid body rotation

Unit - 8 Mechanical Vibrations

8.1 Mechanical Vibrations Basic terminologies

8.2 Free and forced vibrations

8.3 Resonance and its effects

8.4 Degree of Freedom

8.5 Formulation of Differential Equation of Motion for free Vibrations without damping

8.6 Derivation for frequency and amplitude of free vibrations without damping and single degree of freedom system

8.7 Types of pendulums

8.8 Use of simple compound and torsion pendulums