Engineering Mechanics
First Year • Semester 1 • NEP Syllabus
Engineering Mechanics (1CE004ES)
**Course Aim:** The objective of this course is to present the basic principles of static and dynamics and help develop proficiency in applying these principles to formulate and solve problems.
Equilibrium: Free-body diagrams, equations of equilibrium, problems of equilibrium involving co-planar force system acting on a particle, rigid body and system of rigid bodies.
Trusses: Definitions, assumptions, types, Analysis of simple plane perfect trusses by method of joints.
2. Bhavikatti, S. S., Engineering Mechanics, New Age International Publishers.
3. Dr Mohammad Zuhair, Engineering Mechanics (Static and Dynamics), Dnyanpath Publication.
Resultant & Equilibrium
Varignon's Theorem: The moment of a force about any point is equal to the algebraic sum of the moments of its components about the same point.
Lami's Theorem: If three coplanar forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two.
Beams & Trusses
Types of Supports: Roller (1 reaction), Hinged (2 reactions), Fixed (3 reactions).
Trusses: Structures made of slender members connected at joints.
Analysis: Method of Joints (equilibrium of each joint) and Method of Sections (equilibrium of a part of truss).
Friction
Limiting Friction: Maximum static friction just before motion starts. F = ΞN.
Angle of Repose: Maximum inclination of a plane at which a body remains in equilibrium under its own weight.
Wedge Friction: Used to lift heavy loads by applying a small force.
Centroid & MOI
Centroid: Geometric center of a plane area.
Moment of Inertia (I): Resistance of a body to angular acceleration.
Parallel Axis Theorem: I_AB = I_G + Ah².
Perpendicular Axis Theorem: I_zz = I_xx + I_yy (for laminar bodies).
Kinematics
Study of motion without considering forces.
Rectilinear Motion: Motion along a straight line (v = u + at, s = ut + ½at²).
Curvilinear Motion: Motion along a curved path. Components: Normal (change in direction) and Tangential (change in speed).
Kinetics
Study of motion considering forces.
D'Alembert's Principle: F - ma = 0 (converts dynamic problem to static equilibrium).
Work-Energy Principle: Work done by all forces = Change in Kinetic Energy.
Impulse-Momentum: Impulse = Change in Momentum.
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