Force systems: Moment of a force about a point and about an axis; couple moment; reduction of a force system to a force and a couple.
Equilibrium: Free body diagram; equations of equilibrium; problems in two and three dimensions; plane frames and trusses.
Friction: Laws of Coulomb friction, problems involving large and small contact surfaces; square threaded screws; belt friction; rolling resistance.
Kinematics and Kinetics of particles: Particle dynamics in rectangular coordinates cylindrical coordinates and in terms of path variables; central force motion.
Properties of areas: Moments of inertia and product of inertia of areas, polar moment of inertia, principal axes and principal moments of inertia.
Concept of stress and strain: Normal stress, shear stress, state of stress at a point, ultimate strength, allowable stress, factor of safety; normal strain, shear strain, Hooke’s law, Poisson’s ratio, generalized Hooke’s law; analysis of axially loaded members.
Torsion: Torsion of cylindrical bars, torsional stress, modulus of rigidity and deformation.
Flexural loading: Shear and moment in beams; load, shear and moment relationship; shear and moment diagrams; flexure formula; shear stress in beams; differential equation of the elastic curve, deflection of beams.
Transformation of stress and strain: Transformation of stress and strain, principal stresses, principal strains, Mohr’s circle for stress and strain.
Combined loading: Axial and torsional; axial and bending; axial, torsional and bending.
Column: Buckling of slender columns, Euler bucking load for different end conditions
Text/Reference Books:
- Vector Mechanics for Engineers: Statics and Dynamics - Ferdinand P. Beer, E. Russell Johnston, Jr. (TMH)
- Engineering Mechanics: Statics and Dynamics - I.H. Shames (Pearson)
- Engineering Mechanics - S. Timoshenko, D. H. Young (TMH)
- Mechanics of Materials - Ferdinand Beer , E. Russell Johnston, Jr., J. DeWolf (TMH)
- Elements of Strength of Materials - S. Timoshenko, D. H. Young (East West Press)
- Mechanics of Materials - James M. Gere, Barry J. Goodno (CL Engg)
- Engineering Mechanics - Stephan Timoshenko, D. Young (TMH)
- Strength of Materials (Part 1) – S P Timoshenko (CBS)
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