Mechanics of Solids Syllabus
Engineering mechanics and strength of materials — statics, trusses, friction, simple machines, stresses, strains and beams.
Syllabus — 11 Units
- 1
Introduction
Scalar and vector quantities, composition and resolution of vectors, units, space, time, particle, rigid body, force.
- 2
Fundamentals of Statics
Principles of statics, coplanar concurrent and non-concurrent forces, moments & couples, free body diagrams, equilibrium.
- 3
Truss
Simple determinate plane trusses, analysis of member forces using method of joints and method of sections.
- 4
Distributed Forces & Moment of Inertia
Centre of gravity, Pappus-Guldinus theorems, moment of inertia, radius of gyration, parallel & perpendicular axes theorems.
- 5
Friction
Static and sliding friction, laws of friction, inclined plane, ladder, wedge, belt and rope friction.
- 6
Simple Machines
Velocity ratio, mechanical advantage, efficiency, levers, pulleys, wheel & axle, screw jacks.
- 7
Properties of Structural Materials
Axial, bending, torsional & shear properties, toughness, hardness, factor of safety, working stress.
- 8
Simple Stresses & Strains
Elastic isotropic materials, elastic limits, linear/shear/thermal/volumetric strain, Poisson's ratio, composite & tapered bars.
- 9
Beam
Types of loads, supports and beams, support reactions, bending moment and shear force diagrams, point of contra-flexure.
- 10
Stresses in Beams
Theory of simple bending, bending stress distribution, moment of resistance, modulus of section, shear stress distribution.
- 11
Principal Stresses and Strains
Compound stresses, principal planes and stresses, angle of obliquity, principal stresses in beams.