GTU Gujrat - MECHANICS OF SOLIDS

GTU Gujrat - MECHANICS OF SOLIDS :: Description

1. Introduction: Scalar and Vector Quantities, composition and resolution of vectors, system of units, definition of space, time, particle, rigid body, force.

2. Fundamentals of Statics: Principles of statics, coplanar, concurrent and non-concurrent, parallel and non-parallel forces, composition and resolution of forces, moments & couples - their properties, combination of coplanar couples and forces, equilibrant, quilibrium,
free body diagrams, analytical conditions of equilibrium for coplanar
force systems.

3. Truss: Simple determinate plane trusses and analysis for member forces using methods of joints and methods of sections.

4. Distributed forces, center of gravity and moment of inertia: Center of gravity of lines, plane areas, volumes and bodies, Pappus – Guldinus theorems, moment of inertia, polar moment of inertia and radius of gyration of areas, parallel & perpendicular axes theorems.

5. Friction: Theory of friction, static and sliding friction, laws of friction, angle and coefficient of friction, inclined plane friction, ladder friction, wedges, belt and rope riction.

6. Simple Machines: Velocity ratio, mechanical advantage, efficiency,reversibility of machines, simple machines such as levers, pulley and pulley blocks, wheel and differential axle, Single purchase/double purchase crab, compound screw jacks.

7. Physical & Mechanical properties of structural materials: Properties related to axial, bending, and torsional and shear loading, Toughness, hardness, proof stress, factor of safety, working stress, load factor.

8. Simple stresses and strains: Elastic, homogeneous, isotropic materials; limits of elasticity and proportionality, yield limit, ultimate strength, strain hardening, section of composite materials, prismatic and non-prismatic sections.

Strains: Linear, shear, lateral, thermal and volumetric, Poisson’s ratio.Stresses: Normal stresses, axial – tensile & compressive, shear and complementary shear, thermal and hoop,. Applications to composite material stepped & tapered bars.

9. Beam:
(a) Types of loads, Types of supports, Types of beams, Support reactions for statically determinate beams
(b) Bending moment and Shear force , Bending moment and shear force diagrams for statically determinate beams subjected to couples,concentrated forces, uniformly distributed loadings, relation between bending moment, shear force and rate of loading, point of contraflexure.

10. Stresses in beams: Theory of simple bending, bending stresses and their distribution, moment of resistance, modulus of sections, distribution of shear stresses in different sections.

11. Principal stresses and strains: Compound stresses, analysis of principal planes and principal stresses, principal strains, angle of obliquity of resultant stress, principal stresses in beams.