# GTU Mechanics of Solids Syllabus

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, equilibrium,

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 &

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 friction.

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 & shear loading,

Toughness, hardness, proof stress, factor of safety, working stress,

load factor.

8. Simple stresses & 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, Gujarat Technological University B.E Sem I 8

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.

BOOKS :

1. Engineering Mechanics (Statics) Beer and Johnston

2. Applied Mechanics S. B. Junnarkar & H. J. Shah

3. Mechanics of Structure Vol. I S. B. Junnarkar & H. J. Shah

4. Mechanics of Materials Beer and Johnston