Course

Unit 1

Simple Stresses and Strains- Concept of stress and strain, Elasticity and plasticity – Types of stresses and strains, Hooke’s law– stress – strain diagram for ductile and brittle materials including mild steel, aluminum, torr steel – Working stress – Factor of safety – Lateral strain, Poisson’s ratio and volumetric strain – Elastic moduli and the relationship between them – principal stresses and Mohr’s circle.

Bars of varying section – composite bars –thermal stresses – strain energy in tension, compression and shear – resilience – stresses due to impact and suddenly applied load.

Unit 2

Different types of beam – statically determinate beams – shear force and bending moment diagrams – relationship between intensity of loading, shear force and bending moment. Theory of simple bending – Stress distribution at a cross-section due to bending moment for statically determinate beams. Shear stress distribution. Shear center and Unsymmetrical bending.

Torsion of circular solid and hollow shafts – combined bending moment and torsion on shafts.

Unit 3

Deflection of beams – double integration method –Area Moment method – Conjugate beam method. Theory of columns – members subjected to axial load and bending moment – Euler’s theory for long columns – assumptions and limitations – Rankine’s formula, Thin cylinders.

Introduction to basic MATLAB coding for solving structural members under various type of loading and validation using available software

Course Objectives

1. To explain the properties of materials and concepts of stress and strain
2. To illustrate the deformational characteristics of elements and
3. To highlight the response of structural elements under various loading

Course Outcome

CO1: Understand the concepts of mechanics of deformable solids and apply them to problems on the strength and stability of structural elements and mechanical components.

CO2: Evaluate the shear force, bending moment and stress variation in structural elements subjected to static loads.

CO3: Understand the basic principles and analyze problems pertaining to structural members subjected to axial load, torsion, bending, transverse shear, and combination loading.

CO4: Develop the necessary theoretical background necessary for courses in structural analysis and design.

CO5: Introduction to basic MATLAB coding for solving structural members under various type of loading and validation using available software.

CO-PO Mapping

Text Book(s)

Gere, J.M. and Goodno.B.J., “Mechanics of Materials”, CL Engineering, 2012.

Beer, Johnston, DeWolf, Mazurek., “Mechanics of Materials”, McGraw-Hill Education, 2013

Reference(s)

Timoshenko, S.P., and Young, D.H., “Elements of Strength of Materials”, East West Press, New Delhi, 2003. Popov E.P., “Mechanics of Materials”, Prentice Hall India, New Delhi, 2002

Crandall, S.H.., Dahal, N.C., and Lardener,T.J., “An Introduction to Mechanics of Solids”, McGraw hill Books Co, 1985, 2nd Edition 2017

Nash W.A. “Strength of Materials”, McGraw Hill Book Company, 2006