Mechanics of Solids [Strength of Materials]

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This document does not claim any originality and cannot be used as a substitute for prescribed textbooks. I would like to acknowledge various sources like freely available materials from internet particularly NPTEL/ SWAYAM course material from which the lecture note was prepared. The ownership of the information lies with the respective authors or institutions. Further, this document is not intended to be used for commercial purpose and the BlogSpot owner is not accountable for any issues, legal or otherwise, arising out of use of this document.

This open resource is a collection of academic courses of under graduation program for B.Tech (Civil Engineering) as per the syllabus of Dr. B.A.T University, Lonere, Raigad (m.s), India prepared by Dr. Mohd. Zameeruddin, Associate Professor, MGM's College of Engineering, Nanded for use in the out-of-class activity. The content covers both theoretical and analytical studies. There are Five lessons as part of this document, and each deal with an aspect related to Mechanics of Solids (Course Code BTCVES 302).

Course Outcomes:

1. Understand the Stress and Strain concept, the Stress-Strain Relationships for homogenous and isotropic materials and their measurements.
2. Prepare Force distribution diagrams for different structural members.
3. Evaluate stresses in determinate beams subjected to bending and torsion.
4. Evaluate stresses in columns and struts subjected to axial and flexural loads.
5. Perform failure analysis.

Course Contents

Module 1: Stress and Strain

Simple stress -Analysis of internal forces, simple stress, shearing stress, bearing stress, diaphragm or skin stresses in thin-walled vessels, statically indeterminate members and thermal stresses.

Simple strains -Stress strain diagram for different engineering materials and its importance for elastic and plastic analysis, Hooke's law: axial and shearing deformations, Poisson’s ratio: biaxial and tri-axial deformations, variation of stress with inclination of element, relationship between modulus of rigidity and modulus of elasticity, variation of stress at a point: analytical derivation, introduction to strain measurement devices, Sensors: working principle.

 Module 2: Axial Force, Shear Force and Moment in Beam 

Axial force, shear force and moment in beams – concept of unbalanced forces at a transverse section, axial forces, shear forces and moment – interaction of these, relations among load shear and moment, introduction to moving loads. 

Assumptions made in Mechanics of Solids

1. The material of the body has a solid (continuous) Structure, that is Homogeneous
2. The material is Isotropic, that is having identical properties at all points.
3. The are no internal forces initially in a material before the application of loading.
4. The principle of superposition holds good for internal forces, deformations and displacements.
5. Compatibility condition holds good for internal forces, deformations and displacements.

What is Stress? Discuss its units? Classify Stress.