Edseek Academy

@edseekacademy

Founded by education professionals, EDSEEK Academy is a registered education firm which aims at providing high quality yet affordable tuition to high school, undergraduate and post-graduate students in Kochi via our Tuition Centers. Across all our educational programs, right from Class X all the way up to Masters Degree, our primary focus is on improving your scores and exceeding the expectations of every student who joins us.

SYLLABUS

Mechanics of Solids

Course No.

Course Name

L-T-P – Credits

Year of Introduction

CE201

MECHANICS OF SOLIDS

3-1-0-4

2016

 

Pre requisite: BE 100 Engineering Mechanics

 

Course Objectives: To enable the students to calculate stresses and strains generated in material due to external loads for various types of loading conditions

 

Syllabus: Concept of stress. Concept of strain. Stress-strain relations. Calculating internal forces (Normal force, shear force and bending moment diagrams) Behavior of axially loaded members. Behavior of members subjected to bending moments. Behavior of circular members subjected to Torsion. Shear stresses in beams. Transformation of plane stresses. Mohr circle. Concept of design of beams. Buckling of columns. Indeterminacy.

 

Expected outcome .                         

1.  Ability to calculate internal forces in members subject to axial loads, shear, torsion and bending and plot their distributions

2.  Ability to calculate normal, shear, torsion and bending stresses and strains

3.  Ability to transform the state of stress at a point and determine the principal and maximum shear stresses using equations as well as the Mohr’s circle

4.  Understanding of column buckling and ability to calculate critical load and stress

 

Text Books:

1.      Timoshenko , Strength of Materials Vol. I & Vol. II , CBS Publishers & Distributers, New Delhi

2.      Rattan, Strength of Materials 2e McGraw Hill Education India 2011

 

Data Book ( Approved for use in the examination): Nil

 

References:

1.        Crandall, An Introduction to Mechanics of Solids 3e McGraw Hill Education India 2014

2.        Egor P Popov , Mechanics of solids, Prentice Hall of India, New Delhi

3.        M.L. Gambhir, Fundamentals of structural Mechanics and analysis, Prentice Hall India

4.        Stephen H Crandall, N C Dahi, Thomas J L, M S Sivakumar, an introduction to Mechanics of Solids , McGraw hill Education, 3rd edition

5.        Cheng, Statics and Strength of Materials 2e McGraw Hill Education India 2013

6.        Hearn E.J., Mechanics of Materials, Pergamon Press, Oxford

7.        Nash W A, Strength of Materials (SIE) (Schaum’s Outline Series) 5e McGraw Hill Education India 2010

8.        Rajput R.K. Strength of Materials, S.Chand&company Ltd., New Delhi

9.        James M Gere & Stephen P Timoshenko , Mechanics of Materials , CBS Publishers & Distributers, New Delhi

10.   Punmia B. C., A. K. Jain and A. K. Jain, Mechanics of Materials, Laxmi Publications(P) Ltd, New Delhi

 

 

 

 

 

 

 

Course Plan

Module

Contents

Hours

Sem. Exam

Marks

 

 

I

Review of Statics

Types of external loads – internal stresses – normal and shear stresses – strain – Hooke’s law – working stress – stress strain diagrams – Poisson’s ratio – relationship between elastic constants

 

 

9

 

 

15%

 

II

Elongation of bars of constant and varying sections – statically indeterminate  problems in  tension and compression

–Temperature   effects  –   strain   energy  and complementary

energy-strain energy due to tension, compression and shear

 

9

 

15%

FIRST INTERNAL EXAMINATION

 

 

III

Bending Moment & Shear force: Different types of beams- various types of loading –Relationship connecting intensity of loading , shearing force and bending moment- shear force and bending moment diagrams for cantilever beams and Simply

supported beams for different types of loading.

 

 

9

 

 

15%

 

 

IV

Stresses in beams of symmetrical cross sections:

Theory of simple bending –assumptions and limitations – Normal stresses in beams- Moment of resistance – beams of uniform strength – beams of two materials – strain energy due to bending – shearing stresses in beams.

 

 

9

 

 

15%

SECOND INTERNAL EXAMINATION

 

 

 

V

Analysis of stress and strain on oblique sections:

Stress on inclined planes for axial and biaxial stress fields – principal stresses – Mohr’s circle of stress

Thin and Thick Cylinders: Stresses in thin cylinders – thick cylinders – Lame’s equation – stresses in thick cylinders due to internal and external pressures

Torsion: Torsion of solid and hollow circular shafts.-Pure shear- strain energy in pure shear and torsion.

Springs: Close coiled and open coiled helical springs.

 

 

 

9

 

 

 

20%

 

 

 

VI

Deflection of statically determinate beams: Differential equation of the elastic curve – Method of successive integration, Macaulay’s method, Method of superposition, moment area method.

Theory of columns: Direct and bending stresses in short columns- Kern of a section. Buckling and stability-Euler’s buckling/crippling load for columns with different end conditions- Rankine’s formula

 

 

 

11

 

 

 

20%

END SEMESTER EXAM

 

 

WhatsApp chat