Strength of Materials
Course Objectives:
The purpose of the course is to provide the students for basic knowledge in material behavior, stressstrain relations and their analysis. During the course, students will review on mechanics first and obtain knowledge in stressstrain relations, their types. At the end students will have basic concept on theory of flexure and column buckling.
 Axial Forces, Shearing Forces and Bending Moments (8 hours)
 Plotting shearing force, bending moment and axial force diagrams for determinate structures (beams and frames)
 Concept of superposition for shear forces, bending moments and axial forces due to various combinations of loads
 Maximum shear force and bending moments and their positions
 Relationship between loads, shear forces, bending moment
 Geometrical Properties of Sections (7 hours)
 Axes of symmetry
 Centre of gravity of builtup plane figures
 Centre of gravity of builtup standard steel sections
 Moment of inertia of standard and builtup sections
 Polar moment of inertia
 Radius of gyration
 Product of inertia
 Principle moment and principle axes of inertia
 Moher’s circle for moment of inertia
 Simple Stress and Strain (8 hours)
 Definitions: deformable Bodies, internal forces, stress, strain
 Analysis of Internal forces
 Simple stress and strain
 Hook’s law: axial and typical stress strain diagram for characteristics of mild steel
 Poisson’s ratio
 Stressstrain diagram
 Axial stress and strain
 Shear stress and strain
 Shear deformation and shear angle
 Hook’s law for shearing deformations
 Allowable stresses and factor of safety
 Stress concentrations
 Relationships between elastic constants
 Stress and Strain Analysis (6 hours)
 Stresses in inclined plane: normal and shear stress
 Principle stresses and principle planes
 Relationships between normal and shear stress
 Maximum shear stress and corresponding plane
 Mohr’s circle for stress
 Thin Walled Vessels (3 hours)
 Definition and characteristics of thin walled vessels
 Types of stresses in thin walled vessels
 Calculation of stresses in thin walled vessels
 Torsion (4 hours)
 Introduction and assumptions
 Derivation of torsion formulas
 Torsional moments in shaft
 Torsional stress in shaft
 Angle of twist
 Theory of Flexure (5 hours)
 Coplanar and pure bending
 Elastic curve
 Angle of rotation
 Radius of curvature, flexural stiffness
 Small deflection theory
 Bending stress
 Flexural formula, differential equation of deflected shape
 Introduction to deflection
 Column Theory (4 hours)
 Theory of columns according to support systems
 Critical load
 Long column by Euler’s formula
 Limitations of Euler’s formula
 Intermediate columns; empirical formulas
Practical:
 StressStrain Curve in tension
 Torsion test to determine modules of rigidity
 Column behavior due to buckling
 Deflection of simple beam
Tutorials:
8 tutorials, 2 mini projects
References:
 Timoshenko and Gere ‘Mechanics of Materials”,
 Beer F.P. and E.R. Johnston “Mechanics of Material”,
 E.P. Popov “Mechanics of Material”, , 2nd Edition, New Delhi, Prentice Hall of India
 A.Pytel, F.L. Singer ‘Strength of Materials”, 4th Edition, Harper Collins, India, 1998
Evaluation Scheme:
The questions will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
Chapters 
Hours 
Marks Distribution* 
1 
8 
16 
2 
7 
12 
3 
8 
16 
4 
6 
8 
5 
3 
6 
6 
4 
6 
7 
5 
8 
8 
4 
8 
Total 
45 
80 
*Note: There may be minor deviation in marks distribution.
