Strength of Materials
Course Objective:
To analyze and solve problems related to different types of stress and strain and to design basic components of structure and machines on the basis of stiffness, strength and stability.
 Introduction(2 hours)
 Types of Stresses and strains
 Normal stress, shear stress, bearing stress
 Normal strain, shear strain
 Ultimate stress, allowable stress, factor of safety
 Stress and strain – axial load(6 hours)
 Stress – strain diagram
 Hooke's law, modulus of elasticity
 Deformation under axial load
 Temperature effects
 Poisson’s Ratio
 Multiaxial loading, Generalized Hooke’s Law
 Bulk Modulus
 Shearing Strain
 Relationship among modulus of elasticity, shear stress and Poisson’s ratio
 Stress Concentration and Plastic Deformation
 Statically Indeterminate problems
 Pure Bending(5 hours)
 Introduction of pure or simple bending
 Deformation of a symmetric member in pure bending in elastic range. (Relationship between transverse loads, bending moment and bending stresses, position of neutral axis and neutral layer)
 Beams with composite section.
 Stress concentration, plastic deformation
 Eccentric axial loading
 Unsymmetrical loading.
 Torsion(5 hours)
 Introduction Torque, Shaft, Torsion
 Stress and deformation in a uniform shaft in elastic range
 Torsion moment diagram.
 Torsion formula for circular crosssection
 Statically Indeterminate Shaft
 Design of Transmission of shaft (by strength and stiffness)
 Comparison between hollow and solid shaft.
 Shafts in series and parallel
 Composite shafts
 Stress concentrations in circular shafts.
 Transverse loading(3 hours)
 Basic assumptions and distribution of normal stress.
 Relationship between shear stress and shear force in a beam.
 Distribution of Shear stress in common beam sections.
 Transformation of stress and strain(6 hours)
 Uniaxial stress system, biaxial stress system, pure shear stress system.
 General plane stress system, principal stresses, maximum shearing stress, principal planes
 Graphical method: Mohr’s circle for plane stress
 Application to three dimensional state of stress
 Yield criteria for ductile and brittle material.
 Deflection of Beams by Integration Method(6 hours)
 General deflection equation for beams.
 Deflection equation for beams with different end conditions.
 Method for superposition.
 Deflection in statically indeterminate beams.
 Direct determination of the elastic curve from the loaddistribution.
 Deflection of Beams by Moment area Method(4 hours)
 Moment Area Theorems.
 Application to symmetrical structure and symmetrical loading, unsymmetrical structure and symmetrical loading, symmetrical structure and unsymmetrical loading.
 Maximum deflection in beams.
 Design of Beams and shafts(5 hours)
 Basic Consideration for the design of prismatic beams ( for ductile, brittle material and for short and long beam)
 Principal stresses in beams
 Design of prismatic beams
 Columns(3 hours)
 Introduction: Strut, column, buckling load
 Euler’s formula for different end conditions.
 Design of columns under central and eccentric loading.
Practical:
 Material Properties in simple bending and compression test.
 Torsion test: Behavior of ductile and brittle materials in torsion, shear modulus
 Stresses and strains in thin wall cylinders
 Column behavior and buckling: effect of end conditions on buckling load of beams.
 Beam reactions: Relationship between deflection and transverse load, end conditions, Young’s modulus of elasticity, moment of inertia
References:
 F.P. Beer and E. R. Johnson, “ Mechanics of Materials”, McGraw Hill,
 R.K. Rajput, “ Strength of Materials”, S.chand & Co. Ltd.,
 E. P. Popov, “ Engineering Mechanics of Solids”, Prentice Hall Inc., Englewood Cliffs, N. J.
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 
Mark distribution * 
1&2 
8 
16 
3 
5 
8 
4 
5 
8 
5 
3 
8 
6 
6 
12 
7&8 
10 
16 
9 
5 
8 
10 
3 
4 
Total 
45 
80 
*Note: There may be minor deviation in mark distribution
