Strength of Materials and Theory of Structures
Course Objective:
To provide fundamental knowledge, concept and methods of analysis for solving problems related to different load conditions, stress and strains on structures and components. The students will be able to analyze, calculate and design basic components of structure and other engineering components on the basis of strength, stiffness and stability of the material
 Introduction (2 hours)
 Types of structure based on material used
 Statically determinate and indeterminate structures
 Stresses and Strains (3 hours)
 Definition of stresses and strains
 Relationship between stresses and strains
 Elastic and elastoplastic behavior under various stress loads
 Types and Characteristics of Stresses (2 hours)
 Ultimate stresses
 Allowable stresses and factor of safety
 Stress concentrations
 Elastic constants
 Stress and Strain Analysis (4 hours)
 Hooke’s law, modulus of elasticity, Poisson’s ratio and modulus of rigidity
 Deformation of axially loaded bar, generalized Hooke’s law
 Stresses due to change in temperature
 Theory of Flexure and Torsion (6 hours)
 Coplanar and pure bending
 Radius of curvature, flexural stiffness
 Elastic and plastic bending
 Beam deflection
 Definition of torsion
 Calculation of torsion stresses
 Introduction to Buckling (3 hours)
 Definition of buckling
 Euler’s formula for column with different end restraints
 Concept of effective length and slenderness ratio
 Deflection of Beam (8 hours)
 Strain energy and complementary strain
 Deflection by strain energy
 Curvature, slope and deflection
 Deflection by moment area method
 Deflection by conjugate beam method
 Influence Lines for Simple Structures (6 hours)
 Introduction to moving static loads
 Concept of Influence line
 Influence line diagram for reaction at supports, bending moments and shear force
 Determination of reactions, bending moments and shear forces using influence line diagram
 Statically Determinate Arches and Frames (6 hours)
 Types of arches and frames
 Three hinged arches with the support at the same level
 Determination of support reactions, shearing forces, axial forces, bending moments in arches and frames
 Statically Indeterminate Structures (12 hours)
 Types of indeterminate structures, static and kinematic indeterminancy
 Slope deflection method
 Moment distribution method
 Elementary Matrix Method (8 hours)
 Flexibility and stiffness matrix use for simple cases
Practical:
 Uniaxial tension test
 Torsion test
 Bending test
 Column behaviour
 Deflection of beams
 Measurement of reactions in three hinged arches under different loading arrangements
 Influence lines for beams
References:
 Gere and Timonsenko: Mechanics of Materials
 C.H.Norris, J.B Wilbur and S. Utku “ Elementary Structural Analysis” McGrawHill Book Co.
 E.P.Popov “Mechanics of Materials”, 2nd Ed., New Delhi, Prentice hall of India
 C.K.Wang “ Intermediate Structural Analysis”, McGraw Hill International 1989
Evaluation Scheme:
The question will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
Chapters 
Hours 
Marks Distribution* 
1,2 
5 
6 
3,4 
6 
8 
5,6 
9 
15 
7 
8 
10 
8 
6 
8 
9 
6 
8 
10 
12 
15 
11 
8 
10 
Total 
60 
80 
*Note: There may be minor deviation in marks distribution
