## COURSE OBJECTIVES

• To understand fundamentals regarding Mechanics of Solids.
• To develop ability of students to carry out analysis of complex state of stress.
• To familiarize students about the failure modes of materials.
• To enhance skills of utilizing materials of appropriate strength for civil engineering applications.

### COURSE LEARNING OUTCOMES (CLO)

CLO: 1. to explain concepts of stresses, strains, and related theories and to apply concepts of stresses, strains, and related theories in simple problems of Mechanics of Solids.
CLO: 2. to measure the stresses in structural members of different materials(e.g. steel, concrete etc.) subjected to different loadings.
CLO: 3. to clarify concepts of stresses, strains, and related theories in simple problems of Mechanics of Solids.
CLO: 4. to perform calculations using software (MS Excel, RISA etc) for the stresses in structural members of different materials subjected to different loadings

## COURSE CONTENTS

1. Stress, Strain and Mechanical Properties of Materials
• Uniaxial state of stress and strain
• Relationships between elastic Constants
• Response of materials under different sets of monotonic loading (including impact)
• Normal and shearing stress and strains
• Distribution of direct stresses on uniform and non-uniform members
• Thermal stresses and strains
• Difference between stress and pressure
• Lateral strain, Volumetric Strain, Poisson’s Ratio,
2. Bending Theory
• Relationship between load, shear force and bending moment
• Theory of bending
• Moment of resistance and section modulus
• Application of flexural formula,
• Bending and shearing stress distribution in beams
• Stresses in composite sections
3. Spring and strain energy
• Open coil springs
• Closed coil Spring
• Leaf springs
• Strain Energy due to direct loads, shear force, bending moments, torque and impact loads.
4. Theory of Torsion
• Theory of torsion of solids and hollow circular shafts
• Shearing stress distribution, angle of twist, strength and stiffness of shaft
5. Stress and Strain Transformations
• Biaxial state of stresses
• Resolution of stresses
• Principal plane, principal stresses and strains
• Graphical representation of stress and strains, Mohr’s circle of stresses and strains
6. Theory of Plasticity
• Plastic limit analysis for ductile materials and
• Plastic limit analysis for brittle materials
• Collapse mechanism
7. Theory of Elasticity
• Analysis of stresses and strains due to combined effect of axial, bending and twisting forces/moments
• Stress and deformation relationships
8. Enhanced Topics Related to Beam Bending and Shear
• Unsymmetrical bending
• Analysis of Curved Beam
• Shear center and shear flow
• Introduction to circumferential and radial stresses in curved beams,
• Correction of Circumferential Stress in curved beams having I, T-cross section
9. Fatigue: