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. (C3)
CLO: 2. to measure the stresses in structural members of different materials (e.g. steel, concrete etc.) subjected to different loadings. (C4)
CLO: 3. to clarify concepts of stresses, strains, and related theories in simple problems of Mechanics of Solids. (A2)
CLO: 4. to perform calculations using software (MS Excel, RISA etc) for the stresses in structural members of different materials subjected to different loadings (C3)

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:
    • Fatigue due to cyclic loading
    • Discontinuities and stress concentration
    • Corrosion fatigue,
    • Low cyclic fatigue
    • ɛ-N relations
  10. Application of Mechanics of Solid in Civil Engineering Applications
    • Energy methods-General area of application and its usefulness.
    • Use of stress strain curve for selection of materials