Strength of Materials Syllabus

Strength of Materials Syllabus

  1. Introduction to Strength of Materials

    • Importance and applications in mechanical engineering
    • Concepts of stress and strain
    • Types of stresses and strains
    • Stress-strain diagrams
    • Elasticity and plasticity of materials
    • Hooke’s Law and modulus of elasticity

  2. Mechanical Properties of Materials

    • Tensile testing
    • Compressive testing
    • Shear testing
    • Hardness testing
    • Impact testing
    • Fatigue testing
    • Creep testing
    • Ductility and brittleness
    • Toughness and resilience
    • Yield strength, ultimate strength, and failure criteria
    • Material selection for mechanical design

  3. Stress and Strain Analysis

    • Normal stress and strain
    • Shear stress and strain
    • Deformation of solids
    • Axial loading and thermal stress
    • Poisson’s ratio
    • Thermal stress and strain
    • Combined stresses
    • Stress concentration factors
    • Factor of safety

  4. Principal Stresses and Strains (Mohr’s Circle)

    • Plane stress and plane strain
    • Principal stresses and principal planes
    • Mohr’s Circle for plane stress and plane strain
    • Principal strains and strain compatibility

  5. Shear Force and Bending Moment Diagrams

    • Introduction to shear force and bending moment
    • Calculation of shear force and bending moment in beams
    • Sign convention for shear force and bending moment
    • Determination of support reactions
    • Plotting shear force and bending moment diagrams
    • Point of inflection

  6. Bending Stresses in Beams

    • Flexural formula
    • Bending stress distribution in beams
    • Neutral axis and moment of inertia
    • Simplified bending stress formulae
    • Composite beams
    • Shear center and shear flow

  7. Shear Stresses in Beams

    • Shear stress distribution in beams
    • Shear flow and shear center
    • Shear stress due to torsion
    • Shear stress due to bending and torsion combined

  8. Torsion of Shafts

    • Torsional deformation and stress distribution
    • Torsional shear stress and shear strain
    • Torsional rigidity and polar moment of inertia
    • Power transmission in shafts
    • Torsional vibrations

  9. Pressure Vessels (Thin Cylinder)

    • Thin-walled cylindrical pressure vessels
    • Stress analysis in thin cylindrical shells
    • Hoop stress and longitudinal stress
    • Design of pressure vessels
    • Failure analysis of pressure vessels

  10. Deflection of Beams

    • Differential equation of the elastic curve
    • Slope and deflection by integration
    • Area-moment method
    • Moment-area method
    • Virtual work method
    • Calculation of deflection in beams

  11. Strain Energy

    • Strain energy and resilience
    • Strain energy due to axial deformation
    • Strain energy due to torsion
    • Strain energy due to bending
    • Strain energy due to shear

  12. Theories of Failure

    • Maximum shear stress theory
    • Maximum normal stress theory
    • Maximum principal stress theory
    • Strain energy theory
    • Failure criteria for ductile and brittle materials

  13. Euler’s Theory of Columns

    • Introduction to column buckling
    • Euler’s column formula
    • Effective length of columns
    • Slenderness ratio
    • Critical buckling load
    • Modes of buckling
    • Column design and stability

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