STRENGTH OF MATERIALS

1. STRESS AND STRAINS

   • Concept of load, stresses and strains

   • Tensile, compressive and shear stresses and strains

   • Concept of elasticity, elastic limit and limit of proportionality

     • Hook’s law
     • Young’s modulus of elasticity
     • Nominal stress
     • Yield point, plastic stage
     • Strain hardening
     • Ultimate strength and breaking stress
     • Percentage elongation
     • Proof stress and working stress
     • Factor of safety
     • Lateral strain, Poisson’s ratio
     • Volumetric strain
     • Shear modulus
     • Strain energy due to direct stresses
     • Proof resilience and modulus of resilience

   • Stresses due to gradual, sudden and falling load

     • Longitudinal and circumferential stress in seamless thin walled cylindrical shells (derivation of these formulas not required)

2. BEAMS AND BENDING STRESSES

• • Bending and shearing force

    • Concept of beam, form of loading
    • Concept of end-supports- roller, hinged and fixed
    • Concept of bending moment and shearing force
    • BF and SF diagram for cantilever and simply supported beam with and without overhang subjected to concentrated and uniformly distributed load (UDL)

  • Bending Stresses

    • Concept of bending stresses
    • Theory of simple bending
    • Use of equation M/I = σ/y = E/R
    • Concept of moment of resistance
    • Bending stress diagram
    • Calculation of maximum bending in beams of rectangular, circular and I section
    • Permissible bending stress, section modulus for rectangular, circular and symmetrical I section
    • Comparison between I, rectangular and circular section with regard to the strength

  • Slope and Deflection

    • Simple cases of slope and deflection in simply supported beam with UDL over whole of the length and a point load at the center
    • Cantilever with UDL on whole length and a point load at the end (without derivation)
    • Simple problems

  • Laminated spring (Semi elliptical type only)

    • Determination of number of plates
    • Maximum bending stress and deflection

  • Combined direct and bending stresses

    • Simple cases of short columns of uniform section subject to eccentric loading with stress diagram

3. COLUMNS

   • Concept of column, modes of failure
   • Types of column
   • Buckling load, crushing load
   • Slenderness ratio
   • Factors affecting strength of a column
   • End restraints
   • Effective length
   • Strength of column by Euler formula without derivation
   • Rankine Gordon formula (without derivation)

4. TORSION

   • Concept of torsion, difference between torque and torsion
   • Derivation and use of torsion equation T/J = τ/R = Gθ/L for circular shaft
   • Shear stress diagram for solid and hollow circular shaft
   • Comparison between solid and hollow shaft with regard to their strength and weight
   • Power transmitted by shaft
   • Concept of mean and maximum torque

5. HELICAL SPRINGS

   • Closed coiled helical springs subjected to axial load
   • Stress deformation
   • Stiffness and angle of twist and strain energy
   • Failing load on springs