STRENGTH OF MATERIALS- Syllabus

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)

 

 

  1. 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

 

 

  1. 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)

 

  1. 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

 

  1. HELICAL SPRINGS

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

 

Reply