Time: 2.5 Hours; Marks: 50

1. Properties of Materials (5)

  • Classification of materials, elastic materials, plastic materials, ductile materials, brittle materials.
  • Tensile test, compressive test, impact test, fatigue test, torsion test.

2. Simple Stresses and Strains (10)

  • Concept of stress, normal and shear stresses, stresses due to torsion.  Concept of strain, strain and deformation, longitudinal and transverse strain, poison’s ratio, volumetric strain.
  • Hook’s Law, modulus of elasticity and rigidity, Bulk modulus of elasticity, relationship between the elastic constants.
  • Stresses and strains in bars subjected to tension and compression. Extension of uniform bar under its own weight, stress produced in compound bars (two or three) due to axial load.
  • Stress-Strain diagram for mild steel, mechanical properties, factor of safety.
  • Temperature stresses and strains.

3. Bending Moment and Shear Force (5)

  • Concept of a beam and supports (Hinges, Roller and Fixed), types of beam: simply supported, cantilever, fixed and continuous beam.
  • Types of loads (point, uniformly distributed and varying loads).  Concept of bending moment and shear force, sign conventions.
  • Bending Moment and shear force diagrams for cantilever, simply supported subjected to concentrate, uniformly distributed load (simple numerical may be given).

4. Bending and Shear Stresses (5)

  • Theory of simple bending with assumptions.
  • Application of the equation M/I = F/Y = E/R (No derivation).
  • Moment of resistance, sectional modulus and permissible bending stresses in (c5*) circular, rectangular, I, T, and L sections; Concept of shear stresses in beam, shear stress distribution in rectangular, I, and T section (Formula to be stated, no derivation), (simple numerical may be given).

5. Columns (10)

  • Theory of columns, Euler’s critical load, empirical design formulae, Rankin’s, formulae.

6. Combined Direct and Bending Stresses (5)

  • Concentric and eccentric loads, eccentricity.
  • Effect of eccentric load on the section, stresses due to eccentric loads, examples in the case of short columns.

7. Analysis of Trusses (10)

  • Concept of a frame, redundant and deficient frame, and supports.
  • Analysis of determinate trusses by
    • (i) Method of joints.
    • (ii) Methods of sections.