Strength of Material (ME-304) - Important Questions

Two rods, one of steel and the other of aluminium, connected in parallel carry a total axial load. Find the stress in each rod given the loads, cross-sectional areas/lengths and elastic moduli, using equal deformation condition.

Draw and explain the stress-strain diagram for mild steel, marking salient points.

A steel bar of given length and diameter is subjected to a gradual axial tensile load. Determine the strain energy stored in the bar. Take E as given.

In a tensile test the elongation under a pull and in a torsion test the angle of twist under a torque are observed for the same specimen. Evaluate Poisson's ratio and the three elastic moduli E, G and K from the data.

For an element subjected to tensile stresses on two mutually perpendicular planes with shear stress, draw Mohr's circle and determine the magnitudes and directions of principal stresses and the maximum shear stress.

A simply supported beam of given section fails under a central point load. Using the same failure stress, find the uniformly distributed load that causes failure of a cantilever beam of given size.

Draw shear force and bending moment diagrams for the given cantilever beam with point and uniformly distributed loading.

Describe the bending of composite sections and derive the expression for bending stress.

Explain the advantages of hollow shafts over solid shafts for power transmission applications.

Derive the torsion equation T/J = tau/r = G.theta/L for a circular shaft under torsion, stating assumptions.

A bolt is subjected to an axial pull and a transverse shear force. Determine the diameter of the bolt required based on theories of failure.

Derive the expression for distortion energy per unit volume under principal stresses sigma_a, sigma_b, sigma_c and obtain the Von Mises failure condition.

Discuss selection of appropriate theories of failure for ductile and brittle materials under different loading conditions such as static, biaxial and combined bending-torsion.

Calculate Euler's buckling / crippling load or safe central load for a column of given section, length and end condition using Euler's formula for columns.

Write short notes on any two of the following: (i) Rankine's formula for columns, (ii) Slenderness ratio and its significance, (iii) Maximum shear strain energy theory, (iv) Equivalent length of column.