Strength of materials UE Past Papers Questions.

A rectangular beam with cross sectional dimensions of 250mm (depth) and 150mm (width) is subjected to a maximum bending moment of 750kNm. UNder such loading determine

1. The maximu stress in the beam
2. The radius of curveture for that portion of the beam where the bending is maximum given the value of the Young`s Modulus of elasticity for the beam material is 200GPa.
3. The value of longitudinal stress at a distance of 65mm from the top surface of the beam.

Answer / Solution

UNSOLVED

A simply supported beam BCDF has the following dimensions: BC=15m, CD=15m, DF=30m. The beam carries a concetrated load of magnitude 200kN at point C and another one of magnitude 80kN at point D. In addition, there is a uniformly distributed load (UDL) of magnitude 10kN/m over the 30m length DF. The beam is simply supported at the point B and F and has a uniform cross section. Draw the shearing force and moment diagrams for this loading of the beam.

Answer / Solution

UNSOLVED

A horizontal beam of uniform cross sectional area is 6m long and is simply supported at its ends. Two vertical concentrated loads of magnitude 48kN and 40kN act at distances 1m and 3m respectively from the left end support. Given that E=200GPa and I=85x10^-6m⁴, determine the position and magnitude of the maximum deflection.

Answer / Solution

UNSOLVED

1. Explain the undestanding of statically indeterminate and statically determinate beams.
2. Define the Euler`s Formula for calculating the critical loads for a column or a strut stating any assumptions made in its derivation.
3. A solid round bar of 60mm diameter and 2.5m long is used as a strut. One end of the strut is fixed while its other end is hinged. Determine the safe compressive load for this strut using Euler`s formula Assume E=200GPa and the factor of safety=3.

Answer / Solution

UNSOLVED