Determine the change in length, width and thickness of steel bar which is 4m long, 30mm wide and 20mm thick and is subjected to an axial pull of 30 kN in the direction of length. Take E = 200 GPa and poison's ratio of 0.3. Also determine the volumetric strain and change in volume.

Q3

Determine the stress resultants N(x), V(x), M(x) and draw the diagrams of the stress resultants and calculate the extremal values. At first, consider all parameters (F, a, L, ...) as variables and fill in their actual values at the end of your calculation.

Determine the total strain energy and total potential energy in terms of the Prandtl stress function for torsion in a bar of length L and general cross-section A.