Axial Deformation | Strain | Mechanics of Materials

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Example (1):
The timber member has a cross-sectional area of 1750 mm2 and its modulus of elasticity is 12 GPa. Compute the change in the total length of the member after the loads shown are applied.
Example (2):
A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. Determine the maximum allowable value of P if the change in length of the bar is limited to 2 mm and the working stresses prescribed in the table are not to be exceeded.
Example (3):
A steel rod having a cross-sectional area of 300 mm2 and a length of 150m is suspended vertically from one end. It supports a tensile load of 20 kN at the lower end. If the unit mass of steel is 7850 kg/m3 and E=200 × 103 MN/m2, find the total elongation of the rod.
Ex: A mild steel bar rod of 20 mm diameter and 300 mm long is enclosed centrally inside a hollow copper tube of external diameter 30 mm and internal diameter 25 mm. The ends of the rod and tube are brazed together, and the composite bar is subjected to an axial pull of 40 kN. If E for steel and copper is 200 GPa and 100 GPa respectively, find the stresses developed in the rod and the tube. Also find extension of steel rod.