The diagram below shows a microscopic metal rod with a single crystal structure whose orientation is indicated by the inset. A force of F = 14.9 N is applied to the rod. The cross-sectional area is 1.1 mm². Calculate the shear stress along the close-packed direction.

A brass rod is 3 m long at temperature of 15oC. Find the expansion of the rod, when the temperature is raised to 50oC. If this expansion is prevented, find the stress induced in the material of the rod. You will need to research suitable values for α and E

A composite section 2 m in length, consisting of a steel tube with outer diameter 24 mm and thickness 3 mm, encloses a solid copper bar 18 mm diameter. An axial compressive load of 250 KN is applied on the assembly. Young’s modulus for steel and copper are taken as 2 x 105 N/mm2and 1 x 105N/mm2respectively. Calculate the stresses developed in steel and copper. Also calculate the load taken by both the materials.

Problem 2. A block of cast iron was wrapped in the thin aluminum foil as shown on the figure. At room temperature there is no stress on the foil. The whole system is then immersed in liquid nitrogen at -196°C. Find the stress on the aluminum foil. Is the foil going to deform permanently? Is it going to break? Stress [MPa] 350 300 250 200 150 100 50 0 0 alu alloy 5083-H34 0.005 0.01 0.015 0.02 Strain Aluminum foil 5 µm thick, this is a continuous strip with the ends welded together Cast iron 20 mm thick a aluminum = 2.4 105 K-¹, Stress MPa 400 300 200 100 a iron 1.2 105 K-1 ↑ 11 0 0 0.05 0.1 0.15 0.2 0.25 Strain Fig. 2. Stress-strain diagrams for aluminum. Left: Low strain region. Right: Full strain range. Hint: you can get the Young's modulus, proportions limit (elastic limit), and break point from the graphs.