Stress in copper and stress in steel Consider a rectangular slab of copper [1 ti
ID: 1920461 • Letter: S
Question
Stress in copper and stress in steel
Consider a rectangular slab of copper [1 times 4 times 20 inches] and a rectangular slab of steel [2 times 4 times 20 inches]. The copper slab is cooled to a temperature of -300 degree F and the steel slab is heated to a temperature of 500 degree F. Before the temperatures of the two slabs are allowed to change, the slabs are pinned together and the assembly allowed to come to room temperature 70 degree F. Calculate the stress in the copper and the stress in the steel when the assembly reaches room temperature.Explanation / Answer
a. stress in steel = Ssteel
Ssteel = Area * young's modulus of steel * change in length
= 8 sq inch * young's modulus of steel * length * temperature co-efficient * change in temperature
= 8 sq inch * young's modulus of steel * 20 inch * temperature co-efficient * 430
b. stress in copper = Scopper
Scopper = Area * young's modulus of copper * change in length
= 4 sq inch * young's modulus of copper * length * temperature co-efficient * change in temperature
= 8 sq inch * young's modulus of copper * 20 inch * temperature co-efficient * 370