Question

Q5). (17 pts). The circular Brass rod having a an inner radius r 8 mm and an outer radius = 10 mm, is pinned at each end to the centers of two Brass links, which have a width of 40 mm and a thickness of 12 mm (into the paper). If the temperature of the Brass rod is increased by 45 °C, determine; a) the normal stress in the Brass rod, b) the net change in the length of the Brass rod. L = 1.5 m, L.-0.25 m E, = 105 GPa , α,-20.9 10-6 /"C

Answer 1

the rod which is attached to the bar is pin joint which work as point load due to thermal expansion

these images explains

as ekrao uothe equation ton sthessơ-Exe a) nou, once applied on ventcel mense 4 ×10 eama anel opeosite point loud due to expunsion bussod et's tind deslection due to this point O.zs と Fonc e 0.2S ad on a Bixed beam momen 2 9 a b
but the point load is at mid of beam
-12 나 ie
so deflection is 6.04*10^-4 meter

so change in length is 1.208*10^-3 m