The bar of negligible weight is supported by two springs,each having a stiffness k = 80 N>m. If the springs are originally unstretched, and the force is vertical as shown,determine the angle theta the bar makes with the horizontal,when the 45- N force is applied to the bar. k -1.5 m 3 m В k 45 N

*4-84 The rod is made of A-36 steel and has a diameter of 0.25 in. If the springs are compressed 0.5 in. when the tem- perature of the rod is T = 40°F, determine the force in the rod when its temperature is T = 160°F. k= 1000 lb/in. MM- 4ft k = 1000 lb/in. WW

The solid 32 mm diameter steel [E = 200 GPa] shaft supports two belt pulleys. Assume that the bearing at B can be idealized as a roller support and that the bearing at D can be idealized as a pin support. For the loading shown, determine: (a) the shaft deflection at pulley A. (b) the shaft deflection at pulley C. Assume P = 500 N, Q = 1000 N, LAB = 600 mm, LBC = 800 mm, LCD = 800 mm.