The rigid bars shown are separated by a roller at C and pinned at A and D. A steel rod at B helps support the load of P = 53 kN. Compute the vertical displacement of the roller at C. Given: a = 1 m, b = 2 m, c = 4 m, d = 1.8 m, E = 201 GPa, A = 325 mm2 and L = 2 m. Answer must be in mm. a C

The beam shown here is made of wood with an allowable shear stress of τall = 1100 psi. If PB = 5 kips, determine the maximum allowable force PC that can be applied on the structure before the beam fails in shear.[LAB= 2 ft, LBC= 2 ft, LCD= 1.5 ft, b = 1.25 in., h = 7 in.]     Determine the maximum value of the first moment of area (Q) for the beam. (in^3) Determine the maximum allowable force at C (PC) that can be applied on the structure before it fails in shear. (kips)

A simple torsion-bar spring is shown. The shear stress in the steel [G = 11,500 ksi] shaft is not to exceed 11800 psi, and the vertical deflection of joint D is not to exceed 0.600 in. when a load of P = 2900 lb is applied. Neglect the bending of the shaft and assume that the bearing at C allows the shaft to rotate freely. Determine the minimum diameter required for the shaft. Use dimensions of a = 92 in., b = 40 in., and c = 34 in.

A simple torsion-bar spring is shown.  The shear stress in the steel [G = 11,500 ksi] shaft is not to exceed 9600 psi, and the vertical deflection of joint D is not to exceed 0.650 in. when a load of P = 2800 lb is applied.  Neglect the bending of the shaft and assume that the bearing at C allows the shaft to rotate freely.  Determine the minimum diameter required for the shaft.  Use dimensions of a = 62 in., b = 22 in., and c = 24 in.