A spherical gas tank has an inner radius of r = 1.5 m. If it is subjected to an internal pressure of p = 420 kPa, determine its minimum required thickness if the maximum normal stress is not to exceed 12 MPa.

The gas storage tank is fabricated by bolting together two half cylindrical thin shells and two hemispherical shells as shown. If the tank wall has a thickness of 50 mm for cylindrical and hemispherical shells, The bolts were installed as 40 bolts/meter. The tank and the 25 mm diameter bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively. The tank has an inner diameter of 4 m. What is the maximum pressure that tank can contain.

A steel cable having a diameter of 0.4 in. wraps over a drum and is used to lower an elevator having a weight of 800 lb. The elevator is 150 ft below the drum and is descending at the constant rate of 3 ft>s when the drum suddenly stops. Determine the maximum stress developed in the cable when this occurs. Est = 29(103) ksi, sY = 50 ksi.

The storage capacity of a thin cylindrical pressure vessel is 0.028 m³. The cylinder is subjected to an internal pressure of 21 MPa. The length of the cylinder is twice its internal diameter. Determine all the dimensions of the cylinder, if (a) the longitudinal stress does not exceed 160 MPa; and (b) the circumferential stress does not exceed 235 Mpa.