A spherical pressure vessel has an inside diameter of 4 m and a wall thickness of 15 mm. The vessel will be constructed from structural steel [E = 200 GPa; v = 0.29] that has a yield strength of 203 MPa. If the internal pressure in the vessel is 1930 kPa, determine the factor of safety with respect to the yield strength. 1.58 2.21 O 1.30 O 1.45 O 1.13

Determine the change in the volume of a 10 cm diameter copper sphere that is subjected to a hydrostatic pressure of 120 MPa assuming linear elastic behavior up to this stress level. (V =4/3 n 13) (E: 125 GPa, v = 0.34, SY = 200 MPa)

A cylinder has an internal diameter of 230 mm, has walls 5 mm thick and is 1 m long. It is found to change in internal volume by 12.0 × 10-6 m³ when filled with a liquid at a pressure p. If E=200 GN/m² and v = 0.25, and assuming rigid end plates, determine: (a) the values of hoop and longitudinal stresses; (b) the modifications to these values if joint efficiencies of 45% (hoop) and 85% (longitudinal) are assumed; (c) the necessary change in pressure p to produce a further increase in internal volume of 15%. The liquid may be assumed incompressible.

Determine the stress in each section of the bar shown below, which is subjected to an axial tensile load of (20KN). The central section is 30 mm Square cross -Section; the other portions are of circular section, their diameters being indicated. what will be the total extension of the bar? For the bar material (E = 210 GN/m²). 250 100 400 mm * * ↓ 20KN 20 KN ↓ 20 0 2 30mm 3 115