A cylinder with a 0.30-m inner diameter and a 0.40-m outer diameter is internally pressurized to 100 MPa. Determine the maximum shear stress at the outer surface of the cylinder.

4-87 Nine 4-in.-diameter steel (E = 30,000 ksi) rein- forcing bars were used when the short concrete (E = 4500 ksi) pier shown in Fig. P4-87 was constructed. After a load P of 150 kip was applied to the pier, the temperature increased 100°F. The coefficients of ther- mal expansion for steel and concrete are 6.6(106)/°F and 6.0(106)/°F, respectively. Determine (a) The normal stresses in the concrete and in the steel bars after the temperature increases. (b) The change in length of the pier resulting from the combined effects of the temperature change and the load. 10 in. 10 in. P = 150 kip Rigid cap 24 in.

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.

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