The cylinder for a hydraulic press has an inside diameter of 300 mm and an outside radius of 260 mm. Find the maximum shear stress in the cylinder for an internal pressure of 221 MPa.

The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas of pressure of p. The state of stress at point "a" on the surface of the tank is represented by stress components with an unknown stress element rotation angle of 0. Note that, the two normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa and Oy = 180 MPa, but the shear stress component (T,) is unknown. Determine: (1) the principal stresses at point a ; (2) Tx'yı ; (3) rotation angle of 0 . y 180 MPa 120 MPа х 0 = ? a Tyy = ? tank cross section stress state at point a

3. A circular steel cylinder of external diameter 0.2 m and internal diameter 0.1 m is shrunk onto a circular aluminium alloy cylinder of external diameter 0.1 m and internal diameter 0.05 m, where the dimensions are nominal. Determine the radial and hoop stresses at the bores and outside surfaces, such that when there is an internal pressure (retained by end caps) of 300 MPa, the maximum hoop stress in the inner cylinder is 150 MPa.

A single-piece bicycle crank is shown below under the following load: the rider pedals forward with a vertical force Fp = 500 N on the left pedal and no force on the right pedal. The chain exerts a force Fc on the chainring. The spindle is a solid cylinder with a diameter d = 16 mm. 1. Find the maximum normal stress and shear stress at cross-section y-y in image. Indicate the locations on the given cross section view where they act.