The hydraulic cylinder as shown in Figure Q1 has a bore diameter of 75 mm. The point E of the piston rod is pinned to a shield and the other end can be assumed fixed. When fully extended, the length L is 2 m. The cylinder was designed to operate at a hydraulic pressure of 20 MPa with a safety factor of 4 for the rod. The rod?s material has modulus of elasticity of 200 GPa. Solve each of the requirement below:

1. Determine the working load on the piston rod,

2. Evaluate the critical load on the piston rod,

3. Identify the rod diameter, d, with the assumption that Euler?s theory is applicable,

4. Examine the slenderness ratio of the rod.

20 MPa [ d = 75 mm E