A torque-to-yield bolt connects two solid cylindrical shafts, Shaft A and Shaft B, in a mechanical system. The bolt has a diameter of 10 mm and is tightened using a torque wrench. The yield strength of the bolt material is 500 MPa. The length of the engaged bolt is 100 mm.

1. Determine the maximum allowable torque that can be applied to the bolt without causing the bolt material's permanent deformation (yielding).

2. Calculate the torsional and shear stress acting on the bolt when the maximum allowable torque is applied.

3. Determine the strain in the bolt material under the maximum allowable torque.

4. Calculate the normal force acting on the bolt due to the applied torque.

Please draw figures, free body diagrams and be as detailed as possible listing equations used.