A flanged bolt coupling is used to connect a solid shaft 89 mm in diameter to a hollow shaft 100 mm in outside and 89 mm in inside diameter. If the allowable shearing stress in the shafts and the bolts is 66.2 MPa, how many 10-mm-diameter steel bolts must be used on a 191-mm- diameter bolt circle coupling so that the coupling will be as strong as the weaker shaft? Round off the final answer to three decimal places.

A solid steel shaft of circular cross-section has diameter 50 mm, length 1,028 mm and shear modulus 79.3 GPa. If the allowable shear stress is 36 MPa and the allowable angle of twist is 1.9°, determine the maximum permissible torque. Give your answer in Nm to 1 decimal place.

An extension spring made from A313 stainless steel has a mean coil diameter of 10.00 mm and spring wire diameter of 1.38 mm with 72 body coils. If the spring has full twisted loop ends (hook and body have the same diameter), determine the factor of safety for end hook bending under a 21.5 N service load. Round your answer to 3 decimal places.

Please solve, include the diagrams, and do not copy from other bartleby answers.  Handwritten solution is more preferred than typed. A flanged bolt coupling connects two shafts. The bolt circle diameter is 250 mm in which there are 12 bolts. The allowable shear stress is 56 MPa in the shafts and 22 MPa in the bolts. One shaft is hollow with outside diameter of 100 mm, while the other one is solid of diameter 50 mm. Determine the ratio of the outside and inside diameter of the hollow shaft and the bolt diameter so that both shafts and the flanged bolt coupling are having the same strength in torsion.