Find the section modulus of shaft having 2.5 in diameter. A 3.07 in B. 4.56 in C 5.45 in D. 8.46 in

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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.

e) moment of inertia about the horizontal centroidal axis for the whole section. Enter your answer in mm4 to 2 decimal places.

A shaft is 21/2 in. square, and the allowable shearing unit stress for the material is 6000 psi. The torque on the shaft is A. 27,600 in B 20,800 in C. 31,200 in D. 24,100 in

Please help. This problem involves moment of inertia on a cross-section. Thank you.