(13) A 4-in diameter solid shaft is to be replaced with a hollow shaft equally strong and made of the same material. The outside diameter of the hollow shaft is to be 5-in. What should be the inside diameter for an allowable shearing stress of 6,000psi.

12. A steel shaft is 50 cm in length and has a circular cross section. It must be able to handle a torque of 10 N.m. and have an angle of twist of no more than 2°. (See Table 7.1 for value of shear modulus) (a) What is the minimum diameter of the shaft? (b) If instead a hollow steel shaft is used with an outer diameter of 2.0 cm, what is the inner diameter and the weight savings (as a percentage of the solid shaft weight), still for the same torque and angle of twist?

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A W310 x 52 beam is made with a material that has a maximum shearing stress of 90MPa. Determine the maximum shearing force. Show all work and don’t skip steps and show the cross-sectional diagram of W310 x 52 with all the numbers.