Two solid steel shafts are fitted with flanges that are then connected by bolts as shown. The bolts are slightly undersized and permit a 1.5° rotation of one flange with respect to the other before the flanges begin to rotate as a single unit. Knowing that G = 77.2 GPa, determine the maximum shearing stress in each shaft when a torque T of magnitude 580 N-m is applied to the flange indicated. The torque T is applied to flange C. (Round the final answers to two decimal places.) 30 mm 600 mm 36 mm T = 500 Nm 900 mm The maximum shearing stress in shaft AB is The maximum shearing stress in shaft CD is MPa. MPa.

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Sizing Joists and Rafters

In civil engineering and building construction, joists and rafters are the major components including beams and columns. Almost every structural construction including buildings, skyscrapers, bridges, commercial complexes, and so on makes use of joists and rafters to provide structural integrity to the building. Joists are primarily thick long pieces of metals, concrete, or wood that are used to support the floor and ceiling. On the other hand, rafters form the major component of pitched roofs, which are a series of sloped long pieces extending from a ridged area that makes contact with the plane area of the wall. They account for the load-bearing of the building along with the beams.