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• Nicole De Leon Miday

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Assignment No. 6 TORSION

(submission: May 11, 2016 Wednesday)

1. The 12 kN - m torque is applied to the free end of the 6-m steel shaft. The angle of rotation of the shaft is to be limited to 3deg. (a)Find the diameter d of the smallest shaft that can be used. (b) What will be the maximum shear stress in the shaft? Use G= 83 GPa for steel.

2. The torque of 100 kip - ft produces a maximum shear stress of 8000 psi in the 16-ft-long hollow steel shaft. Note that the inner diameter of the shaft is two-thirds of its outer diameter D. (a) Determine the outer diameter D (b) Find the angle of twist of the shaft. Use G = 12 x 10^6 psi for steel.

3. The compound shaft consists of bronze and steel segments, both having 120-mm diameters. If the torque T causes a maximum shear stress of 100 MPa in the bronze segment, determine the angle of rotation of the free end. Use G = 83 GPa for steel and G = 35 GPa for bronze.

4. Four pulleys are attached to the 50-mm-diameter aluminum shaft. If torques are applied to the pulleys as shown in the figure, determine the angle of rotation of pulley D relative to pulley A. Use G = 28 GPa for aluminum.

5. The ends of the compound shaft are attached to rigid walls. The maximum shear stress is limited to 10 000 psi for the bronze segment AB and 14 000 psi for the steel segment BC. Determine the diameter of each segment so that each material is simultaneously stressed to its permissible limit when the torque T = 16 kip ft is applied as shown. The shear moduli are 6 x 10^6 psi for bronze and 12 x 10^6 psi for steel.

Assignment No. 7 FLANGED BOLT COUPLING

(submission: May 11, 2016 Wednesday)

1. Six 20mm-diameter rivets fasten the plate as shown to the fixed member. Determine the average shearing stress caused in each rivet by the 14 kip loads. What additional loads P can be applied before the shearing stress in any rivet exceeds 10000 psi?

2. The plate shown is fastened to the fixed member by five 19-mm-diameter rivets. Compute the value of the loads P so that the average shearing stress in any rivet does not exceed 80 MPa.

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150mm