3) The two 500-lb forces are vertical and the force P is parallel to the z axis. Knowing that τ = all 8ksi determine the smallest permissible diameter of the solid shaft AE. y 7 in. 7 in. 7 in. 7 in. 4 in. P A 4 in. 500 lb B 6 in. 500 lb E

1. Four pulleys are attached to the 55 mm diameter steel shaft. If torques is applied to the pulleys as shown in the figure, determine the angle of rotation of pulley D relative to pulley A. 2300 N-m 1200 N-m 2000 N-m 1500 N-m C D 4 m 2 m

The solid compound shaft, made of threedifferent materials, carries the two torques shown. Theshear moduli are 28 GPa for aluminum, 83 GPa for steel,and 35 GPa for bronze.1. Calculate the maximum shear stress (MPa) in eachmaterial.2. Find the angle of rotation (degrees) of the free endof the shaft.

The cantilever beam AB will be installed so that the 60-mm side forms an angle β between 0 and 90° with the vertical. The 660-N vertical force P is applied at the center of the free end of the beam. Determine the value of β for which the normal stress at point a is a maximum and the corresponding value of that stress. (Round the final answer to two decimal places.)

A solid transmission shaft is 88.9 mm diameter. It is desired to replace it with a hollow shaft of the same material and same torsional strength but its weight should only be half as much as the solid shaft. Find the outside diameter and inside diameter of the hollow shaft in mm. A. 76.175 & 38.2 B. 66.175 & 28.2  C. 107.31 & 86.97 D. 86.175 & 48.20

The brace and drill bit is used to drill a hole at O. If the drill bit jams when the brace is subjected to the forces shown determine the resultant internal loadings acting on the cross-section of the drill bit at A.

Determine the elongation in a helical steel spring composed of 22 turns of 21.37-mm-diameter wire on a mean radius of 91.1 mm when the spring is supporting a load of 1458 kN. G = 83 GPa. (Answer must be in millimeters)   Round your answer to 2 decimal places.

The hand crank that is used in a press has the dimensions shown. Determine the resultant internal loadings acting on the cross-section at point A if a vertical force of 50 lb is applied to the handle as shown. Assume thecrank is fixed to the shaft at B.

A hollow shaft has an inner diameter of 0.035 m and outer diameter of 0.086 m. Determine the polar moment of inertia of the hollow shaft. A. 1.512 x 10-⁶ m⁴ B. 1.215 x 10-⁶ m⁴ C. 1.52 x 10-⁶ m⁴ D. 1.125 x 10-⁶m⁴ Please solve the Problem elaborately and Refer Machine Elements and Stresses Equations from the figures or use other shortcut Methods you have or you may Solve both or in more different methods the better ?. Your solution will be use as reference for my Future Board Exam preparation/review/study. Thank you so much dear your work will be appreciated much and rated excellently.

A 0.75" diameter solid steel shaft is connected by the steel bolted coupling shown. The maximum allowable shear stress in the steel is 18 ksi (shaft and bolts). The coupling consists of steel bolts that are 1/8" diameter and the bolt holes are equally spaced and centered on a 4" diameter circle (2" radius from the center of the shaft to the center of a bolt hole). Determine a) The maximum torque that the shaft can carry Ans: /,491"* b) The number of bolts required for the torque in part a). Assume the bolts fail by shearing at the coupling interface and the shear stress is uniform across the bolt's cross sectional area.