(Solution) - In the figure shaft AB is rotating at 1000 rev min -(2025 Original AI-Free Solution)

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In the figure, shaft AB is rotating at 1000 rev/min and transmits 10 hp to shaft CD through a set of bevel gears contacting at point E. The contact force at E on the gear of shaft CD is determined to be (FE) CD = -92.8i - 362.8j + 808.0k lbf. For shaft CD:
(a) draw a free-body diagram and determine the reactions at C and D assuming simple supports (assume also that bearing C is a thrust bearing),
(b) draw the shear-force and bending-moment diagrams, and
(c) Assuming that the shaft diameter is 1.25 in, determine the maximum tensile and shear stresses in the beam.