A) Recall the ‘membrane analogy’. It suggests that the torsional stress in a sha

Question

A)

Recall the ‘membrane analogy’. It suggests that the torsional stress in a shaft is proportional to the slope of a slightly inflated soap bubble that is stretched within a wire frame wherein the wire frame shape is same shape as the shaft’s cross-section. As indicated, the round shaft on the left has milled into it a keyway slot, the shaft b is elliptical, shaft c is rectangular, and shaft d is an equilateral triangle. Circle at which location each shaft will begin to fail when the torsional load becomes sufficiently large. (Circle the best answers.)

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B)

The driver and follower gears, 1 and 2 respectively, shown with their base circles, are in contact along their involute profiles.

a) Graphically determine the angular velocity ratio w1/w2 between the two rotating bodies. Show your work.

b) Estimate the change in angular velocity ratio as a percentage of the original value if, due to bearing wear, the center distance between the two bodies is increased by 10%.

help on either or both please, full created will be given.

Explanation / Answer

A)    a) location b and c

        b)   location   a and d

        c)   location   c and e

        d)   location   a   and b

B)    a) angular velocity ratio w1/w2   = R22/R12

        b)     the change in angular velocity ratio as a percentage of the original value   = 25 %

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