Answer: The shaft is made of A992 steel with the allowable

Chapter 5, Problem 5-54

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QUESTION:

The shaft is made of A992 steel with the allowable shear stress of \(\tau_{\text {allow }}=75 \mathrm{MPa}\). If gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively, determine the required minimum diameter d of the shaft to the nearest millimeter. Also, find the corresponding angle of twist of gear A relative to gear D. The shaft is rotating at 600 rpm.

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QUESTION:

The shaft is made of A992 steel with the allowable shear stress of \(\tau_{\text {allow }}=75 \mathrm{MPa}\). If gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively, determine the required minimum diameter d of the shaft to the nearest millimeter. Also, find the corresponding angle of twist of gear A relative to gear D. The shaft is rotating at 600 rpm.

ANSWER:

Problem 5-54The shaft is made of A992 steel with the allowable shear stress of tallow = 75 MPa. If gear Bsupplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively,determine the required minimum diameter d of the shaft to the nearest millimeter. Also, find thecorresponding angle of twist of gear A relative to gear D. The shaft is rotating at 600 rpm. Step-by-step solution Step 1 of 9 ^Calculate the angular velocity of the shaft. = 2N 60Substitute 600 rpm for N = 2×600 60 = 62.832 rad/s

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