A simply supported shaft is shown in the figure below. P - w, L= gear key A constant-magnitude transverse load P = 750 lb is applied as the shaft rotates subject to a time-varying torque that varies from Tmin=-200 lb-in to Tmax=400 lb-in. Assume the following data: a = 4 in, b = 12 in, l = 14 in. Assume a st diameter of 1.75 in. The shaft is steel of Sut = 108 kpsi and Sy = 62 kpsi. The key is steel of Sut = 88 kpsi and Sy = 52 kpsi. The surface is machined, reliability is 90%, the shaft operates at a room temperature. VA£¢ # vec bearings are self-aligning so act as simple supports Determine the width and the length of the square key necessary to give a safety factor of at least 2 against both shear and bearing failure for the design shown in figure. Express your answers in inches using three significant figures separated by a comma. Enter the key width first and the key length next. ? in

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.7P: A special-purpose eye boll with a shank diameter d - 0.50 in. passes through, a hole in a steel...
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Part A
A simply supported shaft is shown in the figure below.
P
>
gear
w, L =
key
A constant-magnitude transverse load P = 750 lb is applied as the shaft rotates subject to a time-varying torque that varies from Tmin=-200 lb-in to Tmaz = 400 lb-in. Assume the following data: a = 4 in, b = 12 in, 1 = 14 in. Assume a shaft
diameter of 1.75 in. The shaft is steel of Sut = 108 kpsi and Sy = 62 kpsi. The key is steel of Sut = 88 kpsi and Sy = 52 kpsi. The surface is machined, reliability is 90%, the shaft operates at a room temperature.
VAΣ vec
bearings are self-aligning
so act as simple supports
Determine the width and the length of the square key necessary to give a safety factor of at least 2 against both shear and bearing failure for the design shown in figure.
Express your answers in inches using three significant figures separated by a comma. Enter the key width first and the key length next.
?
in
Transcribed Image Text:Part A A simply supported shaft is shown in the figure below. P > gear w, L = key A constant-magnitude transverse load P = 750 lb is applied as the shaft rotates subject to a time-varying torque that varies from Tmin=-200 lb-in to Tmaz = 400 lb-in. Assume the following data: a = 4 in, b = 12 in, 1 = 14 in. Assume a shaft diameter of 1.75 in. The shaft is steel of Sut = 108 kpsi and Sy = 62 kpsi. The key is steel of Sut = 88 kpsi and Sy = 52 kpsi. The surface is machined, reliability is 90%, the shaft operates at a room temperature. VAΣ vec bearings are self-aligning so act as simple supports Determine the width and the length of the square key necessary to give a safety factor of at least 2 against both shear and bearing failure for the design shown in figure. Express your answers in inches using three significant figures separated by a comma. Enter the key width first and the key length next. ? in
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