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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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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