A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed w. An axial load 1.170P is applied to the shaft and is cycled from zero to 1.170 P torque T induced by the clutch face onto the shaft is given by f(l.xxxP)(D+d) T 4 Where D and d are defined in the figure and f is the coefficient of friction of the clutch face. The shaft is machined with Sy = 800 MPa and Su = 1000 MPa. The theoretical stress- concentration factors for the fillet are 3.0 and 1.8 for the axial and torsional loading, respectively. Assume the load variation P is synchronous with shaft rotation. With f = 0.3, find the maximum allowable load P such that the shaft will survive a minimum of 10° cycles with a factor of safety of 3. Use the modified Goodman criterion. Determined the corresponding factor of safety guarding against yielding. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. R= 3 mm d = 30 mm 1.015 Friction pad D= 150 mm

A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed w. An axial load 1.170P is applied to the shaft and is cycled from zero to 1.170 P torque T induced by the clutch face onto the shaft is given by f(l.xxxP)(D+d) T 4 Where D and d are defined in the figure and f is the coefficient of friction of the clutch face. The shaft is machined with Sy = 800 MPa and Su = 1000 MPa. The theoretical stress- concentration factors for the fillet are 3.0 and 1.8 for the axial and torsional loading, respectively. Assume the load variation P is synchronous with shaft rotation. With f = 0.3, find the maximum allowable load P such that the shaft will survive a minimum of 10° cycles with a factor of safety of 3. Use the modified Goodman criterion. Determined the corresponding factor of safety guarding against yielding. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. R= 3 mm d = 30 mm 1.015 Friction pad D= 150 mm

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Material Properties
800 MPa
1000 MPa
Marin Factors
Endurance Limits
MPa
MPa
Applied Nominal Stress in term of 'P'
A Pa
A Pa
A Pa
Pa
Notch sentivity
Fatigue stress & Fatigue shear stress concentration factor
Combine Stress in term of 'P'
A Pa
Pa
Maximum allowable load"P
P :
kN
Factor of safety guarding against yielding
: Therefore it will be
from static load.

Fatigue Failure Resulting from Variable Loading
51.
A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed
w. An axial load 1.170P is applied to the shaft and is cycled from zero to 1.170 P
torque T' induced by the clutch face onto the shaft is given by
f(1.xxxP)(D+d)
T =
4
Where D and d are defined in the figure and f is the coefficient of friction of the clutch face.
The shaft is machined with Sy = 800 MPa and Su = 1000 MPa. The theoretical stress-
concentration factors for the fillet are 3.0 and 1.8 for the axial and torsional loading,
respectively.
Assume the load variation P is synchronous with shaft rotation. With f = 0.3, find the
maximum allowable load P such that the shaft will survive a minimum of 10° cycles with a
factor of safety of 3. Use the modified Goodman criterion. Determined the corresponding
factor of safety guarding against yielding.
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
R = 3 mm
d = 30 mm
1.015
Friction pad
D= 150 mm

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