A groove is machined into the circumference of a steel shaft held in cantilever and supportin bevel (miter) gear mating to an identical gear with an axis 90° to intersecting shaft axis. The norr force is known to be Fn = 8500 N and the tangential force is Ft = 5500 N. For a stress elem located at point A on the diagram and assuming the shaft is rotating, determine the properties the cyclic stress wave listed below, for one full revolution of the shaft. Include the str concentration factors and use maximum distortional energy theory for stress analysis. a) Omin (minimum stress) b) omax (maximum stress) c) Om (mean stress) d) a (alternating stress/stress amplitude) e) or (stress range)

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A groove is machined into the circumference of a steel shaft held in cantilever and supporting a
bevel (miter) gear mating to an identical gear with an axis 90° to intersecting shaft axis. The normal
force is known to be Fn = 8500 N and the tangential force is Ft = 5500 N. For a stress element
located at point A on the diagram and assuming the shaft is rotating, determine the properties of
the cyclic stress wave listed below, for one full revolution of the shaft. Include the stress
concentration factors and use maximum distortional energy theory for stress analysis.
a) Omin (minimum stress)
b) omax (maximum stress)
c) Om (mean stress)
d) σα
e) or (stress range)
(alternating stress/stress amplitude)
D = 60 mm
Shaft diameter at
base of notch
d = 50 mm
r = 6 mm
Machined Surface
Fn
200 mm
45°
Point A
Mating bevel gear
Ft
Into page
100 mm
Transcribed Image Text:A groove is machined into the circumference of a steel shaft held in cantilever and supporting a bevel (miter) gear mating to an identical gear with an axis 90° to intersecting shaft axis. The normal force is known to be Fn = 8500 N and the tangential force is Ft = 5500 N. For a stress element located at point A on the diagram and assuming the shaft is rotating, determine the properties of the cyclic stress wave listed below, for one full revolution of the shaft. Include the stress concentration factors and use maximum distortional energy theory for stress analysis. a) Omin (minimum stress) b) omax (maximum stress) c) Om (mean stress) d) σα e) or (stress range) (alternating stress/stress amplitude) D = 60 mm Shaft diameter at base of notch d = 50 mm r = 6 mm Machined Surface Fn 200 mm 45° Point A Mating bevel gear Ft Into page 100 mm
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