A solid steel shaft supporting an idler pulley in a V-belt drive is subject to a rotating reversing bending load of F=120 lbf due to the tension in the belt (not shown). Since it is an idler, there is no torque in the shaft. Distance a=4.25 in, and the shaft diameter is d=3/4 in. Bearing spacing s=3.50 in. The shaft is cold- drown oteel with a hordness of 190 HRN It

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A solid steel shaft supporting an idler pulley in
a V-belt drive is subject to a rotating reversing
bending load of F=120 lbf due to the tension
in the belt (not shown). Since it is an idler,
there is no torque in the shaft. Distance
a=4.25 in, and the shaft diameter is d=3/4 in.
Bearing spacing s=3.50 in. The shaft is cold-
drawn steel with a hardness of 180 HBN. It
a
will operate at room temperature, and needs a
reliability of 99%.
a) Estimate the ultimate strength, fatigue
strength at 1000 cycles, and endurance limit
of a rotating-beam fatigue test specimen of
the shaft steel. Plot the results on the S-N curve below.
F
b) Estimate the endurance limit of the actual shaft, and plot the results on the S-N curve below.
Label all points.
c) Estimate the safety factor against fatigue failure, i.e. S/o
S-N Curve
160
140
120
100
80
60
40
20
1.E+00
1.E+01
1.E+02
1.E+03
1.E+04
1.E+05
1.E+06
1.E+07
1.E+08
Cycles to Failure N
Fatigue Strength S, (ksi)
Transcribed Image Text:A solid steel shaft supporting an idler pulley in a V-belt drive is subject to a rotating reversing bending load of F=120 lbf due to the tension in the belt (not shown). Since it is an idler, there is no torque in the shaft. Distance a=4.25 in, and the shaft diameter is d=3/4 in. Bearing spacing s=3.50 in. The shaft is cold- drawn steel with a hardness of 180 HBN. It a will operate at room temperature, and needs a reliability of 99%. a) Estimate the ultimate strength, fatigue strength at 1000 cycles, and endurance limit of a rotating-beam fatigue test specimen of the shaft steel. Plot the results on the S-N curve below. F b) Estimate the endurance limit of the actual shaft, and plot the results on the S-N curve below. Label all points. c) Estimate the safety factor against fatigue failure, i.e. S/o S-N Curve 160 140 120 100 80 60 40 20 1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06 1.E+07 1.E+08 Cycles to Failure N Fatigue Strength S, (ksi)
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