A pulley is keyed to a shaft midway between two anti-friction bearings. The bending moment at the pulley varies from - 170 N-m to 510 N-m and the torsional moment in the shaft varies from 55 N-m to 165 N-m. The frequency of the variation of the loads is the same as the shaft speed. The shaft is made of cold drawn steel having an ultimate strength of 540 MPa and a yield strength of 400 MPa. Determine the required diameter for an indefinite life. The stress concentration factor for the keyway in bending and torsion may be taken as 1.6 and 1.3 respectively. The factor of safety is 1.5. Take size factor = 0.85 and surface finish factor = 0.88. %3D %3D [Ans. 36.5 mm] [Hint. Assume oe = 0.5 ou; ty = 0.5 oy ; te = 0.55 oe e 2:47

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A pulley is keyed to a shaft midway between
two anti-friction bearings. The bending
moment at the
pulley varies from - 170 N-m to 510 N-m and
the torsional moment in the shaft varies from
55 N-m
to 165 N-m. The frequency of the variation of
the loads is the same as the shaft speed. The
shaft is
made of cold drawn steel having an ultimate
strength of 540 MPa and a yield strength of
400 MPa.
Determine the required diameter for an
indefinite life. The stress concentration factor
for the keyway
in bending and torsion may be taken as 1.6
and 1.3 respectively. The factor of safety is
1.5. Take size
factor = 0.85 and surface finish factor = 0.88.
%3D
%3D
[Ans. 36.5 mm]
[Hint. Assume oe
= 0.5 ou; ty
= 0.5 oy
; te
= 0.55 oe
e 2:47 V
Transcribed Image Text:A pulley is keyed to a shaft midway between two anti-friction bearings. The bending moment at the pulley varies from - 170 N-m to 510 N-m and the torsional moment in the shaft varies from 55 N-m to 165 N-m. The frequency of the variation of the loads is the same as the shaft speed. The shaft is made of cold drawn steel having an ultimate strength of 540 MPa and a yield strength of 400 MPa. Determine the required diameter for an indefinite life. The stress concentration factor for the keyway in bending and torsion may be taken as 1.6 and 1.3 respectively. The factor of safety is 1.5. Take size factor = 0.85 and surface finish factor = 0.88. %3D %3D [Ans. 36.5 mm] [Hint. Assume oe = 0.5 ou; ty = 0.5 oy ; te = 0.55 oe e 2:47 V
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