6. A transmission shaft carries a pulley midway between the two bearings. The bending moment at the pulley varies from 250 N-m to 650 N-m, as the torsional moment in the shaft varies from 80 N-m to 250 N-m. The frequencies of variation of bending and torsional moments are equal to the shaft speed. The shaft is made of steel FeE 400 (Sut= 540 N/mm² and Syt = 400 N/mm²). The corrected endurance limit of the shaft is 350 N/mm² and factor of safety of 2. Determine the diameter of the shaft using the distortion energy theory of failure.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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6. A transmission shaft carries a pulley midway between the two bearings. The bending moment at
the pulley varies from 250 N-m to 650 N-m, as the torsional moment in the shaft varies from 80
N-m to 250 N-m. The frequencies of variation of bending and torsional moments are equal to the
shaft speed. The shaft is made of steel FeE 400 (Sut= 540 N/mm² and Syt = 400 N/mm²). The
corrected endurance limit of the shaft is 350 N/mm² and factor of safety of 2. Determine the
diameter of the shaft using the distortion energy theory of failure.
Transcribed Image Text:6. A transmission shaft carries a pulley midway between the two bearings. The bending moment at the pulley varies from 250 N-m to 650 N-m, as the torsional moment in the shaft varies from 80 N-m to 250 N-m. The frequencies of variation of bending and torsional moments are equal to the shaft speed. The shaft is made of steel FeE 400 (Sut= 540 N/mm² and Syt = 400 N/mm²). The corrected endurance limit of the shaft is 350 N/mm² and factor of safety of 2. Determine the diameter of the shaft using the distortion energy theory of failure.
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