The section of shaft shown in the figure is to be designed to approximate relative sizes of d = 0.75D and r = D/20 with diameter d conforming to that of standard rolling- bearing bore sizes. The shaft is to be made of SAE 2340 steel, heat-treated to obtain minimum strengths in the shoulder area of 175 kpsi ultimate tensile strength and 160 kpsi yield strength with a Brinell hardness not less than 370. At the shoulder the shaft is subjected to a completely reversed bending moment of 600 lbf • in, accompanied by a steady torsion of 400 lbf • in. Use a design factor of 2.5 and size the shaft for an infinite life using the DE-Goodman criterion. 7-3

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...
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7-3
The section of shaft shown in the figure is to be designed to approximate relative sizes
of d = 0.75D and r = D/20 with diameter d conforming to that of standard rolling-
bearing bore sizes. The shaft is to be made of SAE 2340 steel, heat-treated to obtain
minimum strengths in the shoulder area of 175 kpsi ultimate tensile strength and 160
kpsi yield strength with a Brinell hardness not less than 370. At the shoulder the shaft
is subjected to a completely reversed bending moment of 600 lbf • in, accompaniced
by a steady torsion of 400 lbf · in. Use a design factor of 2.5 and size the shaft for
an infinite life using the DE-Goodman criterion.
Problem 7-3
Section of a shaft containing a
grinding-relief groove. Unless
otherwise specified, the diameter at
the root of the groove d, =d - 2r,
and though the section of diameter d
is ground, the root of the groove is
still a machined surface.
Transcribed Image Text:7-3 The section of shaft shown in the figure is to be designed to approximate relative sizes of d = 0.75D and r = D/20 with diameter d conforming to that of standard rolling- bearing bore sizes. The shaft is to be made of SAE 2340 steel, heat-treated to obtain minimum strengths in the shoulder area of 175 kpsi ultimate tensile strength and 160 kpsi yield strength with a Brinell hardness not less than 370. At the shoulder the shaft is subjected to a completely reversed bending moment of 600 lbf • in, accompaniced by a steady torsion of 400 lbf · in. Use a design factor of 2.5 and size the shaft for an infinite life using the DE-Goodman criterion. Problem 7-3 Section of a shaft containing a grinding-relief groove. Unless otherwise specified, the diameter at the root of the groove d, =d - 2r, and though the section of diameter d is ground, the root of the groove is still a machined surface.
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