Two 20 mm steel shafts with a 100 MPa yield stress in shear are connected by a brass coupling with innerdiameter 20mm. The brass has a 60 MPa yield stress. Determine the largest torque that can be applied to theshaft using a safety factor of 2.1 and the resulting outer diameter of the brass coupling needed for the samesafety factor. Ans: d=268 mm20 mm

Given, d1 = 20 mmτsteel = 100 MPaτbrass = 60 MPaFOS = 2.1∴ τallow-steel = 1002.1 = 47.62 MPa&…

Answered: Two 20 mm steel shafts with a 100 MPa…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Two 20 mm steel shafts with a 100 MPa yield stress in shear are connected by a brass coupling with inner
diameter 20mm. The brass has a 60 MPa yield stress. Determine the largest torque that can be applied to the
shaft using a safety factor of 2.1 and the resulting outer diameter of the brass coupling needed for the same
safety factor. Ans: d=268 mm
20 mm

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Step 1

Given,

$d_{1} = 20 m m τ_{s t e e l} = 100 M P a τ_{b r a s s} = 60 M P a F O S = 2.1 ∴ τ_{a l l o w - s t e e l} = \frac{100}{2.1} = 47.62 M P a & τ_{a l l o w - b r a s s} = \frac{60}{2.1} = 28.57 M P a$

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