Each of the three aluminum bars shown is to be twisted through an angle of 2.5°. Knowing that b=30 mm, Tall=50 MPa, and G=27 GPa, determine the shortest allowable length of each bar. Refer to Table 3.1. (b) T 1.2b The shortest allowable length of bar (a) is The shortest allowable length of bar (b) is The shortest allowable length of bar (c) is mm. mm. mm.

Each of the three aluminum bars shown is to be twisted through an angle of 2.5°. Knowing that b=30 mm, Tall=50 MPa, and G=27 GPa, determine the shortest allowable length of each bar. Refer to Table 3.1. (b) T 1.2b The shortest allowable length of bar (a) is The shortest allowable length of bar (b) is The shortest allowable length of bar (c) is mm. mm. mm.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter8: Engineering Materials

Section: Chapter Questions

Problem 7ETSQ

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Question

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Each of the three aluminum bars shown is to be twisted through an angle of 2.5°. Knowing that b=30 mm, Tall = 50 MPa, and G = 27
GPa, determine the shortest allowable length of each bar. Refer to Table 3.1.
(a)
(b)
(c)
1.2h
The shortest allowable length of bar (a) is
The shortest allowable length of bar (b) is
The shortest allowable length of bar (c) is
mm.
mm.
mm.

Expert Solution

Step 1

Given,

Allowable shear stress, $τ$ _all = 50 MPa

b = 30 mm

Modulus of rigidity (G) = 27 GPa or 27000 MPa

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