A hollow steel shaft used in a constructionauger has an outer diameter d2 = 6.0 in. and innerdiameter d1 = 4.5 in. (see figure). The steel has ashear modulus of elasticity G =11.0 x106 psi.For an applied torque of 150 kip-in., determinethe following quantities:(a) shear stress τ2 at the outer surface of the shaft,(b) shear stress τ1 at the inner surface, and(c) rate of twist θ (degrees per unit of length).Also, draw a diagram showing how the shearstresses vary in magnitude along a radial line in thecross section.PRoblEms 3.3-15 and 3.3-16d1 -Ip--d一

Given d1 = 4.5 in d2 = 6 in G = 11 X 106 psi T = 150 kip-in To find Shear at outer surface Shear at…

Answered: -Ip- -d一

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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A hollow steel shaft used in a construction
auger has an outer diameter d₂ = 6.0 in. and inner
diameter d₁ = 4.5 in. (see figure). The steel has a
shear modulus of elasticity G =11.0 x10⁶ psi.
For an applied torque of 150 kip-in., determine
the following quantities:
(a) shear stress τ₂ at the outer surface of the shaft,
(b) shear stress τ₁ at the inner surface, and
(c) rate of twist θ (degrees per unit of length).
Also, draw a diagram showing how the shear
stresses vary in magnitude along a radial line in the
cross section.
PRoblEms 3.3-15 and 3.3-16
d1

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