The composite shaft shown consists of a 0.25-in.-thick brass jacket (G= 8 x 106 psi) bonded to a 1.4-in.-diameter steel core (Gsteel = 12 × 106 psi). The shaft is subjected to 9-kip-in. torques.as shown, detremine (a) the maximum shear stress in the brass jacket and (b) angle of twist of B relative to A T 6 ft -Steel core B T Brass jacket
The composite shaft shown consists of a 0.25-in.-thick brass jacket (G= 8 x 106 psi) bonded to a 1.4-in.-diameter steel core (Gsteel = 12 × 106 psi). The shaft is subjected to 9-kip-in. torques.as shown, detremine (a) the maximum shear stress in the brass jacket and (b) angle of twist of B relative to A T 6 ft -Steel core B T Brass jacket
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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The composite shaft shown consists of a 0.25-in.-thick brass jacket (G= 8 x 106 psi) bonded to a 1.4-in.-diameter steel core
(Gsteel = 12 x 106 psi). The shaft is subjected to 9-kip-in. torques.as shown, detremine
(a) the maximum shear stress in the brass jacket and
(b) angle of twist of B relative to A
1
T
6 ft
-Steel core
Brass jacket
Constraints
For a perfectly bonded cross-section, the angle of twist at each point (and therefore the relative angle of twist) would be the same for
the steel core and brass shell. This would be possible only if there were non-zero internal reaction torques in the steel core and brass
shell, i.e. Tst#0 and Tür#0.
Assuming that the magnitude of the internal reaction torques Tst and Tbr, in the steel core and brass shell, produce the same sense of
twisting, express
Tst+
Tbr=9 (kip.in)--(1)
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