A composite assembly consisting of a steel [G= 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube(1) is shown. The cross-sectional dimensions of the assembly areshown in the second figure. Assume L = 210 mm, D1 = 51, d1 = 35 mm, d2= 21 mm. If a torque of T = 1000 N-m is applied to the composite assembly, determine(a) the maximum shear stress in the aluminum tube and in the steel core.(b) the rotation angle of end B relative to end A.A(1)(2)TT.B(1)d2diDAnswers:(a)Talum =iMPaTsteel =iMPa(b) Фв — ФА %3irad

Shear Modulus of Steel = G = 80 x 103 Mpa Shear Modulus of Aluminium = G = 28 x 103 Mpa Torque Apply…

Answered: (1) (2) T B (1) чers: Talum MPa Tsteel…

Engineering

Civil Engineering

(1) (2) T B (1) чers: Talum MPa Tsteel = i MPa PB – PA = rad II

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A composite assembly consisting of a steel [G= 80 GPa] core (2) connected by rigid plates at the ends of an aluminum [G = 28 GPa] tube
(1) is shown. The cross-sectional dimensions of the assembly areshown in the second figure. Assume L = 210 mm, D1 = 51, d1 = 35 mm, d2
= 21 mm. If a torque of T = 1000 N-m is applied to the composite assembly, determine
(a) the maximum shear stress in the aluminum tube and in the steel core.
(b) the rotation angle of end B relative to end A.
A
(1)
(2)
T
T.
B
(1)
d2
di
D
Answers:
(a)
Talum =
i
MPa
Tsteel =
i
MPa
(b) Фв — ФА %3
i
rad

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