Answered: An aluminum alloy cylinder (2) is…

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

An aluminum alloy cylinder (2) is clamped between rigid heads by two steel bolts (1), as shown. The steel [E = 200 GPa; α₁ = 11.7 × 10⁻⁶/°C] bolts have a diameter of 19 mm. The aluminum alloy [E = 70 GPa; α₂ = 23.6 × 10⁻⁶/°C] cylinder has an outside diameter of 160 mm and a wall thickness of 9 mm. Assume that a = 700 mm, b = 810 mm, and c = 325 mm. If the temperature of this assembly changes by ΔT = 60°C, determine

(a) the normal stress in the aluminum cylinder.
(b) the normal strain in the aluminum cylinder.
(c) the normal strain in the steel bolts.

(1)
(2)
a
(1)
b
Answers:
(a) 02=
i
MPa
(b) E2 =
με
(c) E1=

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