An aluminum alloy cylinder (2) is clamped between rigid heads by two steel bolts (1), as...

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 20 mm. The aluminum alloy [E = 70 GPa; α₂ = 23.6 × 10⁻⁶/°C] cylinder has an outside diameter of 145 mm and a wall thickness of 7 mm. Assume that a = 625 mm, b = 735 mm, and c = 375 mm. If the temperature of this assembly changes by ΔT = 95°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.

Expert Solution

a) - 21.901 MPa (compression)

b) 0.00192

c) 0.00164

samet mamat answered 4 months ago

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