1. A 14-mm diameter brass rod AB is fitted with a plug at A. Rod is attached at B to rigid plate that is itself attached at C to the bottom of an aluminum cylinder with an outer diameter of 70 mm and wall thickness of 3 mm. The cylinder is then hung from a rigid support at D. The assembly is unstressed at 25°C with a vertical gap of 1 mm between the bottom of the plug and the bottom of the slot. When the temperature dropped to 4°C, (a) determine the force P required too close the cylinder y closing the gap), (b) corresponding strain in the rod and the cylinder and (c ) the deflection of the rigid plate. I mm AB (Brass) = 105 GPa D. a =20.9 x10-6/°C CD (Aluminum) E = 72 GPa a =23.6 x10-6/°C %3D 375 mm

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Author:Segui, William T.
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Chapter10: Plate Girders
Section: Chapter Questions
Problem 10.5.1P
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1. A 14-mm diameter brass rod AB is fitted with a
plug at A. Rod is attached at B to rigid plate that is
itself attached at C to the bottom of an aluminum
cylinder with an outer diameter of 70 mm and wall
thickness of 3 mm. The cylinder is then hung from a
rigid support at D. The assembly is unstressed at 25°C
with a vertical gap of 1 mm between the bottom of
the plug and the bottom of the slot. When the
temperature dropped to 4°C, (a) determine the force
P required too close the cylinder y closing the gap),
(b) corresponding strain in the rod and the cylinder
and (c ) the deflection of the rigid plate.
АВ (Brass)
E = 105 GPa
a =20.9 x10-6/°C
CD (Aluminum)
E = 72 GPa
a =23.6 x10-6/°C
1 mm
D.
%3D
375 mm
Transcribed Image Text:1. A 14-mm diameter brass rod AB is fitted with a plug at A. Rod is attached at B to rigid plate that is itself attached at C to the bottom of an aluminum cylinder with an outer diameter of 70 mm and wall thickness of 3 mm. The cylinder is then hung from a rigid support at D. The assembly is unstressed at 25°C with a vertical gap of 1 mm between the bottom of the plug and the bottom of the slot. When the temperature dropped to 4°C, (a) determine the force P required too close the cylinder y closing the gap), (b) corresponding strain in the rod and the cylinder and (c ) the deflection of the rigid plate. АВ (Brass) E = 105 GPa a =20.9 x10-6/°C CD (Aluminum) E = 72 GPa a =23.6 x10-6/°C 1 mm D. %3D 375 mm
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