The pin-connected structure consists of a rigid bar ABC, a solid bronze [E = 107 GPa, a = 16.5 x 10-6/°C] rod (1), and a solid aluminum alloy [E = 75 GPa, a = 20.1 x 10-6/°C] rod (2). Bronze rod (1) has a diameter of 24 and aluminum rod (2) has a diameter of 17 mm. The bars are unstressed when the structure is assembled at 24°C. After assembly, the temperature of rod (2) is decreased by 37°C, while the temperature of rod (1) remains constant at 24°C. Determine the normal stresses 0₁, 02 in both rods for this condition (positive if tensile, negative if compressive). 210mm (1) 220mm 480mm (2) 510mm

The pin-connected structure consists of a rigid bar ABC, a solid bronze [E = 107 GPa, a = 16.5 x 10-6/°C] rod (1), and a solid aluminum alloy [E = 75 GPa, a = 20.1 x 10-6/°C] rod (2). Bronze rod (1) has a diameter of 24 and aluminum rod (2) has a diameter of 17 mm. The bars are unstressed when the structure is assembled at 24°C. After assembly, the temperature of rod (2) is decreased by 37°C, while the temperature of rod (1) remains constant at 24°C. Determine the normal stresses 0₁, 02 in both rods for this condition (positive if tensile, negative if compressive). 210mm (1) 220mm 480mm (2) 510mm

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

The pin-connected structure consists of a rigid bar ABC, a solid bronze [E = 107 GPa, a = 16.5 x 10-6/°C] rod (1), and a solid aluminum alloy [E = 75 GPa, a = 20.1 x
10-6/°C] rod (2). Bronze rod (1) has a diameter of 24 and aluminum rod (2) has a diameter of 17 mm. The bars are unstressed when the structure is assembled at 24°C.
After assembly, the temperature of rod (2) is decreased by 37°C, while the temperature of rod (1) remains constant at 24°C. Determine the normal stresses 01, 02 in both
rods for this condition (positive if tensile, negative if compressive).
210mm (1)
Answers:
01 =
02 =
A
220mm
B
480mm
MPa.
MPa.
(2)
510mm

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