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The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 25°C. After the temperature has been increased to 90°C, determine:

The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 25°C. After the temperature has been increased to 90°C, determine:

Structural Analysis
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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The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 25°C. After the temperature has been increased to 90°C, determine:
The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 25°C. After the temperature has been increased to 90°C, determine: A. the normal stresses in the three rods: al = MPa, OCA= MPa and abr = MPa B. the force exerted on the rigid supports. RA kN BFF Aluminum (1) Cast Iron (2) B C 2₂ Aluminum (1) L = 450 mm A₁ = 1000 mm² E = 70 GPa a₁ = 22.5 x 10-6/°C Cast Iron (2) L₂ = 225 mm A₂ = 2500 mm² E, 155 GPa a = 13.5 x 10-6/°C Bronze (3) D Bronze (3) L₁ = 300 mm A3 = 900 mm² E = 100 GPa α = 17.0 x 10-6/°C
Transcribed Image Text:The rods of different materials are connected and placed between rigid supports at A and D, as shown in the figure. Properties for each of the three rods are given below. The bars are initially unstressed when the structure is assembled at 25°C. After the temperature has been increased to 90°C, determine: A. the normal stresses in the three rods: al = MPa, OCA= MPa and abr = MPa B. the force exerted on the rigid supports. RA kN BFF Aluminum (1) Cast Iron (2) B C 2₂ Aluminum (1) L = 450 mm A₁ = 1000 mm² E = 70 GPa a₁ = 22.5 x 10-6/°C Cast Iron (2) L₂ = 225 mm A₂ = 2500 mm² E, 155 GPa a = 13.5 x 10-6/°C Bronze (3) D Bronze (3) L₁ = 300 mm A3 = 900 mm² E = 100 GPa α = 17.0 x 10-6/°C
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