The brass rod AB is fixed connected at A. When the temperature is T₁-50 °C, there is a 3 mm gap between its end (point B) and the wall C. The cross-sectional area of the rod is 10 cm². Ignore the weight of the bar. The temperature is now increased to T₂-130 °C and the rod AB is pushing against the wall at C. Ebr = 100 GPa, abr=20 x 10-6/°C Fallow 70 MPa L = 3m A 3 m BC 3 mm a. Draw a FBD for when the temperature is increased to T₂ and write down the force balance for this scenario. Call the reactions at FA and Fc. b. State the compatibility condition and solve for the reactions at A and C.

The brass rod AB is fixed connected at A. When the temperature is T₁-50 °C, there is a 3 mm gap between its end (point B) and the wall C. The cross-sectional area of the rod is 10 cm². Ignore the weight of the bar. The temperature is now increased to T₂-130 °C and the rod AB is pushing against the wall at C. Ebr = 100 GPa, abr=20 x 10-6/°C Fallow 70 MPa L = 3m A 3 m BC 3 mm a. Draw a FBD for when the temperature is increased to T₂ and write down the force balance for this scenario. Call the reactions at FA and Fc. b. State the compatibility condition and solve for the reactions at A and C.

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Pressure and Stress

Question

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c. What maximum temperature is acceptable if the allowable normal stress is not to be exceeded?
Assume that the temperature does not affect Young's modulus for the material.

The brass rod AB is fixed connected at A. When the temperature is T₁-50 °C, there is a 3 mm gap
between its end (point B) and the wall C. The cross-sectional area of the rod is 10 cm². Ignore the weight
of the bar.
The temperature is now increased to T₂-130 °C and the rod AB is pushing against the wall at C.
Ebr = 100 GPa,
abr = 20 x 10-6/°C
Fallow 70 MPa
L = 3m
A
3 m
B/C с
3 mm
a. Draw a FBD for when the temperature is increased to T₂ and write down the force balance for this
scenario. Call the reactions at FA and FC.
Ton
=1) und prit brolim volgen
Aistis Intelesa si s
b. State the compatibility condition and solve for the reactions at A and C.

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