The rigid bar of negligible weight is supported as shown. The assembly is initially stress- free. Find the stress in each rod if the temperature rises 20C after a load W = 120 kN is applied.
The rigid bar of negligible weight is supported as shown. The assembly is initially stress- free. Find the stress in each rod if the temperature rises 20C after a load W = 120 kN is applied.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
The topic is all about thermal stress. Use pen and paper to solve. Show the conversion in the solution.
The discussion:
δT = α ∆T L
δT = α (Tf −Ti) L
Where:
α = coefficient of thermal expansion in m/m°C or in/in°C
∆T = change in temperature (Tf – Ti) (+ ∆T = expansion) (- ∆T =
contraction)
L = Length of the member in mm or in
P.S. show the relationship in deformation
Transcribed Image Text:The rigid bar of negligible weight is supported as shown. The assembly is initially stress-
free. Find the stress in each rod if the temperature rises 20C after a load W = 120 kN is
applied.
A (mm²)
a (l°C)
E (GPa)
Steel rod
300
11.7 × 10–6
200
Bronze rod
1400
18.9 x 10-6
83
Bronze 3 m
Steel 1.5 m
→| 1.0 m-
2.5 m
-1.5 m
W
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