The topic is all about thermal stress. Use pen and paper to solve. Show the conversion in the solution. The discussion:δT = α ∆T LδT = α (Tf −Ti) LWhere: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 inP.S. show the relationship in deformation 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 isapplied.A (mm²)a (l°C)E (GPa)Steel rod30011.7 × 10–6200Bronze rod140018.9 x 10-683Bronze 3 mSteel 1.5 m→| 1.0 m-2.5 m-1.5 mW

Answered: The rigid bar of negligible weight is…

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 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

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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