Numerical - Thermal stress, given temperature & length of rod

Q.  What is the value of thermal stress, if a rod of 3 m is heated at 50 oC and is fixed at both the ends?
(Take α = 10 x 10-6 /oC & E= 200 x 103 Mpa)
- Published on 21 Sep 15

a. 25 Mpa
b. 50 Mpa
c. 100 Mpa
d. 150 Mpa

ANSWER: 100 Mpa

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    Discussion

  • Sravanthi   -Posted on 24 Nov 15
    - Given: length of rod = 3 m, α = 10 x 10-6 /°C & E= 200 x 103 Mpa

    - Formula: Thermal stress (σ) = E α t

    - Solution:

    Thermal stress (σ) = E α t

    = 200 x 103 x 10 x 10-6 x 50

    = 100 Mpa

    The value of thermal stress is 100 Mpa.

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