A steel rod whose diameter is 2 cm and is 2 m long, experiences heating of temperature 30°C to 150°C. The coefficient of thermal expansion is \alpha= 12 \times10^{–6} \/^\circC and Young's modulus is 200 GPa. If the rod has been restricted to its original position, then the thermal stress (MPa) developed will be __________

SSC JE Mechanical Engineering 2018 Set 1 Paper

Question : 121 of 200

Marks: +1, -0

A steel rod whose diameter is 2 cm and is 2 m long, experiences heating of temperature 30°C to 150°C. The coefficient of thermal expansion is

α= 12 ×10^{–6} \/°C

and Young's modulus is 200 GPa.
If the rod has been restricted to its original position, then the thermal stress (MPa) developed will be __________

Solution:

stress

(σ) = α. E. At

12 × 10^{–6} × 200 × 10^{+9} × (150 -30)

= 12 × 2 × 12 = 288 \N\/\mm^2

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