Math, asked by Gurmeetubhi3456, 5 months ago

A steel rod is lying horizontally on a frictionless table top as shown in the figure. the temperature starts rising from 293 K to 393 K. Calculate Thermal Stress developed in the steel rod. Coefficient of thermal conductivity of steel = 50 W/m K and E = 210 GPa. The length of the rod is 2000 mm.

Answers

Answered by Anonymous
2

Answer:

Length of the rod as a function of temperature L

=L(1+αΔT)

where α is the coefficient of thermal expansion.

ΔT is the change in temperature

∴ ΔL=L

−L=LαΔT

Strain

L

ΔL

=αΔT ............(1)

From Hooke's law, Y=

Strain

Stress

⟹Stress=Y×Strain

∴ Stress =Y×αΔT

⟹ Stress is independent of L

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