Solution to Problem 262 Thermal Stress

Problem 262
A steel rod is stretched between two rigid walls and carries a tensile load of 5000 N at 20°C. If the allowable stress is not to exceed 130 MPa at -20°C, what is the minimum diameter of the rod? Assume α = 11.7 µm/(m·°C) and E = 200 GPa.
 

Solution 262

 

Comments

Positive po si thermal stress. Ibig sabihin po initial temperature niya ay -20°C? Medyo naguluhan lang po ako dyan.

I think it was established na po sa compatibility equation. Since yung thermal deformation po is to the left, and tensile deformation is to the right, therefore yung total deformation po is sum of the two.