P541 An AISI 1040 hotrolled steel E 207 GPa 113106C bar is

P5.41 An AISI 1040 hot-rolled steel [E = 207 GPa; = 11.3×10-6/°C] bar is held between two rigid supports. The bar is stress free at a temperature of 25°C. The bar is then heated uniformly. If the yield strength of the steel is 414 MPa, determine the temperature at which yield first occurs

Solution

Stress = 414 MPa

E= 207000 MPa

Strain = stress/E

= 414/207000

=0.002

strain = (alpha)*(T2-T1)

0.002= 11.3*10-6(T2-25)

T2=201o C

 P5.41 An AISI 1040 hot-rolled steel [E = 207 GPa; = 11.3×10-6/°C] bar is held between two rigid supports. The bar is stress free at a temperature of 25°C. The

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