5. A cold-worked brass specimen of average grain size 0.008 mm has a yield stren

Question

5. A cold-worked brass specimen of average grain size 0.008 mm has a yield strength of 160 MPa (23,500 psi). Estimate the yield strength of this alloy after it has been heated to 600°C for 1000 s, if it is known that the value of ky is 12.0 MPa-mm1/2 (1740 psi-mm1/2).

5. A cold-worked brass specimen of average grain size 0.008 mm has a yield strength of 160 MPa (23,500 psi). Estimate the yield strength of this alloy after it has been heated to 600°C for 1000 s, if it is known that the value of ky is 12.0 MPa-mm1 (1740 psi-mm2). 1/2

Explanation / Answer

In order to solve this problem, it is first necessary to calculate the constant ?0
?0   =   ?y? kyd-1/2
       =160MPa?(12.0MPa?mm1/2)(0.008mm)?1/2

    =25.8MPa (4046 psi)

we must determine the average grain size after the heat treatment. at 600°C after 1000 s (16.7 min) the average grain size of a brass material is about 0.20 mm. Therefore, calculating ?y at this new grain size using we get

?y=?0+ kyd-1/2

= 25.8 MPa+(12.0 MPa-mm1/2)(0.20mm)-1/2

= 52.6MPa (7940 psi)

the yield strength of this alloy = 52.6MPa (7940 psi)

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