(a) The influence of grain size on the yield strength of a Cu-20Zn brass is shown in Table Q3.a. 1. il. Table Q3.a. Variation of Yield stress, dy, with grain diameter, d, for Cu-20Zn brass d [mm] dy [MPa] 30 55 85 127 160 190 1.00 0.111 0.0275 0.0123 0.00704 0.00444 Plot a suitable graph and describe the relationship between grain size and yield strength with a suitable equation. From your graph, calculate values for do (resistance of the lattice to dislocation motion) and ky (the strengthening coefficient). Hence calculate the stress at a grain size of 50 µm.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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(a) The influence of grain size on the yield strength of a Cu-20Zn brass is shown in Table
Q3.a.
1.
il.
Table Q3.a. Variation of Yield stress, dy, with
grain diameter, d, for Cu-20Zn brass
d [mm]
ay [MPa]
1.00
0.111
0.0275
0.0123
0.00704
0.00444
30
55
85
127
160
190
Plot a suitable graph and describe the relationship between grain size and yield
strength with a suitable equation.
From your graph, calculate values for do (resistance of the lattice to dislocation
motion) and k, (the strengthening coefficient). Hence calculate the stress at a grain
size of 50 µm.
Transcribed Image Text:(a) The influence of grain size on the yield strength of a Cu-20Zn brass is shown in Table Q3.a. 1. il. Table Q3.a. Variation of Yield stress, dy, with grain diameter, d, for Cu-20Zn brass d [mm] ay [MPa] 1.00 0.111 0.0275 0.0123 0.00704 0.00444 30 55 85 127 160 190 Plot a suitable graph and describe the relationship between grain size and yield strength with a suitable equation. From your graph, calculate values for do (resistance of the lattice to dislocation motion) and k, (the strengthening coefficient). Hence calculate the stress at a grain size of 50 µm.
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