Why do we define engineering and true stresses for tension/compression loading but not for shear loading?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Why do we define engineering and true stresses
for tension/compression loading but not for shear loading?

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Step 1

Engineering stress: It is the stress based on the initial or original cross sectional area (Ao) undergoing tension or compression.

σE=FAo

While plotting the stress-strain curve from tension test, as the applied load increases elongation of the specimen occurs along with reduction in the lateral direction i.e., cross-sectional area. After the ultimate stress point, necking occurs in Ductile material which on further applying the load causes the specimen to reduce cross-section area drastically. 

 True Stress: It is the stress calculated based on the instantaneous cross-sectional area (Ai) of the specimen i.e., at an instant after ultimate stress point as the area reduces on further loading, true stress value increases when compared to engineering stress value at that point.

σT=FAi

True stress-strain values helps in analyzing the specimen for actual changes that takes place in the material specifically after ultimate point and up to fracture point.

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