5 What is the effective stress if 1 10MPa 2 20MPa 3 10MPa

5. What is the effective stress if ₁ = 10MPa, ₂ = -20MPa, ₃ = 10MPa?

Serope Kalpakjian, Steven R Schmid, Steven Schmid - Manufacturing Processes for Engineering Materials, 5e (ISBN: 0132272717) (ISBN-13: 9780132272711)

Solution

SOlution :

Since poisoons ratio and any other data is not given this is plain stress. So the resultant of plain stress is nothing but addition of these stresses.

Hence effective stress = 10+ (-20) + 10 = 0 Mpa

This shows that because of one negative stress the total stress is zero or there is not stress acting on the body.