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Mechanics of composite materials: "orthotropic lamina"

An orthotropic lamina has fibres oriented at 45*. It is subjected to strains...

Determine the maximum and minimum values that Ey can take such that the lamina does not fail according to Maximum Stress Throry.

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Problem 1: (Question 5)

An orthotropic lamina has fibers oriented at 45. It is subjected to strains x and xy given by: x = 0.001 and xy = 0.001.
Determine the maximum and minimum values that y can take such that the lamina does not fail according to Maximum Stress Theory.

Data:

Solution:
Strains oriented upon and transverse to fibers are related to stresses by means of equations:
( 19)
Since we have to apply the maximum stress theory as failure criterion, we need to solve the above equations in 1 , 2 , 12 .and afterwards to apply (1).
By solving the linear algebraic system (19), we get:
( 20)
Now, we ...

Solution Summary

The solution is completed in an attachment and is provided in detail, with step-by-step equational processes, explanation throughout, and a diagram included.

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