Solving Strength of Materials Homework Problem

AI Thread Summary
The discussion revolves around a challenging strength of materials homework problem involving moments and stresses. The user has calculated moments at the y-axis and z-axis, yielding values of 10Nm and 48Nm, respectively. They derived stress values, including -20MPa at the x-axis and 8.33MPa for shear stress at the xz plane, but are struggling to find the correct principal strain. The user confirms that they have checked their units and seeks clarification on their approach to solving the problem. Assistance is requested to identify any errors in their calculations or methodology.
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Homework Statement



In the attachment

Homework Equations



The Attempt at a Solution



I have been solving this question for quite some time but I can't get the answer yet.
I offset all the forces to point C and I get the following values:
Moment at y-axis, M(y) = 10Nm
Moment at z-axis, M(z) = 48Nm

Stress at x-axis = -M(z) x (21mm) / I = -20MPa
Stress at z-axis = 0

Shear stress at xz plane = Tc/J
= (40Nm) (21mm) / J
= 8.33MPa
By applying the following equations to get the principle strain,
tan(2theta)=2(Shear stress at xz plane) /(Stress at x-axis - Stress at z-axis)

I can't get the correct answer.

Can anyone help me? Thanks in advance.
 

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Did you check your units?
 
Yes i did...Is my way of doing correct?
 

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