Solid Mechanics Stress Blocks- Principle blocks

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The discussion centers on confirming the calculations for stresses on a rotated stress block in solid mechanics. The user seeks assistance with calculating the stresses sigmax', sigmay', and taux'y' after a 15° clockwise rotation, as well as determining the principal stresses and in-plane shear stress. The context assumes plane stress conditions and references a PDF containing relevant equations. The user is looking for guidance on their approach and any specific questions regarding the calculations. Clarification and support for these calculations are requested to ensure accuracy.
tathundy
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Hey guys, I would just like some confirmation that I got this question correct.

Homework Statement


For the stress block shown in Figure 3a, using the stress equations;
a) Calculate the stresses sigmax' sigmay' and taux'y' on a stress block rotated 15° clockwise from the x-y axes.
b)Calculate the principal (normal) stresses and the principal in-plane shear stress (and
corresponding normal stresses) and their orientation (rotation angle). Sketch both these situations
on stress blocks. Assume plane stress conditions.

View attachment 2012 Test 2 Q3.pdf

Homework Equations


This PDF has the relevant equations. View attachment CIV2206_exam_2011_equations.pdf

The Attempt at a Solution


Look at PDF in part a.

Help would be much appreciated,
Thanks in advance.
 
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