Angle of Shear Resistance

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owillis28

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I cannot figure out the correct answer to this project. Looking for some assistance if someone is familiar on how to solve this problem. 

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Are you studying for the geotech PE exam?

Direct shear is covered in almost all soil mechanics textbooks. Calculate the normal stress and shear stress for each of the 3 data sets. You could then plot the points on a graph, which gives you your mohr-coulomb failure envelope. Your friction angle equals the inverse tan of (shear stress/normal stress).

 
Took an online course in Geotech to refresh a little & satisfy a PDH requirement for a PE renewal. This is one of the questions that I was not able to get the right answer. Must be doing something wrong in my calculations because my steps are as exactly as you pointed out in your reply. It had to be something wrong in the way I calculated the normal & shear stress for each data set. 

 
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