1.3 – STRESS TRANSFORMATION

For each of the questions below, choose the best answer. The stress matrix and associated principal stresses are as given. Using this information choose the closest correct answer to 3 significant figures.

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The first stress invariant is
 
 
 
 
 

The second stress invariant is

 
 
 
 
 

The third stress invariant is

 
 
 
 
 

The stress σxx is

 
 
 
 
 

The maximum shear stress is

 
 
 
 
 

The octahedral normal stress is

 
 
 
 
 

The magnitude of octahedral shear stress is

 
 
 
 
 

The magnitude of the stress vector on the plane whose outward normal makes the angle of 90o, 45o, 45o to the principal coordinates is

 
 
 
 
 

The magnitude of normal stress on the plane whose outward normal makes the angle of 90o, 45o, 45o to the principal coordinates is

 
 
 
 
 

The magnitude of shear stress on the plane whose outward normal makes an angle of 90o, 45o, 45o to the principal coordinates is