Question

Q4 A rectangular block of material is subjected to a tensile stress of 90N/mm2 on one plane and a tensile stress of 60N/mm2 on a plane at right angles, together with shear stresses of 45N/mm2 on the faces. Find graphically. a) The direction of principal planes, b) The magnitude of principal stresses and c) Magnitude of greatest shear stress

Answer 1

Answer:

Principal stresses =  

Principal plane = 0.2318(anticlock wise)

Principal shear stresses =  

Step by step Explanation:

Given:

Let the stress in x direction,  

The stress in y direction,  

The shear stress,

Now we can determine the principal stresses as :

By substituting all the values we get:

So we have principal stresses =  

Now we can calculate the principal plane as:

We have principal plane = 0.2318(anticlock wise)

Maximum  shear stress can be calculated as:

We have principal shear stresses =  

Explanation: