Mohr’s Circle (for a body subjected to direct stresses in two mutually perpendicular faces)

 Mohr’s circle for stress on an oblique section of a body subjected to direct stresses in two mutually perpendicular faces.



Detailed step by step procedure to draw the mohr's circle for a body subjected to direct stresses in two mutually perpendicular faces (When both stresses are of tensile nature)

Things to remember before drawing mohr's circle 

👉tensile stress is taken as positive and compressive stress is taken as negative.

👉 you can use appropriate scale 


Step 1. Draw a straight line OB length equals to σx



Step 2. Mark a point A on line OB and Length of OA is equal to σy .


Step 3. Mark Mid point C of line joining A and B




Step 4. Draw a circle With mid point C and passing through points A and B





Step 5. Locate an inclined plane in this circle by marking a radial line CD at double the angle 2θ at which the required plane is inclined with a given plane.





Step 6. Draw DE  perpendicular from D to x-axis.






Now the mohr's circle is completed 


Now we have to find the result value 

1. Normal stress 
measure the length OE(will give the value of normal stress at an inclined plane)

2. Tangential Stress
measure the value DE (will give the value of shear stress at an incline plane)


3. OB will give the maximum Normal stress 
on this plane Tangential Stress will zero so, OB plane will be known as Principal Plane and the position of principal plane is zero.

4. perpendicular from point C will give the maximum Tangential Stress

5. length OD will give you the resultant stress 






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