Chapter 4 --- Part 2 Mohr’s Circle

Pure Uniaxial Tension

Pure Uniaxial Compression

2

Pure Torsion

Uniaxial Tension with Torsional Shear e.g. rotating shaft carring bending load while transmitting torque τmax ==== σσσσ1 ==== σσσσ2 ====

3

Procedure for Constructing Mohr’s Circle 1. stress analysis ==� 2. 3. set up σ − τ plane 4. plot points on σ − τ plane

5. draw the ________ connecting the ___________________

6. the center of Mohr’ circle at the average of the two applied normal stresses

τxy

τyx

σ

τ

σave =

4

7. R =

a = b =

8. circle with radius ________________ 9. max normal stress σσσσ1 ==== ______________ 10. min normal stress σσσσ2 ==== ______________ 11. the top of the circle � τmax ====___________ Mohr’s circle _______________ ?

5

12. 13. resulting stress to original element

τ =

σ =