Engineering Rock Mechanics

(Jacob Rumans) #1

41 0 Appendix A: Stress and strain analysis



  1. Calculate the rotation angle and direction from ox to q. Remember that
    rotations on the circle are twice real life rotations (Q = positive rotation).


but be aware that 0" e @ e 180".

correct orientation.


  1. Finally, draw the element on which the principal stresses act, in the


Example

10 1'"

I .,. Cor

110




    • (2 x = 1 I.18Mpa centre = i(20 + 10) = =a




u, = 15 + 11.18 = 26.18MPa u2 = 15 - 11.18 = 3- T,,,~~ = 11 .I8MPa


0 =tan -' 20- ~ 10 = 63.43' :. 13 = 31.72'

X \ u2 = 3.82MPa

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