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Geology 3120 - Resolving stresses on a plane

Geology 3120 - Resolving stresses on a plane. Outline. Resolving stress on a plane Determining maximum shear stress Class problem. Stress. Normal and Shear Stresses. Q is defined as the angle from horizontal to the plane A’. Counterclockwise is positive (+). . Solving for Shear Stress.

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Geology 3120 - Resolving stresses on a plane

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  1. Geology 3120 - Resolving stresses on a plane

  2. Outline • Resolving stress on a plane • Determining maximum shear stress • Class problem

  3. Stress

  4. Normal and Shear Stresses Q is defined as the angle from horizontal to the plane A’. Counterclockwise is positive (+).

  5. Solving for Shear Stress

  6. Solving for Shear Stress

  7. Solving for Shear Stress

  8. Solving for Shear Stress

  9. Solving for Normal Stress

  10. Solving for Normal Stress

  11. Solving for Normal Stress

  12. Solving for Normal Stress

  13. Solutions for Normal & Shear Stresses

  14. Calculating Maximum Shear Stress For what Q value is the shear stress greatest?

  15. Calculating Maximum Shear Stress p/4 For what Q value is the shear stress greatest? Q = 45° or p/4 F A Q

  16. Class Problem Find the Q dip value of the plane such that ss is minimized and sn maximized. F Draw the plane on the block figure. A

  17. Class Problem Find the Q dip value of the plane such that ss is minimized and sn maximized. F Draw the plane on a block figure. A Q = 0°

  18. The Relationship Between Stresses and Q F/A = 1 sn s ss p/2 p/4 0 Q

  19. References Slide 1 Twiss, R. J. and E. M. Moores, Structural Geology, W. H. Freeman & Co., New York, 532 p., 1992.

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