Normal stress transformation equation

Sunday, November 20, 2011 19:00
Posted in category Mechanics of Solids 2
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Normal Stress transformation equation:

Below is the derivation of normal stress transformation equation when the axis is inclined at some angle.

Sign conventions:

  • For normal stresses:

We will show tension with positive sign and compression with negative sign.

  • For shear stresses:

If vertical couple is Counter clockwise then (+) sign and if vertical couple is Clockwise (-) sign will use.

If horizontal couple is Counter clockwise then (-) sign and if horizontal couple is clockwise then + sign.

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