3-d stress, Civil Engineering

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If the resultant forces are resolved in the three co-ordinate directions and divided by the area of the face of the cube we have the general state of 3-dimensional stress as shown.

Stresses acting normal to the facesare denoted by σ and those acting parallel to the faces are shear stresses denoted by τ.

The second subscript refers to the direction in which the stress acts (e.g. τyx acts on the y face in the x direction).  The normal stresses areusually abbreviated to σx, σy and σz. 

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