# Strength of Materials: Principle Stresses, & Maximum Shear Stress

The principle stresses are the maximum and minimum normal stress that are caused by the applied stresses. On a graph they will represent the maximum points on the x-axis. This will be discussed further when talking about Mohr's circle. To calculate the principle stresses for a 2d problem equation 1 would be used.

(1)

σ = Normal Stress

τ = Shear Stress

The part before the plus and minus sign of equation 1 is the average normal stress, equation 2.

(2)

In addition to calculating the principle stresses, the maximum shear stress can be calculated. To calculate the maximum shear stress you would used the part after the plus and minus sign of equation 1, refer to equation 3.

(3)

To calculate the graphical angle of the shear stress in respect to the normal stress equation 4 would be used.

(4)

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