**Maximum In-plane Shear Stress Calculator**

This calculator is for finding maximum and minimum in-plane shear stress(τ_{max} and τ_{min}) and the angles of orientation (θ_{max} and θ_{min}) of the planes. It also calculates the average normal stress σ_{s} acting on the planes of maximum shear stress.

Sign Convention: Positive face of a plane is that on which the outward normal acts in the positive coordinate direction, otherwise it is negative face. Normal Tensile stresses are taken as positive and normal compressive stresses are negative. Shear stress on a plane is taken as positive if it acts in the positive coordinate direction on a positive face, or in a negative coordinate direction on a negative face. Otherwise it is taken as negative. Angle of orientation (θ) is -ve for clock-wise and +ve for anti-clockwise rotation with reference to the positive x-axis

By default this calculator is using the units of stress as MPa, but other units N/mm^{2}, kN/m^{2}, ksi, psi etc. can also be used without affecting the results.

This calculator can also be used for finding maximum and minimum strain because the equations are same in that case also just by ignoring the units as strains are dimensionless.

Please refer to the figure and enter the required values in the form given below and then click "Calculate"

The following maximum shear stress Equations are used in this calculator.

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