Physics:Huber's equation

Huber's equation, first derived by a Polish engineer Tytus Maksymilian Huber, is a basic formula in elastic material tension calculations, an equivalent of the equation of state, but applying to solids. In most simple expression and commonly in use it looks like this: [math]\displaystyle{ \sigma_{red}=\sqrt{({\sigma}^2) + 3({\tau}^2)} }[/math]

where [math]\displaystyle{ \sigma }[/math] is the tensile stress, and [math]\displaystyle{ \tau }[/math] is the shear stress, measured in newtons per square meter (N/m², also called pascals, Pa), while [math]\displaystyle{ \sigma_{red} }[/math]—called a reduced tension—is the resultant tension of the material.

Finds application in calculating the span width of the bridges, their beam cross-sections, etc.

See also

• Yield surface
• Stress–energy tensor
• Tensile stress
• von Mises yield criterion