Huber's equation explained

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:^[1]

\sigma _{red} = \sqrt{({\sigma} ^{2)} + 3 ({\tau} ^{2)}}

where

\sigma is the tensile stress, and \tau is the shear stress, measured in newtons per square meter (N/m², also called pascals, Pa), while \sigma _{red} —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

Notes and References

1. Huber . M. T. . Właściwa praca odkształcenia jako miara wytezenia materiału . Czasopismo Techniczne . Lwów . 1904 . 22 . Translated as Specific Work of Strain as a Measure of Material Effort . Archives of Mechanics . 56 . 173–190 . 2004 .