Physics:Huber's equation

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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] [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.[citation needed]

See also

References

  1. Huber, M. T. (1904). "Właściwa praca odkształcenia jako miara wytezenia materiału". Czasopismo Techniczne (Lwów) 22.  Translated as "Specific Work of Strain as a Measure of Material Effort". Archives of Mechanics 56: 173–190. 2004. http://am.ippt.pan.pl/am/article/viewFile/v56p173/pdf.