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:[1]

σ r e d = ( σ 2 ) + 3 ( τ 2 ) {\displaystyle \sigma _{red}={\sqrt {({\sigma }^{2})+3({\tau }^{2})}}}

where σ {\displaystyle \sigma } is the tensile stress, and τ {\displaystyle \tau } is the shear stress, measured in newtons per square meter (N/m2, also called pascals, Pa), while σ r e d {\displaystyle \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.[citation needed]

See also

References

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


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