Huber's equation
Encyclopedia
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:
where
is the tensile stress, and 
is the shear stress
, measured in newtons per square meter (N/m², also called pascal
s, Pa), while
- called a reduced tension, is the resultant tension of the material.
Very useful in calculating the span width of the bridges like Golden Gate Bridge
or Verrazano-Narrows Bridge
, their beam cross-sections, etc.
Tytus Maksymilian Huber
Tytus Maksymilian Huber was a world renowned Polish mechanical engineer, educator, and scientist. He was a member of the pre-war Polish scientific foundation, Kasa im...
, is a basic formula in elastic material tension calculations, an equivalent of the equation of state
Equation of state
In physics and thermodynamics, an equation of state is a relation between state variables. More specifically, an equation of state is a thermodynamic equation describing the state of matter under a given set of physical conditions...
, but applying to solids. In most simple expression and commonly in use it looks like this:
where
is the tensile stress, and is the shear stressShear stress
A shear stress, denoted \tau\, , is defined as the component of stress coplanar with a material cross section. Shear stress arises from the force vector component parallel to the cross section...
, measured in newtons per square meter (N/m², also called pascal
Pascal (unit)
The pascal is the SI derived unit of pressure, internal pressure, stress, Young's modulus and tensile strength, named after the French mathematician, physicist, inventor, writer, and philosopher Blaise Pascal. It is a measure of force per unit area, defined as one newton per square metre...
s, Pa), while
- called a reduced tension, is the resultant tension of the material.Very useful in calculating the span width of the bridges like Golden Gate Bridge
Golden Gate Bridge
The Golden Gate Bridge is a suspension bridge spanning the Golden Gate, the opening of the San Francisco Bay into the Pacific Ocean. As part of both U.S. Route 101 and California State Route 1, the structure links the city of San Francisco, on the northern tip of the San Francisco Peninsula, to...
or Verrazano-Narrows Bridge
Verrazano-Narrows Bridge
The Verrazano-Narrows Bridge is a double-decked suspension bridge that connects the boroughs of Staten Island and Brooklyn in New York City at the Narrows, the reach connecting the relatively protected upper bay with the larger lower bay....
, their beam cross-sections, etc.
See also
- Yield surfaceYield surfaceA yield surface is a five-dimensional surface in the six-dimensional space of stresses. The yield surface is usually convex and the state of stress of inside the yield surface is elastic. When the stress state lies on the surface the material is said to have reached its yield point and the...
- Stress energy tensor
- Tensile stress