Search results
Results from the WOW.Com Content Network
In mechanics, a cylinder stress is a stress distribution with rotational symmetry; ... hoop stress is often re-arranged for pressure, and is called Barlow's formula.
This type of stress may be called (simple) normal stress or uniaxial stress; specifically, (uniaxial, simple, etc.) tensile stress. [13] If the load is compression on the bar, rather than stretching it, the analysis is the same except that the force F and the stress σ {\displaystyle \sigma } change sign, and the stress is called compressive ...
Hertzian contact stress refers to the localized stresses that develop as two curved surfaces come in contact and deform slightly under the imposed loads. This amount of deformation is dependent on the modulus of elasticity of the material in contact. It gives the contact stress as a function of the normal contact force, the radii of curvature ...
Barlow's formula (called "Kesselformel" [1] in German) relates the internal pressure that a pipe [2] can withstand to its dimensions and the strength of its material. This approximate formula is named after Peter Barlow , an English mathematician .
The von Mises yield surfaces in principal stress coordinates circumscribes a cylinder with radius around the hydrostatic axis. Also shown is Tresca 's hexagonal yield surface. Mathematically the von Mises yield criterion is expressed as:
In this case, the acceptable pressure limit is calculated from the ultimate tensile stress f u and factors of safety, according to the Eurocode 3 standard. [1] [14] In the case of two plates with a single overlap and one row of bolts, the formula is: P lim = 1.5 × f u /γ M2. where γ M2 = 1.25: partial safety factor. In more complex ...
The radial stress for a thick-walled cylinder is equal and opposite to the gauge pressure on the inside surface, and zero on the outside surface. The circumferential stress and longitudinal stresses are usually much larger for pressure vessels, and so for thin-walled instances, radial stress is usually neglected.
If the cylinder and plane consist of the same materials then the normal contact problem is unaffected by the shear stress. The contact area is a strip x ∈ [ − a , a ] {\displaystyle x\in [-a,a]} , and the pressure is described by the (2D) Hertz solution.