Ad
related to: elliptical hole stress concentration
Search results
Results From The WOW.Com Content Network
Note that the dimensionless stress concentration factor is a function of the geometry shape and independent of its size. [4] These factors can be found in typical engineering reference materials. Stress concentration around an elliptical hole in a plate in tension. E. Kirsch derived the equations for the elastic stress distribution around a hole.
In 1907 Kolosov derived the solution for stresses around an elliptical hole in a solid material governed by the mathematical theory of elasticity. He showed that the concentration of stress could become far greater, as the radius of curvature at an end of the hole becomes small compared with the overall length of the hole.
Stress is a measure of the average amount of force exerted per unit area. The stress distribution can be obtained from known theoretical [ 1 ] or numerical ( Finite element method ) analysis. The researcher who builds up the force lines can choose a magnitude of the internal force and the initial border where the drawing procedure starts.
It gives the contact stress as a function of the normal contact force, the radii of curvature of both bodies and the modulus of elasticity of both bodies. Hertzian contact stress forms the foundation for the equations for load bearing capabilities and fatigue life in bearings, gears, and any other bodies where two surfaces are in contact.
Loading an infinite plate with a circular hole of radius a with stress σ, the resulting stress field is (the angle is with respect to the direction of application of the stress): σ r r = σ 2 ( 1 − a 2 r 2 ) + σ 2 ( 1 + 3 a 4 r 4 − 4 a 2 r 2 ) cos 2 θ {\displaystyle \sigma _{rr}={\frac {\sigma }{2}}\left(1-{\frac {a^{2}}{r^{2 ...
The book covers various subjects, including bearing and shear stress, experimental stress analysis, stress concentrations, material behavior, and stress and strain measurement. It also features expanded tables and cases, improved notations and figures within the tables, consistent table and equation numbering, and verification of correction ...
Massive elliptical galaxies have high Sérsic indices and a high degree of central concentration. This galaxy, M87, has a Sérsic index n~ 4. [4] Discs of spiral galaxies, such as the Triangulum Galaxy, have low Sérsic indices and a low degree of central concentration. Most galaxies are fit by Sérsic profiles with indices in the range 1/2 < n ...
The edges of the hole may be flanged to increase the rigidity and strength of the component. [1] The holes can be circular, triangular, elliptical, or rectangular and should have rounded edges, but they should never have sharp corners, to avoid the risk of stress risers, and they must not be too close to the edge of a structural component. [2] [3]