# STRESS CONCENTRATION FACTORS FOR A RECTANGULAR HOLE IN INFINITE PLATE

Theoretical stress concentration factors (Kt) of rectangular hole with round corners in infinite plate can be calculated by this calculator for tension loads. Maximum stress at the edge of the hole is also calculated.

There exist some validity conditions for the equations which are used in the calculations. If input parameters don't satisfy validity conditions of equations, a warning message is given by the calculator.

### Rectangular Hole with Round Corners in Infinite Plate:

 INPUT PARAMETERS Parameter Value Rectangle height [2a] mm cm m inch ft Rectangle width [2b] Corner radius [r] Axial stress [σ1] MPa psi ksi

Note: Use dot "." as decimal separator.

 RESULTS LOADING TYPE - AXIAL STRESS Parameter Value TENSION STRESS Stress concentration factor [Kt] * --- --- Maximum tension stress [σmax] --- MPa psi ksi

Note 1: * Geometry rises σnom by a factor of Kt . (Kt = σmaxnom)

### Definitions:

Stress Concentration Factor: Dimensional changes and discontinuities of a member in a loaded structure causes variations of stress and high stresses concentrate near these dimensional changes. This situation of high stresses near dimensional changes and discontinuities of a member (holes, sharp corners, cracks etc.) is called stress concentration. The ratio of peak stress near stress riser to average stress over the member is called stress concentration factor.

Kt: Theoretical stress concentration factor in elastic range = (σmaxnom)

### List of Equations:

 Tension $$0.2\le r/b\le 1.0$$ and $$0.3\le b/a\le 1.0$$ $${ C }_{ 1 }=14.815-15.774\sqrt { r/b } +8.149r/b$$ $${ C }_{ 2 }=-11.201-9.750\sqrt { r/b } +9.600r/b$$ $${ C }_{ 3 }=0.202+38.662\sqrt { r/b } -27.374r/b$$ $${ C }_{ 4 }=3.232-23.002\sqrt { r/b } +15.482r/b$$ $${ K }_{ t }={ C }_{ 1 }+{ C }_{ 2 }\frac { b }{ a } +{ C }_{ 3 }{ (\frac { b }{ a } ) }^{ 2 }+{ C }_{ 4 }{ (\frac { b }{ a } ) }^{ 3 }$$ $${ \sigma }_{ max }={ K }_{ t }{ \sigma }_{ 1 }$$