RECTANGULAR HOLE IN AN INFINITE PLATE

Rectangular hole with round corners in an infinite plate. Stress concentration factors (Kt) calculator for tension loads.

Stress concentration factors for single circular hole in infinite plate
 INPUT PARAMETERS
Parameter Value
Rectangle height [2a]
Rectangle width [2b]
Corner radius [r]
Axial stress [σ1]

Note: Use dot "." as decimal separator.


 RESULTS
LOADING TYPE - AXIAL STRESS
Stress concentration factors for single circular hole in infinite plate under tension
Parameter Value
TENSION STRESS
Stress concentration factor [Kt] * --- ---
Maximum tension stress [σmax] ---

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


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 = (σmax/σnom)

Formulas:

Stress concentration factors for rectangular hole in infinite plate
Tension
Stress concentration factors for rectangular hole in infinite plate under axial tension load
$$0.2\le r/b\le 1.0$$ and $$0.3\le b/a\le 1.0$$
$${ C }_{ 1 }=14.815-15.774\sqrt { r/b } +8.149r/b$$
$${ C }_{ 2 }=-11.201-9.750\sqrt { r/b } +9.600r/b$$
$${ C }_{ 3 }=0.202+38.662\sqrt { r/b } -27.374r/b$$
$${ C }_{ 4 }=3.232-23.002\sqrt { r/b } +15.482r/b$$
$${ K }_{ t }={ C }_{ 1 }+{ C }_{ 2 }\frac { b }{ a } +{ C }_{ 3 }{ (\frac { b }{ a } ) }^{ 2 }+{ C }_{ 4 }{ (\frac { b }{ a } ) }^{ 3 }$$
$${ \sigma }_{ max }={ K }_{ t }{ \sigma }_{ 1 }$$

Reference: