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. In addition to stress concentration factor calculation, the calculator can be used to find maximum stress values at the edge of the hole if loading parameters are known. See footnotes of the "Results" table for the necessary equations for the stress calculations.

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.

The formulas and parameters used in the calculator are given in " List of Equations " section of this page.



Calculator:
 
Stress concentration factors for single circular hole in infinite plate
 INPUT PARAMETERS
Parameter Symbol Value Unit
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 Symbol Value Unit
TENSION STRESS
Stress concentration factor * Kt --- ---
Maximum tension stress σmax ---

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:

Stress concentration factors for rectangular hole in infinite plate
Tension Formula for stress concentration factors for rectangular hole in infinite plate under axial tension load
Stress concentration factors for rectangular hole in infinite plate under axial tension load

Reference:
  • Young, W. C., Budynas, R. G.(2002). Roark’s Formulas for Stress and Strain .7nd Edition McGraw-Hill