# STRESS CONCENTRATION FACTORS FOR A SINGLE ELLIPTICAL HOLE IN A FINITE-WIDTH PLATE

Theoretical stress concentration factors (Kt) of single elliptical hole in finite width plate can be calculated by this calculator for tension and in-plane bending loads. In addition to stress concentration factor calculation, the calculator can be used to find maximum stress values at the edge of plate and 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:

 INPUT PARAMETERS Parameter Symbol Value Unit Plate width D mm cm m inch ft Semi-major axis 2a Semi-minor axis 2b Plate thickness t Tension force P N kN lbf In-plane bending moment M N*m lbf*in lbf*ft
###### Note: Use dot "." as decimal separator.

 RESULTS LOADING TYPE - TENSION Parameter Symbol Value Unit Stress concentration factor at point A * Kt --- --- Nominal tension stress o σnom --- MPa psi ksi Maximum tension stress at Point - A σmax --- LOADING TYPE - IN-PLANE BENDING Parameter Symbol Value Unit Stress concentration factor at point - A * KtA --- --- Nominal tension stress + σnom --- MPa psi ksi Maximum tension stress at Point - A σmax ---

##### 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 In-Plane Bending

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