STRESS CONCENTRATION FACTORS FOR TRANSVERSE CIRCULAR HOLE IN A ROUND BAR

Theoretical stress concentration factors (Kt) of transverse circular hole in round bar can be calculated by this calculator for tension, bending and torsion loads. In addition to stress concentration factor calculation, the calculator can be used to find maximum stress values in round bar if loading parameters are known. See footnotes of the "Results" table for the necessary equations for the stress calculations.

Calculated theoretical stress concentration factors can be used to predict maximum tension and shear stresses in the bar. See footnotes of the "Results" table for the necessary equations for the stress calculations.

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 Diameter of shaft D mm cm m inch ft Hollow shaft inner diameter d Transverse hole radius r Tension force P N kN lbf Bending moment M N*m lbf*in lbf*ft Torque T

Note: Use dot "." as decimal separator.

 RESULTS LOADING TYPE - TENSION Parameter Symbol Value Unit Stress concentration factor * Kt --- --- Nominal tension stress at shaft o σnom --- MPa psi ksi Maximum tension stress due to tension load (at Point-A) σmax --- LOADING TYPE - BENDING Parameter Symbol Value Unit Stress concentration factor * Kt --- --- Nominal tension stress at shaft + σnom --- MPa psi ksi Maximum tension stress due to bending (at Point-A) σmax --- LOADING TYPE - TORSION Parameter Symbol Value Unit Stress concentration factor ** Kt --- --- Nominal shear stress at shaft x τnom --- MPa psi ksi Maximum shear stress due to torsion (at Point-A) τmax --- Maximum tension stress due to torsion (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 Bending Torsion

Reference:
• Pilkey, W. D..(2005). Formulas for Stress, Strain, and Structural Matrices .2nd Edition John Wiley & Sons