STRESS CONCENTRATION FACTOR FOR ROUND PIN JOINT WITH CLOSELY FITTING PIN IN A FINITE-WIDTH PLATE


Theoretical stress concentration factors (Kt) of round pin joint with closely fitting pin in finite width 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 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 factor for round pin joint with closely fitting pin in finite-width plate
 INPUT PARAMETERS
Parameter Symbol Value Unit
Plate width D
Hole diameter d
Hole center to plate edge distance L
Plate thickness h
Tension force P

Note: Use dot "." as decimal separator.

 



 RESULTS
LOADING TYPE - TENSION
Stress concentration factor for round pin joint with closely fitting pin in finite-width plate under tension
Parameter Symbol Value Unit
TENSION STRESS
Stress concentration factor * Kta --- ---
Nominal tension stress based on net section o σna ---
Maximum tension stress σmax ---
BEARING STRESS
Stress concentration factor ** Ktb --- ---
Nominal bearing stress based on bearing area x σnb ---
Maximum bearing stress σmax ---


Note 1: * Geometry rises σna by a factor of Kta. (Kta= σmaxna)
Note 2: ** Geometry rises σnb by a factor of Ktb. (Ktb= σmaxnb)
Note 3: o Nominal stress based on net section (σna= P/[(D-d)h])
Note 4: x Nominal stress based on bearing area  (σnb= P/(dh))

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 factor for round pin joint with closely fitting pin in finite-width plate
Tension Formula for stress concentration factor for round pin joint with closely fitting pin in finite-width plate under tension
Stress concentration factor for round pin joint with closely fitting pin in finite-width plate under tension

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