STRESS CONCENTRATION FACTOR FOR ROUND PIN JOINT WITH CLOSELY FITTING PIN IN A FINITEWIDTH PLATE
Theoretical stress concentration factors (K_{t}) 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:
Note: Use dot "." as decimal separator.
RESULTS 
LOADING TYPE  TENSION 

Parameter 
Symbol 
Value 
Unit 
TENSION STRESS 
Stress concentration factor * 
K_{ta} 


 
Nominal tension stress based on net section ^{
o} 
σ_{na } 



Maximum tension stress 
σ_{max} 


BEARING STRESS 
Stress concentration factor ** 
K_{tb} 


 
Nominal bearing stress based on bearing area ^{
x} 
σ_{nb }




Maximum bearing stress 
σ_{max }



Note 1: * Geometry rises σ_{na} by a factor of K_{ta}. (K_{ta}= σ_{max}/σ_{na})
Note 2: ** Geometry rises σ_{nb} by a factor of K_{tb}. (K_{tb}= σ_{max}/σ_{nb})
Note 3: ^{o} Nominal stress
based on net section (σ_{na}= P/[(Dd)h])
Note 4: ^{x} Nominal stress
based on bearing area (σ_{nb}= 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.
K_{t}: Theoretical stress
concentration factor in elastic range = (σ_{max}/σ_{nom})
List of Equations:
Reference:

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