STRESS CONCENTRATION FACTORS FOR VSHAPED CIRCUMFERENTIAL GROOVE
Theoretical stress concentration factors (K_{t}) of Vshaped circumferential groove
can be calculated by this calculator for torsion loads. In addition to stress concentration factor calculation, the calculator can be used to find maximum stress values at the groove of the shaft 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  TORSION 

Parameter 
Symbol 
Value 
Unit 
Stress concentration factor * 
K_{t} 


 
Nominal shear stress at shaft ^{x} 
τ_{nom
} 



Maximum shear stress due to torsion (at PointA) 
τ_{max
} 


Note 1: Maximum stress is occured at point A.
Note 2: * Geometry rises τ_{nom} by a factor of K_{t}. (K_{t }= τ_{nom}/τ_{max})
Note 3: ^{x} τ_{nom}= 16T/(πd^{3}) (Nominal shear stress occurred due to torsion)
Note 4: Vshaped stress concentration factor is dependent on Ushaped stress
concentration factor. Input parameters shall satisfy both cases.
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