STRESS CONCENTRATION FACTORS FOR OPPOSITE SHOULDER FILLETS IN A STEPPED BAR
Theoretical stress concentration factors (K_{t}) of opposite shoulder fillets in stepped flat 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 flat 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:
Note: Use dot "." as decimal separator.
RESULTS 
LOADING TYPE  TENSION 

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


 
Nominal tension stress at flat bar ^{o} 
σ_{nom
} 



Maximum tension stress due to tension load 
σ_{max
} 


LOADING TYPE  BENDING 

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


 
Nominal tension stress at flat bar ^{+} 
σ_{nom
} 



Maximum tension stress due to bending 
σ_{max
} 


Note 1: * Geometry rises σ_{nom} by a factor of K_{t}. (K_{t }= σ_{max}/σ_{nom})
Note 2: ^{o} σ_{nom}= P/(td) (Nominal tension stress occurred due to tension load)
Note 3: ^{+} σ_{nom} = 6M/(td^{2}) (Nominal tension stress occured due to bending)
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: