STRESS CONCENTRATION FACTORS FOR OPPOSITE SHOULDER FILLETS IN A STEPPED BAR


Theoretical stress concentration factors (Kt) 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:
 
Stress concentration factors for opposite shoulder fillets in stepped bar
 INPUT PARAMETERS
Parameter Symbol Value Unit
Thickness of stepped section D
Thickness of flat section d
Radius r
Length of stepped section L
Width of bar  t
Tension force P
Bending moment M

Note: Use dot "." as decimal separator.

 


 RESULTS
LOADING TYPE - TENSION
Stress concentration factors for opposite shoulder fillets in stepped bar under tension
Parameter Symbol Value Unit
Stress concentration factor * Kt --- ---
Nominal tension stress at flat bar o σnom ---
Maximum tension stress due to tension load σmax ---
LOADING TYPE - BENDING
Stress concentration factors for opposite shoulder fillets in stepped bar under bending
Parameter Symbol Value Unit
Stress concentration factor * Kt --- ---
Nominal tension stress at flat bar + σnom ---
Maximum tension stress due to bending σmax ---

Note 1: * Geometry rises σnom by a factor of Kt. (Kt = σmaxnom)
Note 2: o σnom= P/(td) (Nominal tension stress occurred due to tension load)
Note 3: + σnom = 6M/(td2) (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.

Kt: Theoretical stress concentration factor in elastic range = (σmaxnom)

List of Equations:

Stress concentration factors for opposite shoulder fillets in stepped bar
Tension Formula for stress concentration factors for opposite shoulder fillets in stepped bar under tension
Stress concentration factors for opposite shoulder fillets in stepped bar under tension
Bending Formula for stress concentration factors for opposite shoulder fillets in stepped bar under bending
Stress concentration factors for opposite shoulder fillets in stepped bar under bending

Reference: