Stress Concentration Factor
Subject
A stress concentration factor is an intensification multiplier by which stress rises due to a discontinuity, which may be a notch, hole, groove or a change in material. The multiplier is influenced by two principle factors; the size of the discontinuity and radius at its root.
Stress concentration factors are applied to otherwise evenly distributed stresses that would normally be seen in plain shapes of the same crosssectional with smooth and continuous edges that are exposed to axial, bending and/or shear forces.
All you need to do is multiply your calculated stress by the concentration factor to identify its magnification at the root of the discontinuity.
Stress concentrations are extremely important in defining the size and shape of any reinforcement you may need to incorporate into structural recesses and/or joints.
Calculator
The stress concentration calculator includes 12 calculation options covering various notches, holes and grooves in bars, plates and tubes.
Stress Concentration generates factors that should be applied to particular stresses; bending, axial torsional.
All you need to do is multiply your calculated stress by the factor(s) produced to identify the maximum intensification around a stress raiser such as a notch, groove or hole. The factors generated in this calculator can be applied to the stresses identified in any section or shape irrespective of complexity.
For help using this calculator see Technical Help
Stress Concentration Factor Calculator  Options
Stress Concentration includes the following calculation options:
FLAT – One UNotch
Calculates the maximum stress concentration factor for a flat bar with parallel sides and a Ushaped notch in one edge normal to the axis of the bar.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Outofplane bending

FLAT – Two UNotches
Calculates the maximum stress concentration factor for a flat bar with parallel sides and two equal Ushaped notches in opposite edges normal to the axis of the bar.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Outofplane bending

FLAT – One VNotch
Calculates the maximum stress concentration factor for a flat bar with parallel sides and a Vshaped notch in one edge normal to the axis of the bar.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Outofplane bending

FLAT – Two VNotches
Calculates the maximum stress concentration factor for a flat bar with parallel sides and two equal Vshaped notches in opposite edges normal to the axis of the bar.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Outofplane bending

FLAT – Fillet
Calculates the maximum stress concentration factor for a flat bar with parallel sides and both sides equally recessed (filleted) on opposite sides.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Outofplane bending

FLAT – Hole
Calculates the maximum stress concentration factor for a flat bar with parallel sides and a through hole between one edge and the centreline of the bar.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Outofplane bending

Cylindrical bending

FLAT – Reinforced Hole
Calculates the maximum stress concentration factor for a flat bar with parallel sides and a reinforced through hole on its centreline. This calculation option only provides a result for an applied tensile load. See the Technical Help page for suitable bending stress concentration calculation methods.
You enter: 
and the stress concentration calculator will provide: 


PLATE – Hole
Calculates the maximum stress concentration factor for a flat bar with parallel sides and a through hole between one edge and the centreline of the bar.
You enter: 
and the stress concentration calculator will provide: 


Inplane tension (+ve & +ve)

Inplane tension (+ve)

Inplane tension (+ve & ve)

Outofplane bending

Tubular bending

Membrane bending

Round – UGroove
Calculates the maximum stress concentration factor for a round bar with parallel sides and a Ushaped groove turned into its surface anywhere along its length.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Outofplane bending (torsion)

Round – VGroove
Calculates the maximum stress concentration factor for a round bar with parallel sides and a Vshaped groove turned into its surface anywhere along its length.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Torsion

Round – Fillet
Calculates the maximum stress concentration factor for a round bar with parallel sides turned down to a smaller diameter for part of its length.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Torsion

Tube – Hole
Calculates the maximum stress concentration factor for a tubular bar with parallel sides and a hole drilled through both opposite walls on its centreline.
You enter: 
and the stress concentration calculator will provide: 


Axial

Inplane bending

Torsion

Check minimum system requirements