Theoretical Stress Concentration Factor Calculator

✖The Highest Value of Actual Stress near Discontinuity is the maximum stress experienced at a point where there is a change in geometry or material properties.ⓘ Highest Value of Actual Stress near Discontinuity [σa_max]			+10% -10%
✖The Nominal Stress is the average stress experienced by a material under load, used to assess its performance and safety in mechanical design applications.ⓘ Nominal Stress [σ_o]			+10% -10%

✖The Theoretical Stress Concentration Factor is a dimensionless value that quantifies the increase in stress at a particular point in a material due to geometric discontinuities.ⓘ Theoretical Stress Concentration Factor [k_t]

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Theoretical Stress Concentration Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Stress Concentration Factor = Highest Value of Actual Stress near Discontinuity/Nominal Stress
k_t = σa_max/σ_o
This formula uses 3 Variables

Variables Used

Theoretical Stress Concentration Factor - The Theoretical Stress Concentration Factor is a dimensionless value that quantifies the increase in stress at a particular point in a material due to geometric discontinuities.
Highest Value of Actual Stress near Discontinuity - (Measured in Pascal) - The Highest Value of Actual Stress near Discontinuity is the maximum stress experienced at a point where there is a change in geometry or material properties.
Nominal Stress - (Measured in Pascal) - The Nominal Stress is the average stress experienced by a material under load, used to assess its performance and safety in mechanical design applications.

STEP 1: Convert Input(s) to Base Unit

Highest Value of Actual Stress near Discontinuity: 53.75 Newton per Square Millimeter --> 53750000 Pascal (Check conversion here)
Nominal Stress: 25 Newton per Square Millimeter --> 25000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_t = σa_max/σ_o --> 53750000/25000000

Evaluating ... ...

k_t = 2.15

STEP 3: Convert Result to Output's Unit

2.15 --> No Conversion Required

FINAL ANSWER

2.15 <-- Theoretical Stress Concentration Factor

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Institute of Aeronautical Engineering (IARE), Hyderabad

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Theoretical Stress Concentration Factor Formula

LaTeX Go

Theoretical Stress Concentration Factor = Highest Value of Actual Stress near Discontinuity/Nominal Stress
k_t = σa_max/σ_o

What is theoretical stress concentration factor?

Stress concentration is defined as the localization of high stresses due to the irregularities present in the component and abrupt changes of the cross-section.

How to Calculate Theoretical Stress Concentration Factor?

Theoretical Stress Concentration Factor calculator uses Theoretical Stress Concentration Factor = Highest Value of Actual Stress near Discontinuity/Nominal Stress to calculate the Theoretical Stress Concentration Factor, The Theoretical stress concentration factor formula is defined as the ratio of the highest value of actual stress near discontinuity to nominal stress obtained by elementary equations for minimum cross-section. Theoretical Stress Concentration Factor is denoted by k_t symbol.

How to calculate Theoretical Stress Concentration Factor using this online calculator? To use this online calculator for Theoretical Stress Concentration Factor, enter Highest Value of Actual Stress near Discontinuity (σa_max) & Nominal Stress (σ_o) and hit the calculate button. Here is how the Theoretical Stress Concentration Factor calculation can be explained with given input values -> 2.48 = 53750000/25000000.

FAQ

What is Theoretical Stress Concentration Factor?

The Theoretical stress concentration factor formula is defined as the ratio of the highest value of actual stress near discontinuity to nominal stress obtained by elementary equations for minimum cross-section and is represented as k_t = σa_max/σ_o or Theoretical Stress Concentration Factor = Highest Value of Actual Stress near Discontinuity/Nominal Stress. The Highest Value of Actual Stress near Discontinuity is the maximum stress experienced at a point where there is a change in geometry or material properties & The Nominal Stress is the average stress experienced by a material under load, used to assess its performance and safety in mechanical design applications.

How to calculate Theoretical Stress Concentration Factor?

The Theoretical stress concentration factor formula is defined as the ratio of the highest value of actual stress near discontinuity to nominal stress obtained by elementary equations for minimum cross-section is calculated using Theoretical Stress Concentration Factor = Highest Value of Actual Stress near Discontinuity/Nominal Stress. To calculate Theoretical Stress Concentration Factor, you need Highest Value of Actual Stress near Discontinuity (σa_max) & Nominal Stress (σ_o). With our tool, you need to enter the respective value for Highest Value of Actual Stress near Discontinuity & Nominal Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Theoretical Stress Concentration Factor?

In this formula, Theoretical Stress Concentration Factor uses Highest Value of Actual Stress near Discontinuity & Nominal Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Theoretical Stress Concentration Factor = 1+Major Axis of Elliptical Crack/Minor Axis of Elliptical Crack

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