Theoretical Stress Concentration Factor for Elliptical Crack Calculator

✖Major axis of elliptical crack is the length of the larger axis of an elliptical crack on a surface.ⓘ Major Axis of Elliptical Crack [a_e]			+10% -10%
✖Minor Axis of Elliptical Crack is the length of the smaller axis of an elliptical crack on a surface.ⓘ Minor Axis of Elliptical Crack [b_e]			+10% -10%

✖Theoretical Stress Concentration Factor 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 for Elliptical Crack [k_t]

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Theoretical Stress Concentration Factor for Elliptical Crack

Formula

`"k"_{"t"} = 1+"a"_{"e"}/"b"_{"e"}`

Example

`"3.133333"=1+"32mm"/"15mm"`

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Theoretical Stress Concentration Factor for Elliptical Crack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Stress Concentration Factor = 1+Major Axis of Elliptical Crack/Minor Axis of Elliptical Crack
k_t = 1+a_e/b_e
This formula uses 3 Variables

Variables Used

Theoretical Stress Concentration Factor - Theoretical Stress Concentration Factor 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.
Major Axis of Elliptical Crack - (Measured in Meter) - Major axis of elliptical crack is the length of the larger axis of an elliptical crack on a surface.
Minor Axis of Elliptical Crack - (Measured in Meter) - Minor Axis of Elliptical Crack is the length of the smaller axis of an elliptical crack on a surface.

STEP 1: Convert Input(s) to Base Unit

Major Axis of Elliptical Crack: 32 Millimeter --> 0.032 Meter (Check conversion here)
Minor Axis of Elliptical Crack: 15 Millimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_t = 1+a_e/b_e --> 1+0.032/0.015

Evaluating ... ...

k_t = 3.13333333333333

STEP 3: Convert Result to Output's Unit

3.13333333333333 --> No Conversion Required

FINAL ANSWER

3.13333333333333 ≈ 3.133333 <-- Theoretical Stress Concentration Factor

(Calculation completed in 00.006 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Stress Concentration Factors in Design » Flat Plate against Fluctuating Loads » Theoretical Stress Concentration Factor for Elliptical Crack

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< 9 Flat Plate against Fluctuating Loads Calculators

Smaller Width of Flat Plate with Shoulder Fillet given Nominal stress

Go Smaller Width of Plate = Load on Flat Plate/(Nominal Stress*Thickness of Plate)

Thickness of Flat Plate with Shoulder Fillet given Nominal Stress

Go Thickness of Plate = Load on Flat Plate/(Nominal Stress*Smaller Width of Plate)

Nominal Tensile Stress in Flat Plate with Shoulder Fillet

Go Nominal Stress = Load on Flat Plate/(Smaller Width of Plate*Thickness of Plate)

Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor

Go Major Axis of Elliptical Crack = Minor Axis of Elliptical Crack*(Theoretical Stress Concentration Factor-1)

Minor Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor

Go Minor Axis of Elliptical Crack = Major Axis of Elliptical Crack/(Theoretical Stress Concentration Factor-1)

Load on Flat Plate with Shoulder Fillet given Nominal Stress

Go Load on Flat Plate = Nominal Stress*Smaller Width of Plate*Thickness of Plate

Theoretical Stress Concentration Factor

Go Theoretical Stress Concentration Factor = Highest Value of Actual Stress near Discontinuity/Nominal Stress

Theoretical Stress Concentration Factor for Elliptical Crack

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

Mean Stress for Fluctuating Load

Go Mean Stress for Fluctuating Load = (Maximum Stress at Crack Tip+Minimum Stress at Crack Tip)/2

Theoretical Stress Concentration Factor for Elliptical Crack Formula

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

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 for Elliptical Crack?

Theoretical Stress Concentration Factor for Elliptical Crack calculator uses Theoretical Stress Concentration Factor = 1+Major Axis of Elliptical Crack/Minor Axis of Elliptical Crack to calculate the Theoretical Stress Concentration Factor, Theoretical stress concentration factor for elliptical crack 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 for Elliptical Crack using this online calculator? To use this online calculator for Theoretical Stress Concentration Factor for Elliptical Crack, enter Major Axis of Elliptical Crack (a_e) & Minor Axis of Elliptical Crack (b_e) and hit the calculate button. Here is how the Theoretical Stress Concentration Factor for Elliptical Crack calculation can be explained with given input values -> 3 = 1+0.032/0.015.

FAQ

What is Theoretical Stress Concentration Factor for Elliptical Crack?

Theoretical stress concentration factor for elliptical crack 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 = 1+a_e/b_e or Theoretical Stress Concentration Factor = 1+Major Axis of Elliptical Crack/Minor Axis of Elliptical Crack. Major axis of elliptical crack is the length of the larger axis of an elliptical crack on a surface & Minor Axis of Elliptical Crack is the length of the smaller axis of an elliptical crack on a surface.

How to calculate Theoretical Stress Concentration Factor for Elliptical Crack?

Theoretical stress concentration factor for elliptical crack 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 = 1+Major Axis of Elliptical Crack/Minor Axis of Elliptical Crack. To calculate Theoretical Stress Concentration Factor for Elliptical Crack, you need Major Axis of Elliptical Crack (a_e) & Minor Axis of Elliptical Crack (b_e). With our tool, you need to enter the respective value for Major Axis of Elliptical Crack & Minor Axis of Elliptical Crack 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 Major Axis of Elliptical Crack & Minor Axis of Elliptical Crack. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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