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

✖The Minor Axis of Elliptical Crack is the shortest diameter of an elliptical crack, influencing stress concentration and structural integrity in mechanical design.ⓘ Minor Axis of Elliptical Crack [b_e]			+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]			+10% -10%

✖The Major Axis of Elliptical Crack is the longest diameter of an elliptical crack, influencing stress concentration and structural integrity in mechanical design under fluctuating loads.ⓘ Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor [a_e]

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

STEP 0: Pre-Calculation Summary

Formula Used

Major Axis of Elliptical Crack = Minor Axis of Elliptical Crack*(Theoretical Stress Concentration Factor-1)
a_e = b_e*(k_t-1)
This formula uses 3 Variables

Variables Used

Major Axis of Elliptical Crack - (Measured in Meter) - The Major Axis of Elliptical Crack is the longest diameter of an elliptical crack, influencing stress concentration and structural integrity in mechanical design under fluctuating loads.
Minor Axis of Elliptical Crack - (Measured in Meter) - The Minor Axis of Elliptical Crack is the shortest diameter of an elliptical crack, influencing stress concentration and structural integrity in mechanical design.
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.

STEP 1: Convert Input(s) to Base Unit

Minor Axis of Elliptical Crack: 15 Millimeter --> 0.015 Meter (Check conversion here)
Theoretical Stress Concentration Factor: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_e = b_e*(k_t-1) --> 0.015*(3-1)

Evaluating ... ...

a_e = 0.03

STEP 3: Convert Result to Output's Unit

0.03 Meter -->30 Millimeter (Check conversion here)

FINAL ANSWER

30 Millimeter <-- Major Axis of Elliptical Crack

(Calculation completed in 00.004 seconds)

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< Flat Plate against Fluctuating Loads Calculators

Nominal Tensile Stress in Flat Plate with Shoulder Fillet

Go Nominal Stress = Load on Flat Plate/(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

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

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

Why is theoretical stress concentration factor so called?

The stress concentration charts are based on either the photo-elastic analysis of the epoxy models using a circular polariscope or theoretical or finite element analysis of the mathematical model. That is why the factor is called the theoretical stress concentration factor. The model is made of a different material than the actual material of the component. The ductility or brittleness of the material has a pronounced effect on its response to stress concentration. Also, the type of load— whether static or cyclic—affects the severity of stress concentration. Therefore, there is a difference between the stress concentration indicated by the theoretical stress concentration factor and the actual stress concentration in the component.

How to Calculate Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor?

Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor calculator uses Major Axis of Elliptical Crack = Minor Axis of Elliptical Crack*(Theoretical Stress Concentration Factor-1) to calculate the Major Axis of Elliptical Crack, The major axis of elliptical crack hole in flat plate given theoretical stress concentration factor is the length of the longest axis passing through the ellipse centre and is along the length of the crack hole. Major Axis of Elliptical Crack is denoted by a_e symbol.

How to calculate Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor using this online calculator? To use this online calculator for Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor, enter Minor Axis of Elliptical Crack (b_e) & Theoretical Stress Concentration Factor (k_t) and hit the calculate button. Here is how the Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor calculation can be explained with given input values -> 30000 = 0.015*(3-1).

FAQ

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

The major axis of elliptical crack hole in flat plate given theoretical stress concentration factor is the length of the longest axis passing through the ellipse centre and is along the length of the crack hole and is represented as a_e = b_e*(k_t-1) or Major Axis of Elliptical Crack = Minor Axis of Elliptical Crack*(Theoretical Stress Concentration Factor-1). The Minor Axis of Elliptical Crack is the shortest diameter of an elliptical crack, influencing stress concentration and structural integrity in mechanical design & 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.

How to calculate Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor?

The major axis of elliptical crack hole in flat plate given theoretical stress concentration factor is the length of the longest axis passing through the ellipse centre and is along the length of the crack hole is calculated using Major Axis of Elliptical Crack = Minor Axis of Elliptical Crack*(Theoretical Stress Concentration Factor-1). To calculate Major Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor, you need Minor Axis of Elliptical Crack (b_e) & Theoretical Stress Concentration Factor (k_t). With our tool, you need to enter the respective value for Minor Axis of Elliptical Crack & Theoretical Stress Concentration Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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