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

✖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 [a_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 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 Hole in Flat Plate given Theoretical Stress Concentration Factor [b_e]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Major Axis of Elliptical Crack: 30 Millimeter --> 0.03 Meter (Check conversion here)
Theoretical Stress Concentration Factor: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_e = a_e/(k_t-1) --> 0.03/(3-1)

Evaluating ... ...

b_e = 0.015

STEP 3: Convert Result to Output's Unit

0.015 Meter -->15 Millimeter (Check conversion here)

FINAL ANSWER

15 Millimeter <-- Minor Axis of Elliptical Crack

(Calculation completed in 00.007 seconds)

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< Flat Plate against Fluctuating Loads Calculators

Nominal Tensile Stress in Flat Plate with Shoulder Fillet

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

Theoretical Stress Concentration Factor

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

Theoretical Stress Concentration Factor for Elliptical Crack

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

Mean Stress for Fluctuating Load

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

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

LaTeX Go

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

Stress concentration in brittle materials

The effect of stress concentration is more severe in the case of brittle materials, due to their inability to plastic deformation. Brittle materials do not yield locally and there is no readjustment of stresses at the discontinuities. Once the local stress at the discontinuity reaches the fracture strength, a crack is formed. This reduces the material available to resist external load and also increases the stress concentration at the crack. The part then quickly fails. Therefore, stress concentration factors are used for components made of brittle materials subjected to both static loads as well as fluctuating loads.

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

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

How to calculate Minor Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor using this online calculator? To use this online calculator for Minor Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor, enter Major Axis of Elliptical Crack (a_e) & Theoretical Stress Concentration Factor (k_t) and hit the calculate button. Here is how the Minor Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor calculation can be explained with given input values -> 16000 = 0.03/(3-1).

FAQ

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

Minor axis of elliptical crack hole in flat plate given theoretical stress concentration factor is the length of the shortest axis passing through ellipse centre and is perpendicular to the length of the crack hole and is represented as b_e = a_e/(k_t-1) or Minor Axis of Elliptical Crack = Major Axis of Elliptical Crack/(Theoretical Stress Concentration Factor-1). 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 & 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 Minor Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor?

Minor axis of elliptical crack hole in flat plate given theoretical stress concentration factor is the length of the shortest axis passing through ellipse centre and is perpendicular to the length of the crack hole is calculated using Minor Axis of Elliptical Crack = Major Axis of Elliptical Crack/(Theoretical Stress Concentration Factor-1). To calculate Minor Axis of Elliptical Crack Hole in Flat Plate given Theoretical Stress Concentration Factor, you need Major Axis of Elliptical Crack (a_e) & Theoretical Stress Concentration Factor (k_t). With our tool, you need to enter the respective value for Major 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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