Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment Calculator

✖The Bending Moment Amplitude is defined as the alternating component of bending moment in fluctuating loads.ⓘ Bending Moment Amplitude [M_ba]			+10% -10%
✖The Mean Bending Moment is the average or the mean value of the fluctuating bending moment.ⓘ Mean Bending Moment [M_bm]			+10% -10%

✖Slope of modified Goodman Line is the tan of the inclination of the modified goodman line.ⓘ Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment [m]

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Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of modified Goodman Line = Bending Moment Amplitude/Mean Bending Moment
m = M_ba/M_bm
This formula uses 3 Variables

Variables Used

Slope of modified Goodman Line - Slope of modified Goodman Line is the tan of the inclination of the modified goodman line.
Bending Moment Amplitude - (Measured in Newton Meter) - The Bending Moment Amplitude is defined as the alternating component of bending moment in fluctuating loads.
Mean Bending Moment - (Measured in Newton Meter) - The Mean Bending Moment is the average or the mean value of the fluctuating bending moment.

STEP 1: Convert Input(s) to Base Unit

Bending Moment Amplitude: 720 Newton Millimeter --> 0.72 Newton Meter (Check conversion here)
Mean Bending Moment: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = M_ba/M_bm --> 0.72/1.2

Evaluating ... ...

m = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Slope of modified Goodman Line

(Calculation completed in 00.020 seconds)

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< Soderberg and Goodman Lines Calculators

Soderberg Line Tensile Yield Strength

Go Tensile Yield Strength for Fluctuating load = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit)

Soderberg Line Amplitude Stress

Go Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load)

Soderberg Line Endurance Limit

Go Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Tensile Yield Strength for Fluctuating load)

Soderberg Line Mean stress

Go Mean Stress for Fluctuating Load = Tensile Yield Strength for Fluctuating load*(1-Stress Amplitude for Fluctuating Load/Endurance Limit)

Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment Formula

Slope of modified Goodman Line = Bending Moment Amplitude/Mean Bending Moment
m = M_ba/M_bm

What is Mean bending Moment?

The mean bending moment is the average value of the bending moment acting on a beam or structural element during a load cycle. It is calculated by averaging the maximum and minimum bending moments over the entire period of loading. The mean bending moment is crucial in fatigue analysis, as it influences the overall stress state of the material, affecting its deformation and potential for failure under repeated loading.

How to Calculate Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment?

Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment calculator uses Slope of modified Goodman Line = Bending Moment Amplitude/Mean Bending Moment to calculate the Slope of modified Goodman Line, Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment is defined as the ratio of bending moment amplitude to mean bending moment. Slope of modified Goodman Line is denoted by m symbol.

How to calculate Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment using this online calculator? To use this online calculator for Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment, enter Bending Moment Amplitude (M_ba) & Mean Bending Moment (M_bm) and hit the calculate button. Here is how the Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment calculation can be explained with given input values -> 1.5 = 0.72/1.2.

FAQ

What is Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment?

Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment is defined as the ratio of bending moment amplitude to mean bending moment and is represented as m = M_ba/M_bm or Slope of modified Goodman Line = Bending Moment Amplitude/Mean Bending Moment. The Bending Moment Amplitude is defined as the alternating component of bending moment in fluctuating loads & The Mean Bending Moment is the average or the mean value of the fluctuating bending moment.

How to calculate Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment?

Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment is defined as the ratio of bending moment amplitude to mean bending moment is calculated using Slope of modified Goodman Line = Bending Moment Amplitude/Mean Bending Moment. To calculate Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment, you need Bending Moment Amplitude (M_ba) & Mean Bending Moment (M_bm). With our tool, you need to enter the respective value for Bending Moment Amplitude & Mean Bending Moment 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 Slope of modified Goodman Line?

In this formula, Slope of modified Goodman Line uses Bending Moment Amplitude & Mean Bending Moment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load
Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress

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