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 = Mba/Mbm
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: 1800 Newton Millimeter --> 1.8 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 = Mba/Mbm --> 1.8/1.2
Evaluating ... ...
m = 1.5
STEP 3: Convert Result to Output's Unit
1.5 --> No Conversion Required
FINAL ANSWER
1.5 <-- Slope of modified Goodman Line
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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15 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)
Goodman Line Ultimate Tensile Strength
Go Ultimate Tensile strength = Mean Stress for Fluctuating Load/(1-Stress Amplitude for Fluctuating Load/Endurance Limit)
Goodman Line Amplitude Stress
Go Stress Amplitude for Fluctuating Load = Endurance Limit*(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength)
Goodman Line Endurance Limit
Go Endurance Limit = Stress Amplitude for Fluctuating Load/(1-Mean Stress for Fluctuating Load/Ultimate Tensile strength)
Goodman Line Mean Stress
Go Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit)
Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force
Go Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress
Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress
Go Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load
Permissible Stress Amplitude for Fluctuating Load
Go Stress Amplitude for Fluctuating Load = Limiting Value of Stress Amplitude/Design Factor of Safety
Limiting Value of Stress Amplitude
Go Limiting Value of Stress Amplitude = Design Factor of Safety*Stress Amplitude for Fluctuating Load
Permissible Mean Stress for Fluctuating Load
Go Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety
Limiting Value of Mean Stress
Go Limiting Value of Mean Stress = Design Factor of Safety*Mean Stress for Fluctuating Load
Slope of Line OE in Modified Goodman Diagram given Bending Amplitude and Mean Bending Moment
Go Slope of modified Goodman Line = Bending Moment Amplitude/Mean Bending Moment

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 = Mba/Mbm

What is endurance limit?

The fatigue or endurance limit of a material is defined as the maximum amplitude of completely reversed stress that the standard specimen can sustain for an unlimited number of cycles without fatigue failure.

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 (Mba) & Mean Bending Moment (Mbm) 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 = 1.8/1.2.

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 = Mba/Mbm 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 (Mba) & Mean Bending Moment (Mbm). 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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