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

✖Force Amplitude for Fluctuating Stress is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.ⓘ Force Amplitude for Fluctuating Stress [P_a]			+10% -10%
✖Mean Force for Fluctuating Stress is defined as the average of the maximum force and the minimum force of the fluctuating forces.ⓘ Mean Force for Fluctuating Stress [P_m]			+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 Force Amplitude and Mean Force [m]

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Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force

Formula

`"m" = "P"_{"a"}/"P"_{"m"}`

Example

`"0.342105"="26N"/"76N"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress
m = P_a/P_m
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.
Force Amplitude for Fluctuating Stress - (Measured in Newton) - Force Amplitude for Fluctuating Stress is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.
Mean Force for Fluctuating Stress - (Measured in Newton) - Mean Force for Fluctuating Stress is defined as the average of the maximum force and the minimum force of the fluctuating forces.

STEP 1: Convert Input(s) to Base Unit

Force Amplitude for Fluctuating Stress: 26 Newton --> 26 Newton No Conversion Required
Mean Force for Fluctuating Stress: 76 Newton --> 76 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = P_a/P_m --> 26/76

Evaluating ... ...

m = 0.342105263157895

STEP 3: Convert Result to Output's Unit

0.342105263157895 --> No Conversion Required

FINAL ANSWER

0.342105263157895 ≈ 0.342105 <-- Slope of modified Goodman Line

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Soderberg and Goodman Lines » Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force

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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 Force Amplitude and Mean Force Formula

Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress
m = P_a/P_m

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 Force Amplitude and Mean Force?

Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force calculator uses Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress to calculate the Slope of modified Goodman Line, Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force is defined as the ratio of force amplitude to mean force. Slope of modified Goodman Line is denoted by m symbol.

How to calculate Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force using this online calculator? To use this online calculator for Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force, enter Force Amplitude for Fluctuating Stress (P_a) & Mean Force for Fluctuating Stress (P_m) and hit the calculate button. Here is how the Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force calculation can be explained with given input values -> 0.342105 = 26/76.

FAQ

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

Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force is defined as the ratio of force amplitude to mean force and is represented as m = P_a/P_m or Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress. Force Amplitude for Fluctuating Stress is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads & Mean Force for Fluctuating Stress is defined as the average of the maximum force and the minimum force of the fluctuating forces.

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

Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force is defined as the ratio of force amplitude to mean force is calculated using Slope of modified Goodman Line = Force Amplitude for Fluctuating Stress/Mean Force for Fluctuating Stress. To calculate Slope of Line OE in Modified Goodman Diagram given Force Amplitude and Mean Force, you need Force Amplitude for Fluctuating Stress (P_a) & Mean Force for Fluctuating Stress (P_m). With our tool, you need to enter the respective value for Force Amplitude for Fluctuating Stress & Mean Force for Fluctuating Stress 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 Force Amplitude for Fluctuating Stress & Mean Force for Fluctuating Stress. 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 = Bending Moment Amplitude/Mean Bending Moment

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