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

✖Stress amplitude for fluctuating load is defined as the amount of stress deviation from the mean stress and is also called the alternating component of stress in fluctuating loads.ⓘ Stress Amplitude for Fluctuating Load [σ_a]			+10% -10%
✖Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress.ⓘ Mean Stress for Fluctuating Load [σ_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 Stress Amplitude and Mean Stress [m]

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

STEP 0: Pre-Calculation Summary

Formula Used

Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load
m = σ_a/σ_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.
Stress Amplitude for Fluctuating Load - (Measured in Pascal) - Stress amplitude for fluctuating load is defined as the amount of stress deviation from the mean stress and is also called the alternating component of stress in fluctuating loads.
Mean Stress for Fluctuating Load - (Measured in Pascal) - Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress.

STEP 1: Convert Input(s) to Base Unit

Stress Amplitude for Fluctuating Load: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion here)
Mean Stress for Fluctuating Load: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = σ_a/σ_m --> 30000000/50000000

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 00.004 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 Stress Amplitude and Mean Stress Formula

Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load
m = σ_a/σ_m

What is Goodman Line?

The Godman line is a concept in the field of materials science, specifically related to the behavior of metals under fatigue loading. It represents the boundary between two distinct failure modes: one where failure is dominated by crack initiation and propagation due to cyclic stresses, and another where failure occurs due to a smooth, stable behavior without significant crack growth. The Godman line helps in understanding how materials behave under different loading conditions and guides the design of more durable materials and structures.

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

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

How to calculate Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress using this online calculator? To use this online calculator for Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress, enter Stress Amplitude for Fluctuating Load (σ_a) & Mean Stress for Fluctuating Load (σ_m) and hit the calculate button. Here is how the Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress calculation can be explained with given input values -> 0.6 = 30000000/50000000.

FAQ

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

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress is defined as the ratio of stress amplitude to mean stress and is represented as m = σ_a/σ_m or Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load. Stress amplitude for fluctuating load is defined as the amount of stress deviation from the mean stress and is also called the alternating component of stress in fluctuating loads & Mean Stress for Fluctuating Load is defined as the amount of mean stress acting when a material or component is subjected to fluctuating stress.

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

Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress is defined as the ratio of stress amplitude to mean stress is calculated using Slope of modified Goodman Line = Stress Amplitude for Fluctuating Load/Mean Stress for Fluctuating Load. To calculate Slope of Line OE in Modified Goodman Diagram given Stress Amplitude and Mean Stress, you need Stress Amplitude for Fluctuating Load (σ_a) & Mean Stress for Fluctuating Load (σ_m). With our tool, you need to enter the respective value for Stress Amplitude for Fluctuating Load & Mean Stress for Fluctuating Load 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 Stress Amplitude for Fluctuating Load & Mean Stress for Fluctuating Load. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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