Goodman Line Mean Stress Calculator

✖Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.ⓘ Ultimate Tensile strength [σ_ut]			+10% -10%
✖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%
✖The Endurance Limit of a material is defined as the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure.ⓘ Endurance Limit [S_e]			+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.ⓘ Goodman Line Mean Stress [σ_m]

⎘ Copy

👎

Formula

Reset

👍

Download Mechanical Formula PDF PDF Image

Goodman Line Mean Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit)
σ_m = σ_ut*(1-σ_a/S_e)
This formula uses 4 Variables

Variables Used

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.
Ultimate Tensile strength - (Measured in Pascal) - Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled.
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.
Endurance Limit - (Measured in Pascal) - The Endurance Limit of a material is defined as the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure.

STEP 1: Convert Input(s) to Base Unit

Ultimate Tensile strength: 440 Newton per Square Millimeter --> 440000000 Pascal (Check conversion here)
Stress Amplitude for Fluctuating Load: 30 Newton per Square Millimeter --> 30000000 Pascal (Check conversion here)
Endurance Limit: 33.84615 Newton per Square Millimeter --> 33846150 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_m = σ_ut*(1-σ_a/S_e) --> 440000000*(1-30000000/33846150)

Evaluating ... ...

σ_m = 49999955.6818132

STEP 3: Convert Result to Output's Unit

49999955.6818132 Pascal -->49.9999556818132 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

49.9999556818132 ≈ 49.99996 Newton per Square Millimeter <-- Mean Stress for Fluctuating Load

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Design against Fluctuating Load » Soderberg and Goodman Lines » Goodman Line Mean Stress

Credits

Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has verified this Calculator and 200+ more calculators!

< 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 Mean Stress Formula

Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit)
σ_m = σ_ut*(1-σ_a/S_e)

What is Mean Stress?

Mean stress is the average of the maximum and minimum stresses experienced by a material during cyclic loading. It represents the overall level of stress that is applied to the material, affecting its overall deformation and potential for failure. Mean stress plays a crucial role in fatigue analysis because it influences how the material will behave under repeated loading, with higher mean stresses potentially reducing the material’s fatigue life.

How to Calculate Goodman Line Mean Stress?

Goodman Line Mean Stress calculator uses Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit) to calculate the Mean Stress for Fluctuating Load, Goodman Line Mean Stress is defined as the amount of mean stress acting on a material when the material is subjected to fluctuating stress or under fatigue loading and this value is obtained using Goodman line diagram. Mean Stress for Fluctuating Load is denoted by σ_m symbol.

How to calculate Goodman Line Mean Stress using this online calculator? To use this online calculator for Goodman Line Mean Stress, enter Ultimate Tensile strength (σ_ut), Stress Amplitude for Fluctuating Load (σ_a) & Endurance Limit (S_e) and hit the calculate button. Here is how the Goodman Line Mean Stress calculation can be explained with given input values -> 0.000181 = 440000000*(1-30000000/33846150).

FAQ

What is Goodman Line Mean Stress?

Goodman Line Mean Stress is defined as the amount of mean stress acting on a material when the material is subjected to fluctuating stress or under fatigue loading and this value is obtained using Goodman line diagram and is represented as σ_m = σ_ut*(1-σ_a/S_e) or Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit). Ultimate Tensile Strength (UTS) is the maximum stress that a material can withstand while being stretched or pulled, 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 & The Endurance Limit of a material is defined as the stress below which a material can endure an infinite number of repeated load cycles without exhibiting failure.

How to calculate Goodman Line Mean Stress?

Goodman Line Mean Stress is defined as the amount of mean stress acting on a material when the material is subjected to fluctuating stress or under fatigue loading and this value is obtained using Goodman line diagram is calculated using Mean Stress for Fluctuating Load = Ultimate Tensile strength*(1-Stress Amplitude for Fluctuating Load/Endurance Limit). To calculate Goodman Line Mean Stress, you need Ultimate Tensile strength (σ_ut), Stress Amplitude for Fluctuating Load (σ_a) & Endurance Limit (S_e). With our tool, you need to enter the respective value for Ultimate Tensile strength, Stress Amplitude for Fluctuating Load & Endurance Limit 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 Mean Stress for Fluctuating Load?

In this formula, Mean Stress for Fluctuating Load uses Ultimate Tensile strength, Stress Amplitude for Fluctuating Load & Endurance Limit. We can use 2 other way(s) to calculate the same, which is/are as follows -

Mean Stress for Fluctuating Load = Tensile Yield Strength for Fluctuating load*(1-Stress Amplitude for Fluctuating Load/Endurance Limit)
Mean Stress for Fluctuating Load = Limiting Value of Mean Stress/Design Factor of Safety

Home

FREE PDFs

🔍 Search