Force Amplitude of Spring Calculator

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Design Against Fluctuating Load

Multi-Leaf Spring

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Stress and Deflections in Springs

✖The Maximum Force of Spring is defined as the maximum of the fluctuating Forces acting onto or exerted by the spring.ⓘ Maximum Force of Spring [P_max]			+10% -10%
✖Minimum Force of Spring is defined as the minimum force of the Fluctuating forces onto a spring or by a spring.ⓘ Minimum Force of Spring [P_min]			+10% -10%

✖The Spring Force Amplitude 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 of Spring [P_a]

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Formula

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Force Amplitude of Spring

Formula

`"P"_{"a"} = .5*("P"_{"max"}-"P"_{"min"})`

Example

`"50.6N"=.5*("151N"-"49.8N")`

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Download Design of Automobile Elements Formula PDF

Force Amplitude of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring)
P_a = .5*(P_max-P_min)
This formula uses 3 Variables

Variables Used

Spring Force Amplitude - (Measured in Newton) - The Spring Force Amplitude is defined as the amount of force deviation from the mean force and is also called the alternating component of force in fluctuating loads.
Maximum Force of Spring - (Measured in Newton) - The Maximum Force of Spring is defined as the maximum of the fluctuating Forces acting onto or exerted by the spring.
Minimum Force of Spring - (Measured in Newton) - Minimum Force of Spring is defined as the minimum force of the Fluctuating forces onto a spring or by a spring.

STEP 1: Convert Input(s) to Base Unit

Maximum Force of Spring: 151 Newton --> 151 Newton No Conversion Required
Minimum Force of Spring: 49.8 Newton --> 49.8 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_a = .5*(P_max-P_min) --> .5*(151-49.8)

Evaluating ... ...

P_a = 50.6

STEP 3: Convert Result to Output's Unit

50.6 Newton --> No Conversion Required

FINAL ANSWER

50.6 Newton <-- Spring Force Amplitude

(Calculation completed in 00.004 seconds)

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Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 22 Design Against Fluctuating Load Calculators

Diameter of Spring Wire given Torsional Stress Amplitude

Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Torsional Stress Amplitude in Spring))^(1/3)

Mean Coil Diameter of Spring given Torsional Stress Amplitude

Go Mean Coil Diameter of Spring = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)

Force Amplitude on Spring given Torsional Stress Amplitude

Go Spring Force Amplitude = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)

Torsional Stress Amplitude in Spring

Go Torsional Stress Amplitude in Spring = 8*Shear Stress Correction Factor of Spring*Spring Force Amplitude*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)

Diameter of Spring Wire given Mean Stress in Spring

Go Diameter of spring wire = (8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Mean Shear Stress in Spring))^(1/3)

Mean Diameter of Spring coil given Mean Stress on Spring

Go Mean Coil Diameter of Spring = (Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force))

Shear Stress Correction Factor for Spring given Mean Stress

Go Shear Stress Correction Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Mean Spring Force*Mean Coil Diameter of Spring)

Mean Force on Spring given Mean Stress

Go Mean Spring Force = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)

Spring Index given Torsional Stress Amplitude

Go Spring Index = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Spring Force Amplitude)

Mean Stress on Spring

Go Mean Shear Stress in Spring = 8*Shear Stress Correction Factor of Spring*Mean Spring Force*Mean Coil Diameter of Spring/(pi*Diameter of spring wire^3)

Shear Stress Factor for Spring given Torsional stress amplitude

Go Wahl Factor of Spring = Mean Shear Stress in Spring*(pi*Diameter of spring wire^3)/(8*Spring Force Amplitude*Mean Coil Diameter of Spring)

Spring Index given Mean Stress on spring

Go Spring Index = Mean Shear Stress in Spring*(pi*Diameter of spring wire^2)/(8*Shear Stress Correction Factor of Spring*Mean Spring Force)

Force Amplitude of Spring

Go Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring)

Minimum Force on Spring given Force Amplitude

Go Minimum Force of Spring = Maximum Force of Spring-(2*Spring Force Amplitude)

Maximum Force on Spring given Force Amplitude

Go Maximum Force of Spring = 2*Spring Force Amplitude+Minimum Force of Spring

Mean Force on spring

Go Mean Spring Force = (Minimum Force of Spring+Maximum Force of Spring)/2

Maximum Force on Spring given Mean Force

Go Maximum Force of Spring = 2*Mean Spring Force-Minimum Force of Spring

Minimum Force on Spring given Mean Force

Go Minimum Force of Spring = 2*Mean Spring Force-Maximum Force of Spring

Ultimate Tensile Stress of Patented and Cold drawn Steel wires

Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.42

Shear Yield Strength of Patented and Cold-drawn Steel Wires

Go Shear yield strength of spring wire = 0.42*Ultimate tensile strength of spring

Ultimate Tensile Stress of Ol hardened tempered Steel wires

Go Ultimate tensile strength of spring = Shear yield strength of spring wire/0.45

Shear Yield Strength of Oil-hardened Tempered Steel Wires

Go Shear yield strength of spring wire = 0.45*Ultimate tensile strength of spring

Force Amplitude of Spring Formula

Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring)
P_a = .5*(P_max-P_min)

Define a Mechanical Spring?

A metal wire spring that functions in a spring mechanism that compresses, extends,rotates, slides, pulls and exerts force when an equal or greater force is applied. A spring mechanism can exert pressure, rotational force or pulling strength in a variety of ways.

How to Calculate Force Amplitude of Spring?

Force Amplitude of Spring calculator uses Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring) to calculate the Spring Force Amplitude, The Force Amplitude of Spring formula is defined as the average of the difference in between the maximum and the minimum forces among the fluctuating forces. Spring Force Amplitude is denoted by P_a symbol.

How to calculate Force Amplitude of Spring using this online calculator? To use this online calculator for Force Amplitude of Spring, enter Maximum Force of Spring (P_max) & Minimum Force of Spring (P_min) and hit the calculate button. Here is how the Force Amplitude of Spring calculation can be explained with given input values -> 50.6 = .5*(151-49.8).

FAQ

What is Force Amplitude of Spring?

The Force Amplitude of Spring formula is defined as the average of the difference in between the maximum and the minimum forces among the fluctuating forces and is represented as P_a = .5*(P_max-P_min) or Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring). The Maximum Force of Spring is defined as the maximum of the fluctuating Forces acting onto or exerted by the spring & Minimum Force of Spring is defined as the minimum force of the Fluctuating forces onto a spring or by a spring.

How to calculate Force Amplitude of Spring?

The Force Amplitude of Spring formula is defined as the average of the difference in between the maximum and the minimum forces among the fluctuating forces is calculated using Spring Force Amplitude = .5*(Maximum Force of Spring-Minimum Force of Spring). To calculate Force Amplitude of Spring, you need Maximum Force of Spring (P_max) & Minimum Force of Spring (P_min). With our tool, you need to enter the respective value for Maximum Force of Spring & Minimum Force of Spring 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 Spring Force Amplitude?

In this formula, Spring Force Amplitude uses Maximum Force of Spring & Minimum Force of Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Spring Force Amplitude = Torsional Stress Amplitude in Spring*(pi*Diameter of spring wire^3)/(8*Shear Stress Correction Factor of Spring*Mean Coil Diameter of Spring)

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