Free Length of Engine Valve Spring Calculator

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Design of IC Engine Components

Air-Standard Cycles

Engine Performance Parameters

Fuel Injection in IC Engine

Fundamentals of IC Engine

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✖Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the spring.ⓘ Total Coils in Valve Spring [N_t]			+10% -10%
✖Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.ⓘ Wire Diameter of Valve Spring [d_wire]			+10% -10%
✖Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.ⓘ Maximum Compression in Valve Spring [x]			+10% -10%

✖Free Length of Valve Spring is defined as the axial length of an unloaded helical compression spring. In In this case, no external force acts on the spring.ⓘ Free Length of Engine Valve Spring [L_f]

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Formula

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Free Length of Engine Valve Spring

Formula

`"L"_{"f"} = "N"_{"t"}*"d"_{"wire"}+1.15*"x"`

Example

`"122.52mm"="15"*"5.5mm"+1.15*"34.8mm"`

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Free Length of Engine Valve Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring
L_f = N_t*d_wire+1.15*x
This formula uses 4 Variables

Variables Used

Free Length of Valve Spring - (Measured in Meter) - Free Length of Valve Spring is defined as the axial length of an unloaded helical compression spring. In In this case, no external force acts on the spring.
Total Coils in Valve Spring - Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the spring.
Wire Diameter of Valve Spring - (Measured in Meter) - Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring.
Maximum Compression in Valve Spring - (Measured in Meter) - Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.

STEP 1: Convert Input(s) to Base Unit

Total Coils in Valve Spring: 15 --> No Conversion Required
Wire Diameter of Valve Spring: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)
Maximum Compression in Valve Spring: 34.8 Millimeter --> 0.0348 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_f = N_t*d_wire+1.15*x --> 15*0.0055+1.15*0.0348

Evaluating ... ...

L_f = 0.12252

STEP 3: Convert Result to Output's Unit

0.12252 Meter -->122.52 Millimeter (Check conversion here)

FINAL ANSWER

122.52 Millimeter <-- Free Length of Valve Spring

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 25 Valve Spring Calculators

Diameter of Wire of Engine Valve Spring

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*((Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve)*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring))

Wahl Factor for Engine Valve Spring given Spring Index

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*(Initial Spring Force on Valve+Stiffness of Valve Spring*Lift of Valve))

Diameter of Coil of Engine Valve Spring given Torsional Shear Stress in Wire

Go Mean Coil Diameter of Valve Spring = Spring Index for Valve Spring*(sqrt((8*Wahl Factor of Valve Spring*(Axial Force on Valve Spring*Spring Index for Valve Spring))/(pi*Shear Stress in Valve Spring)))

Diameter of Wire of Engine Valve Spring given Maximum Compression in Spring

Go Wire Diameter of Valve Spring = ((8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Maximum Compression in Valve Spring))^(1/4)

Maximum Compression of Engine Valve Spring given Total Turns

Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*(Total Coils in Valve Spring-2)*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)

Maximum Compression of Engine Valve Spring given Number of Active Turns

Go Maximum Compression in Valve Spring = (8*Axial Force on Valve Spring*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)/(Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)

Solid Length of Engine Valve Spring

Go Solid Length of Valve Spring = (((Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring))+2)*Wire Diameter of Valve Spring

Diameter of Wire of Engine Valve Spring given Torsional Shear Stress in Wire

Go Wire Diameter of Valve Spring = sqrt((8*Wahl Factor of Valve Spring*Axial Force on Valve Spring*Spring Index for Valve Spring)/(pi*Shear Stress in Valve Spring))

Spring Index of Engine Valve Spring given Shear Stress, Maximum Force and Wire Diameter

Go Spring Index for Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Wahl Factor of Valve Spring*Axial Force on Valve Spring)

Wahl Factor for Engine Valve Spring given Mean Coil Diameter and Wire Diameter

Go Wahl Factor of Valve Spring = (pi*Shear Stress in Valve Spring*Wire Diameter of Valve Spring^2)/(8*Spring Index for Valve Spring*Axial Force on Valve Spring)

Diameter of Wire of Engine Valve Spring given Total Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*(Stiffness of Valve Spring*(Total Coils in Valve Spring-2)))/(Modulus of Rigidity of Valve Spring))^(0.25)

Diameter of Wire of Engine Valve Spring given Number of Active Turns of Spring

Go Wire Diameter of Valve Spring = ((8*Mean Coil Diameter of Valve Spring^3*Stiffness of Valve Spring*Active Coils in Valve Spring)/(Modulus of Rigidity of Valve Spring))^(0.25)

Stiffness of Engine Valve Spring given Total Turns of Spring

Go Stiffness of Valve Spring = (Modulus of Rigidity of Valve Spring*Wire Diameter of Valve Spring^4)/(8*Active Coils in Valve Spring*Mean Coil Diameter of Valve Spring^3)

Free Length of Engine Valve Spring

Go Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring

Natural Frequency of Vibration of Engine Valve Spring given its Mass and Stiffness

Go Natural Frequency Valve Spring = (sqrt(Stiffness of Valve Spring/Mass of Valve Spring))/2

Maximum Compression of Engine Valve Spring given its Free Length and Solid Length

Go Maximum Compression in Valve Spring = (Free Length of Valve Spring-Solid Length of Valve Spring)/(1.15)

Solid Length of Engine Valve Spring given its Free Length and Maximum Compression

Go Solid Length of Valve Spring = Free Length of Valve Spring-1.15*Maximum Compression in Valve Spring

Solid Length of Engine Valve Spring given Number of Active Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = (Active Coils in Valve Spring+2)*Wire Diameter of Valve Spring

Solid Length of Engine Valve Spring given Total Number of Turns of Spring and Wire Diameter

Go Solid Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring

Mass of Engine Valve Spring given its Natural Frequency of Vibration and Stiffness

Go Mass of Valve Spring = Stiffness of Valve Spring/(4*Natural Frequency Valve Spring^2)

Stiffness of Engine Valve Spring given its Natural Frequency of Vibration and Mass

Go Stiffness of Valve Spring = 4*Mass of Valve Spring*Natural Frequency Valve Spring^2

Total Gap between Coils of Engine Valve Spring given Maximum Compression of Spring

Go Total Axial Gap between Valve Spirng Coils = 0.15*Maximum Compression in Valve Spring

Maximum Compression of Engine Valve Spring given Total Gap between Coils of Spring

Go Maximum Compression in Valve Spring = Total Axial Gap between Valve Spirng Coils/0.15

Diameter of Wire of Engine Valve Spring given Mean Coil Diameter

Go Wire Diameter of Valve Spring = Mean Coil Diameter of Valve Spring/8

Mean Coil Diameter of Engine Valve Spring given Wire Diameter

Go Mean Coil Diameter of Valve Spring = 8*Wire Diameter of Valve Spring

Free Length of Engine Valve Spring Formula

Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring
L_f = N_t*d_wire+1.15*x

What is the purpose of a spring?

Spring is an elastic object that stores mechanical energy and releases it when the opposing force is removed. If you need to apply force to create movement or hold something in place without the use of engines or other powered means, springs could be the answer.

How to Calculate Free Length of Engine Valve Spring?

Free Length of Engine Valve Spring calculator uses Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring to calculate the Free Length of Valve Spring, Free length of engine valve spring is defined as the axial length of the engine valve spring including the solid length and the total gap between the coils or the length between the ends of the spring when the spring is not compressed or extended. Free Length of Valve Spring is denoted by L_f symbol.

How to calculate Free Length of Engine Valve Spring using this online calculator? To use this online calculator for Free Length of Engine Valve Spring, enter Total Coils in Valve Spring (N_t), Wire Diameter of Valve Spring (d_wire) & Maximum Compression in Valve Spring (x) and hit the calculate button. Here is how the Free Length of Engine Valve Spring calculation can be explained with given input values -> 122520 = 15*0.0055+1.15*0.0348.

FAQ

What is Free Length of Engine Valve Spring?

Free length of engine valve spring is defined as the axial length of the engine valve spring including the solid length and the total gap between the coils or the length between the ends of the spring when the spring is not compressed or extended and is represented as L_f = N_t*d_wire+1.15*x or Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring. Total Coils in Valve Spring is the total number of coils or turns of spring including the coils at the ends of the spring, Wire Diameter of Valve Spring is the diameter of the wire of a valve spring, which constitutes the coils of the spring & Maximum Compression in Valve Spring is the maximum amount of axial deflection in the valve spring.

How to calculate Free Length of Engine Valve Spring?

Free length of engine valve spring is defined as the axial length of the engine valve spring including the solid length and the total gap between the coils or the length between the ends of the spring when the spring is not compressed or extended is calculated using Free Length of Valve Spring = Total Coils in Valve Spring*Wire Diameter of Valve Spring+1.15*Maximum Compression in Valve Spring. To calculate Free Length of Engine Valve Spring, you need Total Coils in Valve Spring (N_t), Wire Diameter of Valve Spring (d_wire) & Maximum Compression in Valve Spring (x). With our tool, you need to enter the respective value for Total Coils in Valve Spring, Wire Diameter of Valve Spring & Maximum Compression in Valve Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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