Force Applied at End of Spring Calculator

✖Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly.ⓘ Nip in Leaf Spring [C]			+10% -10%
✖Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity of Spring [E]			+10% -10%
✖Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.ⓘ Total Number of Leaves [n]			+10% -10%
✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of Leaf [b]			+10% -10%
✖Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.ⓘ Thickness of Leaf [t]			+10% -10%
✖The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%

✖Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.ⓘ Force Applied at End of Spring [P]

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Force Applied at End of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3))
P = C*(E*n*b*(t^3))/(2*(L^3))
This formula uses 7 Variables

Variables Used

Force Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.
Nip in Leaf Spring - (Measured in Meter) - Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.
Total Number of Leaves - Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.
Length of Cantilever of Leaf Spring - (Measured in Meter) - The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.

STEP 1: Convert Input(s) to Base Unit

Nip in Leaf Spring: 13.5 Millimeter --> 0.0135 Meter (Check conversion here)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Total Number of Leaves: 18 --> No Conversion Required
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = C*(E*n*b*(t^3))/(2*(L^3)) --> 0.0135*(207000000000*18*0.108*(0.012^3))/(2*(0.5^3))

Evaluating ... ...

P = 37549.495296

STEP 3: Convert Result to Output's Unit

37549.495296 Newton --> No Conversion Required

FINAL ANSWER

37549.495296 ≈ 37549.5 Newton <-- Force Applied at End of Leaf Spring

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Nipping of Leaf Spring Calculators

Length of Cantilever given Initial Nip of Leaf Spring

LaTeX Go Length of Cantilever of Leaf Spring = (Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)/(2*Force Applied at End of Leaf Spring))^(1/3)

Force Applied at End of Spring

LaTeX Go Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3))

Modulus of Elasticity given Initial Nip of Spring

LaTeX Go Modulus of Elasticity of Spring = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Nip in Leaf Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)

Initial Nip in Leaf Spring

LaTeX Go Nip in Leaf Spring = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*Thickness of Leaf^3)

Force Applied at End of Spring Formula

LaTeX Go

Define Nip of the Spring?

The initial gap C between the extra full-length leaf and the graduated-length leaf before the assembly, is called a ‘nip’. Such pre-stressing, achieved by a difference in radii of curvature, is known as ‘nipping’. Nipping is common in automobile suspension springs.

How to Calculate Force Applied at End of Spring?

Force Applied at End of Spring calculator uses Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3)) to calculate the Force Applied at End of Leaf Spring, The Force Applied at End of Spring formula is defined as the total amount of net force acting at the end of leaf Spring. Force Applied at End of Leaf Spring is denoted by P symbol.

How to calculate Force Applied at End of Spring using this online calculator? To use this online calculator for Force Applied at End of Spring, enter Nip in Leaf Spring (C), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L) and hit the calculate button. Here is how the Force Applied at End of Spring calculation can be explained with given input values -> 37549.5 = 0.0135*(207000000000*18*0.108*(0.012^3))/(2*(0.5^3)).

FAQ

What is Force Applied at End of Spring?

The Force Applied at End of Spring formula is defined as the total amount of net force acting at the end of leaf Spring and is represented as P = C*(E*n*b*(t^3))/(2*(L^3)) or Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3)). Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly, Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it, Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring, Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring & The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.

How to calculate Force Applied at End of Spring?

The Force Applied at End of Spring formula is defined as the total amount of net force acting at the end of leaf Spring is calculated using Force Applied at End of Leaf Spring = Nip in Leaf Spring*(Modulus of Elasticity of Spring*Total Number of Leaves*Width of Leaf*(Thickness of Leaf^3))/(2*(Length of Cantilever of Leaf Spring^3)). To calculate Force Applied at End of Spring, you need Nip in Leaf Spring (C), Modulus of Elasticity of Spring (E), Total Number of Leaves (n), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L). With our tool, you need to enter the respective value for Nip in Leaf Spring, Modulus of Elasticity of Spring, Total Number of Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever of Leaf 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 Force Applied at End of Leaf Spring?

In this formula, Force Applied at End of Leaf Spring uses Nip in Leaf Spring, Modulus of Elasticity of Spring, Total Number of Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever of Leaf Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

Force Applied at End of Leaf Spring = Pre Load for Leaf Spring*(Total Number of Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves))/(2*Number of Graduated Length Leaves*Number of Full length Leaves)

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