Total Number of Leaves given Initial Nip of Leaf Spring Calculator

✖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 Leaf Spring [P]			+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%
✖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%
✖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%
✖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%

✖Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.ⓘ Total Number of Leaves given Initial Nip of Leaf Spring [n]

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Total Number of Leaves given Initial Nip of Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Total Number of Leaves - Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.
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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Nip in Leaf Spring: 13.5 Millimeter --> 0.0135 Meter (Check conversion here)
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = 2*P*L^3/(E*C*b*t^3) --> 2*37500*0.5^3/(207000000000*0.0135*0.108*0.012^3)

Evaluating ... ...

n = 17.9762735738263

STEP 3: Convert Result to Output's Unit

17.9762735738263 --> No Conversion Required

FINAL ANSWER

17.9762735738263 ≈ 17.97627 <-- Total Number of Leaves

(Calculation completed in 00.007 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)

Total Number of Leaves given Initial Nip of Leaf 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 Total Number of Leaves given Initial Nip of Leaf Spring?

Total Number of Leaves given Initial Nip of Leaf Spring calculator uses Total Number of Leaves = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Nip in Leaf Spring*Width of Leaf*Thickness of Leaf^3) to calculate the Total Number of Leaves, Total Number of Leaves given Initial Nip of Leaf Spring is defined as the sum of graduated length leaves and extra full length leaves in a multi-leaf spring. Total Number of Leaves is denoted by n symbol.

How to calculate Total Number of Leaves given Initial Nip of Leaf Spring using this online calculator? To use this online calculator for Total Number of Leaves given Initial Nip of Leaf Spring, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Nip in Leaf Spring (C), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Total Number of Leaves given Initial Nip of Leaf Spring calculation can be explained with given input values -> 17.97627 = 2*37500*0.5^3/(207000000000*0.0135*0.108*0.012^3).

FAQ

What is Total Number of Leaves given Initial Nip of Leaf Spring?

Total Number of Leaves given Initial Nip of Leaf Spring is defined as the sum of graduated length leaves and extra full length leaves in a multi-leaf spring and is represented as n = 2*P*L^3/(E*C*b*t^3) or Total Number of Leaves = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Nip in Leaf Spring*Width of Leaf*Thickness of Leaf^3). Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, 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, Nip in Leaf Spring is defined as the initial gap between the extra full-length leaf and the graduated-length leaf before the assembly, 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.

How to calculate Total Number of Leaves given Initial Nip of Leaf Spring?

Total Number of Leaves given Initial Nip of Leaf Spring is defined as the sum of graduated length leaves and extra full length leaves in a multi-leaf spring is calculated using Total Number of Leaves = 2*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Nip in Leaf Spring*Width of Leaf*Thickness of Leaf^3). To calculate Total Number of Leaves given Initial Nip of Leaf Spring, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Nip in Leaf Spring (C), Width of Leaf (b) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Nip in Leaf Spring, Width of Leaf & Thickness of Leaf 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 Total Number of Leaves?

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

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

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