Total Number of Leaves given Pre-Load Required to Close Gap Calculator

✖Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.ⓘ Number of Graduated Length Leaves [n_g]			+10% -10%
✖Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.ⓘ Number of Full length Leaves [n_f]			+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 Leaf Spring [P]			+10% -10%
✖Pre load for leaf spring is defined as the force that is required to be maintained between the leaves of a multi-leaf spring to close the gap.ⓘ Pre Load for Leaf Spring [P_i]			+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 Pre-Load Required to Close Gap [n]

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Total Number of Leaves given Pre-Load Required to Close Gap Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
n = 2*n_g*n_f*P/(P_i*(3*n_f+2*n_g))
This formula uses 5 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.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
Number of Full length Leaves - Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.
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.
Pre Load for Leaf Spring - (Measured in Newton) - Pre load for leaf spring is defined as the force that is required to be maintained between the leaves of a multi-leaf spring to close the gap.

STEP 1: Convert Input(s) to Base Unit

Number of Graduated Length Leaves: 15 --> No Conversion Required
Number of Full length Leaves: 3 --> No Conversion Required
Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
Pre Load for Leaf Spring: 4800 Newton --> 4800 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = 2*n_g*n_f*P/(P_i*(3*n_f+2*n_g)) --> 2*15*3*37500/(4800*(3*3+2*15))

Evaluating ... ...

n = 18.0288461538462

STEP 3: Convert Result to Output's Unit

18.0288461538462 --> No Conversion Required

FINAL ANSWER

18.0288461538462 ≈ 18.02885 <-- Total Number of Leaves

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Nipping of Leaf Spring » Total Number of Leaves given Pre-Load Required to Close Gap

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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 Pre-Load Required to Close Gap 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 Pre-Load Required to Close Gap?

Total Number of Leaves given Pre-Load Required to Close Gap calculator uses 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)) to calculate the Total Number of Leaves, The Total Number of Leaves given Pre-Load Required to Close Gap formula 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 Pre-Load Required to Close Gap using this online calculator? To use this online calculator for Total Number of Leaves given Pre-Load Required to Close Gap, enter Number of Graduated Length Leaves (n_g), Number of Full length Leaves (n_f), Force Applied at End of Leaf Spring (P) & Pre Load for Leaf Spring (P_i) and hit the calculate button. Here is how the Total Number of Leaves given Pre-Load Required to Close Gap calculation can be explained with given input values -> 18.02885 = 2*15*3*37500/(4800*(3*3+2*15)).

FAQ

What is Total Number of Leaves given Pre-Load Required to Close Gap?

The Total Number of Leaves given Pre-Load Required to Close Gap formula 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*n_g*n_f*P/(P_i*(3*n_f+2*n_g)) or 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)). Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring, Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring & Pre load for leaf spring is defined as the force that is required to be maintained between the leaves of a multi-leaf spring to close the gap.

How to calculate Total Number of Leaves given Pre-Load Required to Close Gap?

The Total Number of Leaves given Pre-Load Required to Close Gap formula 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*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)). To calculate Total Number of Leaves given Pre-Load Required to Close Gap, you need Number of Graduated Length Leaves (n_g), Number of Full length Leaves (n_f), Force Applied at End of Leaf Spring (P) & Pre Load for Leaf Spring (P_i). With our tool, you need to enter the respective value for Number of Graduated Length Leaves, Number of Full length Leaves, Force Applied at End of Leaf Spring & Pre Load for 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 Total Number of Leaves?

In this formula, Total Number of Leaves uses Number of Graduated Length Leaves, Number of Full length Leaves, Force Applied at End of Leaf Spring & Pre Load for Leaf Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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