Initial 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%
✖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%

✖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.ⓘ Initial Pre-Load Required to Close Gap [P_i]

⎘ Copy

👎

Formula

✖

Initial Pre-Load Required to Close Gap

Formula

`"P"_{"i"} = 2*"n"_{"g"}*"n"_{"f"}*"P"/("n"*(3*"n"_{"f"}+2*"n"_{"g"}))`

Example

`"4807.692N"=2*"15"*"3"*"37500N"/("18"*(3*"3"+2*"15"))`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF

Initial Pre-Load Required to Close Gap Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pre load for leaf spring = 2*Number of Graduated Length Leaves*Number of Full length Leaves*Force Applied at End of Leaf Spring/(Total Number of Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves))
P_i = 2*n_g*n_f*P/(n*(3*n_f+2*n_g))
This formula uses 5 Variables

Variables Used

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

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
Total Number of Leaves: 18 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = 2*n_g*n_f*P/(n*(3*n_f+2*n_g)) --> 2*15*3*37500/(18*(3*3+2*15))

Evaluating ... ...

P_i = 4807.69230769231

STEP 3: Convert Result to Output's Unit

4807.69230769231 Newton --> No Conversion Required

FINAL ANSWER

4807.69230769231 ≈ 4807.692 Newton <-- Pre load for leaf spring

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Nipping of Leaf Spring » Initial Pre-Load Required to Close Gap

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 12 Nipping of Leaf Spring Calculators

Number of Full Length Leaves given Initial Pre-load Required to Close Gap

Go Number of Full length Leaves = (2*Number of Graduated Length Leaves*Total Number of Leaves*Pre load for leaf spring)/(2*Number of Graduated Length Leaves*Force Applied at End of Leaf Spring-3*Pre load for leaf spring*Total Number of Leaves)

Number of Graduated length leaves given Initial Pre-Load required to close gap

Go Number of Graduated Length Leaves = (3*Total Number of Leaves*Number of Full length Leaves*Pre load for leaf spring)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre load for leaf spring))

Force Applied at End of Spring given Pre-Load Required to Close Gap

Go 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)

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

Go 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))

Initial Pre-Load Required to Close Gap

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

Length of Cantilever given Initial Nip of Leaf Spring

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)

Thickness of Each Leaf given Initial Nip of Leaf Spring

Go Thickness of Leaf = (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*Nip in Leaf Spring))^(1/3)

Force Applied at End of Spring

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))

Total Number of Leaves given Initial Nip of Leaf Spring

Go 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)

Width of Each Leaf given Initial Nip of Leaf Spring

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

Modulus of Elasticity given Initial Nip of Spring

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

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)

Initial Pre-Load Required to Close Gap Formula

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 Initial Pre-Load Required to Close Gap?

Initial Pre-Load Required to Close Gap calculator uses Pre load for leaf spring = 2*Number of Graduated Length Leaves*Number of Full length Leaves*Force Applied at End of Leaf Spring/(Total Number of Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)) to calculate the Pre load for leaf spring, The Initial Pre-Load Required to Close Gap formula is defined as load generated due to Wrench Torque. Pre load for leaf spring is denoted by P_i symbol.

How to calculate Initial Pre-Load Required to Close Gap using this online calculator? To use this online calculator for Initial 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) & Total Number of Leaves (n) and hit the calculate button. Here is how the Initial Pre-Load Required to Close Gap calculation can be explained with given input values -> 4807.692 = 2*15*3*37500/(18*(3*3+2*15)).

FAQ

What is Initial Pre-Load Required to Close Gap?

The Initial Pre-Load Required to Close Gap formula is defined as load generated due to Wrench Torque and is represented as P_i = 2*n_g*n_f*P/(n*(3*n_f+2*n_g)) or Pre load for leaf spring = 2*Number of Graduated Length Leaves*Number of Full length Leaves*Force Applied at End of Leaf Spring/(Total Number of Leaves*(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 & Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.

How to calculate Initial Pre-Load Required to Close Gap?

The Initial Pre-Load Required to Close Gap formula is defined as load generated due to Wrench Torque is calculated using Pre load for leaf spring = 2*Number of Graduated Length Leaves*Number of Full length Leaves*Force Applied at End of Leaf Spring/(Total Number of Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)). To calculate Initial 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) & Total Number of Leaves (n). 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 & Total Number of Leaves and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search