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))
Pi = 2*ng*nf*P/(n*(3*nf+2*ng))
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
Pi = 2*ng*nf*P/(n*(3*nf+2*ng)) --> 2*15*3*37500/(18*(3*3+2*15))
Evaluating ... ...
Pi = 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)

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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)

Initial Pre-Load Required to Close Gap Formula

​LaTeX ​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))
Pi = 2*ng*nf*P/(n*(3*nf+2*ng))

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 Pi 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 (ng), Number of Full length Leaves (nf), 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 Pi = 2*ng*nf*P/(n*(3*nf+2*ng)) 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 (ng), Number of Full length Leaves (nf), 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.
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