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

STEP 0: Pre-Calculation Summary
Formula Used
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)
nf = (2*ng*n*Pi)/(2*ng*P-3*Pi*n)
This formula uses 5 Variables
Variables Used
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.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
Total Number of Leaves - Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Number of Graduated Length Leaves: 15 --> No Conversion Required
Total Number of Leaves: 18 --> No Conversion Required
Pre load for leaf spring: 4800 Newton --> 4800 Newton No Conversion Required
Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nf = (2*ng*n*Pi)/(2*ng*P-3*Pi*n) --> (2*15*18*4800)/(2*15*37500-3*4800*18)
Evaluating ... ...
nf = 2.99376299376299
STEP 3: Convert Result to Output's Unit
2.99376299376299 --> No Conversion Required
FINAL ANSWER
2.99376299376299 2.993763 <-- Number of Full length Leaves
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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)

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

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)
nf = (2*ng*n*Pi)/(2*ng*P-3*Pi*n)

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

Number of Full Length Leaves given Initial Pre-load Required to Close Gap calculator uses 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) to calculate the Number of Full length Leaves, The Number of Full Length Leaves given Initial Pre-load Required to Close Gap formula is defined as the total number of extra length leaves that are present in a multi-leaf spring. Number of Full length Leaves is denoted by nf symbol.

How to calculate Number of Full Length Leaves given Initial Pre-load Required to Close Gap using this online calculator? To use this online calculator for Number of Full Length Leaves given Initial Pre-load Required to Close Gap, enter Number of Graduated Length Leaves (ng), Total Number of Leaves (n), Pre load for leaf spring (Pi) & Force Applied at End of Leaf Spring (P) and hit the calculate button. Here is how the Number of Full Length Leaves given Initial Pre-load Required to Close Gap calculation can be explained with given input values -> 2.993763 = (2*15*18*4800)/(2*15*37500-3*4800*18).

FAQ

What is Number of Full Length Leaves given Initial Pre-load Required to Close Gap?
The Number of Full Length Leaves given Initial Pre-load Required to Close Gap formula is defined as the total number of extra length leaves that are present in a multi-leaf spring and is represented as nf = (2*ng*n*Pi)/(2*ng*P-3*Pi*n) or 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 is defined as the number of graduated-length leaves including master leaf, Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves, 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 & Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.
How to calculate Number of Full Length Leaves given Initial Pre-load Required to Close Gap?
The Number of Full Length Leaves given Initial Pre-load Required to Close Gap formula is defined as the total number of extra length leaves that are present in a multi-leaf spring is calculated using 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). To calculate Number of Full Length Leaves given Initial Pre-load Required to Close Gap, you need Number of Graduated Length Leaves (ng), Total Number of Leaves (n), Pre load for leaf spring (Pi) & Force Applied at End of Leaf Spring (P). With our tool, you need to enter the respective value for Number of Graduated Length Leaves, Total Number of Leaves, Pre load for leaf spring & Force Applied at End of Leaf Spring 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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