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

STEP 0: Pre-Calculation Summary
Formula Used
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)
P = Pi*(n*(3*nf+2*ng))/(2*ng*nf)
This formula uses 5 Variables
Variables Used
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.
Total Number of Leaves - Total Number of Leaves is defined as the sum of graduated length leaves and extra full length leaves.
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.
STEP 1: Convert Input(s) to Base Unit
Pre load for leaf spring: 4800 Newton --> 4800 Newton No Conversion Required
Total Number of Leaves: 18 --> No Conversion Required
Number of Full length Leaves: 3 --> No Conversion Required
Number of Graduated Length Leaves: 15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = Pi*(n*(3*nf+2*ng))/(2*ng*nf) --> 4800*(18*(3*3+2*15))/(2*15*3)
Evaluating ... ...
P = 37440
STEP 3: Convert Result to Output's Unit
37440 Newton --> No Conversion Required
FINAL ANSWER
37440 Newton <-- Force Applied at End of Leaf Spring
(Calculation completed in 00.020 seconds)

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)

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

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

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

Force Applied at End of Spring given Pre-Load Required to Close Gap calculator uses 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) to calculate the Force Applied at End of Leaf Spring, The Force Applied at End of Spring given Pre-Load Required to Close Gap formula is defined as the total amount of net force acting at the end of leaf Spring. Force Applied at End of Leaf Spring is denoted by P symbol.

How to calculate Force Applied at End of Spring given Pre-Load Required to Close Gap using this online calculator? To use this online calculator for Force Applied at End of Spring given Pre-Load Required to Close Gap, enter Pre load for leaf spring (Pi), Total Number of Leaves (n), Number of Full length Leaves (nf) & Number of Graduated Length Leaves (ng) and hit the calculate button. Here is how the Force Applied at End of Spring given Pre-Load Required to Close Gap calculation can be explained with given input values -> 37440 = 4800*(18*(3*3+2*15))/(2*15*3).

FAQ

What is Force Applied at End of Spring given Pre-Load Required to Close Gap?
The Force Applied at End of Spring given Pre-Load Required to Close Gap formula is defined as the total amount of net force acting at the end of leaf Spring and is represented as P = Pi*(n*(3*nf+2*ng))/(2*ng*nf) or 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). 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, Total Number of Leaves is defined as the sum of graduated length leaves and extra 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 is defined as the number of graduated-length leaves including master leaf.
How to calculate Force Applied at End of Spring given Pre-Load Required to Close Gap?
The Force Applied at End of Spring given Pre-Load Required to Close Gap formula is defined as the total amount of net force acting at the end of leaf Spring is calculated using 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). To calculate Force Applied at End of Spring given Pre-Load Required to Close Gap, you need Pre load for leaf spring (Pi), Total Number of Leaves (n), Number of Full length Leaves (nf) & Number of Graduated Length Leaves (ng). With our tool, you need to enter the respective value for Pre load for leaf spring, Total Number of Leaves, Number of Full length Leaves & Number of Graduated Length Leaves 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 Force Applied at End of Leaf Spring?
In this formula, Force Applied at End of Leaf Spring uses Pre load for leaf spring, Total Number of Leaves, Number of Full length Leaves & Number of Graduated Length Leaves. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!