Number of Graduated length leaves given Force taken by extra full length leaves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Graduated Length Leaves = (3*Pre load for leaf spring*Total Number of Leaves*Number of Full length Leaves)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre load for leaf spring))
ng = (3*Pi*n*nf)/((2*nf*P)-(2*n*Pi))
This formula uses 5 Variables
Variables Used
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
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.
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
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
Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ng = (3*Pi*n*nf)/((2*nf*P)-(2*n*Pi)) --> (3*4800*18*3)/((2*3*37500)-(2*18*4800))
Evaluating ... ...
ng = 14.8965517241379
STEP 3: Convert Result to Output's Unit
14.8965517241379 --> No Conversion Required
FINAL ANSWER
14.8965517241379 14.89655 <-- Number of Graduated Length Leaves
(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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25 Extra Full Length Leaves Calculators

Length of Cantilever given Deflection at end of Spring
Go Length of Cantilever of Leaf Spring = (Deflection at end of leaf spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(12*Force Applied at End of Leaf Spring))^(1/3)
Modulus of Elasticity of Spring given Deflection at end of Spring
Go Modulus of Elasticity of Spring = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Deflection of full leaf at load point*Width of Leaf*Thickness of Leaf^3)
Deflection at end of leaf Spring
Go Deflection of full leaf at load point = 12*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3)/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)
Force applied at end of Spring given Deflection at end of Spring
Go Force Applied at End of Leaf Spring = Deflection at end of leaf spring*((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Modulus of Elasticity of Spring*Width of Leaf*Thickness of Leaf^3)/(12*Length of Cantilever of Leaf Spring^3)
Number of Graduated length leaves given Force taken by extra full length leaves
Go Number of Graduated Length Leaves = (3*Pre load for leaf spring*Total Number of Leaves*Number of Full length Leaves)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre load for leaf spring))
Thickness of each leaf given Bending Stress in extra full length leaves
Go Thickness of Leaf = sqrt(12*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Bending Stress in full leaf))
Length of Cantilever given Deflection of Spring at load point
Go Length of Cantilever of Leaf Spring = (Deflection of full leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Force Taken by Graduated Length Leaves))^(1/3)
Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves
Go Modulus of Elasticity of Spring = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection of graduated leaf at load point*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Deflection at Load Point Graduated Length Leaves
Go Deflection of graduated leaf at load point = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Width of each leaf of leaf Spring given Deflection of Spring at load point
Go Width of Leaf = 4*Force Taken by Graduated Length Leaves*(Length of Cantilever of Leaf Spring^3)/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Deflection of full leaf at load point*Thickness of Leaf^3)
Portion of Force taken by extra full length leaf given deflection of Spring at load point
Go Force Taken by Graduated Length Leaves = Deflection of full leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(4*Length of Cantilever of Leaf Spring^3)
Number of Graduated length leaves given Bending Stress in extra full length leaves
Go Number of Graduated Length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in graduated leaf*Width of Leaf*Thickness of Leaf^2*2))-(3*Number of Full length Leaves/2)
Modulus of Elasticity of leaf of leaf spring given Deflection of Spring at load point
Go Modulus of Elasticity of Spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection at end of leaf spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Deflection of leaf Spring at load point
Go Deflection at end of leaf spring = 4*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)
Bending Stress on Graduated Length Leaves
Go Bending Stress in graduated leaf = 12*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2)
Number of extra full length leaves given Bending Stress in extra full length leaves
Go Number of Full length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in full leaf*Width of Leaf*Thickness of Leaf^2*3))-2*Number of Graduated Length Leaves/3
Number of extra full length leaves given Deflection of Spring at load point
Go Number of Full length Leaves = 4*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of full leaf at load point*Width of Leaf*Thickness of Leaf^3)
Force applied at end of Spring given Bending Stress in extra full length leaves
Go Force Applied at End of Leaf Spring = Bending Stress in full leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Length of Cantilever of Leaf Spring)
Length of Cantilever given Bending Stress in extra full length leaves
Go Length of Cantilever of Leaf Spring = Bending Stress in full leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(18*Force Applied at End of Leaf Spring)
Width of each leaf given Bending Stress in extra full length leaves
Go Width of Leaf = 18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Bending Stress in full leaf*Thickness of Leaf^2)
Bending Stress in extra full length leaves
Go Bending Stress in full leaf = 18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring/((3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2)
Bending Stress in Plate Graduated Length Leaves
Go Bending Stress in graduated leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2)
Bending Stress in Plate Extra Full Length
Go Bending Stress in full leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2)
Force applied at end of Spring given Force taken by extra full length leaves
Go Force Applied at End of Leaf Spring = Force Taken by Full Length Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)/(3*Number of Full length Leaves)
Force taken by extra full length leaves given Force applied at end of Spring
Go Force Taken by Full Length Leaves = 3*Number of Full length Leaves*Force Applied at End of Leaf Spring/(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)

Number of Graduated length leaves given Force taken by extra full length leaves Formula

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

Define a Multi Leaf Spring?

Multi-leaf springs are widely used for the suspension of cars, trucks and railway wagons. A multi-leaf spring consists of a series of flat plates, usually of semi-elliptical shape. The flat plates are called leaves of the spring. The leaf at the top has maximum length. The length gradually decreases from the top leaf to the bottom leaf. The longest leaf at the top is called master leaf.

How to Calculate Number of Graduated length leaves given Force taken by extra full length leaves?

Number of Graduated length leaves given Force taken by extra full length leaves calculator uses Number of Graduated Length Leaves = (3*Pre load for leaf spring*Total Number of Leaves*Number of Full length Leaves)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre load for leaf spring)) to calculate the Number of Graduated Length Leaves, Number of Graduated length leaves given Force taken by extra full length leaves is defined as the total number of graduated length leaves that are present in a multi-leaf spring. Number of Graduated Length Leaves is denoted by ng symbol.

How to calculate Number of Graduated length leaves given Force taken by extra full length leaves using this online calculator? To use this online calculator for Number of Graduated length leaves given Force taken by extra full length leaves, enter Pre load for leaf spring (Pi), Total Number of Leaves (n), Number of Full length Leaves (nf) & Force Applied at End of Leaf Spring (P) and hit the calculate button. Here is how the Number of Graduated length leaves given Force taken by extra full length leaves calculation can be explained with given input values -> 14.89655 = (3*4800*18*3)/((2*3*37500)-(2*18*4800)).

FAQ

What is Number of Graduated length leaves given Force taken by extra full length leaves?
Number of Graduated length leaves given Force taken by extra full length leaves is defined as the total number of graduated length leaves that are present in a multi-leaf spring and is represented as ng = (3*Pi*n*nf)/((2*nf*P)-(2*n*Pi)) or Number of Graduated Length Leaves = (3*Pre load for leaf spring*Total Number of Leaves*Number of Full length Leaves)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre load for leaf 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, 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 & 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 Graduated length leaves given Force taken by extra full length leaves?
Number of Graduated length leaves given Force taken by extra full length leaves is defined as the total number of graduated length leaves that are present in a multi-leaf spring is calculated using Number of Graduated Length Leaves = (3*Pre load for leaf spring*Total Number of Leaves*Number of Full length Leaves)/((2*Number of Full length Leaves*Force Applied at End of Leaf Spring)-(2*Total Number of Leaves*Pre load for leaf spring)). To calculate Number of Graduated length leaves given Force taken by extra full length leaves, you need Pre load for leaf spring (Pi), Total Number of Leaves (n), Number of Full length Leaves (nf) & Force Applied at End of Leaf Spring (P). 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 & 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.
How many ways are there to calculate Number of Graduated Length Leaves?
In this formula, Number of Graduated Length Leaves uses Pre load for leaf spring, Total Number of Leaves, Number of Full length Leaves & Force Applied at End of Leaf Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Number of Graduated Length Leaves = ((18*Force Applied at End of Leaf Spring*Length of Cantilever of Leaf Spring)/(Bending Stress in graduated leaf*Width of Leaf*Thickness of Leaf^2*2))-(3*Number of Full length Leaves/2)
  • Number of Graduated Length Leaves = ((6*Force Applied at End of Leaf Spring*(Length of Cantilever of Leaf Spring^3))/(Modulus of Elasticity of Spring*Width of Leaf*(Thickness of Leaf^3)*Deflection at end of leaf spring))-(3*Number of Full length Leaves/2)
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