Force taken by extra full length leaves given Force applied at end of Spring Calculator

✖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%
✖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%

✖Force Taken by Full Length Leaves is defined as the portion of Force that is taken by extra full length leaves.ⓘ Force taken by extra full length leaves given Force applied at end of Spring [P_f]

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Formula

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Force taken by extra full length leaves given Force applied at end of Spring

Formula

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

Example

`"8653.846N"=3*"3"*"37500N"/(3*"3"+2*"15")`

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Force taken by extra full length leaves given Force applied at end of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_f = 3*n_f*P/(3*n_f+2*n_g)
This formula uses 4 Variables

Variables Used

Force Taken by Full Length Leaves - (Measured in Newton) - Force Taken by Full Length Leaves is defined as the portion of Force that is taken by 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.
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

Number of Full length Leaves: 3 --> No Conversion Required
Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
Number of Graduated Length Leaves: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_f = 3*n_f*P/(3*n_f+2*n_g) --> 3*3*37500/(3*3+2*15)

Evaluating ... ...

P_f = 8653.84615384615

STEP 3: Convert Result to Output's Unit

8653.84615384615 Newton --> No Conversion Required

FINAL ANSWER

8653.84615384615 ≈ 8653.846 Newton <-- Force Taken by Full Length Leaves

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Extra Full Length Leaves » Force taken by extra full length leaves given Force applied at end of Spring

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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)

Force taken by extra full length leaves given Force applied at end of Spring Formula

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)
P_f = 3*n_f*P/(3*n_f+2*n_g)

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 Force taken by extra full length leaves given Force applied at end of Spring?

Force taken by extra full length leaves given Force applied at end of Spring calculator uses 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) to calculate the Force Taken by Full Length Leaves, Force taken by extra full length leaves given Force applied at end of Spring formula is defined as the portion of the force that is taken by the extra full length leaves present in a multi-leaf spring. Force Taken by Full Length Leaves is denoted by P_f symbol.

How to calculate Force taken by extra full length leaves given Force applied at end of Spring using this online calculator? To use this online calculator for Force taken by extra full length leaves given Force applied at end of Spring, enter Number of Full length Leaves (n_f), Force Applied at End of Leaf Spring (P) & Number of Graduated Length Leaves (n_g) and hit the calculate button. Here is how the Force taken by extra full length leaves given Force applied at end of Spring calculation can be explained with given input values -> 8653.846 = 3*3*37500/(3*3+2*15).

FAQ

What is Force taken by extra full length leaves given Force applied at end of Spring?

Force taken by extra full length leaves given Force applied at end of Spring formula is defined as the portion of the force that is taken by the extra full length leaves present in a multi-leaf spring and is represented as P_f = 3*n_f*P/(3*n_f+2*n_g) or 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 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 & Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.

How to calculate Force taken by extra full length leaves given Force applied at end of Spring?

Force taken by extra full length leaves given Force applied at end of Spring formula is defined as the portion of the force that is taken by the extra full length leaves present in a multi-leaf spring is calculated using 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). To calculate Force taken by extra full length leaves given Force applied at end of Spring, you need Number of Full length Leaves (n_f), Force Applied at End of Leaf Spring (P) & Number of Graduated Length Leaves (n_g). With our tool, you need to enter the respective value for Number of Full length Leaves, Force Applied at End of Leaf Spring & 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.

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