Width of each leaf of leaf Spring given Deflection of Spring at load point Calculator

✖Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves.ⓘ Force Taken by Graduated Length Leaves [P_g]			+10% -10%
✖The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity of Spring [E]			+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%
✖Deflection of full leaf at load point is how much the leaf of the spring deviates from its position at the load application point.ⓘ Deflection of full leaf at load point [δ_f]			+10% -10%
✖Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.ⓘ Thickness of Leaf [t]			+10% -10%

✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of each leaf of leaf Spring given Deflection of Spring at load point [b]

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Width of each leaf of leaf Spring given Deflection of Spring at load point

Formula

`"b" = 4*"P"_{"g"}*("L"^3)/("E"*"n"_{"g"}*"δ"_{"f"}*"t"^3)`

Example

`"73.78526mm"=4*"28900N"*(("500mm")^3)/("207000N/mm²"*"15"*"36.5mm"*("12mm")^3)`

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Width of each leaf of leaf Spring given Deflection of Spring at load point Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
b = 4*P_g*(L^3)/(E*n_g*δ_f*t^3)
This formula uses 7 Variables

Variables Used

Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.
Force Taken by Graduated Length Leaves - (Measured in Newton) - Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves.
Length of Cantilever of Leaf Spring - (Measured in Meter) - The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
Deflection of full leaf at load point - (Measured in Meter) - Deflection of full leaf at load point is how much the leaf of the spring deviates from its position at the load application point.
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

STEP 1: Convert Input(s) to Base Unit

Force Taken by Graduated Length Leaves: 28900 Newton --> 28900 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Number of Graduated Length Leaves: 15 --> No Conversion Required
Deflection of full leaf at load point: 36.5 Millimeter --> 0.0365 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 4*P_g*(L^3)/(E*n_g*δ_f*t^3) --> 4*28900*(0.5^3)/(207000000000*15*0.0365*0.012^3)

Evaluating ... ...

b = 0.0737852647609337

STEP 3: Convert Result to Output's Unit

0.0737852647609337 Meter -->73.7852647609337 Millimeter (Check conversion here)

FINAL ANSWER

73.7852647609337 ≈ 73.78526 Millimeter <-- Width of Leaf

(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 » Width of each leaf of leaf Spring given Deflection of Spring at load point

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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)

Width of each leaf of leaf Spring given Deflection of Spring at load point Formula

Define Deflection of Spring?

Spring deflection, also known as spring travel, is the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released. A travelled distance is exactly what deflection is.

How to Calculate Width of each leaf of leaf Spring given Deflection of Spring at load point?

Width of each leaf of leaf Spring given Deflection of Spring at load point calculator uses 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) to calculate the Width of Leaf, Width of each leaf of leaf Spring given Deflection of Spring at load point formula is defined as the width of the leaf from one to another end in a multi-leaf spring. Width of Leaf is denoted by b symbol.

How to calculate Width of each leaf of leaf Spring given Deflection of Spring at load point using this online calculator? To use this online calculator for Width of each leaf of leaf Spring given Deflection of Spring at load point, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Deflection of full leaf at load point (δ_f) & Thickness of Leaf (t) and hit the calculate button. Here is how the Width of each leaf of leaf Spring given Deflection of Spring at load point calculation can be explained with given input values -> 73785.26 = 4*28900*(0.5^3)/(207000000000*15*0.0365*0.012^3).

FAQ

What is Width of each leaf of leaf Spring given Deflection of Spring at load point?

Width of each leaf of leaf Spring given Deflection of Spring at load point formula is defined as the width of the leaf from one to another end in a multi-leaf spring and is represented as b = 4*P_g*(L^3)/(E*n_g*δ_f*t^3) or 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). Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, Deflection of full leaf at load point is how much the leaf of the spring deviates from its position at the load application point & Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

How to calculate Width of each leaf of leaf Spring given Deflection of Spring at load point?

Width of each leaf of leaf Spring given Deflection of Spring at load point formula is defined as the width of the leaf from one to another end in a multi-leaf spring is calculated using 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). To calculate Width of each leaf of leaf Spring given Deflection of Spring at load point, you need Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Deflection of full leaf at load point (δ_f) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Deflection of full leaf at load point & Thickness of Leaf 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 Width of Leaf?

In this formula, Width of Leaf uses Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Deflection of full leaf at load point & Thickness of Leaf. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)
Width of Leaf = 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*Deflection at end of leaf spring*Thickness of Leaf^3)

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