Width of Each Leaf given Bending Stress on Graduated Length Leaves Calculator

✖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%
✖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%
✖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%
✖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%
✖Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring.ⓘ Bending Stress in graduated leaf [σ_bg]			+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 given Bending Stress on Graduated Length Leaves [b]

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Formula

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Width of Each Leaf given Bending Stress on Graduated Length Leaves

Formula

`"b" = 12*"P"*"L"/((3*"n"_{"f"}+2*"n"_{"g"})*("σ"_{"b"}"g")*"t"^2)`

Example

`"89.4288mm"=12*"37500N"*"500mm"/((3*"3"+2*"15")*"448N/mm²"*("12mm")^2)`

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Width of Each Leaf given Bending Stress on Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of 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)*Bending Stress in graduated leaf*Thickness of Leaf^2)
b = 12*P*L/((3*n_f+2*n_g)*σ_bg*t^2)
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 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.
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.
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.
Bending Stress in graduated leaf - (Measured in Pascal) - Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring.
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 Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)
Number of Full length Leaves: 3 --> No Conversion Required
Number of Graduated Length Leaves: 15 --> No Conversion Required
Bending Stress in graduated leaf: 448 Newton per Square Millimeter --> 448000000 Pascal (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 12*P*L/((3*n_f+2*n_g)*σ_bg*t^2) --> 12*37500*0.5/((3*3+2*15)*448000000*0.012^2)

Evaluating ... ...

b = 0.0894288003663004

STEP 3: Convert Result to Output's Unit

0.0894288003663004 Meter -->89.4288003663004 Millimeter (Check conversion here)

FINAL ANSWER

89.4288003663004 ≈ 89.4288 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 » Width of Leaf » Width of Each Leaf given Bending Stress on Graduated Length Leaves

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 4 Width of Leaf Calculators

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves

Go Width of Leaf = 6*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 graduated leaf at load point*Thickness of Leaf^3)

Width of Each Leaf given Bending Stress on Graduated Length Leaves

Go Width of 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)*Bending Stress in graduated leaf*Thickness of Leaf^2)

Width of Each Leaf given Bending Stress in Plate

Go Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2)

Width of Each Leaf given Bending Stress in Plate Extra Full Length

Go Width of Leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Thickness of Leaf^2*Bending Stress in full leaf)

Width of Each Leaf given Bending Stress on Graduated Length Leaves Formula

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

How to Calculate Width of Each Leaf given Bending Stress on Graduated Length Leaves?

Width of Each Leaf given Bending Stress on Graduated Length Leaves calculator uses Width of 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)*Bending Stress in graduated leaf*Thickness of Leaf^2) to calculate the Width of Leaf, The Width of Each Leaf given Bending Stress on Graduated Length Leaves 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 given Bending Stress on Graduated Length Leaves using this online calculator? To use this online calculator for Width of Each Leaf given Bending Stress on Graduated Length Leaves, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Bending Stress in graduated leaf (σ_bg) & Thickness of Leaf (t) and hit the calculate button. Here is how the Width of Each Leaf given Bending Stress on Graduated Length Leaves calculation can be explained with given input values -> 89428.8 = 12*37500*0.5/((3*3+2*15)*448000000*0.012^2).

FAQ

What is Width of Each Leaf given Bending Stress on Graduated Length Leaves?

The Width of Each Leaf given Bending Stress on Graduated Length Leaves formula is defined as the width of the leaf from one to another end in a multi-leaf spring and is represented as b = 12*P*L/((3*n_f+2*n_g)*σ_bg*t^2) or Width of 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)*Bending Stress in graduated leaf*Thickness of Leaf^2). Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, 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, Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring & Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

How to calculate Width of Each Leaf given Bending Stress on Graduated Length Leaves?

The Width of Each Leaf given Bending Stress on Graduated Length Leaves 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 = 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)*Bending Stress in graduated leaf*Thickness of Leaf^2). To calculate Width of Each Leaf given Bending Stress on Graduated Length Leaves, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Bending Stress in graduated leaf (σ_bg) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Bending Stress in graduated leaf & 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 Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Bending Stress in graduated leaf & Thickness of Leaf. We can use 3 other way(s) to calculate the same, which is/are as follows -

Width of Leaf = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Bending Stress in graduated leaf*Thickness of Leaf^2)
Width of Leaf = 6*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 graduated leaf at load point*Thickness of Leaf^3)
Width of Leaf = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Thickness of Leaf^2*Bending Stress in full leaf)

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