Thickness of each Leaf given Bending Stress in Plate Extra Full Length Calculator

✖Force Taken by Full Length Leaves is defined as the portion of Force that is taken by extra full length leaves.ⓘ Force Taken by Full Length Leaves [P_f]			+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%
✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of Leaf [b]			+10% -10%
✖Bending Stress in full leaf is the normal bending stress that is induced at a point in extra full-length leaves of a leaf spring.ⓘ Bending Stress in full leaf [σ_bf]			+10% -10%

✖Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.ⓘ Thickness of each Leaf given Bending Stress in Plate Extra Full Length [t]

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Formula

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Thickness of each Leaf given Bending Stress in Plate Extra Full Length

Formula

`"t" = sqrt(6*"P"_{"f"}*"L"/("n"_{"f"}*"b"*("σ"_{"b"}"f")))`

Example

`"13.30243mm"=sqrt(6*"8600N"*"500mm"/("3"*"108mm"*"450N/mm²"))`

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Thickness of each Leaf given Bending Stress in Plate Extra Full Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Leaf = sqrt(6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Bending Stress in full leaf))
t = sqrt(6*P_f*L/(n_f*b*σ_bf))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.
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.
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.
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.
Bending Stress in full leaf - (Measured in Pascal) - Bending Stress in full leaf is the normal bending stress that is induced at a point in extra full-length leaves of a leaf spring.

STEP 1: Convert Input(s) to Base Unit

Force Taken by Full Length Leaves: 8600 Newton --> 8600 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
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Bending Stress in full leaf: 450 Newton per Square Millimeter --> 450000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = sqrt(6*P_f*L/(n_f*b*σ_bf)) --> sqrt(6*8600*0.5/(3*0.108*450000000))

Evaluating ... ...

t = 0.0133024333304207

STEP 3: Convert Result to Output's Unit

0.0133024333304207 Meter -->13.3024333304207 Millimeter (Check conversion here)

FINAL ANSWER

13.3024333304207 ≈ 13.30243 Millimeter <-- Thickness of Leaf

(Calculation completed in 00.006 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Thickness of Leaf » Thickness of each Leaf given Bending Stress in Plate Extra Full Length

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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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< 5 Thickness of Leaf Calculators

Thickness of Each Leaf given Deflection

Go Thickness 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*Width of Leaf*Deflection of graduated leaf at load point))^(1/3)

Thickness of Each Leaf given Bending Stress on Graduated 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 graduated leaf))

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves

Go Thickness 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*Width of Leaf*Deflection of graduated leaf at load point))^(1/3)

Thickness of each Leaf given Bending Stress in Plate

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

Thickness of each Leaf given Bending Stress in Plate Extra Full Length

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

Thickness of each Leaf given Bending Stress in Plate Extra Full Length 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 Thickness of each Leaf given Bending Stress in Plate Extra Full Length?

Thickness of each Leaf given Bending Stress in Plate Extra Full Length calculator uses Thickness of Leaf = sqrt(6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Bending Stress in full leaf)) to calculate the Thickness of Leaf, The Thickness of each Leaf given Bending Stress in Plate Extra Full Length formula is defined as the thickness of the each leaf present in the multi-leaf spring. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of each Leaf given Bending Stress in Plate Extra Full Length using this online calculator? To use this online calculator for Thickness of each Leaf given Bending Stress in Plate Extra Full Length, enter Force Taken by Full Length Leaves (P_f), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Width of Leaf (b) & Bending Stress in full leaf (σ_bf) and hit the calculate button. Here is how the Thickness of each Leaf given Bending Stress in Plate Extra Full Length calculation can be explained with given input values -> 13302.43 = sqrt(6*8600*0.5/(3*0.108*450000000)).

FAQ

What is Thickness of each Leaf given Bending Stress in Plate Extra Full Length?

The Thickness of each Leaf given Bending Stress in Plate Extra Full Length formula is defined as the thickness of the each leaf present in the multi-leaf spring and is represented as t = sqrt(6*P_f*L/(n_f*b*σ_bf)) or Thickness of Leaf = sqrt(6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Bending Stress in full leaf)). Force Taken by Full Length Leaves is defined as the portion of Force that is taken by extra full length leaves, 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, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring & Bending Stress in full leaf is the normal bending stress that is induced at a point in extra full-length leaves of a leaf spring.

How to calculate Thickness of each Leaf given Bending Stress in Plate Extra Full Length?

The Thickness of each Leaf given Bending Stress in Plate Extra Full Length formula is defined as the thickness of the each leaf present in the multi-leaf spring is calculated using Thickness of Leaf = sqrt(6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Number of Full length Leaves*Width of Leaf*Bending Stress in full leaf)). To calculate Thickness of each Leaf given Bending Stress in Plate Extra Full Length, you need Force Taken by Full Length Leaves (P_f), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Width of Leaf (b) & Bending Stress in full leaf (σ_bf). With our tool, you need to enter the respective value for Force Taken by Full Length Leaves, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Width of Leaf & Bending Stress in full 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 Thickness of Leaf?

In this formula, Thickness of Leaf uses Force Taken by Full Length Leaves, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Width of Leaf & Bending Stress in full leaf. We can use 4 other way(s) to calculate the same, which is/are as follows -

Thickness of Leaf = sqrt(6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring/(Number of Graduated Length Leaves*Width of Leaf*Bending Stress in graduated leaf))
Thickness 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*Width of Leaf*Deflection of graduated leaf at load point))^(1/3)
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 graduated leaf))
Thickness 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*Width of Leaf*Deflection of graduated leaf at load point))^(1/3)

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