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%
✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of Leaf [b]			+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%

✖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 on Graduated Length Leaves [σ_bg]

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Formula

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Bending Stress on Graduated Length Leaves

Formula

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

Example

`"370.9639N/mm²"=12*"37500N"*"500mm"/((3*"3"+2*"15")*"108mm"*("12mm")^2)`

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Bending Stress on Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_bg = 12*P*L/((3*n_f+2*n_g)*b*t^2)
This formula uses 7 Variables

Variables Used

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.
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.
Width of Leaf - (Measured in Meter) - Width of Leaf is defined as the width of each leaf present in a multi-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
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_bg = 12*P*L/((3*n_f+2*n_g)*b*t^2) --> 12*37500*0.5/((3*3+2*15)*0.108*0.012^2)

Evaluating ... ...

σ_bg = 370963912.630579

STEP 3: Convert Result to Output's Unit

370963912.630579 Pascal -->370.963912630579 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

370.963912630579 ≈ 370.9639 Newton per Square Millimeter <-- Bending Stress in graduated 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 » Bending Stress on Graduated Length Leaves

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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)

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 Bending Stress on Graduated Length Leaves?

Bending Stress on Graduated Length Leaves calculator uses 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) to calculate the Bending Stress in graduated leaf, The Bending Stress on Graduated Length Leaves formula is defined as 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 in graduated leaf is denoted by σ_bg symbol.

How to calculate Bending Stress on Graduated Length Leaves using this online calculator? To use this online calculator for 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), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Bending Stress on Graduated Length Leaves calculation can be explained with given input values -> 0.000371 = 12*37500*0.5/((3*3+2*15)*0.108*0.012^2).

FAQ

What is Bending Stress on Graduated Length Leaves?

The Bending Stress on Graduated Length Leaves formula is defined as 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 and is represented as σ_bg = 12*P*L/((3*n_f+2*n_g)*b*t^2) or 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). 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, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring & Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

How to calculate Bending Stress on Graduated Length Leaves?

The Bending Stress on Graduated Length Leaves formula is defined as 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 is calculated using 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). To calculate 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), Width of Leaf (b) & 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, Width of 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 Bending Stress in graduated leaf?

In this formula, Bending Stress in graduated 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, Width of Leaf & Thickness of Leaf. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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