Number of Full Length Leaves 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%
✖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%
✖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%

✖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 given Bending Stress in Plate Extra Full Length [n_f]

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Formula

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Number of Full Length Leaves given Bending Stress in Plate Extra Full Length

Formula

`"n"_{"f"} = 6*"P"_{"f"}*"L"/(("σ"_{"b"}"f")*"b"*"t"^2)`

Example

`"3.686557"=6*"8600N"*"500mm"/("450N/mm²"*"108mm"*("12mm")^2)`

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Number of Full Length Leaves given Bending Stress in Plate Extra Full Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Full length Leaves = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Bending Stress in full leaf*Width of Leaf*Thickness of Leaf^2)
n_f = 6*P_f*L/(σ_bf*b*t^2)
This formula uses 6 Variables

Variables Used

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 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.
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.
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 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)
Bending Stress in full leaf: 450 Newton per Square Millimeter --> 450000000 Pascal (Check conversion here)
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

n_f = 6*P_f*L/(σ_bf*b*t^2) --> 6*8600*0.5/(450000000*0.108*0.012^2)

Evaluating ... ...

n_f = 3.68655692729767

STEP 3: Convert Result to Output's Unit

3.68655692729767 --> No Conversion Required

FINAL ANSWER

3.68655692729767 ≈ 3.686557 <-- Number of Full length Leaves

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Number of leaves » Number of Full Length Leaves 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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< 8 Number of leaves Calculators

Number of Graduated length leaves given Deflection at Load Point Graduated-Length Leaves

Go Number of Graduated Length Leaves = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Deflection of graduated leaf at load point*Width of Leaf*Thickness of Leaf^3)

Number of Graduated length leaves given Bending Stress on Graduated length leaves

Go Number of Graduated Length Leaves = ((12*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

Number of Extra Full length leaves given Bending Stress on Graduated length leaves

Go Number of Full length Leaves = ((4*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*Number of Graduated Length Leaves/3

Number of Graduated length leaves given Bending Stress in Plate

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

Number of Full Length Leaves given Bending Stress in Plate Extra Full Length

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

Number of Extra Full length leaves given Force applied at End of Spring

Go Number of Full length Leaves = (2*Number of Graduated Length Leaves*Force Applied at End of Leaf Spring/(3*Force Taken by Graduated Length Leaves))-2*Number of Graduated Length Leaves/3

Number of Extra Full Length Leaves given Force Taken by Graduated Length Leaves

Go Number of Full length Leaves = 2*Force Taken by Full Length Leaves*Number of Graduated Length Leaves/(3*Force Taken by Graduated Length Leaves)

Number of Graduated length leaves given Force taken by Graduated length leaves

Go Number of Graduated Length Leaves = Force Taken by Graduated Length Leaves*3*Number of Full length Leaves/(2*Force Taken by Full Length Leaves)

Number of Full Length Leaves given Bending Stress in Plate Extra Full Length Formula

Number of Full length Leaves = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Bending Stress in full leaf*Width of Leaf*Thickness of Leaf^2)
n_f = 6*P_f*L/(σ_bf*b*t^2)

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 Number of Full Length Leaves given Bending Stress in Plate Extra Full Length?

Number of Full Length Leaves given Bending Stress in Plate Extra Full Length calculator uses Number of Full length Leaves = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Bending Stress in full leaf*Width of Leaf*Thickness of Leaf^2) to calculate the Number of Full length Leaves, The Number of Full Length Leaves given Bending Stress in Plate Extra Full Length formula is defined as the total number of extra full length leaves present in a multi-leaf spring. Number of Full length Leaves is denoted by n_f symbol.

How to calculate Number of Full Length Leaves given Bending Stress in Plate Extra Full Length using this online calculator? To use this online calculator for Number of Full Length Leaves given Bending Stress in Plate Extra Full Length, enter Force Taken by Full Length Leaves (P_f), Length of Cantilever of Leaf Spring (L), Bending Stress in full leaf (σ_bf), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Number of Full Length Leaves given Bending Stress in Plate Extra Full Length calculation can be explained with given input values -> 3.686557 = 6*8600*0.5/(450000000*0.108*0.012^2).

FAQ

What is Number of Full Length Leaves given Bending Stress in Plate Extra Full Length?

The Number of Full Length Leaves given Bending Stress in Plate Extra Full Length formula is defined as the total number of extra full length leaves present in a multi-leaf spring and is represented as n_f = 6*P_f*L/(σ_bf*b*t^2) or Number of Full length Leaves = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Bending Stress in full leaf*Width of Leaf*Thickness of Leaf^2). 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, 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, 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 Number of Full Length Leaves given Bending Stress in Plate Extra Full Length?

The Number of Full Length Leaves given Bending Stress in Plate Extra Full Length formula is defined as the total number of extra full length leaves present in a multi-leaf spring is calculated using Number of Full length Leaves = 6*Force Taken by Full Length Leaves*Length of Cantilever of Leaf Spring/(Bending Stress in full leaf*Width of Leaf*Thickness of Leaf^2). To calculate Number of Full Length Leaves 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), Bending Stress in full leaf (σ_bf), Width of Leaf (b) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Taken by Full Length Leaves, Length of Cantilever of Leaf Spring, Bending Stress in full leaf, 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 Number of Full length Leaves?

In this formula, Number of Full length Leaves uses Force Taken by Full Length Leaves, Length of Cantilever of Leaf Spring, Bending Stress in full leaf, Width of Leaf & Thickness of Leaf. We can use 3 other way(s) to calculate the same, which is/are as follows -

Number of Full length Leaves = 2*Force Taken by Full Length Leaves*Number of Graduated Length Leaves/(3*Force Taken by Graduated Length Leaves)
Number of Full length Leaves = (2*Number of Graduated Length Leaves*Force Applied at End of Leaf Spring/(3*Force Taken by Graduated Length Leaves))-2*Number of Graduated Length Leaves/3
Number of Full length Leaves = ((4*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*Number of Graduated Length Leaves/3

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