Number of Graduated length leaves given Bending Stress in Plate 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%
✖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%
✖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 Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.ⓘ Number of Graduated length leaves given Bending Stress in Plate [n_g]

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Formula

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Number of Graduated length leaves given Bending Stress in Plate

Formula

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

Example

`"12.44385"=6*"28900N"*"500mm"/("448N/mm²"*"108mm"*("12mm")^2)`

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Number of Graduated length leaves given Bending Stress in Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
n_g = 6*P_g*L/(σ_bg*b*t^2)
This formula uses 6 Variables

Variables Used

Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
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.
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.
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 Graduated Length Leaves: 28900 Newton --> 28900 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)
Bending Stress in graduated leaf: 448 Newton per Square Millimeter --> 448000000 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_g = 6*P_g*L/(σ_bg*b*t^2) --> 6*28900*0.5/(448000000*0.108*0.012^2)

Evaluating ... ...

n_g = 12.4438519620811

STEP 3: Convert Result to Output's Unit

12.4438519620811 --> No Conversion Required

FINAL ANSWER

12.4438519620811 ≈ 12.44385 <-- Number of Graduated Length Leaves

(Calculation completed in 00.004 seconds)

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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 Graduated length leaves given Bending Stress in Plate 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 Number of Graduated length leaves given Bending Stress in Plate?

Number of Graduated length leaves given Bending Stress in Plate calculator uses 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) to calculate the Number of Graduated Length Leaves, The Number of Graduated length leaves given Bending Stress in Plate formula is defined as the number of graduated-length leaves including master leaf. Number of Graduated Length Leaves is denoted by n_g symbol.

How to calculate Number of Graduated length leaves given Bending Stress in Plate using this online calculator? To use this online calculator for Number of Graduated length leaves given Bending Stress in Plate, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Bending Stress in graduated leaf (σ_bg), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Number of Graduated length leaves given Bending Stress in Plate calculation can be explained with given input values -> 12.44385 = 6*28900*0.5/(448000000*0.108*0.012^2).

FAQ

What is Number of Graduated length leaves given Bending Stress in Plate?

The Number of Graduated length leaves given Bending Stress in Plate formula is defined as the number of graduated-length leaves including master leaf and is represented as n_g = 6*P_g*L/(σ_bg*b*t^2) or 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). 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, 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, 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 Graduated length leaves given Bending Stress in Plate?

The Number of Graduated length leaves given Bending Stress in Plate formula is defined as the number of graduated-length leaves including master leaf is calculated using 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). To calculate Number of Graduated length leaves given Bending Stress in Plate, you need Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Bending Stress in graduated leaf (σ_bg), Width of Leaf (b) & 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, Bending Stress in graduated 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 Graduated Length Leaves?

In this formula, Number of Graduated Length Leaves uses Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Bending Stress in graduated 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 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 = Force Taken by Graduated Length Leaves*3*Number of Full length Leaves/(2*Force Taken by Full Length Leaves)
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

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