Length of Cantilever given Bending Stress in Plate Calculator

✖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%
✖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%
✖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 given Bending Stress in Plate [L]

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Formula

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Length of Cantilever given Bending Stress in Plate

Formula

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

Example

`"602.7073mm"="448N/mm²"*"15"*"108mm"*("12mm")^2/(6*"28900N")`

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Length of Cantilever given Bending Stress in Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cantilever of Leaf Spring = Bending Stress in graduated leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves)
L = σ_bg*n_g*b*t^2/(6*P_g)
This formula uses 6 Variables

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in graduated leaf: 448 Newton per Square Millimeter --> 448000000 Pascal (Check conversion here)
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)
Force Taken by Graduated Length Leaves: 28900 Newton --> 28900 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = σ_bg*n_g*b*t^2/(6*P_g) --> 448000000*15*0.108*0.012^2/(6*28900)

Evaluating ... ...

L = 0.602707266435986

STEP 3: Convert Result to Output's Unit

0.602707266435986 Meter -->602.707266435986 Millimeter (Check conversion here)

FINAL ANSWER

602.707266435986 ≈ 602.7073 Millimeter <-- Length of Cantilever of Leaf Spring

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 4 Length of Cantilever Calculators

Length of Cantilever given Deflection at Load Point of Graduated length leaves

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

Length of Cantilever given Bending Stress on Graduated Length Leaves

Go Length of Cantilever of Leaf Spring = Bending Stress in graduated leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Force Applied at End of Leaf Spring)

Length of Cantilever given Bending Stress in Plate

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

Length of Cantilever given Bending Stress in Plate of Extra Full Length

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

Length of Cantilever 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 Length of Cantilever given Bending Stress in Plate?

Length of Cantilever given Bending Stress in Plate calculator uses Length of Cantilever of Leaf Spring = Bending Stress in graduated leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves) to calculate the Length of Cantilever of Leaf Spring, The Length of Cantilever given Bending Stress in Plate formula is defined as half the length of semi-elliptic spring . Length of Cantilever of Leaf Spring is denoted by L symbol.

How to calculate Length of Cantilever given Bending Stress in Plate using this online calculator? To use this online calculator for Length of Cantilever given Bending Stress in Plate, enter Bending Stress in graduated leaf (σ_bg), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Graduated Length Leaves (P_g) and hit the calculate button. Here is how the Length of Cantilever given Bending Stress in Plate calculation can be explained with given input values -> 602707.3 = 448000000*15*0.108*0.012^2/(6*28900).

FAQ

What is Length of Cantilever given Bending Stress in Plate?

The Length of Cantilever given Bending Stress in Plate formula is defined as half the length of semi-elliptic spring and is represented as L = σ_bg*n_g*b*t^2/(6*P_g) or Length of Cantilever of Leaf Spring = Bending Stress in graduated leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves). 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, 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 & Force Taken by Graduated Length Leaves is defined as the portion of force that is taken by graduated length leaves.

How to calculate Length of Cantilever given Bending Stress in Plate?

The Length of Cantilever given Bending Stress in Plate formula is defined as half the length of semi-elliptic spring is calculated using Length of Cantilever of Leaf Spring = Bending Stress in graduated leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves). To calculate Length of Cantilever given Bending Stress in Plate, you need Bending Stress in graduated leaf (σ_bg), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Graduated Length Leaves (P_g). With our tool, you need to enter the respective value for Bending Stress in graduated leaf, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Force Taken by Graduated Length Leaves 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 Length of Cantilever of Leaf Spring?

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

Length of Cantilever of Leaf Spring = (Deflection of graduated leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(6*Force Taken by Graduated Length Leaves))^(1/3)
Length of Cantilever of Leaf Spring = Bending Stress in full leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves)
Length of Cantilever of Leaf Spring = Bending Stress in graduated leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Force Applied at End of Leaf Spring)

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