Length of Cantilever given Bending Stress in extra full length leaves Calculator

✖Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads.ⓘ Bending Stress in Full Leaf [σ_bf]			+10% -10%
✖Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.ⓘ 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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.ⓘ Thickness of Leaf [t]			+10% -10%
✖Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.ⓘ Force Applied at End of Leaf Spring [P]			+10% -10%

✖Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.ⓘ Length of Cantilever given Bending Stress in extra full length leaves [L]

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Length of Cantilever given Bending Stress in extra full length leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L = σ_bf*(3*n_f+2*n_g)*b*t^2/(18*P)
This formula uses 7 Variables

Variables Used

Length of Cantilever of Leaf Spring - (Measured in Meter) - Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.
Bending Stress in Full Leaf - (Measured in Pascal) - Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads.
Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.
Force Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Full Leaf: 556.4459 Newton per Square Millimeter --> 556445900 Pascal (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)
Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = σ_bf*(3*n_f+2*n_g)*b*t^2/(18*P) --> 556445900*(3*3+2*15)*0.108*0.012^2/(18*37500)

Evaluating ... ...

L = 0.500000027904

STEP 3: Convert Result to Output's Unit

0.500000027904 Meter -->500.000027904 Millimeter (Check conversion here)

FINAL ANSWER

500.000027904 ≈ 500 Millimeter <-- Length of Cantilever of Leaf Spring

(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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< Extra Full Length Leaves Calculators

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves

LaTeX 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

LaTeX 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)

Bending Stress in Plate Graduated Length Leaves

LaTeX Go Bending Stress in Full 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

LaTeX 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)

Length of Cantilever given Bending Stress in extra full length leaves Formula

LaTeX Go

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 extra full length leaves?

Length of Cantilever given Bending Stress in extra full length leaves calculator uses 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) to calculate the Length of Cantilever of Leaf Spring, Length of Cantilever given Bending Stress in extra full length leaves formula is defined as a measure of the length of a cantilever beam in extra full length leaves, considering the bending stress, number of full length and guided leaves, and the beam's dimensions, to ensure safe and efficient design in engineering applications. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to calculate Length of Cantilever given Bending Stress in extra full length leaves using this online calculator? To use this online calculator for Length of Cantilever given Bending Stress in extra full length leaves, enter Bending Stress in Full Leaf (σ_bf), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Applied at End of Leaf Spring (P) and hit the calculate button. Here is how the Length of Cantilever given Bending Stress in extra full length leaves calculation can be explained with given input values -> 333333.4 = 556445900*(3*3+2*15)*0.108*0.012^2/(18*37500).

FAQ

What is Length of Cantilever given Bending Stress in extra full length leaves?

Length of Cantilever given Bending Stress in extra full length leaves formula is defined as a measure of the length of a cantilever beam in extra full length leaves, considering the bending stress, number of full length and guided leaves, and the beam's dimensions, to ensure safe and efficient design in engineering applications and is represented as L = σ_bf*(3*n_f+2*n_g)*b*t^2/(18*P) or 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). Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads, Number of Full Length Leaves is the count of leaves that have reached their maximum possible length, 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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves & Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.

How to calculate Length of Cantilever given Bending Stress in extra full length leaves?

Length of Cantilever given Bending Stress in extra full length leaves formula is defined as a measure of the length of a cantilever beam in extra full length leaves, considering the bending stress, number of full length and guided leaves, and the beam's dimensions, to ensure safe and efficient design in engineering applications is calculated using 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). To calculate Length of Cantilever given Bending Stress in extra full length leaves, you need Bending Stress in Full Leaf (σ_bf), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Force Applied at End of Leaf Spring (P). With our tool, you need to enter the respective value for Bending Stress in Full Leaf, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Force Applied at End of Leaf Spring 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 Full Leaf, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Force Applied at End of Leaf Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Cantilever of Leaf Spring = (Deflection at End of Leaf Spring*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)
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)

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