Thickness of each leaf given Bending Stress in extra full length leaves Calculator

✖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 of Leaf Spring [L]			+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%
✖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%

✖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 each leaf given Bending Stress in extra full length leaves [t]

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Thickness of each leaf given Bending Stress in extra full length leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
t = sqrt(12*P*L/((3*n_f+2*n_g)*b*σ_bf))
This formula uses 1 Functions, 7 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
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.

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)
Bending Stress in Full Leaf: 556.4459 Newton per Square Millimeter --> 556445900 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = sqrt(12*P*L/((3*n_f+2*n_g)*b*σ_bf)) --> sqrt(12*37500*0.5/((3*3+2*15)*0.108*556445900))

Evaluating ... ...

t = 0.00979795869773048

STEP 3: Convert Result to Output's Unit

0.00979795869773048 Meter -->9.79795869773048 Millimeter (Check conversion here)

FINAL ANSWER

9.79795869773048 ≈ 9.797959 Millimeter <-- Thickness of Leaf

(Calculation completed in 00.008 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Extra Full Length Leaves » Thickness of each leaf given Bending Stress in extra full length leaves

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

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)

Thickness of each leaf 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 Thickness of each leaf given Bending Stress in extra full length leaves?

Thickness of each leaf given Bending Stress in extra full length leaves calculator uses 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)) to calculate the Thickness of Leaf, Thickness of each leaf given Bending Stress in extra full length leaves formula is defined as a measure of the thickness required for each leaf in extra full length leaves to withstand bending stress, considering the load, length, and material properties, ensuring the structural integrity of the leaves. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of each leaf given Bending Stress in extra full length leaves using this online calculator? To use this online calculator for Thickness of each leaf given Bending Stress in extra full 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) & Bending Stress in Full Leaf (σ_bf) and hit the calculate button. Here is how the Thickness of each leaf given Bending Stress in extra full length leaves calculation can be explained with given input values -> 9797.959 = sqrt(12*37500*0.5/((3*3+2*15)*0.108*556445900)).

FAQ

What is Thickness of each leaf given Bending Stress in extra full length leaves?

Thickness of each leaf given Bending Stress in extra full length leaves formula is defined as a measure of the thickness required for each leaf in extra full length leaves to withstand bending stress, considering the load, length, and material properties, ensuring the structural integrity of the leaves and is represented as t = sqrt(12*P*L/((3*n_f+2*n_g)*b*σ_bf)) or 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)). 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, 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, 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 & Bending Stress in full leaf is the stress experienced by a full leaf when it is subjected to external forces or loads.

How to calculate Thickness of each leaf given Bending Stress in extra full length leaves?

Thickness of each leaf given Bending Stress in extra full length leaves formula is defined as a measure of the thickness required for each leaf in extra full length leaves to withstand bending stress, considering the load, length, and material properties, ensuring the structural integrity of the leaves is calculated using 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)). To calculate Thickness of each leaf given Bending Stress in extra full 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) & Bending Stress in Full Leaf (σ_bf). 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 & Bending Stress in Full 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 Thickness of Leaf?

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

Thickness of Leaf = (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*Deflection at End of Leaf Spring))^(1/3)

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