Thickness of each Leaf given Deflection at Load Point for Graduated length leaves Calculator

✖Force taken by graduated length leaves involves the varying load distribution due to differences in thickness or material properties along the length.ⓘ Force Taken by Graduated Length Leaves [P_g]			+10% -10%
✖Length of cantilever of leaf spring refers to the distance from the fixed support to the free end where the load is applied.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖Modulus of elasticity of spring measures its stiffness and ability to deform elastically under stress.ⓘ Modulus of Elasticity of Spring [E]			+10% -10%
✖Number of graduated length leaves refers to the count of layers in a leaf spring that vary in thickness or length.ⓘ Number of Graduated Length Leaves [n_g]			+10% -10%
✖Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element.ⓘ Width of Leaf [b]			+10% -10%
✖The deflection of graduated leaf at load point refers to the vertical displacement that occurs when a load is applied, influenced by the leaf's varying thickness or stiffness.ⓘ Deflection of graduated leaf at load point [δ_g]			+10% -10%

✖Thickness of leaf refers to the dimension of an individual layer in a leaf spring or structural element.ⓘ Thickness of each Leaf given Deflection at Load Point for Graduated length leaves [t]

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Thickness of each Leaf given Deflection at Load Point for Graduated length leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3)
t = ((6*P_g*L^3)/(E*n_g*b*δ_g))^(1/3)
This formula uses 7 Variables

Variables Used

Thickness of Leaf - (Measured in Meter) - Thickness of leaf refers to the dimension of an individual layer in a leaf spring or structural element.
Force Taken by Graduated Length Leaves - (Measured in Newton) - Force taken by graduated length leaves involves the varying load distribution due to differences in thickness or material properties along the length.
Length of Cantilever of Leaf Spring - (Measured in Meter) - Length of cantilever of leaf spring refers to the distance from the fixed support to the free end where the load is applied.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of elasticity of spring measures its stiffness and ability to deform elastically under stress.
Number of Graduated Length Leaves - Number of graduated length leaves refers to the count of layers in a leaf spring that vary in thickness or length.
Width of Leaf - (Measured in Meter) - Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element.
Deflection of graduated leaf at load point - (Measured in Meter) - The deflection of graduated leaf at load point refers to the vertical displacement that occurs when a load is applied, influenced by the leaf's varying thickness or stiffness.

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)
Modulus of Elasticity of Spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Number of Graduated Length Leaves: 15 --> No Conversion Required
Width of Leaf: 108 Millimeter --> 0.108 Meter (Check conversion here)
Deflection of graduated leaf at load point: 37.3 Millimeter --> 0.0373 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((6*P_g*L^3)/(E*n_g*b*δ_g))^(1/3) --> ((6*28900*0.5^3)/(207000000000*15*0.108*0.0373))^(1/3)

Evaluating ... ...

t = 0.0120112527211227

STEP 3: Convert Result to Output's Unit

0.0120112527211227 Meter -->12.0112527211227 Millimeter (Check conversion here)

FINAL ANSWER

12.0112527211227 ≈ 12.01125 Millimeter <-- Thickness of Leaf

(Calculation completed in 00.020 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Thickness of Leaf » Thickness of each Leaf given Deflection at Load Point for Graduated length leaves

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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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< Thickness of Leaf Calculators

Thickness of Each Leaf given Bending Stress on Graduated Length Leaves

LaTeX Go 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 graduated leaf))

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves

LaTeX Go Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3)

Thickness of each Leaf given Bending Stress in Plate

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

Thickness of each Leaf given Bending Stress in Plate Extra Full Length

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

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves Formula

LaTeX Go

Define Deflection?

In engineering, deflection is the degree to which a structural element is displaced under a load (due to its deformation). The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of the member under that load.

How to Calculate Thickness of each Leaf given Deflection at Load Point for Graduated length leaves?

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves calculator uses Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3) to calculate the Thickness of Leaf, Thickness of each Leaf given Deflection at Load Point for Graduated length leaves formula is defined as a measure of the thickness of each leaf in a mechanical system, considering the deflection at the load point, graduated length, and other parameters, providing a crucial calculation in mechanical engineering. Thickness of Leaf is denoted by t symbol.

How to calculate Thickness of each Leaf given Deflection at Load Point for Graduated length leaves using this online calculator? To use this online calculator for Thickness of each Leaf given Deflection at Load Point for Graduated length leaves, enter Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Deflection of graduated leaf at load point (δ_g) and hit the calculate button. Here is how the Thickness of each Leaf given Deflection at Load Point for Graduated length leaves calculation can be explained with given input values -> 11989.86 = ((6*28900*0.5^3)/(207000000000*15*0.108*0.0373))^(1/3).

FAQ

What is Thickness of each Leaf given Deflection at Load Point for Graduated length leaves?

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves formula is defined as a measure of the thickness of each leaf in a mechanical system, considering the deflection at the load point, graduated length, and other parameters, providing a crucial calculation in mechanical engineering and is represented as t = ((6*P_g*L^3)/(E*n_g*b*δ_g))^(1/3) or Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3). Force taken by graduated length leaves involves the varying load distribution due to differences in thickness or material properties along the length, Length of cantilever of leaf spring refers to the distance from the fixed support to the free end where the load is applied, Modulus of elasticity of spring measures its stiffness and ability to deform elastically under stress, Number of graduated length leaves refers to the count of layers in a leaf spring that vary in thickness or length, Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element & The deflection of graduated leaf at load point refers to the vertical displacement that occurs when a load is applied, influenced by the leaf's varying thickness or stiffness.

How to calculate Thickness of each Leaf given Deflection at Load Point for Graduated length leaves?

Thickness of each Leaf given Deflection at Load Point for Graduated length leaves formula is defined as a measure of the thickness of each leaf in a mechanical system, considering the deflection at the load point, graduated length, and other parameters, providing a crucial calculation in mechanical engineering is calculated using Thickness of Leaf = ((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*Deflection of graduated leaf at load point))^(1/3). To calculate Thickness of each Leaf given Deflection at Load Point for Graduated length leaves, you need Force Taken by Graduated Length Leaves (P_g), Length of Cantilever of Leaf Spring (L), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Deflection of graduated leaf at load point (δ_g). With our tool, you need to enter the respective value for Force Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf & Deflection of graduated leaf at load point 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 Taken by Graduated Length Leaves, Length of Cantilever of Leaf Spring, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf & Deflection of graduated leaf at load point. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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