Width of Each Leaf given Deflection at Load Point 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%
✖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 Leaf [t]			+10% -10%

✖Width of leaf refers to the horizontal dimension of an individual layer in a leaf spring or structural element.ⓘ Width of Each Leaf given Deflection at Load Point Graduated Length Leaves [b]

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Width of Each Leaf given Deflection at Load Point Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Thickness of Leaf - (Measured in Meter) - Thickness of leaf refers to the dimension of an individual layer in a leaf spring or structural element.

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
Deflection of graduated leaf at load point: 37.404 Millimeter --> 0.037404 Meter (Check conversion here)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 6*P_g*L^3/(E*n_g*δ_g*t^3) --> 6*28900*0.5^3/(207000000000*15*0.037404*0.012^3)

Evaluating ... ...

b = 0.108002974164825

STEP 3: Convert Result to Output's Unit

0.108002974164825 Meter -->108.002974164825 Millimeter (Check conversion here)

FINAL ANSWER

108.002974164825 ≈ 108.003 Millimeter <-- Width of Leaf

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Width of Leaf Calculators

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves

LaTeX Go Width 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*Deflection of graduated leaf at load point*Thickness of Leaf^3)

Width of Each Leaf given Bending Stress on Graduated Length Leaves

LaTeX Go Width of Leaf = 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)*Bending Stress in graduated leaf*Thickness of Leaf^2)

Width of Each Leaf given Bending Stress in Plate

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

Width of Each Leaf given Bending Stress in Plate Extra Full Length

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

Width of Each Leaf given Deflection at Load Point 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 Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

Width of Each Leaf given Deflection at Load Point Graduated Length Leaves calculator uses Width 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*Deflection of graduated leaf at load point*Thickness of Leaf^3) to calculate the Width of Leaf, The Width of Each Leaf given Deflection at Load Point Graduated Length Leaves formula is defined as the width of each leaf present in a multi-leaf spring. Width of Leaf is denoted by b symbol.

How to calculate Width of Each Leaf given Deflection at Load Point Graduated Length Leaves using this online calculator? To use this online calculator for Width of Each Leaf given Deflection at Load Point 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), Deflection of graduated leaf at load point (δ_g) & Thickness of Leaf (t) and hit the calculate button. Here is how the Width of Each Leaf given Deflection at Load Point Graduated Length Leaves calculation can be explained with given input values -> 108005.9 = 6*28900*0.5^3/(207000000000*15*0.037404*0.012^3).

FAQ

What is Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

The Width of Each Leaf given Deflection at Load Point Graduated Length Leaves formula is defined as the width of each leaf present in a multi-leaf spring and is represented as b = 6*P_g*L^3/(E*n_g*δ_g*t^3) or Width 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*Deflection of graduated leaf at load point*Thickness of Leaf^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, 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 & Thickness of leaf refers to the dimension of an individual layer in a leaf spring or structural element.

How to calculate Width of Each Leaf given Deflection at Load Point Graduated Length Leaves?

The Width of Each Leaf given Deflection at Load Point Graduated Length Leaves formula is defined as the width of each leaf present in a multi-leaf spring is calculated using Width 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*Deflection of graduated leaf at load point*Thickness of Leaf^3). To calculate Width of Each Leaf given Deflection at Load Point 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), Deflection of graduated leaf at load point (δ_g) & 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, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Deflection of graduated leaf at load point & 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 Width of Leaf?

In this formula, Width 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, Deflection of graduated leaf at load point & Thickness of Leaf. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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