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

✖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 of Leaf Spring [L]			+10% -10%
✖Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.ⓘ Modulus of Elasticity of Spring [E]			+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%
✖Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.ⓘ Deflection of graduated leaf at load point [δ_g]			+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%

✖Width of Leaf is defined as the width of each leaf present in a multi-leaf spring.ⓘ Width of Each Leaf given Deflection at Load Point Graduated Length Leaves [b]

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Formula

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

Formula

`"b" = 6*"P"_{"g"}*"L"^3/("E"*"n"_{"g"}*"δ"_{"g"}*"t"^3)`

Example

`"112.2151mm"=6*"28900N"*("500mm")^3/("207000N/mm²"*"15"*"36mm"*("12mm")^3)`

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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 is defined as the width 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.
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.
Modulus of Elasticity of Spring - (Measured in Pascal) - Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it.
Number of Graduated Length Leaves - Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf.
Deflection of graduated leaf at load point - (Measured in Meter) - Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point.
Thickness of Leaf - (Measured in Meter) - Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

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: 36 Millimeter --> 0.036 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*0.036*0.012^3)

Evaluating ... ...

b = 0.112215090157253

STEP 3: Convert Result to Output's Unit

0.112215090157253 Meter -->112.215090157253 Millimeter (Check conversion here)

FINAL ANSWER

112.215090157253 ≈ 112.2151 Millimeter <-- Width of Leaf

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Width of Leaf » Width of Each Leaf given Deflection at Load Point Graduated Length Leaves

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Osmania University (OU), Hyderabad

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< 4 Width of Leaf Calculators

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

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

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

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

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

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 -> 112215.1 = 6*28900*0.5^3/(207000000000*15*0.036*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 is defined as the portion of force that is taken by graduated length leaves, The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring, Modulus of Elasticity of Spring is a quantity that measures the spring's wire resistance to being deformed elastically when a stress is applied to it, Number of Graduated Length Leaves is defined as the number of graduated-length leaves including master leaf, Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point & Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring.

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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