Force Taken by Graduated length leaves given Deflection at Load Point Calculator

✖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%
✖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%
✖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 defined as the thickness of each leaf present in a multi-leaf spring.ⓘ Thickness of Leaf [t]			+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%

✖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 given Deflection at Load Point [P_g]

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Formula

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Force Taken by Graduated length leaves given Deflection at Load Point

Formula

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

Example

`"27814.44N"="36mm"*"207000N/mm²"*"15"*"108mm"*("12mm")^3/(6*("500mm")^3)`

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Force Taken by Graduated length leaves given Deflection at Load Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Taken by Graduated Length Leaves = Deflection of graduated leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(6*Length of Cantilever of Leaf Spring^3)
P_g = δ_g*E*n_g*b*t^3/(6*L^3)
This formula uses 7 Variables

Variables Used

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.
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.
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.
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 defined as the thickness of each leaf present in a multi-leaf spring.
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.

STEP 1: Convert Input(s) to Base Unit

Deflection of graduated leaf at load point: 36 Millimeter --> 0.036 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)
Thickness of Leaf: 12 Millimeter --> 0.012 Meter (Check conversion here)
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_g = δ_g*E*n_g*b*t^3/(6*L^3) --> 0.036*207000000000*15*0.108*0.012^3/(6*0.5^3)

Evaluating ... ...

P_g = 27814.44096

STEP 3: Convert Result to Output's Unit

27814.44096 Newton --> No Conversion Required

FINAL ANSWER

27814.44096 ≈ 27814.44 Newton <-- Force Taken by Graduated Length Leaves

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Force Taken By Leaves » Force Taken by Graduated length leaves given Deflection at Load Point

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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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< 11 Force Taken By Leaves Calculators

Force Taken by Graduated length leaves given Deflection at Load Point

Go Force Taken by Graduated Length Leaves = Deflection of graduated leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(6*Length of Cantilever of Leaf Spring^3)

Force applied at end of Spring given Bending Stress on Graduated length leaves

Go Force Applied at End of Leaf Spring = Bending Stress in graduated leaf*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)*Width of Leaf*Thickness of Leaf^2/(12*Length of Cantilever of Leaf Spring)

Force taken by Graduated length leaves given Bending Stress in Plate

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

Force Taken by Full Length Leaves given Bending Stress in Plate Extra Full Length

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

Force Applied at End of Spring given Force Taken by Graduated length Leaves

Go Force Applied at End of Leaf Spring = Force Taken by Graduated Length Leaves*(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)/(2*Number of Graduated Length Leaves)

Force Taken by Graduated Length Leaves in Terms of Force Applied at End of Spring

Go Force Taken by Graduated Length Leaves = 2*Number of Graduated Length Leaves*Force Applied at End of Leaf Spring/(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)

Force taken by Extra Full length leaves given Number of leaves

Go Force Taken by Full Length Leaves = Force Taken by Graduated Length Leaves*3*Number of Full length Leaves/(2*Number of Graduated Length Leaves)

Force Taken by Graduated length leaves given Number of Leaves

Go Force Taken by Graduated Length Leaves = 2*Force Taken by Full Length Leaves*Number of Graduated Length Leaves/(3*Number of Full length Leaves)

Force taken by graduated length leaves given force applied at end of spring

Go Force Taken by Graduated Length Leaves = Force Applied at End of Leaf Spring-Force Taken by Full Length Leaves

Force Taken by Full length Leaves given Force at end of Spring

Go Force Taken by Full Length Leaves = Force Applied at End of Leaf Spring-Force Taken by Graduated Length Leaves

Force applied at end of Leaf Spring

Go Force Applied at End of Leaf Spring = Force Taken by Graduated Length Leaves+Force Taken by Full Length Leaves

Force Taken by Graduated length leaves given Deflection at Load Point 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 Force Taken by Graduated length leaves given Deflection at Load Point?

Force Taken by Graduated length leaves given Deflection at Load Point calculator uses Force Taken by Graduated Length Leaves = Deflection of graduated leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(6*Length of Cantilever of Leaf Spring^3) to calculate the Force Taken by Graduated Length Leaves, Force Taken by Graduated length leaves given Deflection at Load Point is defined as the portion of force that is taken by the graduated length leaves. Force Taken by Graduated Length Leaves is denoted by P_g symbol.

How to calculate Force Taken by Graduated length leaves given Deflection at Load Point using this online calculator? To use this online calculator for Force Taken by Graduated length leaves given Deflection at Load Point, enter Deflection of graduated leaf at load point (δ_g), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L) and hit the calculate button. Here is how the Force Taken by Graduated length leaves given Deflection at Load Point calculation can be explained with given input values -> 27814.44 = 0.036*207000000000*15*0.108*0.012^3/(6*0.5^3).

FAQ

What is Force Taken by Graduated length leaves given Deflection at Load Point?

Force Taken by Graduated length leaves given Deflection at Load Point is defined as the portion of force that is taken by the graduated length leaves and is represented as P_g = δ_g*E*n_g*b*t^3/(6*L^3) or Force Taken by Graduated Length Leaves = Deflection of graduated leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(6*Length of Cantilever of Leaf Spring^3). Deflection of graduated leaf at load point is how much the leaf of the spring deviates from its position at the load application point, 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, Width of Leaf is defined as the width of each leaf present in a multi-leaf spring, Thickness of Leaf is defined as the thickness of each leaf present in a multi-leaf spring & The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.

How to calculate Force Taken by Graduated length leaves given Deflection at Load Point?

Force Taken by Graduated length leaves given Deflection at Load Point is defined as the portion of force that is taken by the graduated length leaves is calculated using Force Taken by Graduated Length Leaves = Deflection of graduated leaf at load point*Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3/(6*Length of Cantilever of Leaf Spring^3). To calculate Force Taken by Graduated length leaves given Deflection at Load Point, you need Deflection of graduated leaf at load point (δ_g), Modulus of Elasticity of Spring (E), Number of Graduated Length Leaves (n_g), Width of Leaf (b), Thickness of Leaf (t) & Length of Cantilever of Leaf Spring (L). With our tool, you need to enter the respective value for Deflection of graduated leaf at load point, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever 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 Force Taken by Graduated Length Leaves?

In this formula, Force Taken by Graduated Length Leaves uses Deflection of graduated leaf at load point, Modulus of Elasticity of Spring, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever of Leaf Spring. We can use 4 other way(s) to calculate the same, which is/are as follows -

Force Taken by Graduated Length Leaves = Bending Stress in graduated leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Length of Cantilever of Leaf Spring)
Force Taken by Graduated Length Leaves = 2*Force Taken by Full Length Leaves*Number of Graduated Length Leaves/(3*Number of Full length Leaves)
Force Taken by Graduated Length Leaves = Force Applied at End of Leaf Spring-Force Taken by Full Length Leaves
Force Taken by Graduated Length Leaves = 2*Number of Graduated Length Leaves*Force Applied at End of Leaf Spring/(3*Number of Full length Leaves+2*Number of Graduated Length Leaves)

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