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

✖Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring.ⓘ Bending Stress in graduated leaf [σ_bg]			+10% -10%
✖Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.ⓘ 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%
✖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 Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.ⓘ Force applied at end of Spring given Bending Stress on Graduated length leaves [P]

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Formula

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

Formula

`"P" = ("σ"_{"b"}"g")*(3*"n"_{"f"}+2*"n"_{"g"})*"b"*"t"^2/(12*"L")`

Example

`"45287.42N"="448N/mm²"*(3*"3"+2*"15")*"108mm"*("12mm")^2/(12*"500mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
P = σ_bg*(3*n_f+2*n_g)*b*t^2/(12*L)
This formula uses 7 Variables

Variables Used

Force Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is defined as the net amount of force that is acting onto the spring.
Bending Stress in graduated leaf - (Measured in Pascal) - Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring.
Number of Full length Leaves - Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring.
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

Bending Stress in graduated leaf: 448 Newton per Square Millimeter --> 448000000 Pascal (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)
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 = σ_bg*(3*n_f+2*n_g)*b*t^2/(12*L) --> 448000000*(3*3+2*15)*0.108*0.012^2/(12*0.5)

Evaluating ... ...

P = 45287.424

STEP 3: Convert Result to Output's Unit

45287.424 Newton --> No Conversion Required

FINAL ANSWER

45287.424 ≈ 45287.42 Newton <-- Force Applied at End of Leaf Spring

(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 applied at end of Spring given Bending Stress on Graduated 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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< 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 applied at end of Spring given Bending Stress on Graduated length leaves Formula

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

Force applied at end of Spring given Bending Stress on Graduated length leaves calculator uses 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) to calculate the Force Applied at End of Leaf Spring, Force applied at end of Spring given Bending Stress on Graduated length leaves is defined as the total amount of net force acting on the multi-leaf spring. Force Applied at End of Leaf Spring is denoted by P symbol.

How to calculate Force applied at end of Spring given Bending Stress on Graduated length leaves using this online calculator? To use this online calculator for Force applied at end of Spring given Bending Stress on Graduated length leaves, enter Bending Stress in graduated leaf (σ_bg), Number of Full length Leaves (n_f), 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 applied at end of Spring given Bending Stress on Graduated length leaves calculation can be explained with given input values -> 45287.42 = 448000000*(3*3+2*15)*0.108*0.012^2/(12*0.5).

FAQ

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

Force applied at end of Spring given Bending Stress on Graduated length leaves is defined as the total amount of net force acting on the multi-leaf spring and is represented as P = σ_bg*(3*n_f+2*n_g)*b*t^2/(12*L) or 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). Bending Stress in graduated leaf is the normal bending stress that is induced at a point in an extra graduated length leaves of a leaf spring, Number of Full length Leaves is defined as the total number of extra full length leaves present in a multi-leaf spring, 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 applied at end of Spring given Bending Stress on Graduated length leaves?

Force applied at end of Spring given Bending Stress on Graduated length leaves is defined as the total amount of net force acting on the multi-leaf spring is calculated using 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). To calculate Force applied at end of Spring given Bending Stress on Graduated length leaves, you need Bending Stress in graduated leaf (σ_bg), Number of Full length Leaves (n_f), 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 Bending Stress in graduated leaf, Number of Full length Leaves, 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 Applied at End of Leaf Spring?

In this formula, Force Applied at End of Leaf Spring uses Bending Stress in graduated leaf, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf, Thickness of Leaf & Length of Cantilever of Leaf Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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