Length of Cantilever given Bending Stress in Plate of Extra Full Length Calculator

✖Bending Stress in full leaf is the normal bending stress that is induced at a point in extra full-length leaves of a leaf spring.ⓘ Bending Stress in full leaf [σ_bf]			+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%
✖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%
✖Force Taken by Full Length Leaves is defined as the portion of Force that is taken by extra full length leaves.ⓘ Force Taken by Full Length Leaves [P_f]			+10% -10%

✖The Length of Cantilever of Leaf Spring is defined as half the length of a semi-elliptic spring.ⓘ Length of Cantilever given Bending Stress in Plate of Extra Full Length [L]

⎘ Copy

👎

Formula

✖

Length of Cantilever given Bending Stress in Plate of Extra Full Length

Formula

`"L" = ("σ"_{"b"}"f")*"n"_{"f"}*"b"*"t"^2/(6*"P"_{"f"})`

Example

`"406.8837mm"="450N/mm²"*"3"*"108mm"*("12mm")^2/(6*"8600N")`

Calculator

LaTeX

Reset

👍

Download Design of Automobile Elements Formula PDF

Length of Cantilever given Bending Stress in Plate of Extra Full Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cantilever of Leaf Spring = Bending Stress in full leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves)
L = σ_bf*n_f*b*t^2/(6*P_f)
This formula uses 6 Variables

Variables Used

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.
Bending Stress in full leaf - (Measured in Pascal) - Bending Stress in full leaf is the normal bending stress that is induced at a point in extra full-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.
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.
Force Taken by Full Length Leaves - (Measured in Newton) - Force Taken by Full Length Leaves is defined as the portion of Force that is taken by extra full length leaves.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in full leaf: 450 Newton per Square Millimeter --> 450000000 Pascal (Check conversion here)
Number of Full length Leaves: 3 --> 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)
Force Taken by Full Length Leaves: 8600 Newton --> 8600 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = σ_bf*n_f*b*t^2/(6*P_f) --> 450000000*3*0.108*0.012^2/(6*8600)

Evaluating ... ...

L = 0.406883720930233

STEP 3: Convert Result to Output's Unit

0.406883720930233 Meter -->406.883720930233 Millimeter (Check conversion here)

FINAL ANSWER

406.883720930233 ≈ 406.8837 Millimeter <-- Length of Cantilever of Leaf Spring

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Automobile Elements » Design of Springs » Multi-Leaf Spring » Length of Cantilever » Length of Cantilever given Bending Stress in Plate of Extra Full Length

Credits

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

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 4 Length of Cantilever Calculators

Length of Cantilever given Deflection at Load Point of Graduated length leaves

Go Length of Cantilever of Leaf Spring = (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*Force Taken by Graduated Length Leaves))^(1/3)

Length of Cantilever given Bending Stress on Graduated Length Leaves

Go Length of Cantilever 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*Force Applied at End of Leaf Spring)

Length of Cantilever given Bending Stress in Plate

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

Length of Cantilever given Bending Stress in Plate of Extra Full Length

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

Length of Cantilever given Bending Stress in Plate of Extra Full Length Formula

Length of Cantilever of Leaf Spring = Bending Stress in full leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves)
L = σ_bf*n_f*b*t^2/(6*P_f)

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 Length of Cantilever given Bending Stress in Plate of Extra Full Length?

Length of Cantilever given Bending Stress in Plate of Extra Full Length calculator uses Length of Cantilever of Leaf Spring = Bending Stress in full leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves) to calculate the Length of Cantilever of Leaf Spring, The Length of Cantilever given Bending Stress in Plate of Extra Full Length formula is defined as a rigid structural element that extends horizontally and is supported at only one end. Length of Cantilever of Leaf Spring is denoted by L symbol.

How to calculate Length of Cantilever given Bending Stress in Plate of Extra Full Length using this online calculator? To use this online calculator for Length of Cantilever given Bending Stress in Plate of Extra Full Length, enter Bending Stress in full leaf (σ_bf), Number of Full length Leaves (n_f), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Full Length Leaves (P_f) and hit the calculate button. Here is how the Length of Cantilever given Bending Stress in Plate of Extra Full Length calculation can be explained with given input values -> 406883.7 = 450000000*3*0.108*0.012^2/(6*8600).

FAQ

What is Length of Cantilever given Bending Stress in Plate of Extra Full Length?

The Length of Cantilever given Bending Stress in Plate of Extra Full Length formula is defined as a rigid structural element that extends horizontally and is supported at only one end and is represented as L = σ_bf*n_f*b*t^2/(6*P_f) or Length of Cantilever of Leaf Spring = Bending Stress in full leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves). Bending Stress in full leaf is the normal bending stress that is induced at a point in extra full-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, 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 & Force Taken by Full Length Leaves is defined as the portion of Force that is taken by extra full length leaves.

How to calculate Length of Cantilever given Bending Stress in Plate of Extra Full Length?

The Length of Cantilever given Bending Stress in Plate of Extra Full Length formula is defined as a rigid structural element that extends horizontally and is supported at only one end is calculated using Length of Cantilever of Leaf Spring = Bending Stress in full leaf*Number of Full length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Full Length Leaves). To calculate Length of Cantilever given Bending Stress in Plate of Extra Full Length, you need Bending Stress in full leaf (σ_bf), Number of Full length Leaves (n_f), Width of Leaf (b), Thickness of Leaf (t) & Force Taken by Full Length Leaves (P_f). With our tool, you need to enter the respective value for Bending Stress in full leaf, Number of Full length Leaves, Width of Leaf, Thickness of Leaf & Force Taken by Full Length Leaves 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 Length of Cantilever of Leaf Spring?

In this formula, Length of Cantilever of Leaf Spring uses Bending Stress in full leaf, Number of Full length Leaves, Width of Leaf, Thickness of Leaf & Force Taken by Full Length Leaves. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Cantilever of Leaf Spring = Bending Stress in graduated leaf*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^2/(6*Force Taken by Graduated Length Leaves)
Length of Cantilever of Leaf Spring = (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*Force Taken by Graduated Length Leaves))^(1/3)
Length of Cantilever 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*Force Applied at End of Leaf Spring)

Home

FREE PDFs

🔍 Search