Bending Stress on Graduated Length Leaves Calculator

✖Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.ⓘ Force Applied at End of Leaf Spring [P]			+10% -10%
✖Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.ⓘ Length of Cantilever of Leaf Spring [L]			+10% -10%
✖Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.ⓘ 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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.ⓘ Thickness of Leaf [t]			+10% -10%

✖Bending Stress in graduated leaf is the stress developed in a leaf due to its own weight and external forces, affecting its shape and structure.ⓘ Bending Stress on Graduated Length Leaves [σ_bg]

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Bending Stress on Graduated Length Leaves Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Graduated 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)*Width of Leaf*Thickness of Leaf^2)
σ_bg = 12*P*L/((3*n_f+2*n_g)*b*t^2)
This formula uses 7 Variables

Variables Used

Bending Stress in Graduated Leaf - (Measured in Pascal) - Bending Stress in graduated leaf is the stress developed in a leaf due to its own weight and external forces, affecting its shape and structure.
Force Applied at End of Leaf Spring - (Measured in Newton) - Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance.
Length of Cantilever of Leaf Spring - (Measured in Meter) - Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system.
Number of Full length Leaves - Number of Full Length Leaves is the count of leaves that have reached their maximum possible length.
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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

STEP 1: Convert Input(s) to Base Unit

Force Applied at End of Leaf Spring: 37500 Newton --> 37500 Newton No Conversion Required
Length of Cantilever of Leaf Spring: 500 Millimeter --> 0.5 Meter (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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_bg = 12*P*L/((3*n_f+2*n_g)*b*t^2) --> 12*37500*0.5/((3*3+2*15)*0.108*0.012^2)

Evaluating ... ...

σ_bg = 370963912.630579

STEP 3: Convert Result to Output's Unit

370963912.630579 Pascal -->370.963912630579 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

370.963912630579 ≈ 370.9639 Newton per Square Millimeter <-- Bending Stress in Graduated Leaf

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Multi Leaf Spring » Mechanical » Extra Full Length Leaves » Bending Stress on Graduated Length Leaves

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< Extra Full Length Leaves Calculators

Modulus of Elasticity of leaf given Deflection at Load Point Graduated Length Leaves

LaTeX Go Modulus of Elasticity of Spring = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Deflection of Graduated Leaf at Load Point*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

Deflection at Load Point Graduated Length Leaves

LaTeX Go Deflection of Graduated Leaf at Load Point = 6*Force Taken by Graduated Length Leaves*Length of Cantilever of Leaf Spring^3/(Modulus of Elasticity of Spring*Number of Graduated Length Leaves*Width of Leaf*Thickness of Leaf^3)

Bending Stress in Plate Graduated Length Leaves

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

Bending Stress in Plate Extra Full Length

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

Bending Stress on Graduated Length Leaves Formula

LaTeX Go

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 Bending Stress on Graduated Length Leaves?

Bending Stress on Graduated Length Leaves calculator uses Bending Stress in Graduated 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)*Width of Leaf*Thickness of Leaf^2) to calculate the Bending Stress in Graduated Leaf, Bending Stress on Graduated Length Leaves formula is defined as a measure of the stress experienced by graduated length leaves due to external loads, taking into account the leaf's dimensions, material properties, and the number of full and graduated leaves, providing a critical safety parameter in the design of leaf-based systems. Bending Stress in Graduated Leaf is denoted by σ_bg symbol.

How to calculate Bending Stress on Graduated Length Leaves using this online calculator? To use this online calculator for Bending Stress on Graduated Length Leaves, enter Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t) and hit the calculate button. Here is how the Bending Stress on Graduated Length Leaves calculation can be explained with given input values -> 0.000371 = 12*37500*0.5/((3*3+2*15)*0.108*0.012^2).

FAQ

What is Bending Stress on Graduated Length Leaves?

Bending Stress on Graduated Length Leaves formula is defined as a measure of the stress experienced by graduated length leaves due to external loads, taking into account the leaf's dimensions, material properties, and the number of full and graduated leaves, providing a critical safety parameter in the design of leaf-based systems and is represented as σ_bg = 12*P*L/((3*n_f+2*n_g)*b*t^2) or Bending Stress in Graduated 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)*Width of Leaf*Thickness of Leaf^2). Force Applied at End of Leaf Spring is the force exerted at the end of a leaf spring with extra full length leaves, affecting its overall performance, Length of Cantilever of Leaf Spring is the distance from the fixed point to the end of the cantilever in an extra full-length leaf spring system, Number of Full Length Leaves is the count of leaves that have reached their maximum possible length, 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 the measure of the distance from the top surface to the bottom surface of a leaf in extra full length leaves.

How to calculate Bending Stress on Graduated Length Leaves?

Bending Stress on Graduated Length Leaves formula is defined as a measure of the stress experienced by graduated length leaves due to external loads, taking into account the leaf's dimensions, material properties, and the number of full and graduated leaves, providing a critical safety parameter in the design of leaf-based systems is calculated using Bending Stress in Graduated 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)*Width of Leaf*Thickness of Leaf^2). To calculate Bending Stress on Graduated Length Leaves, you need Force Applied at End of Leaf Spring (P), Length of Cantilever of Leaf Spring (L), Number of Full length Leaves (n_f), Number of Graduated Length Leaves (n_g), Width of Leaf (b) & Thickness of Leaf (t). With our tool, you need to enter the respective value for Force Applied at End of Leaf Spring, Length of Cantilever of Leaf Spring, Number of Full length Leaves, Number of Graduated Length Leaves, Width of Leaf & Thickness of Leaf and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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