Thickness given Proof Load on Leaf Spring Calculator

✖Proof Load on Leaf Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation.ⓘ Proof Load on Leaf Spring [W_{O (Leaf Spring)}]			+10% -10%
✖Length in Spring is the measurement or extent of something from end to end.ⓘ Length in Spring [L]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates [n]			+10% -10%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖Width of Cross Section is the geometric measurement or extent of the member from side to side.ⓘ Width of Cross Section [b]			+10% -10%

✖Thickness of Section is the dimension through an object, as opposed to length or width.ⓘ Thickness given Proof Load on Leaf Spring [t]

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Thickness given Proof Load on Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Section = ((3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Deflection of Spring*Width of Cross Section))^(1/3)
t = ((3*W_{O (Leaf Spring)}*L^3)/(8*E*n*δ*b))^(1/3)
This formula uses 7 Variables

Variables Used

Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
Proof Load on Leaf Spring - (Measured in Newton) - Proof Load on Leaf Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation.
Length in Spring - (Measured in Meter) - Length in Spring is the measurement or extent of something from end to end.
Young's Modulus - (Measured in Pascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Number of Plates - Number of Plates is the count of plates in the leaf spring.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Width of Cross Section - (Measured in Meter) - Width of Cross Section is the geometric measurement or extent of the member from side to side.

STEP 1: Convert Input(s) to Base Unit

Proof Load on Leaf Spring: 585 Kilonewton --> 585000 Newton (Check conversion here)
Length in Spring: 4170 Millimeter --> 4.17 Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Number of Plates: 8 --> No Conversion Required
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((3*W_{O (Leaf Spring)}*L^3)/(8*E*n*δ*b))^(1/3) --> ((3*585000*4.17^3)/(8*20000000000*8*0.0034*0.3))^(1/3)

Evaluating ... ...

t = 0.460212469177895

STEP 3: Convert Result to Output's Unit

0.460212469177895 Meter -->460.212469177895 Millimeter (Check conversion here)

FINAL ANSWER

460.212469177895 ≈ 460.2125 Millimeter <-- Thickness of Section

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Leaf Springs Calculators

Modulus of Elasticity given Proof Load on Leaf Spring

LaTeX Go Young's Modulus = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)

Number of Plates given Proof Load on Leaf Spring

LaTeX Go Number of Plates = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Width of Cross Section*Thickness of Section^3*Deflection of Spring)

Width given Proof Load on Leaf Spring

LaTeX Go Width of Cross Section = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Thickness of Section^3*Deflection of Spring)

Proof Load on Leaf Spring

LaTeX Go Proof Load on Leaf Spring = (8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Length in Spring^3)

Thickness given Proof Load on Leaf Spring Formula

LaTeX Go

What is Leaf Spring?

A leaf spring takes the form of a slender arc-shaped length of spring steel of rectangular cross-section. In the most common configuration, the center of the arc provides location for the axle, while loops formed at either end provide for attaching to the vehicle chassis. For very heavy vehicles, a leaf spring can be made from several leaves stacked on top of each other in several layers, often with progressively shorter leaves.

How to Calculate Thickness given Proof Load on Leaf Spring?

Thickness given Proof Load on Leaf Spring calculator uses Thickness of Section = ((3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Deflection of Spring*Width of Cross Section))^(1/3) to calculate the Thickness of Section, The Thickness given Proof Load on Leaf Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly. Thickness of Section is denoted by t symbol.

How to calculate Thickness given Proof Load on Leaf Spring using this online calculator? To use this online calculator for Thickness given Proof Load on Leaf Spring, enter Proof Load on Leaf Spring (W_{O (Leaf Spring)}), Length in Spring (L), Young's Modulus (E), Number of Plates (n), Deflection of Spring (δ) & Width of Cross Section (b) and hit the calculate button. Here is how the Thickness given Proof Load on Leaf Spring calculation can be explained with given input values -> 460212.5 = ((3*585000*4.17^3)/(8*20000000000*8*0.0034*0.3))^(1/3).

FAQ

What is Thickness given Proof Load on Leaf Spring?

The Thickness given Proof Load on Leaf Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly and is represented as t = ((3*W_{O (Leaf Spring)}*L^3)/(8*E*n*δ*b))^(1/3) or Thickness of Section = ((3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Deflection of Spring*Width of Cross Section))^(1/3). Proof Load on Leaf Spring is the maximum tensile force that can be applied to a spring that will not result in plastic deformation, Length in Spring is the measurement or extent of something from end to end, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Number of Plates is the count of plates in the leaf spring, Deflection of Spring is how a spring responds when force is applied or released & Width of Cross Section is the geometric measurement or extent of the member from side to side.

How to calculate Thickness given Proof Load on Leaf Spring?

The Thickness given Proof Load on Leaf Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly is calculated using Thickness of Section = ((3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Deflection of Spring*Width of Cross Section))^(1/3). To calculate Thickness given Proof Load on Leaf Spring, you need Proof Load on Leaf Spring (W_{O (Leaf Spring)}), Length in Spring (L), Young's Modulus (E), Number of Plates (n), Deflection of Spring (δ) & Width of Cross Section (b). With our tool, you need to enter the respective value for Proof Load on Leaf Spring, Length in Spring, Young's Modulus, Number of Plates, Deflection of Spring & Width of Cross Section 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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