Number of Plates 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%
✖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 of Section [t]			+10% -10%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%

✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates given Proof Load on Leaf Spring [n]

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Number of Plates given Proof Load on Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
n = (3*W_{O (Leaf Spring)}*L^3)/(8*E*b*t^3*δ)
This formula uses 7 Variables

Variables Used

Number of Plates - Number of Plates is the count of plates in the leaf spring.
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.
Width of Cross Section - (Measured in Meter) - Width of Cross Section is the geometric measurement or extent of the member from side to side.
Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.

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)
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)
Thickness of Section: 460 Millimeter --> 0.46 Meter (Check conversion here)
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (3*W_{O (Leaf Spring)}*L^3)/(8*E*b*t^3*δ) --> (3*585000*4.17^3)/(8*20000000000*0.3*0.46^3*0.0034)

Evaluating ... ...

n = 8.01109046940646

STEP 3: Convert Result to Output's Unit

8.01109046940646 --> No Conversion Required

FINAL ANSWER

8.01109046940646 ≈ 8.01109 <-- Number of Plates

(Calculation completed in 00.020 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)

Number of Plates 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 Number of Plates given Proof Load on Leaf Spring?

Number of Plates given Proof Load on Leaf Spring calculator uses 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) to calculate the Number of Plates, The Number of Plates given Proof Load on Leaf Spring formula is defined as count of joint of various plates that constitutes spring. Number of Plates is denoted by n symbol.

How to calculate Number of Plates given Proof Load on Leaf Spring using this online calculator? To use this online calculator for Number of Plates given Proof Load on Leaf Spring, enter Proof Load on Leaf Spring (W_{O (Leaf Spring)}), Length in Spring (L), Young's Modulus (E), Width of Cross Section (b), Thickness of Section (t) & Deflection of Spring (δ) and hit the calculate button. Here is how the Number of Plates given Proof Load on Leaf Spring calculation can be explained with given input values -> 8.01109 = (3*585000*4.17^3)/(8*20000000000*0.3*0.46^3*0.0034).

FAQ

What is Number of Plates given Proof Load on Leaf Spring?

The Number of Plates given Proof Load on Leaf Spring formula is defined as count of joint of various plates that constitutes spring and is represented as n = (3*W_{O (Leaf Spring)}*L^3)/(8*E*b*t^3*δ) or 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). 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, Width of Cross Section is the geometric measurement or extent of the member from side to side, Thickness of Section is the dimension through an object, as opposed to length or width & Deflection of Spring is how a spring responds when force is applied or released.

How to calculate Number of Plates given Proof Load on Leaf Spring?

The Number of Plates given Proof Load on Leaf Spring formula is defined as count of joint of various plates that constitutes spring is calculated using 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). To calculate Number of Plates 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), Width of Cross Section (b), Thickness of Section (t) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Proof Load on Leaf Spring, Length in Spring, Young's Modulus, Width of Cross Section, Thickness of Section & Deflection of Spring 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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