Deflection 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%
✖Thickness of Section is the dimension through an object, as opposed to length or width.ⓘ Thickness of Section [t]			+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%

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection given Proof Load on Leaf Spring [δ]

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Formula

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Deflection given Proof Load on Leaf Spring

Formula

`"δ" = (3*"W"_{"O (Leaf Spring)"}*"L"^3)/(8*"E"*"n"*"t"^3*"b")`

Example

`"3.404713mm"=(3*"585kN"*("4170mm")^3)/(8*"20000MPa"*"8"*("460mm")^3*"300mm")`

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Deflection given Proof Load on Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
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.
Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
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
Thickness of Section: 460 Millimeter --> 0.46 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

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

Evaluating ... ...

δ = 0.00340471344949774

STEP 3: Convert Result to Output's Unit

0.00340471344949774 Meter -->3.40471344949774 Millimeter (Check conversion here)

FINAL ANSWER

3.40471344949774 ≈ 3.404713 Millimeter <-- Deflection of Spring

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Spring » Proof Load on Spring » Leaf Springs » Deflection given Proof Load on Leaf Spring

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 7 Leaf Springs Calculators

Thickness given Proof Load on Leaf Spring

Go 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)

Length given Proof Load on Leaf Spring

Go Length in Spring = ((8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3*Deflection of Spring)/(3*Proof Load on Leaf Spring))^(1/3)

Modulus of Elasticity given Proof Load on Leaf Spring

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

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)

Deflection given Proof Load on Leaf Spring

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

Width given Proof Load on Leaf Spring

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

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)

Deflection given Proof Load on Leaf Spring Formula

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 Deflection given Proof Load on Leaf Spring?

Deflection given Proof Load on Leaf Spring calculator uses Deflection of Spring = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Thickness of Section^3*Width of Cross Section) to calculate the Deflection of Spring, The Deflection given Proof Load on Leaf Spring formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded. Deflection of Spring is denoted by δ symbol.

How to calculate Deflection given Proof Load on Leaf Spring using this online calculator? To use this online calculator for Deflection 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), Thickness of Section (t) & Width of Cross Section (b) and hit the calculate button. Here is how the Deflection given Proof Load on Leaf Spring calculation can be explained with given input values -> 3404.713 = (3*585000*4.17^3)/(8*20000000000*8*0.46^3*0.3).

FAQ

What is Deflection given Proof Load on Leaf Spring?

The Deflection given Proof Load on Leaf Spring formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded and is represented as δ = (3*W_{O (Leaf Spring)}*L^3)/(8*E*n*t^3*b) or Deflection of Spring = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Thickness of Section^3*Width of Cross Section). 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, Thickness of Section is the dimension through an object, as opposed to length or width & Width of Cross Section is the geometric measurement or extent of the member from side to side.

How to calculate Deflection given Proof Load on Leaf Spring?

The Deflection given Proof Load on Leaf Spring formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded is calculated using Deflection of Spring = (3*Proof Load on Leaf Spring*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Thickness of Section^3*Width of Cross Section). To calculate Deflection 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), Thickness of Section (t) & 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, Thickness of Section & 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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