Deflection in Leaf Spring given Load Calculator

✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Spring Load [W_load]			+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%
✖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 Leaf Spring is how a spring responds when force is applied or released.ⓘ Deflection in Leaf Spring given Load [δ_Leaf]

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Deflection in Leaf Spring given Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)
δ_Leaf = (3*W_load*L^3)/(8*E*n*b*t^3)
This formula uses 7 Variables

Variables Used

Deflection of Leaf Spring - (Measured in Meter) - Deflection of Leaf Spring is how a spring responds when force is applied or released.
Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.
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 Megapascal) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Spring Load: 85 Newton --> 85 Newton No Conversion Required
Length in Spring: 4170 Millimeter --> 4.17 Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000 Megapascal No Conversion Required
Number of Plates: 8 --> No Conversion Required
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)
Thickness of Section: 460 Millimeter --> 0.46 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ_Leaf = (3*W_load*L^3)/(8*E*n*b*t^3) --> (3*85*4.17^3)/(8*20000*8*0.3*0.46^3)

Evaluating ... ...

δ_Leaf = 0.494701954200527

STEP 3: Convert Result to Output's Unit

0.494701954200527 Meter -->494.701954200527 Millimeter (Check conversion here)

FINAL ANSWER

494.701954200527 ≈ 494.702 Millimeter <-- Deflection of Leaf Spring

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Spring » Deflection in Spring » Spring of Square Section Wire » Leaf Springs » For Centrally Loaded Beam » Deflection in Leaf Spring given Load

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< For Centrally Loaded Beam Calculators

Modulus of Elasticity in Leaf Spring given Deflection

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

Number of plates given Deflection in Leaf Spring

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

Deflection in Leaf Spring given Load

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

Load given Deflection in Leaf Spring

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

Deflection in Leaf Spring given Load Formula

LaTeX Go

Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)
δ_Leaf = (3*W_load*L^3)/(8*E*n*b*t^3)

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 in Leaf Spring given Load?

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

How to calculate Deflection in Leaf Spring given Load using this online calculator? To use this online calculator for Deflection in Leaf Spring given Load, enter Spring Load (W_load), Length in Spring (L), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b) & Thickness of Section (t) and hit the calculate button. Here is how the Deflection in Leaf Spring given Load calculation can be explained with given input values -> 494702 = (3*85*4.17^3)/(8*20000000000*8*0.3*0.46^3).

FAQ

What is Deflection in Leaf Spring given Load?

The Deflection in Leaf Spring given Load formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded and is represented as δ_Leaf = (3*W_load*L^3)/(8*E*n*b*t^3) or Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3). Spring Load is the instantaneous load applied perpendicular to the specimen cross section, 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, 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.

How to calculate Deflection in Leaf Spring given Load?

The Deflection in Leaf Spring given Load formula is defined as the maximum distance moved by fiber from the neutral axis when the spring is loaded is calculated using Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3). To calculate Deflection in Leaf Spring given Load, you need Spring Load (W_load), Length in Spring (L), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b) & Thickness of Section (t). With our tool, you need to enter the respective value for Spring Load, Length in Spring, Young's Modulus, Number of Plates, Width of Cross Section & Thickness of 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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