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)
δLeaf = (3*Wload*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
δLeaf = (3*Wload*L^3)/(8*E*n*b*t^3) --> (3*85*4.17^3)/(8*20000*8*0.3*0.46^3)
Evaluating ... ...
δLeaf = 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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6 For Centrally Loaded Beam Calculators

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

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)
δLeaf = (3*Wload*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 δLeaf 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 (Wload), 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 δLeaf = (3*Wload*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 (Wload), 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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