Modulus of Elasticity in Leaf Spring given Deflection Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
E = (3*Wload*L^3)/(8*δLeaf*n*b*t^3)
This formula uses 7 Variables
Variables Used
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.
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.
Deflection of Leaf Spring - (Measured in Meter) - Deflection of Leaf Spring is how a spring responds when force is applied or released.
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)
Deflection of Leaf Spring: 494 Millimeter --> 0.494 Meter (Check conversion here)
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
E = (3*Wload*L^3)/(8*δLeaf*n*b*t^3) --> (3*85*4.17^3)/(8*0.494*8*0.3*0.46^3)
Evaluating ... ...
E = 20028.4191984019
STEP 3: Convert Result to Output's Unit
20028419198.4019 Pascal -->20028.4191984019 Megapascal (Check conversion here)
FINAL ANSWER
20028.4191984019 20028.42 Megapascal <-- Young's Modulus
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

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)

Modulus of Elasticity in Leaf Spring given Deflection Formula

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)
E = (3*Wload*L^3)/(8*δLeaf*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 Modulus of Elasticity in Leaf Spring given Deflection?

Modulus of Elasticity in Leaf Spring given Deflection calculator uses 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) to calculate the Young's Modulus, The Modulus of Elasticity in Leaf Spring given Deflection formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied. Young's Modulus is denoted by E symbol.

How to calculate Modulus of Elasticity in Leaf Spring given Deflection using this online calculator? To use this online calculator for Modulus of Elasticity in Leaf Spring given Deflection, enter Spring Load (Wload), Length in Spring (L), Deflection of Leaf Spring Leaf), Number of Plates (n), Width of Cross Section (b) & Thickness of Section (t) and hit the calculate button. Here is how the Modulus of Elasticity in Leaf Spring given Deflection calculation can be explained with given input values -> 2.9E-6 = (3*85*4.17^3)/(8*0.494*8*0.3*0.46^3).

FAQ

What is Modulus of Elasticity in Leaf Spring given Deflection?
The Modulus of Elasticity in Leaf Spring given Deflection formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied and is represented as E = (3*Wload*L^3)/(8*δLeaf*n*b*t^3) or 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). 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, Deflection of Leaf Spring is how a spring responds when force is applied or released, 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 Modulus of Elasticity in Leaf Spring given Deflection?
The Modulus of Elasticity in Leaf Spring given Deflection formula is defined as the measure of an object's or substance's resistance to being deformed elastically when stress is applied is calculated using 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). To calculate Modulus of Elasticity in Leaf Spring given Deflection, you need Spring Load (Wload), Length in Spring (L), Deflection of Leaf Spring Leaf), 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, Deflection of Leaf Spring, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!