Modulus of Elasticity given Proof Load on Leaf Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
E = (3*WO (Leaf Spring)*L^3)/(8*n*b*t^3*δ)
This formula uses 7 Variables
Variables Used
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.
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.
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.
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)
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)
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (3*WO (Leaf Spring)*L^3)/(8*n*b*t^3*δ) --> (3*585000*4.17^3)/(8*8*0.3*0.46^3*0.0034)
Evaluating ... ...
E = 20027726173.5161
STEP 3: Convert Result to Output's Unit
20027726173.5161 Pascal -->20027.7261735161 Megapascal (Check conversion ​here)
FINAL ANSWER
20027.7261735161 20027.73 Megapascal <-- Young's Modulus
(Calculation completed in 00.004 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)

Modulus of Elasticity given Proof Load on Leaf Spring Formula

​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)
E = (3*WO (Leaf Spring)*L^3)/(8*n*b*t^3*δ)

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 given Proof Load on Leaf Spring?

Modulus of Elasticity given Proof Load on Leaf Spring calculator uses 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) to calculate the Young's Modulus, The Modulus of Elasticity given Proof Load on Leaf Spring formula is defined as the measure of the 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 given Proof Load on Leaf Spring using this online calculator? To use this online calculator for Modulus of Elasticity given Proof Load on Leaf Spring, enter Proof Load on Leaf Spring (WO (Leaf Spring)), Length in Spring (L), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t) & Deflection of Spring (δ) and hit the calculate button. Here is how the Modulus of Elasticity given Proof Load on Leaf Spring calculation can be explained with given input values -> 0.020028 = (3*585000*4.17^3)/(8*8*0.3*0.46^3*0.0034).

FAQ

What is Modulus of Elasticity given Proof Load on Leaf Spring?
The Modulus of Elasticity given Proof Load on Leaf Spring formula is defined as the measure of the object's or substance's resistance to being deformed elastically when stress is applied and is represented as E = (3*WO (Leaf Spring)*L^3)/(8*n*b*t^3*δ) or 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). 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, 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 & Deflection of Spring is how a spring responds when force is applied or released.
How to calculate Modulus of Elasticity given Proof Load on Leaf Spring?
The Modulus of Elasticity given Proof Load on Leaf Spring formula is defined as the measure of the object's or substance's resistance to being deformed elastically when stress is applied is calculated using 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). To calculate Modulus of Elasticity given Proof Load on Leaf Spring, you need Proof Load on Leaf Spring (WO (Leaf Spring)), Length in Spring (L), Number of Plates (n), 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, Number of Plates, 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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