Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring)
E = (fproof load*L^2)/(4*t*δ)
This formula uses 5 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.
Maximum Bending Stress at Proof Load - (Measured in Pascal) - Maximum Bending Stress at Proof Load is the maximum normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Length in Spring - (Measured in Meter) - Length in Spring is the measurement or extent of something from end to end.
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
Maximum Bending Stress at Proof Load: 7.2 Megapascal --> 7200000 Pascal (Check conversion here)
Length in Spring: 4170 Millimeter --> 4.17 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 = (fproof load*L^2)/(4*t*δ) --> (7200000*4.17^2)/(4*0.46*0.0034)
Evaluating ... ...
E = 20012800511.5089
STEP 3: Convert Result to Output's Unit
20012800511.5089 Pascal -->20012.800511509 Megapascal (Check conversion here)
FINAL ANSWER
20012.800511509 20012.8 Megapascal <-- Young's Modulus
(Calculation completed in 00.004 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!

5 At Proof Load Calculators

Length given Maximum Bending Stress at Proof Load of Leaf Spring
Go Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load)
Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring
Go Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring)
Deflection given Maximum Bending Stress at Proof Load of Leaf Spring
Go Deflection of Spring = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Young's Modulus)
Thickness given Maximum Bending Stress at Proof Load of Leaf Spring
Go Thickness of Section = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Young's Modulus*Deflection of Spring)
Maximum Bending Stress at Proof Load of Leaf Spring
Go Maximum Bending Stress at Proof Load = (4*Thickness of Section*Young's Modulus*Deflection of Spring)/Length in Spring^2

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring Formula

Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring)
E = (fproof load*L^2)/(4*t*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 Maximum Bending Stress at Proof Load of Leaf Spring?

Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring calculator uses Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring) to calculate the Young's Modulus, The Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring 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 given Maximum Bending Stress at Proof Load of Leaf Spring using this online calculator? To use this online calculator for Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring, enter Maximum Bending Stress at Proof Load (fproof load), Length in Spring (L), Thickness of Section (t) & Deflection of Spring (δ) and hit the calculate button. Here is how the Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring calculation can be explained with given input values -> 0.019956 = (7200000*4.17^2)/(4*0.46*0.0034).

FAQ

What is Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring?
The Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring 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 = (fproof load*L^2)/(4*t*δ) or Young's Modulus = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring). Maximum Bending Stress at Proof Load is the maximum normal stress that is induced at a point in a body subjected to loads that cause it to bend, Length in Spring is the measurement or extent of something from end to end, 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 Maximum Bending Stress at Proof Load of Leaf Spring?
The Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring 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 = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Deflection of Spring). To calculate Modulus of Elasticity given Maximum Bending Stress at Proof Load of Leaf Spring, you need Maximum Bending Stress at Proof Load (fproof load), Length in Spring (L), Thickness of Section (t) & Deflection of Spring (δ). With our tool, you need to enter the respective value for Maximum Bending Stress at Proof Load, Length in Spring, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!