Maximum Bending Stress at Proof Load of Leaf Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Bending Stress at Proof Load = (4*Thickness of Section*Young's Modulus*Deflection of Spring)/Length in Spring^2
fproof load = (4*t*E*δ)/L^2
This formula uses 5 Variables
Variables Used
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.
Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
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.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Length in Spring - (Measured in Meter) - Length in Spring is the measurement or extent of something from end to end.
STEP 1: Convert Input(s) to Base Unit
Thickness of Section: 460 Millimeter --> 0.46 Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)
Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Length in Spring: 4170 Millimeter --> 4.17 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fproof load = (4*t*E*δ)/L^2 --> (4*0.46*20000000000*0.0034)/4.17^2
Evaluating ... ...
fproof load = 7195394.76332603
STEP 3: Convert Result to Output's Unit
7195394.76332603 Pascal -->7.19539476332603 Megapascal (Check conversion here)
FINAL ANSWER
7.19539476332603 7.195395 Megapascal <-- Maximum Bending Stress at Proof Load
(Calculation completed in 00.020 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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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

Maximum Bending Stress at Proof Load of Leaf Spring Formula

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

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 Maximum Bending Stress at Proof Load of Leaf Spring?

Maximum Bending Stress at Proof Load of Leaf Spring calculator uses Maximum Bending Stress at Proof Load = (4*Thickness of Section*Young's Modulus*Deflection of Spring)/Length in Spring^2 to calculate the Maximum Bending Stress at Proof Load, The Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as the largest stress caused by bending moments. Maximum Bending Stress at Proof Load is denoted by fproof load symbol.

How to calculate Maximum Bending Stress at Proof Load of Leaf Spring using this online calculator? To use this online calculator for Maximum Bending Stress at Proof Load of Leaf Spring, enter Thickness of Section (t), Young's Modulus (E), Deflection of Spring (δ) & Length in Spring (L) and hit the calculate button. Here is how the Maximum Bending Stress at Proof Load of Leaf Spring calculation can be explained with given input values -> 7.2E-6 = (4*0.46*20000000000*0.0034)/4.17^2.

FAQ

What is Maximum Bending Stress at Proof Load of Leaf Spring?
The Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as the largest stress caused by bending moments and is represented as fproof load = (4*t*E*δ)/L^2 or Maximum Bending Stress at Proof Load = (4*Thickness of Section*Young's Modulus*Deflection of Spring)/Length in Spring^2. Thickness of Section is the dimension through an object, as opposed to length or width, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Deflection of Spring is how a spring responds when force is applied or released & Length in Spring is the measurement or extent of something from end to end.
How to calculate Maximum Bending Stress at Proof Load of Leaf Spring?
The Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as the largest stress caused by bending moments is calculated using Maximum Bending Stress at Proof Load = (4*Thickness of Section*Young's Modulus*Deflection of Spring)/Length in Spring^2. To calculate Maximum Bending Stress at Proof Load of Leaf Spring, you need Thickness of Section (t), Young's Modulus (E), Deflection of Spring (δ) & Length in Spring (L). With our tool, you need to enter the respective value for Thickness of Section, Young's Modulus, Deflection of Spring & Length in 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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