Thickness given Maximum Bending Stress in Quarter Elliptical Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thickness of Section = sqrt((6*Spring Load*Length in Spring)/(Number of Plates*Width of Cross Section*Maximum Bending Stress in Elliptical Spring))
t = sqrt((6*Wload*L)/(n*b*felliptical spring))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
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.
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.
Maximum Bending Stress in Elliptical Spring - (Measured in Pascal) - Maximum Bending Stress in Elliptical Spring is the maximum normal stress that is induced at a point in a body subjected to loads that cause it to bend.
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)
Number of Plates: 8 --> No Conversion Required
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)
Maximum Bending Stress in Elliptical Spring: 4187.736 Pascal --> 4187.736 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = sqrt((6*Wload*L)/(n*b*felliptical spring)) --> sqrt((6*85*4.17)/(8*0.3*4187.736))
Evaluating ... ...
t = 0.460000016196361
STEP 3: Convert Result to Output's Unit
0.460000016196361 Meter -->460.000016196361 Millimeter (Check conversion here)
FINAL ANSWER
460.000016196361 460 Millimeter <-- Thickness of Section
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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6 Quarter Elliptical Springs Calculators

Thickness given Maximum Bending Stress in Quarter Elliptical Spring
Go Thickness of Section = sqrt((6*Spring Load*Length in Spring)/(Number of Plates*Width of Cross Section*Maximum Bending Stress in Elliptical Spring))
Length given Maximum Bending Stress in Quarter Elliptical Spring
Go Length in Spring = (Maximum Bending Stress in Elliptical Spring*Number of Plates*Width of Cross Section*Thickness of Section ^2)/(6*Spring Load)
Number of Plates given Maximum Bending Stress in Quarter Elliptical Spring
Go Number of Plates = (6*Spring Load*Length in Spring)/(Maximum Bending Stress in Elliptical Spring*Width of Cross Section*Thickness of Section^2)
Width given Maximum Bending Stress in Quarter Elliptical Spring
Go Width of Cross Section = (6*Spring Load*Length in Spring)/(Number of Plates*Maximum Bending Stress in Elliptical Spring*Thickness of Section^2)
Load given Maximum Bending Stress in Quarter Elliptical Spring
Go Spring Load = (Maximum Bending Stress in Elliptical Spring*Number of Plates*Width of Cross Section*Thickness of Section^2)/(6*Length in Spring)
Maximum Bending Stress in Quarter Elliptical Spring
Go Maximum Bending Stress in Elliptical Spring = (6*Spring Load*Length in Spring)/(Number of Plates*Width of Cross Section*Thickness of Section^2)

Thickness given Maximum Bending Stress in Quarter Elliptical Spring Formula

Thickness of Section = sqrt((6*Spring Load*Length in Spring)/(Number of Plates*Width of Cross Section*Maximum Bending Stress in Elliptical Spring))
t = sqrt((6*Wload*L)/(n*b*felliptical spring))

What is Quarter Elliptical Spring?

This is an older type of spring with a similar structure to that of a normal leaf spring, only different being that it is half.

How to Calculate Thickness given Maximum Bending Stress in Quarter Elliptical Spring?

Thickness given Maximum Bending Stress in Quarter Elliptical Spring calculator uses Thickness of Section = sqrt((6*Spring Load*Length in Spring)/(Number of Plates*Width of Cross Section*Maximum Bending Stress in Elliptical Spring)) to calculate the Thickness of Section, The Thickness given Maximum Bending Stress in Quarter Elliptical Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly. Thickness of Section is denoted by t symbol.

How to calculate Thickness given Maximum Bending Stress in Quarter Elliptical Spring using this online calculator? To use this online calculator for Thickness given Maximum Bending Stress in Quarter Elliptical Spring, enter Spring Load (Wload), Length in Spring (L), Number of Plates (n), Width of Cross Section (b) & Maximum Bending Stress in Elliptical Spring (felliptical spring) and hit the calculate button. Here is how the Thickness given Maximum Bending Stress in Quarter Elliptical Spring calculation can be explained with given input values -> 462171.9 = sqrt((6*85*4.17)/(8*0.3*4187.736)).

FAQ

What is Thickness given Maximum Bending Stress in Quarter Elliptical Spring?
The Thickness given Maximum Bending Stress in Quarter Elliptical Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly and is represented as t = sqrt((6*Wload*L)/(n*b*felliptical spring)) or Thickness of Section = sqrt((6*Spring Load*Length in Spring)/(Number of Plates*Width of Cross Section*Maximum Bending Stress in Elliptical Spring)). 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, 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 & Maximum Bending Stress in Elliptical Spring is the maximum normal stress that is induced at a point in a body subjected to loads that cause it to bend.
How to calculate Thickness given Maximum Bending Stress in Quarter Elliptical Spring?
The Thickness given Maximum Bending Stress in Quarter Elliptical Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly is calculated using Thickness of Section = sqrt((6*Spring Load*Length in Spring)/(Number of Plates*Width of Cross Section*Maximum Bending Stress in Elliptical Spring)). To calculate Thickness given Maximum Bending Stress in Quarter Elliptical Spring, you need Spring Load (Wload), Length in Spring (L), Number of Plates (n), Width of Cross Section (b) & Maximum Bending Stress in Elliptical Spring (felliptical spring). With our tool, you need to enter the respective value for Spring Load, Length in Spring, Number of Plates, Width of Cross Section & Maximum Bending Stress in Elliptical 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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