Thickness given Maximum Bending Stress of Leaf Spring Calculator

✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Spring Load [W_load]			+10% -10%
✖Length in Spring is the measurement or extent of something from end to end.ⓘ Length in Spring [L]			+10% -10%
✖Number of Plates is the count of plates in the leaf spring.ⓘ Number of Plates [n]			+10% -10%
✖Width of Cross Section is the geometric measurement or extent of the member from side to side.ⓘ Width of Cross Section [b]			+10% -10%
✖Maximum Bending Stress in Leaf Spring is the maximum normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Maximum Bending Stress in Leaf Spring [f_{leaf spring}]			+10% -10%

✖Thickness of Section is the dimension through an object, as opposed to length or width.ⓘ Thickness given Maximum Bending Stress of Leaf Spring [t]

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Thickness given Maximum Bending Stress of Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Section = sqrt((3*Spring Load*Length in Spring)/(2*Number of Plates*Width of Cross Section*Maximum Bending Stress in Leaf Spring))
t = sqrt((3*W_load*L)/(2*n*b*f_{leaf 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 Leaf Spring - (Measured in Pascal) - Maximum Bending Stress in Leaf 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 Leaf Spring: 1047 Pascal --> 1047 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = sqrt((3*W_load*L)/(2*n*b*f_{leaf spring})) --> sqrt((3*85*4.17)/(2*8*0.3*1047))

Evaluating ... ...

t = 0.459985517400021

STEP 3: Convert Result to Output's Unit

0.459985517400021 Meter -->459.985517400021 Millimeter (Check conversion here)

FINAL ANSWER

459.985517400021 ≈ 459.9855 Millimeter <-- Thickness of Section

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Leaf Springs Calculators

Number of Plates given Maximum Bending Stress of Leaf Spring

LaTeX Go Number of Plates = (3*Spring Load*Length in Spring)/(2*Maximum Bending Stress in Leaf Spring*Width of Cross Section*Thickness of Section^2)

Length given Maximum Bending Stress of Leaf Spring

LaTeX Go Length in Spring = (2*Maximum Bending Stress in Leaf Spring*Number of Plates*Width of Cross Section*Thickness of Section^2)/(3*Spring Load)

Load given Maximum Bending Stress of Leaf Spring

LaTeX Go Spring Load = (2*Maximum Bending Stress in Leaf Spring*Number of Plates*Width of Cross Section*Thickness of Section^2)/(3*Length in Spring)

Maximum Bending Stress of Leaf Spring

LaTeX Go Maximum Bending Stress in Leaf Spring = (3*Spring Load*Length in Spring)/(2*Number of Plates*Width of Cross Section*Thickness of Section^2)

Thickness given Maximum Bending Stress of Leaf Spring Formula

LaTeX Go

Thickness of Section = sqrt((3*Spring Load*Length in Spring)/(2*Number of Plates*Width of Cross Section*Maximum Bending Stress in Leaf Spring))
t = sqrt((3*W_load*L)/(2*n*b*f_{leaf spring}))

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 Thickness given Maximum Bending Stress of Leaf Spring?

Thickness given Maximum Bending Stress of Leaf Spring calculator uses Thickness of Section = sqrt((3*Spring Load*Length in Spring)/(2*Number of Plates*Width of Cross Section*Maximum Bending Stress in Leaf Spring)) to calculate the Thickness of Section, The Thickness given Maximum Bending Stress of Leaf 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 of Leaf Spring using this online calculator? To use this online calculator for Thickness given Maximum Bending Stress of Leaf Spring, enter Spring Load (W_load), Length in Spring (L), Number of Plates (n), Width of Cross Section (b) & Maximum Bending Stress in Leaf Spring (f_{leaf spring}) and hit the calculate button. Here is how the Thickness given Maximum Bending Stress of Leaf Spring calculation can be explained with given input values -> 459985.5 = sqrt((3*85*4.17)/(2*8*0.3*1047)).

FAQ

What is Thickness given Maximum Bending Stress of Leaf Spring?

The Thickness given Maximum Bending Stress of Leaf Spring formula is defined as the thickness of the cross-section of one plate of the spring assembly and is represented as t = sqrt((3*W_load*L)/(2*n*b*f_{leaf spring})) or Thickness of Section = sqrt((3*Spring Load*Length in Spring)/(2*Number of Plates*Width of Cross Section*Maximum Bending Stress in Leaf 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 Leaf 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 of Leaf Spring?

The Thickness given Maximum Bending Stress of Leaf 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((3*Spring Load*Length in Spring)/(2*Number of Plates*Width of Cross Section*Maximum Bending Stress in Leaf Spring)). To calculate Thickness given Maximum Bending Stress of Leaf Spring, you need Spring Load (W_load), Length in Spring (L), Number of Plates (n), Width of Cross Section (b) & Maximum Bending Stress in Leaf Spring (f_{leaf 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 Leaf 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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