Length given Maximum Bending Stress at Proof Load of Leaf Spring Calculator

✖Thickness of Section is the dimension through an object, as opposed to length or width.ⓘ Thickness of Section [t]			+10% -10%
✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖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.ⓘ Maximum Bending Stress at Proof Load [f_{proof load}]			+10% -10%

✖Length in Spring is the measurement or extent of something from end to end.ⓘ Length given Maximum Bending Stress at Proof Load of Leaf Spring [L]

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Length given Maximum Bending Stress at Proof Load of Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load)
L = sqrt((4*t*E*δ)/f_{proof load})
This formula uses 1 Functions, 5 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

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.
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.
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.

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)
Maximum Bending Stress at Proof Load: 7.2 Megapascal --> 7200000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt((4*t*E*δ)/f_{proof load}) --> sqrt((4*0.46*20000000000*0.0034)/7200000)

Evaluating ... ...

L = 4.16866618689693

STEP 3: Convert Result to Output's Unit

4.16866618689693 Meter -->4168.66618689693 Millimeter (Check conversion here)

FINAL ANSWER

4168.66618689693 ≈ 4168.666 Millimeter <-- Length in Spring

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Strength of Materials » Spring » Maximum Bending Stress in Spring » At Proof Load » Length given Maximum Bending Stress at Proof Load of Leaf Spring

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< At Proof Load Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

Length given Maximum Bending Stress at Proof Load of Leaf Spring Formula

LaTeX Go

Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load)
L = sqrt((4*t*E*δ)/f_{proof load})

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 Length given Maximum Bending Stress at Proof Load of Leaf Spring?

Length given Maximum Bending Stress at Proof Load of Leaf Spring calculator uses Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load) to calculate the Length in Spring, The Length given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as end-to-end distance of spring. Length in Spring is denoted by L symbol.

How to calculate Length given Maximum Bending Stress at Proof Load of Leaf Spring using this online calculator? To use this online calculator for Length given Maximum Bending Stress at Proof Load of Leaf Spring, enter Thickness of Section (t), Young's Modulus (E), Deflection of Spring (δ) & Maximum Bending Stress at Proof Load (f_{proof load}) and hit the calculate button. Here is how the Length given Maximum Bending Stress at Proof Load of Leaf Spring calculation can be explained with given input values -> 4.2E+6 = sqrt((4*0.46*20000000000*0.0034)/7200000).

FAQ

What is Length given Maximum Bending Stress at Proof Load of Leaf Spring?

The Length given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as end-to-end distance of spring and is represented as L = sqrt((4*t*E*δ)/f_{proof load}) or Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load). 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 & 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.

How to calculate Length given Maximum Bending Stress at Proof Load of Leaf Spring?

The Length given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as end-to-end distance of spring is calculated using Length in Spring = sqrt((4*Thickness of Section*Young's Modulus*Deflection of Spring)/Maximum Bending Stress at Proof Load). To calculate Length given Maximum Bending Stress at Proof Load of Leaf Spring, you need Thickness of Section (t), Young's Modulus (E), Deflection of Spring (δ) & Maximum Bending Stress at Proof Load (f_{proof load}). With our tool, you need to enter the respective value for Thickness of Section, Young's Modulus, Deflection of Spring & Maximum Bending Stress at Proof Load 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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