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

✖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 in Spring [L]			+10% -10%
✖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 given Maximum Bending Stress at Proof Load of Leaf Spring [δ]

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

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Spring = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Young's Modulus)
δ = (f_{proof load}*L^2)/(4*t*E)
This formula uses 5 Variables

Variables Used

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.
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.

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)
Young's Modulus: 20000 Megapascal --> 20000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (f_{proof load}*L^2)/(4*t*E) --> (7200000*4.17^2)/(4*0.46*20000000000)

Evaluating ... ...

δ = 0.00340217608695652

STEP 3: Convert Result to Output's Unit

0.00340217608695652 Meter -->3.40217608695652 Millimeter (Check conversion here)

FINAL ANSWER

3.40217608695652 ≈ 3.402176 Millimeter <-- Deflection of 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 » Deflection 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

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

LaTeX Go

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

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

Deflection given Maximum Bending Stress at Proof Load of Leaf Spring calculator uses Deflection of Spring = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Young's Modulus) to calculate the Deflection of Spring, The Deflection given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as the maximum distance moved by fibre from the neutral axis when the spring is loaded. Deflection of Spring is denoted by δ symbol.

How to calculate Deflection given Maximum Bending Stress at Proof Load of Leaf Spring using this online calculator? To use this online calculator for Deflection given Maximum Bending Stress at Proof Load of Leaf Spring, enter Maximum Bending Stress at Proof Load (f_{proof load}), Length in Spring (L), Thickness of Section (t) & Young's Modulus (E) and hit the calculate button. Here is how the Deflection given Maximum Bending Stress at Proof Load of Leaf Spring calculation can be explained with given input values -> 3392.584 = (7200000*4.17^2)/(4*0.46*20000000000).

FAQ

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

The Deflection given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as the maximum distance moved by fibre from the neutral axis when the spring is loaded and is represented as δ = (f_{proof load}*L^2)/(4*t*E) or Deflection of Spring = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Young's Modulus). 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 & Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

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

The Deflection given Maximum Bending Stress at Proof Load of Leaf Spring formula is defined as the maximum distance moved by fibre from the neutral axis when the spring is loaded is calculated using Deflection of Spring = (Maximum Bending Stress at Proof Load*Length in Spring^2)/(4*Thickness of Section*Young's Modulus). To calculate Deflection given Maximum Bending Stress at Proof Load of Leaf Spring, you need Maximum Bending Stress at Proof Load (f_{proof load}), Length in Spring (L), Thickness of Section (t) & Young's Modulus (E). With our tool, you need to enter the respective value for Maximum Bending Stress at Proof Load, Length in Spring, Thickness of Section & Young's Modulus 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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