Load given Deflection in Leaf Spring Calculator

✖Deflection of Leaf Spring is how a spring responds when force is applied or released.ⓘ Deflection of Leaf Spring [δ_Leaf]			+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%
✖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%
✖Thickness of Section is the dimension through an object, as opposed to length or width.ⓘ Thickness of Section [t]			+10% -10%
✖Length in Spring is the measurement or extent of something from end to end.ⓘ Length in Spring [L]			+10% -10%

✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Load given Deflection in Leaf Spring [W_load]

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Load given Deflection in Leaf Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3)
W_load = (8*δ_Leaf*E*n*b*t^3)/(3*L^3)
This formula uses 7 Variables

Variables Used

Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.
Deflection of Leaf Spring - (Measured in Meter) - Deflection of Leaf Spring is how a spring responds when force is applied or released.
Young's Modulus - (Measured in Megapascal) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
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.
Thickness of Section - (Measured in Meter) - Thickness of Section is the dimension through an object, as opposed to length or width.
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

Deflection of Leaf Spring: 494 Millimeter --> 0.494 Meter (Check conversion here)
Young's Modulus: 20000 Megapascal --> 20000 Megapascal No Conversion Required
Number of Plates: 8 --> No Conversion Required
Width of Cross Section: 300 Millimeter --> 0.3 Meter (Check conversion here)
Thickness of Section: 460 Millimeter --> 0.46 Meter (Check conversion here)
Length in Spring: 4170 Millimeter --> 4.17 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_load = (8*δ_Leaf*E*n*b*t^3)/(3*L^3) --> (8*0.494*20000*8*0.3*0.46^3)/(3*4.17^3)

Evaluating ... ...

W_load = 84.8793897890676

STEP 3: Convert Result to Output's Unit

84.8793897890676 Newton --> No Conversion Required

FINAL ANSWER

84.8793897890676 ≈ 84.87939 Newton <-- Spring Load

(Calculation completed in 00.008 seconds)

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Home » Engineering » Civil » Strength of Materials » Spring » Deflection in Spring » Spring of Square Section Wire » Leaf Springs » For Centrally Loaded Beam » Load given Deflection in Leaf Spring

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< For Centrally Loaded Beam Calculators

Modulus of Elasticity in Leaf Spring given Deflection

LaTeX Go Young's Modulus = (3*Spring Load*Length in Spring^3)/(8*Deflection of Leaf Spring*Number of Plates*Width of Cross Section*Thickness of Section^3)

Number of plates given Deflection in Leaf Spring

LaTeX Go Number of Plates = (3*Spring Load*Length in Spring^3)/(8*Deflection of Leaf Spring*Young's Modulus*Width of Cross Section*Thickness of Section^3)

Deflection in Leaf Spring given Load

LaTeX Go Deflection of Leaf Spring = (3*Spring Load*Length in Spring^3)/(8*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)

Load given Deflection in Leaf Spring

LaTeX Go Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3)

Load given Deflection in Leaf Spring Formula

LaTeX Go

Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3)
W_load = (8*δ_Leaf*E*n*b*t^3)/(3*L^3)

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 Load given Deflection in Leaf Spring?

Load given Deflection in Leaf Spring calculator uses Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3) to calculate the Spring Load, The Load given Deflection in Leaf Spring formula is defined as the force acting at the centroid of the spring that causes the deflection given. Spring Load is denoted by W_load symbol.

How to calculate Load given Deflection in Leaf Spring using this online calculator? To use this online calculator for Load given Deflection in Leaf Spring, enter Deflection of Leaf Spring (δ_Leaf), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t) & Length in Spring (L) and hit the calculate button. Here is how the Load given Deflection in Leaf Spring calculation can be explained with given input values -> 0.58419 = (8*0.494*20000000000*8*0.3*0.46^3)/(3*4.17^3).

FAQ

What is Load given Deflection in Leaf Spring?

The Load given Deflection in Leaf Spring formula is defined as the force acting at the centroid of the spring that causes the deflection given and is represented as W_load = (8*δ_Leaf*E*n*b*t^3)/(3*L^3) or Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3). Deflection of Leaf Spring is how a spring responds when force is applied or released, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, 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, Thickness of Section is the dimension through an object, as opposed to length or width & Length in Spring is the measurement or extent of something from end to end.

How to calculate Load given Deflection in Leaf Spring?

The Load given Deflection in Leaf Spring formula is defined as the force acting at the centroid of the spring that causes the deflection given is calculated using Spring Load = (8*Deflection of Leaf Spring*Young's Modulus*Number of Plates*Width of Cross Section*Thickness of Section^3)/(3*Length in Spring^3). To calculate Load given Deflection in Leaf Spring, you need Deflection of Leaf Spring (δ_Leaf), Young's Modulus (E), Number of Plates (n), Width of Cross Section (b), Thickness of Section (t) & Length in Spring (L). With our tool, you need to enter the respective value for Deflection of Leaf Spring, Young's Modulus, Number of Plates, Width of Cross Section, Thickness of Section & 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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