Modulus of Elasticity given Central Deflection of Leaf Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate)
E = (σ*l^2)/(4*δ*tp)
This formula uses 5 Variables
Variables Used
Modulus of Elasticity Leaf Spring - (Measured in Pascal) - Modulus of Elasticity Leaf spring is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Maximum Bending Stress in Plates - (Measured in Pascal) - Maximum bending stress in plates is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Span of Spring - (Measured in Meter) - Span of spring is basically the expanded length of spring.
Deflection of Centre of Leaf Spring - (Measured in Meter) - Deflection of centre of leaf spring is a numerical measurement of how far apart objects or points are.
Thickness of Plate - (Measured in Meter) - The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.
STEP 1: Convert Input(s) to Base Unit
Maximum Bending Stress in Plates: 15 Megapascal --> 15000000 Pascal (Check conversion here)
Span of Spring: 6 Millimeter --> 0.006 Meter (Check conversion here)
Deflection of Centre of Leaf Spring: 4 Millimeter --> 0.004 Meter (Check conversion here)
Thickness of Plate: 1.2 Millimeter --> 0.0012 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = (σ*l^2)/(4*δ*tp) --> (15000000*0.006^2)/(4*0.004*0.0012)
Evaluating ... ...
E = 28125000
STEP 3: Convert Result to Output's Unit
28125000 Pascal -->28.125 Megapascal (Check conversion here)
FINAL ANSWER
28.125 Megapascal <-- Modulus of Elasticity Leaf Spring
(Calculation completed in 00.004 seconds)

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17 Torsion of Leaf Spring Calculators

Point Load Acting at Center of Spring given Maximum Bending Stress Developed in Plates
Go Point Load at Center of Spring = (2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2*Maximum Bending Stress in Plates)/(3*Span of Spring)
Maximum Bending Stress Developed in Plates given Point Load at Center
Go Maximum Bending Stress in Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Number of Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)
Number of Plates given Maximum Bending Stress Developed in Plates
Go Number of Plates = (3*Point Load at Center of Spring*Span of Spring)/(2*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)
Maximum Bending Stress Developed given Central Deflection of Leaf Spring
Go Maximum Bending Stress in Plates = (4*Modulus of Elasticity Leaf Spring*Thickness of Plate*Deflection of Centre of Leaf Spring)/(Span of Spring^2)
Central Deflection of Leaf Spring for given Modulus of Elasticity
Go Deflection of Centre of Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Modulus of Elasticity Leaf Spring*Thickness of Plate)
Modulus of Elasticity given Central Deflection of Leaf Spring
Go Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate)
Number of Plates in Leaf Spring given Total Resisting Moment by n Plates
Go Number of Plates = (6*Bending Moment in Spring)/(Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)
Total Resisting Moment by n Plates
Go Total Resisting Moments = (Number of Plates*Maximum Bending Stress in Plates*Width of Full Size Bearing Plate*Thickness of Plate^2)/6
Maximum Bending Stress Developed given Radius of Plate to which they are Bent
Go Maximum Bending Stress in Plates = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Radius of Plate)
Modulus of Elasticity given Radius of Plate to which they are Bent
Go Modulus of Elasticity Leaf Spring = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Thickness of Plate)
Radius of Plate to which they are Bent
Go Radius of Plate = (Modulus of Elasticity Leaf Spring*Thickness of Plate)/(2*Maximum Bending Stress in Plates)
Point Load at Center of Spring Load given Bending Moment at Center of Leaf Spring
Go Point Load at Center of Spring = (4*Bending Moment in Spring)/(Span of Spring)
Moment of Inertia of each Leaf Spring Plate
Go Moment of Inertia = (Width of Full Size Bearing Plate*Thickness of Plate^3)/12
Radius of Plate to which they are Bent given Central Deflection of Leaf Spring
Go Radius of Plate = (Span of Spring^2)/(8*Deflection of Centre of Leaf Spring)
Central Deflection of Leaf Spring
Go Deflection of Centre of Leaf Spring = (Span of Spring^2)/(8*Radius of Plate)
Total Resisting Moment by n Plates given Bending Moment on each Plate
Go Total Resisting Moments = Number of Plates*Bending Moment in Spring
Load at One End given Bending Moment at Center of Leaf Spring
Go Load at One End = (2*Bending Moment in Spring)/Span of Spring

Modulus of Elasticity given Central Deflection of Leaf Spring Formula

Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate)
E = (σ*l^2)/(4*δ*tp)

What is bending stress in beam?

When a beam is subjected to external loads, shear forces and bending moments develop in the beam. The beam itself must develop internal resistance to resist shear forces and bending moments. The stresses caused by the bending moments are called bending stresses.

How to Calculate Modulus of Elasticity given Central Deflection of Leaf Spring?

Modulus of Elasticity given Central Deflection of Leaf Spring calculator uses Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate) to calculate the Modulus of Elasticity Leaf Spring, Modulus of elasticity given central deflection of leaf spring is defined as the measure of the stiffness of a material. In other words, it is a measure of how easily any material can be bend or stretch. Modulus of Elasticity Leaf Spring is denoted by E symbol.

How to calculate Modulus of Elasticity given Central Deflection of Leaf Spring using this online calculator? To use this online calculator for Modulus of Elasticity given Central Deflection of Leaf Spring, enter Maximum Bending Stress in Plates (σ), Span of Spring (l), Deflection of Centre of Leaf Spring (δ) & Thickness of Plate (tp) and hit the calculate button. Here is how the Modulus of Elasticity given Central Deflection of Leaf Spring calculation can be explained with given input values -> 9.6E-6 = (15000000*0.006^2)/(4*0.004*0.0012).

FAQ

What is Modulus of Elasticity given Central Deflection of Leaf Spring?
Modulus of elasticity given central deflection of leaf spring is defined as the measure of the stiffness of a material. In other words, it is a measure of how easily any material can be bend or stretch and is represented as E = (σ*l^2)/(4*δ*tp) or Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate). Maximum bending stress in plates is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend, Span of spring is basically the expanded length of spring, Deflection of centre of leaf spring is a numerical measurement of how far apart objects or points are & The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.
How to calculate Modulus of Elasticity given Central Deflection of Leaf Spring?
Modulus of elasticity given central deflection of leaf spring is defined as the measure of the stiffness of a material. In other words, it is a measure of how easily any material can be bend or stretch is calculated using Modulus of Elasticity Leaf Spring = (Maximum Bending Stress in Plates*Span of Spring^2)/(4*Deflection of Centre of Leaf Spring*Thickness of Plate). To calculate Modulus of Elasticity given Central Deflection of Leaf Spring, you need Maximum Bending Stress in Plates (σ), Span of Spring (l), Deflection of Centre of Leaf Spring (δ) & Thickness of Plate (tp). With our tool, you need to enter the respective value for Maximum Bending Stress in Plates, Span of Spring, Deflection of Centre of Leaf Spring & Thickness of Plate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Modulus of Elasticity Leaf Spring?
In this formula, Modulus of Elasticity Leaf Spring uses Maximum Bending Stress in Plates, Span of Spring, Deflection of Centre of Leaf Spring & Thickness of Plate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Modulus of Elasticity Leaf Spring = (2*Maximum Bending Stress in Plates*Radius of Plate)/(Thickness of Plate)
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