Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End Calculator

✖Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending moment in spiral spring [M]			+10% -10%
✖Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.ⓘ Length of Strip of Spiral Spring [l]			+10% -10%
✖The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.ⓘ Distance of CG of Spiral Spring [r]			+10% -10%
✖Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.ⓘ Deflection of Spiral Spring [δ]			+10% -10%
✖The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured.ⓘ Width of Strip of Spiral Spring [b]			+10% -10%
✖The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.ⓘ Thickness of Strip of Spring [t]			+10% -10%

✖Modulus of elasticity of spiral spring is a quantity that measures the spring's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End [E]

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Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)
E = 12*M*l*r/(δ*b*t^3)
This formula uses 7 Variables

Variables Used

Modulus of elasticity of spiral spring - (Measured in Pascal) - Modulus of elasticity of spiral spring is a quantity that measures the spring's resistance to being deformed elastically when stress is applied to it.
Bending moment in spiral spring - (Measured in Newton Meter) - Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend.
Length of Strip of Spiral Spring - (Measured in Meter) - Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.
Distance of CG of Spiral Spring - (Measured in Meter) - The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.
Deflection of Spiral Spring - (Measured in Meter) - Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.
Width of Strip of Spiral Spring - (Measured in Meter) - The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured.
Thickness of Strip of Spring - (Measured in Meter) - The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.

STEP 1: Convert Input(s) to Base Unit

Bending moment in spiral spring: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)
Length of Strip of Spiral Spring: 5980 Millimeter --> 5.98 Meter (Check conversion here)
Distance of CG of Spiral Spring: 55 Millimeter --> 0.055 Meter (Check conversion here)
Deflection of Spiral Spring: 1018 Millimeter --> 1.018 Meter (Check conversion here)
Width of Strip of Spiral Spring: 11.52 Millimeter --> 0.01152 Meter (Check conversion here)
Thickness of Strip of Spring: 1.25 Millimeter --> 0.00125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = 12*M*l*r/(δ*b*t^3) --> 12*1.2*5.98*0.055/(1.018*0.01152*0.00125^3)

Evaluating ... ...

E = 206774066797.642

STEP 3: Convert Result to Output's Unit

206774066797.642 Pascal -->206774.066797642 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

206774.066797642 ≈ 206774.1 Newton per Square Millimeter <-- Modulus of elasticity of spiral spring

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Spring Material Mechanics Calculators

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor

LaTeX Go Length of Strip of Spiral Spring = Angle of Rotation of Arbor*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3)/(12*Bending moment in spiral spring)

Modulus of Elasticity given Angle of Rotation of Arbor

LaTeX Go Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Angle of Rotation of Arbor*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3))

Angle of Rotation of Arbor with Respect to Drum

LaTeX Go Angle of Rotation of Arbor = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3))

Maximum Bending Stress induced at outer end of Spring

LaTeX Go Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2)

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End Formula

LaTeX Go

Define Modulus of Elasticity?

The mechanical property of a material to withstand the compression or the elongation with respect to its length. Young’s modulus describes the relationship between stress (force per unit area) and strain (proportional deformation in an object. The Young’s modulus is named after the British scientist Thomas Young. A solid object deforms when a particular load is applied to it. If the object is elastic, the body regains its original shape when the pressure is removed.

How to Calculate Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End?

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End calculator uses Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3) to calculate the Modulus of elasticity of spiral spring, Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain, and is used to describe the spring's ability to resist deformation under an applied load in spiral springs. Modulus of elasticity of spiral spring is denoted by E symbol.

How to calculate Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End using this online calculator? To use this online calculator for Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Distance of CG of Spiral Spring (r), Deflection of Spiral Spring (δ), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End calculation can be explained with given input values -> 0.206774 = 12*1.2*5.98*0.055/(1.018*0.01152*0.00125^3).

FAQ

What is Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End?

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain, and is used to describe the spring's ability to resist deformation under an applied load in spiral springs and is represented as E = 12*M*l*r/(δ*b*t^3) or Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3). Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend, Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured, The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral, Deflection of Spiral Spring is the deflection of one end of spring with respect to the other, The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured & The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.

How to calculate Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End?

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain, and is used to describe the spring's ability to resist deformation under an applied load in spiral springs is calculated using Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3). To calculate Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End, you need Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Distance of CG of Spiral Spring (r), Deflection of Spiral Spring (δ), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t). With our tool, you need to enter the respective value for Bending moment in spiral spring, Length of Strip of Spiral Spring, Distance of CG of Spiral Spring, Deflection of Spiral Spring, Width of Strip of Spiral Spring & Thickness of Strip of Spring 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 of spiral spring?

In this formula, Modulus of elasticity of spiral spring uses Bending moment in spiral spring, Length of Strip of Spiral Spring, Distance of CG of Spiral Spring, Deflection of Spiral Spring, Width of Strip of Spiral Spring & Thickness of Strip of Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Angle of Rotation of Arbor*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3))
Modulus of elasticity of spiral spring = (6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring)/(Strain energy in spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)

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