Modulus of Elasticity given Angle of Rotation of Arbor 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%
✖Angle of Rotation of Arbor is defined as how many degrees the arbor is rotated with respect to the drum line.ⓘ Angle of Rotation of Arbor [θ]			+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 Angle of Rotation of Arbor [E]

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Modulus of Elasticity given Angle of Rotation of Arbor 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/(Angle of Rotation of Arbor*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3))
E = 12*M*l/(θ*b*(t^3))
This formula uses 6 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.
Angle of Rotation of Arbor - (Measured in Radian) - Angle of Rotation of Arbor is defined as how many degrees the arbor is rotated with respect to the drum line.
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)
Angle of Rotation of Arbor: 18.84 Radian --> 18.84 Radian No Conversion Required
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/(θ*b*(t^3)) --> 12*1.2*5.98/(18.84*0.01152*(0.00125^3))

Evaluating ... ...

E = 203142250530.786

STEP 3: Convert Result to Output's Unit

203142250530.786 Pascal -->203142.250530786 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

203142.250530786 ≈ 203142.3 Newton per Square Millimeter <-- Modulus of elasticity of spiral spring

(Calculation completed in 00.020 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 Angle of Rotation of Arbor 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.

How to Calculate Modulus of Elasticity given Angle of Rotation of Arbor?

Modulus of Elasticity given Angle of Rotation of Arbor calculator uses 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)) to calculate the Modulus of elasticity of spiral spring, Modulus of Elasticity given Angle of Rotation of Arbor formula is defined as a measure of the stiffness of a material, which is essential in designing and analyzing spiral springs, as it determines the spring's ability to resist deformation under various loads and stresses. Modulus of elasticity of spiral spring is denoted by E symbol.

How to calculate Modulus of Elasticity given Angle of Rotation of Arbor using this online calculator? To use this online calculator for Modulus of Elasticity given Angle of Rotation of Arbor, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Angle of Rotation of Arbor (θ), 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 Angle of Rotation of Arbor calculation can be explained with given input values -> 0.203142 = 12*1.2*5.98/(18.84*0.01152*(0.00125^3)).

FAQ

What is Modulus of Elasticity given Angle of Rotation of Arbor?

Modulus of Elasticity given Angle of Rotation of Arbor formula is defined as a measure of the stiffness of a material, which is essential in designing and analyzing spiral springs, as it determines the spring's ability to resist deformation under various loads and stresses and is represented as E = 12*M*l/(θ*b*(t^3)) or 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)). 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, Angle of Rotation of Arbor is defined as how many degrees the arbor is rotated with respect to the drum line, 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 Angle of Rotation of Arbor?

Modulus of Elasticity given Angle of Rotation of Arbor formula is defined as a measure of the stiffness of a material, which is essential in designing and analyzing spiral springs, as it determines the spring's ability to resist deformation under various loads and stresses is calculated using 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)). To calculate Modulus of Elasticity given Angle of Rotation of Arbor, you need Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Angle of Rotation of Arbor (θ), 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, Angle of Rotation of Arbor, 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, Angle of Rotation of Arbor, 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*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*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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