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

✖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%
✖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 of spiral spring [E]			+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%
✖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 from Outer end to inner End given Angle of Rotation of Arbor [l]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
l = θ*E*b*(t^3)/(12*M)
This formula uses 6 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle of Rotation of Arbor: 18.84 Radian --> 18.84 Radian No Conversion Required
Modulus of elasticity of spiral spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (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)
Bending moment in spiral spring: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = θ*E*b*(t^3)/(12*M) --> 18.84*207000000000*0.01152*(0.00125^3)/(12*1.2)

Evaluating ... ...

l = 6.0935625

STEP 3: Convert Result to Output's Unit

6.0935625 Meter -->6093.5625 Millimeter (Check conversion here)

FINAL ANSWER

6093.5625 ≈ 6093.563 Millimeter <-- Length of Strip 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)

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

LaTeX Go

Define Angle of Rotation?

The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle. A clockwise rotation is considered a negative rotation.

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

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor calculator uses 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) to calculate the Length of Strip of Spiral Spring, Length of Strip from Outer end to inner End given Angle of Rotation of Arbor formula is defined as a measure of the distance from the outer end to the inner end of a spiral spring, considering the angle of rotation of the arbor, which is critical in determining the spring's overall dimensions and functionality. Length of Strip of Spiral Spring is denoted by l symbol.

How to calculate Length of Strip from Outer end to inner End given Angle of Rotation of Arbor using this online calculator? To use this online calculator for Length of Strip from Outer end to inner End given Angle of Rotation of Arbor, enter Angle of Rotation of Arbor (θ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t) & Bending moment in spiral spring (M) and hit the calculate button. Here is how the Length of Strip from Outer end to inner End given Angle of Rotation of Arbor calculation can be explained with given input values -> 6.1E+6 = 18.84*207000000000*0.01152*(0.00125^3)/(12*1.2).

FAQ

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

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor formula is defined as a measure of the distance from the outer end to the inner end of a spiral spring, considering the angle of rotation of the arbor, which is critical in determining the spring's overall dimensions and functionality and is represented as l = θ*E*b*(t^3)/(12*M) or 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). Angle of Rotation of Arbor is defined as how many degrees the arbor is rotated with respect to the drum line, 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, 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 & 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.

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

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor formula is defined as a measure of the distance from the outer end to the inner end of a spiral spring, considering the angle of rotation of the arbor, which is critical in determining the spring's overall dimensions and functionality is calculated using 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). To calculate Length of Strip from Outer end to inner End given Angle of Rotation of Arbor, you need Angle of Rotation of Arbor (θ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t) & Bending moment in spiral spring (M). With our tool, you need to enter the respective value for Angle of Rotation of Arbor, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring, Thickness of Strip of Spring & Bending moment in spiral 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 Length of Strip of Spiral Spring?

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

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

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