Width of Strip given Angle of Rotation of Arbor with Respect to Drum 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%
✖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%
✖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 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%

✖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 given Angle of Rotation of Arbor with Respect to Drum [b]

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Width of Strip given Angle of Rotation of Arbor with Respect to Drum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Angle of Rotation of Arbor*(Thickness of Strip of Spring^3))
b = 12*M*l/(E*θ*(t^3))
This formula uses 6 Variables

Variables Used

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.
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.
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.
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.
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)
Modulus of elasticity of spiral spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (Check conversion here)
Angle of Rotation of Arbor: 18.84 Radian --> 18.84 Radian No Conversion Required
Thickness of Strip of Spring: 1.25 Millimeter --> 0.00125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = 12*M*l/(E*θ*(t^3)) --> 12*1.2*5.98/(207000000000*18.84*(0.00125^3))

Evaluating ... ...

b = 0.0113053078556263

STEP 3: Convert Result to Output's Unit

0.0113053078556263 Meter -->11.3053078556263 Millimeter (Check conversion here)

FINAL ANSWER

11.3053078556263 ≈ 11.30531 Millimeter <-- Width of Strip of Spiral Spring

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Width of Strip Calculators

Width of Strip given Deflection of one End of Spring with Respect to Other End

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

Width of Strip given Deflection of one End of Spring

Width of Strip given Angle of Rotation of Arbor with Respect to Drum

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

Width of Strip given Bending Stress induced at uuter end of Spring

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

Width of Strip given Angle of Rotation of Arbor with Respect to Drum 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 Width of Strip given Angle of Rotation of Arbor with Respect to Drum?

Width of Strip given Angle of Rotation of Arbor with Respect to Drum calculator uses Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Angle of Rotation of Arbor*(Thickness of Strip of Spring^3)) to calculate the Width of Strip of Spiral Spring, Width of Strip given Angle of Rotation of Arbor with Respect to Drum formula is defined as the measure of the strip's width in a spiral spring, which is influenced by the angle of rotation of the arbor with respect to the drum, and is critical in determining the spring's overall dimensions and performance. Width of Strip of Spiral Spring is denoted by b symbol.

How to calculate Width of Strip given Angle of Rotation of Arbor with Respect to Drum using this online calculator? To use this online calculator for Width of Strip given Angle of Rotation of Arbor with Respect to Drum, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Modulus of elasticity of spiral spring (E), Angle of Rotation of Arbor (θ) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Width of Strip given Angle of Rotation of Arbor with Respect to Drum calculation can be explained with given input values -> 11305.31 = 12*1.2*5.98/(207000000000*18.84*(0.00125^3)).

FAQ

What is Width of Strip given Angle of Rotation of Arbor with Respect to Drum?

Width of Strip given Angle of Rotation of Arbor with Respect to Drum formula is defined as the measure of the strip's width in a spiral spring, which is influenced by the angle of rotation of the arbor with respect to the drum, and is critical in determining the spring's overall dimensions and performance and is represented as b = 12*M*l/(E*θ*(t^3)) or Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Angle of Rotation of Arbor*(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, 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, Angle of Rotation of Arbor is defined as how many degrees the arbor is rotated with respect to the drum line & 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 Width of Strip given Angle of Rotation of Arbor with Respect to Drum?

Width of Strip given Angle of Rotation of Arbor with Respect to Drum formula is defined as the measure of the strip's width in a spiral spring, which is influenced by the angle of rotation of the arbor with respect to the drum, and is critical in determining the spring's overall dimensions and performance is calculated using Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Angle of Rotation of Arbor*(Thickness of Strip of Spring^3)). To calculate Width of Strip given Angle of Rotation of Arbor with Respect to Drum, you need Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Modulus of elasticity of spiral spring (E), Angle of Rotation of Arbor (θ) & 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, Modulus of elasticity of spiral spring, Angle of Rotation of Arbor & 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 Width of Strip of Spiral Spring?

In this formula, Width of Strip of Spiral Spring uses Bending moment in spiral spring, Length of Strip of Spiral Spring, Modulus of elasticity of spiral spring, Angle of Rotation of Arbor & Thickness of Strip of Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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