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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. Check FAQs
b=12MlEθ(t3)
b - Width of Strip of Spiral Spring?M - Bending moment in spiral spring?l - Length of Strip of Spiral Spring?E - Modulus of elasticity of spiral spring?θ - Angle of Rotation of Arbor?t - Thickness of Strip of Spring?

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

With values
With units
Only example

Here is how the Width of Strip given Angle of Rotation of Arbor with Respect to Drum equation looks like with Values.

Here is how the Width of Strip given Angle of Rotation of Arbor with Respect to Drum equation looks like with Units.

Here is how the Width of Strip given Angle of Rotation of Arbor with Respect to Drum equation looks like.

11.3053Edit=121200Edit5980Edit207000Edit18.84Edit(1.25Edit3)
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Width of Strip given Angle of Rotation of Arbor with Respect to Drum Solution

Follow our step by step solution on how to calculate Width of Strip given Angle of Rotation of Arbor with Respect to Drum?

FIRST Step Consider the formula
b=12MlEθ(t3)
Next Step Substitute values of Variables
b=121200N*mm5980mm207000N/mm²18.84rad(1.25mm3)
Next Step Convert Units
b=121.2N*m5.98m2.1E+11Pa18.84rad(0.0012m3)
Next Step Prepare to Evaluate
b=121.25.982.1E+1118.84(0.00123)
Next Step Evaluate
b=0.0113053078556263m
Next Step Convert to Output's Unit
b=11.3053078556263mm
LAST Step Rounding Answer
b=11.3053mm

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

Variables
Width of Strip of Spiral Spring
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.
Symbol: b
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Bending moment in spiral spring
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.
Symbol: M
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Length of Strip of Spiral Spring
Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.
Symbol: l
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Modulus of elasticity of spiral spring
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.
Symbol: E
Measurement: PressureUnit: N/mm²
Note: Value should be greater than 0.
Angle of Rotation of Arbor
Angle of Rotation of Arbor is defined as how many degrees the arbor is rotated with respect to the drum line.
Symbol: θ
Measurement: AngleUnit: rad
Note: Value should be greater than 0.
Thickness of Strip of Spring
The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.
Symbol: t
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Width of Strip of Spiral Spring

​Go Width of Strip given Bending Stress induced at uuter end of Spring
b=12Mσbt2
​Go Width of Strip given Deflection of one End of Spring
b=12MlrEδt3
​Go Width of Strip given Deflection of one End of Spring with Respect to Other End
b=12MlrEδt3
​Go Width of Strip given Strain Energy Stored in Spring
b=6(M2)lEUt3

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Width of Strip given Angle of Rotation of Arbor with Respect to Drum using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Width of Strip given Angle of Rotation of Arbor with Respect to Drum?
The formula of Width of Strip given Angle of Rotation of Arbor with Respect to Drum is expressed as 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)). Here is an example- 11305.31 = 12*1.2*5.98/(207000000000*18.84*(0.00125^3)).
How to calculate Width of Strip given Angle of Rotation of Arbor with Respect to Drum?
With 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) we can find Width of Strip given Angle of Rotation of Arbor with Respect to Drum using the formula - 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)).
What are the other ways to Calculate Width of Strip of Spiral Spring?
Here are the different ways to Calculate Width of Strip of Spiral Spring-
  • Width of Strip of Spiral Spring=12*Bending moment in spiral spring/(Bending Stress in Spiral Spring*Thickness of Strip of Spring^2)OpenImg
  • 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)OpenImg
  • 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)OpenImg
Can the Width of Strip given Angle of Rotation of Arbor with Respect to Drum be negative?
No, the Width of Strip given Angle of Rotation of Arbor with Respect to Drum, measured in Length cannot be negative.
Which unit is used to measure 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 is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Strip given Angle of Rotation of Arbor with Respect to Drum can be measured.
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