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Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula

GoThickness of Strip given Bending Stress induced at outer end of Spring Formula

GoThickness of Strip given Deflection of one end of Spring with respect to other end Formula

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The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured. Check FAQs

t = {(12 \cdot M \cdot \frac{l}{E \cdot b \cdot θ})}^{\frac{1}{3}}

t - Thickness of Strip of Spring?M - Bending moment in spiral spring?l - Length of Strip of Spiral Spring?E - Modulus of elasticity of spiral spring?b - Width of Strip of Spiral Spring?θ - Angle of Rotation of Arbor?

Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Example

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

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

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

1.2422 = {(12 \cdot 1200 \cdot \frac{5980}{207000 \cdot 11.52 \cdot 18.84})}^{\frac{1}{3}}

1.2422mm = {(12 \cdot 1200N*mm \cdot \frac{5980mm}{207000N/mm² \cdot 11.52mm \cdot 18.84rad})}^{\frac{1}{3}}

1.2422 = {(12 \cdot 1200 \cdot \frac{5980}{207000 \cdot 11.52 \cdot 18.84})}^{\frac{1}{3}}

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Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Solution

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

FIRST Step Consider the formula

t = {(12 \cdot M \cdot \frac{l}{E \cdot b \cdot θ})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

t = {(12 \cdot 1200N*mm \cdot \frac{5980mm}{207000N/mm² \cdot 11.52mm \cdot 18.84rad})}^{\frac{1}{3}}

Next Step Convert Units

∴

t = {(12 \cdot 1.2N*m \cdot \frac{5.98m}{2.1E+11Pa \cdot 0.0115m \cdot 18.84rad})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

t = {(12 \cdot 1.2 \cdot \frac{5.98}{2.1E+11 \cdot 0.0115 \cdot 18.84})}^{\frac{1}{3}}

Next Step Evaluate

∴

t = 0.00124218605945399m

Next Step Convert to Output's Unit

∴

t = 1.24218605945399mm

LAST Step Rounding Answer

∴

t = 1.2422mm

Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula Elements

Variables

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.

Formulas to find Thickness of Strip of Spring

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.

Formulas to find Bending moment in spiral spring

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.

Formulas to find Length of Strip of Spiral Spring

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.

Formulas to find Modulus of elasticity of spiral spring

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.

Formulas to find Width of Strip of Spiral Spring

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.

Formulas to find Angle of Rotation of Arbor

Other Formulas to find Thickness of Strip of Spring

Go Thickness of Strip given Bending Stress induced at outer end of Spring

t = \sqrt{12 \cdot \frac{M}{b \cdot σ b}}

Go Thickness of Strip given Deflection of one end of Spring with respect to other end

t = {(\frac{12 \cdot M \cdot l \cdot r}{E \cdot b \cdot δ})}^{\frac{1}{3}}

Go Thickness of Strip given Strain Energy Stored in Strip

t = {(6 \cdot M^{2} \cdot \frac{l}{E \cdot b \cdot U})}^{\frac{1}{3}}

How to Evaluate Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum?

Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum evaluator uses Thickness of Strip of Spring = (12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of Rotation of Arbor))^(1/3) to evaluate the Thickness of Strip of Spring, Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum formula is defined as a measure of the strip's thickness in a spiral spring system, 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 performance and durability. Thickness of Strip of Spring is denoted by t symbol.

How to evaluate Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum using this online evaluator? To use this online evaluator for Thickness of Strip when 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), Width of Strip of Spiral Spring (b) & Angle of Rotation of Arbor (θ) and hit the calculate button.

FAQs on Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum

What is the formula to find Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum?

The formula of Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum is expressed as Thickness of Strip of Spring = (12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of Rotation of Arbor))^(1/3). Here is an example- 1242.186 = (12*1.2*5.98/(207000000000*0.01152*18.84))^(1/3).

How to calculate Thickness of Strip when 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), Width of Strip of Spiral Spring (b) & Angle of Rotation of Arbor (θ) we can find Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum using the formula - Thickness of Strip of Spring = (12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of Rotation of Arbor))^(1/3).

What are the other ways to Calculate Thickness of Strip of Spring?

Here are the different ways to Calculate Thickness of Strip of Spring-

Thickness of Strip of Spring=sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring))
Thickness of Strip of 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*Width of Strip of Spiral Spring*Deflection of Spiral Spring))^(1/3)
Thickness of Strip of Spring=(6*Bending moment in spiral spring^2*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Strain energy in spiral spring))^(1/3)

Can the Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum be negative?

No, the Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum, measured in Length cannot be negative.

Which unit is used to measure Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum?

Thickness of Strip when 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 Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum can be measured.

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Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula

​GoThickness of Strip given Bending Stress induced at outer end of Spring Formula

​GoThickness of Strip given Deflection of one end of Spring with respect to other end Formula

Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Example

Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Solution

Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula Elements

Other Formulas to find Thickness of Strip of Spring

How to Evaluate Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum?

FAQs on Thickness of Strip when Angle of Rotation of Arbor with Respect to Drum

Variable Name

GoThickness of Strip given Bending Stress induced at outer end of Spring Formula

GoThickness of Strip given Deflection of one end of Spring with respect to other end Formula