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

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

GoThickness of Strip when Angle of Rotation of Arbor with Respect to Drum 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 = {(\frac{12 \cdot M \cdot l \cdot r}{E \cdot b \cdot δ})}^{\frac{1}{3}}

t - Thickness of Strip of Spring?M - Bending moment in spiral spring?l - Length of Strip of Spiral Spring?r - Distance of CG of Spiral Spring?E - Modulus of elasticity of spiral spring?b - Width of Strip of Spiral Spring?δ - Deflection of Spiral Spring?

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

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Here is how the Thickness of Strip given Deflection of one end of Spring with respect to other end equation looks like with Values.

Here is how the Thickness of Strip given Deflection of one end of Spring with respect to other end equation looks like with Units.

Here is how the Thickness of Strip given Deflection of one end of Spring with respect to other end equation looks like.

1.2495 = {(\frac{12 \cdot 1200 \cdot 5980 \cdot 55}{207000 \cdot 11.52 \cdot 1018})}^{\frac{1}{3}}

1.2495mm = {(\frac{12 \cdot 1200N*mm \cdot 5980mm \cdot 55mm}{207000N/mm² \cdot 11.52mm \cdot 1018mm})}^{\frac{1}{3}}

1.2495 = {(\frac{12 \cdot 1200 \cdot 5980 \cdot 55}{207000 \cdot 11.52 \cdot 1018})}^{\frac{1}{3}}

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

Follow our step by step solution on how to calculate Thickness of Strip given Deflection of one end of Spring with respect to other end?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = {(\frac{12 \cdot 1200N*mm \cdot 5980mm \cdot 55mm}{207000N/mm² \cdot 11.52mm \cdot 1018mm})}^{\frac{1}{3}}

Next Step Convert Units

∴

t = {(\frac{12 \cdot 1.2N*m \cdot 5.98m \cdot 0.055m}{2.1E+11Pa \cdot 0.0115m \cdot 1.018m})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

t = {(\frac{12 \cdot 1.2 \cdot 5.98 \cdot 0.055}{2.1E+11 \cdot 0.0115 \cdot 1.018})}^{\frac{1}{3}}

Next Step Evaluate

∴

t = 0.00124954505746455m

Next Step Convert to Output's Unit

∴

t = 1.24954505746455mm

LAST Step Rounding Answer

∴

t = 1.2495mm

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

Distance of CG of Spiral Spring

The Distance of CG of Spiral Spring from Outer End is the distance between the spiral's outer end strip and the center of gravity of the spiral.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of CG 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

Deflection of Spiral Spring

Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection of Spiral Spring

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 when Angle of Rotation of Arbor with Respect to Drum

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

How to Evaluate Thickness of Strip given Deflection of one end of Spring with respect to other end?

Thickness of Strip given Deflection of one end of Spring with respect to other end evaluator uses 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) to evaluate the Thickness of Strip of Spring, Thickness of Strip given Deflection of one end of Spring with respect to other end formula is defined as a measure of the thickness of a strip in a spiral spring, which is influenced by the deflection of one end of the spring with respect to the other end, and is critical in determining the spring's overall mechanical properties. Thickness of Strip of Spring is denoted by t symbol.

How to evaluate Thickness of Strip given Deflection of one end of Spring with respect to other end using this online evaluator? To use this online evaluator for Thickness of Strip given Deflection of one end of Spring with respect to other end, enter Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Distance of CG of Spiral Spring (r), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Deflection of Spiral Spring (δ) and hit the calculate button.

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

What is the formula to find Thickness of Strip given Deflection of one end of Spring with respect to other end?

The formula of Thickness of Strip given Deflection of one end of Spring with respect to other end is expressed as 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). Here is an example- 1249.545 = ((12*1.2*5.98*0.055)/(207000000000*0.01152*1.018))^(1/3).

How to calculate Thickness of Strip given Deflection of one end of Spring with respect to other end?

With Bending moment in spiral spring (M), Length of Strip of Spiral Spring (l), Distance of CG of Spiral Spring (r), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Deflection of Spiral Spring (δ) we can find Thickness of Strip given Deflection of one end of Spring with respect to other end using the formula - 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).

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/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of Rotation of Arbor))^(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 given Deflection of one end of Spring with respect to other end be negative?

No, the Thickness of Strip given Deflection of one end of Spring with respect to other end, measured in Length cannot be negative.

Which unit is used to measure Thickness of Strip given Deflection of one end of Spring with respect to other end?

Thickness of Strip given Deflection of one end of Spring with respect to other end 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 given Deflection of one end of Spring with respect to other end can be measured.

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

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

​GoThickness of Strip when Angle of Rotation of Arbor with Respect to Drum Formula

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

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

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

Other Formulas to find Thickness of Strip of Spring

How to Evaluate Thickness of Strip given Deflection of one end of Spring with respect to other end?

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

Variable Name

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

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