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Thickness 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

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

t - Thickness of Strip of Spring?M - Bending moment in spiral spring?b - Width of Strip of Spiral Spring?σ_b - Bending Stress in Spiral Spring?

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

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Here is how the Thickness of Strip given Bending Stress induced at outer end of Spring equation looks like with Values.

Here is how the Thickness of Strip given Bending Stress induced at outer end of Spring equation looks like with Units.

Here is how the Thickness of Strip given Bending Stress induced at outer end of Spring equation looks like.

1.25 = \sqrt{12 \cdot \frac{1200}{11.52 \cdot 800}}

1.25mm = \sqrt{12 \cdot \frac{1200N*mm}{11.52mm \cdot 800N/mm²}}

1.25 = \sqrt{12 \cdot \frac{1200}{11.52 \cdot 800}}

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

Follow our step by step solution on how to calculate Thickness of Strip given Bending Stress induced at outer end of Spring?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t = \sqrt{12 \cdot \frac{1200N*mm}{11.52mm \cdot 800N/mm²}}

Next Step Convert Units

∴

t = \sqrt{12 \cdot \frac{1.2N*m}{0.0115m \cdot 8E+8Pa}}

Next Step Prepare to Evaluate

∴

t = \sqrt{12 \cdot \frac{1.2}{0.0115 \cdot 8E+8}}

Next Step Evaluate

∴

t = 0.00125m

LAST Step Convert to Output's Unit

∴

t = 1.25mm

Thickness of Strip given Bending Stress induced at outer end of Spring Formula Elements

Variables

Functions

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

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

Bending Stress in Spiral Spring

Bending Stress in Spiral Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Spiral Spring

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Thickness of Strip of Spring

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}}

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 given Bending Stress induced at outer end of Spring?

Thickness of Strip given Bending Stress induced at outer end of Spring evaluator uses Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring)) to evaluate the Thickness of Strip of Spring, Thickness of Strip given Bending Stress induced at outer end of Spring formula is defined as a measure of the thickness of a strip in a spiral spring, which is critical in determining the spring's ability to withstand bending stress and maintain its structural integrity. Thickness of Strip of Spring is denoted by t symbol.

How to evaluate Thickness of Strip given Bending Stress induced at outer end of Spring using this online evaluator? To use this online evaluator for Thickness of Strip given Bending Stress induced at outer end of Spring, enter Bending moment in spiral spring (M), Width of Strip of Spiral Spring (b) & Bending Stress in Spiral Spring (σ_b) and hit the calculate button.

FAQs on Thickness of Strip given Bending Stress induced at outer end of Spring

What is the formula to find Thickness of Strip given Bending Stress induced at outer end of Spring?

The formula of Thickness of Strip given Bending Stress induced at outer end of Spring is expressed as Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring)). Here is an example- 1250 = sqrt(12*1.2/(0.01152*800000000)).

How to calculate Thickness of Strip given Bending Stress induced at outer end of Spring?

With Bending moment in spiral spring (M), Width of Strip of Spiral Spring (b) & Bending Stress in Spiral Spring (σ_b) we can find Thickness of Strip given Bending Stress induced at outer end of Spring using the formula - Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring)). This formula also uses Square Root (sqrt) function(s).

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=(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=((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 given Bending Stress induced at outer end of Spring be negative?

No, the Thickness of Strip given Bending Stress induced at outer end of Spring, measured in Length cannot be negative.

Which unit is used to measure Thickness of Strip given Bending Stress induced at outer end of Spring?

Thickness of Strip given Bending Stress induced at outer end of Spring 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 Bending Stress induced at outer end of Spring can be measured.

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Thickness 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

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

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

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

Thickness of Strip given Bending Stress induced at outer end of Spring Formula Elements

Other Formulas to find Thickness of Strip of Spring

How to Evaluate Thickness of Strip given Bending Stress induced at outer end of Spring?

FAQs on Thickness of Strip given Bending Stress induced at outer end of Spring

Variable Name

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

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