Thickness of Strip given Bending Stress induced at outer end of Spring 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%
✖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 of Spiral Spring [b]			+10% -10%
✖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.ⓘ Bending Stress in Spiral Spring [σ_b]			+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 given Bending Stress induced at outer end of Spring [t]

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Formula

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

Formula

`"t" = sqrt(12*"M"/("b"*"σ"_{"b"}))`

Example

`"1.25mm"=sqrt(12*"1200N*mm"/("11.52mm"*"800N/mm²"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring))
t = sqrt(12*M/(b*σ_b))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
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.
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 Stress in Spiral Spring - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Bending moment in spiral spring: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)
Width of Strip of Spiral Spring: 11.52 Millimeter --> 0.01152 Meter (Check conversion here)
Bending Stress in Spiral Spring: 800 Newton per Square Millimeter --> 800000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = sqrt(12*M/(b*σ_b)) --> sqrt(12*1.2/(0.01152*800000000))

Evaluating ... ...

t = 0.00125

STEP 3: Convert Result to Output's Unit

0.00125 Meter -->1.25 Millimeter (Check conversion here)

FINAL ANSWER

1.25 Millimeter <-- Thickness of Strip of Spring

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 4 Thickness of Strip Calculators

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

Go Thickness of Strip of Spring = ((12*Bending moment in spiral spring*Length of Spiral Spring Strip*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 given Strain Energy Stored in Strip

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

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

Go Thickness of Strip of Spring = (12*Bending moment in spiral spring*Length of Spiral Spring Strip/(Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Angle of rotation of arbor))^(1/3)

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

Go 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 given Bending Stress induced at outer end of Spring Formula

Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring))
t = sqrt(12*M/(b*σ_b))

Define Bending Stress?

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending stress occurs when operating industrial equipment and in concrete and metallic structures when they are subjected to a tensile load.

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

Thickness of Strip given Bending Stress induced at outer end of Spring calculator 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 calculate the Thickness of Strip of Spring, Thickness of Strip given Bending Stress induced at outer end of Spring is defined as thickness of wire by which spiral torsion spring is made. Thickness of Strip of Spring is denoted by t symbol.

How to calculate Thickness of Strip given Bending Stress induced at outer end of Spring using this online calculator? To use this online calculator 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. Here is how the Thickness of Strip given Bending Stress induced at outer end of Spring calculation can be explained with given input values -> 1250 = sqrt(12*1.2/(0.01152*800000000)).

FAQ

What is 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 defined as thickness of wire by which spiral torsion spring is made and is represented as t = sqrt(12*M/(b*σ_b)) or Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress 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, 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 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.

How to calculate 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 defined as thickness of wire by which spiral torsion spring is made is calculated using Thickness of Strip of Spring = sqrt(12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Bending Stress in Spiral Spring)). To calculate Thickness of Strip given Bending Stress induced at outer end of Spring, you need Bending moment in spiral spring (M), Width of Strip of Spiral Spring (b) & Bending Stress in Spiral Spring (σ_b). With our tool, you need to enter the respective value for Bending moment in spiral spring, Width of Strip of Spiral Spring & Bending Stress in Spiral 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 Thickness of Strip of Spring?

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

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

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