Maximum 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%
✖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 of Spring [t]			+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.ⓘ Maximum Bending Stress induced at outer end of Spring [σ_b]

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Formula

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Maximum Bending Stress induced at outer end of Spring

Formula

`"σ"_{"b"} = 12*"M"/("b"*"t"^2)`

Example

`"800N/mm²"=12*"1200N*mm"/("11.52mm"*("1.25mm")^2)`

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Maximum Bending Stress induced at outer end of Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2)
σ_b = 12*M/(b*t^2)
This formula uses 4 Variables

Variables Used

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.
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.
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.

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)
Thickness of Strip of Spring: 1.25 Millimeter --> 0.00125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = 12*M/(b*t^2) --> 12*1.2/(0.01152*0.00125^2)

Evaluating ... ...

σ_b = 800000000

STEP 3: Convert Result to Output's Unit

800000000 Pascal -->800 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

800 Newton per Square Millimeter <-- Bending Stress in Spiral Spring

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< 10+ Spring Material Mechanics Calculators

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End

Go Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Spiral Spring Strip*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)

Length of Strip from Outer end to inner End given Deflection of one End of Spring

Go Length of Spiral Spring Strip = Deflection of Spiral Spring*Modulus of elasticity of spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3/(12*Bending moment in spiral spring*Distance of CG of Spiral Spring)

Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring

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

Strain Energy Stored in Spiral Spring

Go Strain energy in spiral 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*Thickness of Strip of Spring^3)

Length of Strip from Outer end to Inner End given Strain Energy Stored in Spring

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

Length of Strip from Outer end to inner End given Angle of Rotation of Arbor

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

Modulus of Elasticity given Angle of Rotation of Arbor

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

Angle of Rotation of Arbor with Respect to Drum

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

Maximum Bending Stress induced at outer end of Spring

Go Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2)

Force given Bending Moment Due to that Force

Go Force on spiral spring = Bending moment in spiral spring/Distance of CG of Spiral Spring

Maximum Bending Stress induced at outer end of Spring Formula

Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2)
σ_b = 12*M/(b*t^2)

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 Maximum Bending Stress induced at outer end of Spring?

Maximum Bending Stress induced at outer end of Spring calculator uses Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2) to calculate the Bending Stress in Spiral Spring, Maximum Bending Stress induced at outer end of Spring is defined as 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 in Spiral Spring is denoted by σ_b symbol.

How to calculate Maximum Bending Stress induced at outer end of Spring using this online calculator? To use this online calculator for Maximum Bending Stress induced at outer end of Spring, enter Bending moment in spiral spring (M), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Maximum Bending Stress induced at outer end of Spring calculation can be explained with given input values -> 0.0008 = 12*1.2/(0.01152*0.00125^2).

FAQ

What is Maximum Bending Stress induced at outer end of Spring?

Maximum Bending Stress induced at outer end of Spring is defined as 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 and is represented as σ_b = 12*M/(b*t^2) or Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2). 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 & The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.

How to calculate Maximum Bending Stress induced at outer end of Spring?

Maximum Bending Stress induced at outer end of Spring is defined as 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 is calculated using Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2). To calculate Maximum Bending Stress induced at outer end of Spring, you need Bending moment in spiral spring (M), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t). With our tool, you need to enter the respective value for Bending moment in spiral spring, Width of Strip of Spiral Spring & Thickness of Strip of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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