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

✖Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.ⓘ Deflection of Spiral Spring [δ]			+10% -10%
✖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.ⓘ Modulus of elasticity of spiral spring [E]			+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 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 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.ⓘ Distance of CG of Spiral Spring [r]			+10% -10%

✖Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.ⓘ Length of Strip from Outer end to inner End given Deflection of one End of Spring [l]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Strip of Spiral Spring = 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)
l = δ*E*b*t^3/(12*M*r)
This formula uses 7 Variables

Variables Used

Length of Strip of Spiral Spring - (Measured in Meter) - Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.
Deflection of Spiral Spring - (Measured in Meter) - Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.
Modulus of elasticity of spiral spring - (Measured in Pascal) - 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.
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.
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.
Distance of CG of Spiral Spring - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Deflection of Spiral Spring: 1018 Millimeter --> 1.018 Meter (Check conversion here)
Modulus of elasticity of spiral spring: 207000 Newton per Square Millimeter --> 207000000000 Pascal (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)
Bending moment in spiral spring: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)
Distance of CG of Spiral Spring: 55 Millimeter --> 0.055 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = δ*E*b*t^3/(12*M*r) --> 1.018*207000000000*0.01152*0.00125^3/(12*1.2*0.055)

Evaluating ... ...

l = 5.98653409090909

STEP 3: Convert Result to Output's Unit

5.98653409090909 Meter -->5986.53409090909 Millimeter (Check conversion here)

FINAL ANSWER

5986.53409090909 ≈ 5986.534 Millimeter <-- Length of Strip of Spiral Spring

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Spring Material Mechanics Calculators

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

LaTeX Go Length of Strip of Spiral Spring = 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

LaTeX Go Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(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

LaTeX Go Angle of Rotation of Arbor = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(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

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

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

LaTeX Go

Define Deflection of Spring?

Spring deflection, also known as spring travel, is the action of a compression spring compressing (being pushed), an extension spring extending (being pulled), or a torsion spring torquing (radially) when a load is applied or released. A travelled distance is exactly what deflection is.

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

Length of Strip from Outer end to inner End given Deflection of one End of Spring calculator uses Length of Strip of Spiral Spring = 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) to calculate the Length of Strip of Spiral Spring, Length of Strip from Outer end to inner End given Deflection of one End of Spring formula is defined as the distance from the outer end to the inner end of a spiral spring, which is critical in determining the spring's overall dimensions and functionality in various mechanical systems. Length of Strip of Spiral Spring is denoted by l symbol.

How to calculate Length of Strip from Outer end to inner End given Deflection of one End of Spring using this online calculator? To use this online calculator for Length of Strip from Outer end to inner End given Deflection of one End of Spring, enter Deflection of Spiral Spring (δ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t), Bending moment in spiral spring (M) & Distance of CG of Spiral Spring (r) and hit the calculate button. Here is how the Length of Strip from Outer end to inner End given Deflection of one End of Spring calculation can be explained with given input values -> 6E+6 = 1.018*207000000000*0.01152*0.00125^3/(12*1.2*0.055).

FAQ

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

Length of Strip from Outer end to inner End given Deflection of one End of Spring formula is defined as the distance from the outer end to the inner end of a spiral spring, which is critical in determining the spring's overall dimensions and functionality in various mechanical systems and is represented as l = δ*E*b*t^3/(12*M*r) or Length of Strip of Spiral Spring = 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). Deflection of Spiral Spring is the deflection of one end of spring with respect to the other, 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, 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, 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 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.

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

Length of Strip from Outer end to inner End given Deflection of one End of Spring formula is defined as the distance from the outer end to the inner end of a spiral spring, which is critical in determining the spring's overall dimensions and functionality in various mechanical systems is calculated using Length of Strip of Spiral Spring = 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). To calculate Length of Strip from Outer end to inner End given Deflection of one End of Spring, you need Deflection of Spiral Spring (δ), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b), Thickness of Strip of Spring (t), Bending moment in spiral spring (M) & Distance of CG of Spiral Spring (r). With our tool, you need to enter the respective value for Deflection of Spiral Spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring, Thickness of Strip of Spring, Bending moment in spiral spring & Distance of CG of 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 Length of Strip of Spiral Spring?

In this formula, Length of Strip of Spiral Spring uses Deflection of Spiral Spring, Modulus of elasticity of spiral spring, Width of Strip of Spiral Spring, Thickness of Strip of Spring, Bending moment in spiral spring & Distance of CG of Spiral Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Strip of Spiral Spring = 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)
Length of Strip of Spiral Spring = 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)

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