Deflection of one End of Spring with Respect to Other End 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%
✖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 of Spiral Spring [l]			+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%
✖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%

✖Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.ⓘ Deflection of one End of Spring with Respect to Other End [δ]

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Deflection of one End of Spring with Respect to Other End Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Deflection of Spiral Spring - (Measured in Meter) - Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Bending moment in spiral spring: 1200 Newton Millimeter --> 1.2 Newton Meter (Check conversion here)
Length of Strip of Spiral Spring: 5980 Millimeter --> 5.98 Meter (Check conversion here)
Distance of CG of Spiral Spring: 55 Millimeter --> 0.055 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = 12*M*l*r/(E*b*t^3) --> 12*1.2*5.98*0.055/(207000000000*0.01152*0.00125^3)

Evaluating ... ...

δ = 1.01688888888889

STEP 3: Convert Result to Output's Unit

1.01688888888889 Meter -->1016.88888888889 Millimeter (Check conversion here)

FINAL ANSWER

1016.88888888889 ≈ 1016.889 Millimeter <-- Deflection of Spiral Spring

(Calculation completed in 00.012 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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< Bending Moment in Spiral Spring Calculators

Bending Moment due to Force given Angle of Rotation of Arbor with Respect to Drum

LaTeX Go Bending moment in 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*Length of Strip of Spiral Spring)

Bending Moment due to Force given Bending Stress induced in Spring

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

Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force

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

Bending Moment due to Force

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

Deflection of one End of Spring with Respect to Other End 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 Deflection of one End of Spring with Respect to Other End?

Deflection of one End of Spring with Respect to Other End calculator uses Deflection of Spiral 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*Thickness of Strip of Spring^3) to calculate the Deflection of Spiral Spring, Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the displacement of one end of a spiral spring relative to the other end, which is affected by the spring's material properties, geometry, and the applied load, providing a critical parameter in the design and analysis of spiral springs. Deflection of Spiral Spring is denoted by δ symbol.

How to calculate Deflection of one End of Spring with Respect to Other End using this online calculator? To use this online calculator for 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) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Deflection of one End of Spring with Respect to Other End calculation can be explained with given input values -> 1E+6 = 12*1.2*5.98*0.055/(207000000000*0.01152*0.00125^3).

FAQ

What is Deflection of one End of Spring with Respect to Other End?

Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the displacement of one end of a spiral spring relative to the other end, which is affected by the spring's material properties, geometry, and the applied load, providing a critical parameter in the design and analysis of spiral springs and is represented as δ = 12*M*l*r/(E*b*t^3) or Deflection of Spiral 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*Thickness of Strip of Spring^3). 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, Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured, 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, 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.

How to calculate Deflection of one End of Spring with Respect to Other End?

Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the displacement of one end of a spiral spring relative to the other end, which is affected by the spring's material properties, geometry, and the applied load, providing a critical parameter in the design and analysis of spiral springs is calculated using Deflection of Spiral 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*Thickness of Strip of Spring^3). To calculate Deflection of one End of Spring with Respect to Other End, you need 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) & Thickness of Strip of Spring (t). With our tool, you need to enter the respective value for 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 & 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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