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 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)
l = δ*E*b*t^3/(12*M*r)
This formula uses 7 Variables
Variables Used
Length of Spiral Spring Strip - (Measured in Meter) - The Length of Spiral Spring Strip 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 Spiral Spring Strip
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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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

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

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)
l = δ*E*b*t^3/(12*M*r)

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 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) to calculate the Length of Spiral Spring Strip, The Length of Strip from Outer end to inner End given Deflection of one End of Spring formula is defined as the total length of the spiral spring strip. Length of Spiral Spring Strip 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?
The Length of Strip from Outer end to inner End given Deflection of one End of Spring formula is defined as the total length of the spiral spring strip and is represented as l = δ*E*b*t^3/(12*M*r) or 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). 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?
The Length of Strip from Outer end to inner End given Deflection of one End of Spring formula is defined as the total length of the spiral spring strip is calculated using 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). 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 Spiral Spring Strip?
In this formula, Length of Spiral Spring Strip 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 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)
  • 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)
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