Thickness of Strip given 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%
✖The Length of Spiral Spring Strip is defined as the length of the thin strip of which spiral spring coils are manufactured.ⓘ Length of Spiral Spring Strip [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%
✖Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.ⓘ Deflection of Spiral Spring [δ]			+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 Deflection of one end of Spring with respect to other end [t]

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Formula

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

Formula

`"t" = ((12*"M"*"l"*"r")/("E"*"b"*"δ"))^(1/3)`

Example

`"1.249545mm"=((12*"1200N*mm"*"5980mm"*"55mm")/("207000N/mm²"*"11.52mm"*"1018mm"))^(1/3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
t = ((12*M*l*r)/(E*b*δ))^(1/3)
This formula uses 7 Variables

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

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 Spiral Spring Strip: 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)
Deflection of Spiral Spring: 1018 Millimeter --> 1.018 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = ((12*M*l*r)/(E*b*δ))^(1/3) --> ((12*1.2*5.98*0.055)/(207000000000*0.01152*1.018))^(1/3)

Evaluating ... ...

t = 0.00124954505746455

STEP 3: Convert Result to Output's Unit

0.00124954505746455 Meter -->1.24954505746455 Millimeter (Check conversion here)

FINAL ANSWER

1.24954505746455 ≈ 1.249545 Millimeter <-- Thickness of Strip of Spring

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Springs » Spiral Springs » Thickness of Strip » Thickness of Strip given Deflection of one end of Spring with respect to other end

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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 Deflection of one end of Spring with respect to other end Formula

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

Thickness of Strip given Deflection of one end of Spring with respect to other end calculator uses 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) to calculate the Thickness of Strip of Spring, Thickness of Strip given Deflection of one end of Spring with respect to other end is defined as the thickness of the wire by which the spiral spring strip is made. Thickness of Strip of Spring is denoted by t symbol.

How to calculate Thickness of Strip given Deflection of one end of Spring with respect to other end using this online calculator? To use this online calculator for Thickness of Strip given Deflection of one end of Spring with respect to other end, enter Bending moment in spiral spring (M), Length of Spiral Spring Strip (l), Distance of CG of Spiral Spring (r), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Deflection of Spiral Spring (δ) and hit the calculate button. Here is how the Thickness of Strip given Deflection of one end of Spring with respect to other end calculation can be explained with given input values -> 1249.545 = ((12*1.2*5.98*0.055)/(207000000000*0.01152*1.018))^(1/3).

FAQ

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

Thickness of Strip given Deflection of one end of Spring with respect to other end is defined as the thickness of the wire by which the spiral spring strip is made and is represented as t = ((12*M*l*r)/(E*b*δ))^(1/3) or 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). 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 Length of Spiral Spring Strip 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 & Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.

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

Thickness of Strip given Deflection of one end of Spring with respect to other end is defined as the thickness of the wire by which the spiral spring strip is made is calculated using 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). To calculate Thickness of Strip given Deflection of one end of Spring with respect to other end, you need Bending moment in spiral spring (M), Length of Spiral Spring Strip (l), Distance of CG of Spiral Spring (r), Modulus of elasticity of spiral spring (E), Width of Strip of Spiral Spring (b) & Deflection of Spiral Spring (δ). With our tool, you need to enter the respective value for 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 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, 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 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 = (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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