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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. Check FAQs
r=δEbt312Ml
r - Distance of CG of Spiral Spring?δ - Deflection of Spiral Spring?E - Modulus of elasticity of spiral spring?b - Width of Strip of Spiral Spring?t - Thickness of Strip of Spring?M - Bending moment in spiral spring?l - Length of Strip of Spiral Spring?

Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring Example

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Here is how the Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring equation looks like with Values.

Here is how the Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring equation looks like with Units.

Here is how the Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring equation looks like.

55.0601Edit=1018Edit207000Edit11.52Edit1.25Edit3121200Edit5980Edit
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Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring Solution

Follow our step by step solution on how to calculate Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring?

FIRST Step Consider the formula
r=δEbt312Ml
Next Step Substitute values of Variables
r=1018mm207000N/mm²11.52mm1.25mm3121200N*mm5980mm
Next Step Convert Units
r=1.018m2.1E+11Pa0.0115m0.0012m3121.2N*m5.98m
Next Step Prepare to Evaluate
r=1.0182.1E+110.01150.00123121.25.98
Next Step Evaluate
r=0.0550600961538462m
Next Step Convert to Output's Unit
r=55.0600961538462mm
LAST Step Rounding Answer
r=55.0601mm

Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring Formula Elements

Variables
Distance of CG of Spiral Spring
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.
Symbol: r
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Deflection of Spiral Spring
Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.
Symbol: δ
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Modulus of elasticity of spiral spring
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.
Symbol: E
Measurement: PressureUnit: N/mm²
Note: Value should be greater than 0.
Width of Strip of Spiral Spring
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.
Symbol: b
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Thickness of Strip of Spring
The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.
Symbol: t
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Bending moment in spiral spring
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.
Symbol: M
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Length of Strip of Spiral Spring
Length of Strip of Spiral Spring is defined as the length of the thin strip of which spiral spring coils are manufactured.
Symbol: l
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Distance of CG of Spiral Spring

​Go Distance of centre of Gravity of Spiral from outer end given Bending Moment due to Force
r=MP

Other formulas in Bending Moment in Spiral Spring category

​Go Bending Moment due to Force given Bending Stress induced in Spring
M=σbbt212
​Go Bending Moment due to Force
M=Pr

How to Evaluate Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring?

Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring evaluator uses Distance of CG 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*Length of Strip of Spiral Spring) to evaluate the Distance of CG of Spiral Spring, Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring formula is defined as a measure of the location of the centre of gravity of a spiral spring from its outer end, which is essential in determining the spring's stability and balance in various mechanical systems. Distance of CG of Spiral Spring is denoted by r symbol.

How to evaluate Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring using this online evaluator? To use this online evaluator for Distance of centre of Gravity of Spiral from outer 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) & Length of Strip of Spiral Spring (l) and hit the calculate button.

FAQs on Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring

What is the formula to find Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring?
The formula of Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring is expressed as Distance of CG 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*Length of Strip of Spiral Spring). Here is an example- 55060.1 = 1.018*207000000000*0.01152*0.00125^3/(12*1.2*5.98).
How to calculate Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring?
With 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) & Length of Strip of Spiral Spring (l) we can find Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring using the formula - Distance of CG 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*Length of Strip of Spiral Spring).
What are the other ways to Calculate Distance of CG of Spiral Spring?
Here are the different ways to Calculate Distance of CG of Spiral Spring-
  • Distance of CG of Spiral Spring=Bending moment in spiral spring/Force on spiral springOpenImg
Can the Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring be negative?
No, the Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring, measured in Length cannot be negative.
Which unit is used to measure Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring?
Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of centre of Gravity of Spiral from outer end given Deflection of one End of Spring can be measured.
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