Width of Strip given Deflection of one End of Spring with Respect to Other End Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
b = 12*M*l*r/(E*δ*t^3)
This formula uses 7 Variables
Variables Used
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.
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.
Deflection of Spiral Spring - (Measured in Meter) - Deflection of Spiral Spring is the deflection of one end of spring with respect to the other.
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)
Deflection of Spiral Spring: 1018 Millimeter --> 1.018 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
b = 12*M*l*r/(E*δ*t^3) --> 12*1.2*5.98*0.055/(207000000000*1.018*0.00125^3)
Evaluating ... ...
b = 0.0115074263261297
STEP 3: Convert Result to Output's Unit
0.0115074263261297 Meter -->11.5074263261297 Millimeter (Check conversion ​here)
FINAL ANSWER
11.5074263261297 11.50743 Millimeter <-- Width of Strip of Spiral Spring
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Width of Strip Calculators

Width of Strip given Deflection of one End of Spring with Respect to Other End
​ LaTeX ​ Go Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
Width of Strip given Deflection of one End of Spring
​ LaTeX ​ Go Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
Width of Strip given Angle of Rotation of Arbor with Respect to Drum
​ LaTeX ​ Go Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Angle of Rotation of Arbor*(Thickness of Strip of Spring^3))
Width of Strip given Bending Stress induced at uuter end of Spring
​ LaTeX ​ Go Width of Strip of Spiral Spring = 12*Bending moment in spiral spring/(Bending Stress in Spiral Spring*Thickness of Strip of Spring^2)

Width of Strip given Deflection of one End of Spring with Respect to Other End Formula

​LaTeX ​Go
Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
b = 12*M*l*r/(E*δ*t^3)

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 Width of Strip given Deflection of one End of Spring with Respect to Other End?

Width of Strip given Deflection of one End of Spring with Respect to Other End calculator uses Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3) to calculate the Width of Strip of Spiral Spring, Width of Strip given Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the width of a strip in a spiral spring, which is influenced by the deflection of one end of the spring with respect to the other end, and is an important parameter in the design and analysis of spiral springs. Width of Strip of Spiral Spring is denoted by b symbol.

How to calculate Width of Strip given Deflection of one End of Spring with Respect to Other End using this online calculator? To use this online calculator for Width of Strip given 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), Deflection of Spiral Spring (δ) & Thickness of Strip of Spring (t) and hit the calculate button. Here is how the Width of Strip given Deflection of one End of Spring with Respect to Other End calculation can be explained with given input values -> 11507.43 = 12*1.2*5.98*0.055/(207000000000*1.018*0.00125^3).

FAQ

What is Width of Strip given Deflection of one End of Spring with Respect to Other End?
Width of Strip given Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the width of a strip in a spiral spring, which is influenced by the deflection of one end of the spring with respect to the other end, and is an important parameter in the design and analysis of spiral springs and is represented as b = 12*M*l*r/(E*δ*t^3) or Width of Strip 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*Deflection 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, Deflection of Spiral Spring is the deflection of one end of spring with respect to the other & 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 Width of Strip given Deflection of one End of Spring with Respect to Other End?
Width of Strip given Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the width of a strip in a spiral spring, which is influenced by the deflection of one end of the spring with respect to the other end, and is an important parameter in the design and analysis of spiral springs is calculated using Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3). To calculate Width of Strip given 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), Deflection of Spiral Spring (δ) & 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, Deflection 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.
How many ways are there to calculate Width of Strip of Spiral Spring?
In this formula, Width of Strip of Spiral Spring uses Bending moment in spiral spring, Length of Strip of Spiral Spring, Distance of CG of Spiral Spring, Modulus of elasticity of spiral spring, Deflection of Spiral Spring & Thickness of Strip of Spring. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Width of Strip of Spiral Spring = 12*Bending moment in spiral spring/(Bending Stress in Spiral Spring*Thickness of Strip of Spring^2)
  • Width of Strip of Spiral Spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Modulus of elasticity of spiral spring*Angle of Rotation of Arbor*(Thickness of Strip of Spring^3))
  • Width of Strip 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*Deflection of Spiral Spring*Thickness of Strip of Spring^3)
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