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

GoWidth of Strip given Bending Stress induced at uuter end of Spring Formula

GoWidth of Strip given Angle of Rotation of Arbor with Respect to Drum Formula

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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. Check FAQs

b = 12 \cdot M \cdot l \cdot \frac{r}{E \cdot δ \cdot t^{3}}

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

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

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Here is how the Width of Strip given Deflection of one End of Spring with Respect to Other End equation looks like with Values.

Here is how the Width of Strip given Deflection of one End of Spring with Respect to Other End equation looks like with Units.

Here is how the Width of Strip given Deflection of one End of Spring with Respect to Other End equation looks like.

11.5074 = 12 \cdot 1200 \cdot 5980 \cdot \frac{55}{207000 \cdot 1018 \cdot {1.25}^{3}}

11.5074mm = 12 \cdot 1200N*mm \cdot 5980mm \cdot \frac{55mm}{207000N/mm² \cdot 1018mm \cdot {1.25mm}^{3}}

11.5074 = 12 \cdot 1200 \cdot 5980 \cdot \frac{55}{207000 \cdot 1018 \cdot {1.25}^{3}}

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

Follow our step by step solution on how to calculate Width of Strip given Deflection of one End of Spring with Respect to Other End?

FIRST Step Consider the formula

b = 12 \cdot M \cdot l \cdot \frac{r}{E \cdot δ \cdot t^{3}}

Next Step Substitute values of Variables

∴

b = 12 \cdot 1200N*mm \cdot 5980mm \cdot \frac{55mm}{207000N/mm² \cdot 1018mm \cdot {1.25mm}^{3}}

Next Step Convert Units

∴

b = 12 \cdot 1.2N*m \cdot 5.98m \cdot \frac{0.055m}{2.1E+11Pa \cdot 1.018m \cdot {0.0012m}^{3}}

Next Step Prepare to Evaluate

∴

b = 12 \cdot 1.2 \cdot 5.98 \cdot \frac{0.055}{2.1E+11 \cdot 1.018 \cdot {0.0012}^{3}}

Next Step Evaluate

∴

b = 0.0115074263261297m

Next Step Convert to Output's Unit

∴

b = 11.5074263261297mm

LAST Step Rounding Answer

∴

b = 11.5074mm

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

Variables

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.

Formulas to find Width of Strip of Spiral Spring

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.

Formulas to find Bending moment in spiral spring

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.

Formulas to find Length of Strip of Spiral Spring

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.

Formulas to find Distance of CG of Spiral Spring

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.

Formulas to find Modulus of elasticity of spiral spring

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.

Formulas to find Deflection of Spiral Spring

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.

Formulas to find Thickness of Strip of Spring

Other Formulas to find Width of Strip of Spiral Spring

Go Width of Strip given Bending Stress induced at uuter end of Spring

b = 12 \cdot \frac{M}{σ b \cdot t^{2}}

Go Width of Strip given Angle of Rotation of Arbor with Respect to Drum

b = 12 \cdot M \cdot \frac{l}{E \cdot θ \cdot (t^{3})}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Width of Strip given Deflection of one End of Spring with Respect to Other End using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Width of Strip given Deflection of one End of Spring with Respect to Other End?

The formula of Width of Strip given Deflection of one End of Spring with Respect to Other End is expressed as 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). Here is an example- 11507.43 = 12*1.2*5.98*0.055/(207000000000*1.018*0.00125^3).

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

With 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) we can find Width of Strip given Deflection of one End of Spring with Respect to Other End using the formula - 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).

What are the other ways to Calculate Width of Strip of Spiral Spring?

Here are the different ways to Calculate Width of Strip of Spiral Spring-

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)

Can the Width of Strip given Deflection of one End of Spring with Respect to Other End be negative?

No, the Width of Strip given Deflection of one End of Spring with Respect to Other End, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Strip given Deflection of one End of Spring with Respect to Other End can be measured.

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

​GoWidth of Strip given Bending Stress induced at uuter end of Spring Formula

​GoWidth of Strip given Angle of Rotation of Arbor with Respect to Drum Formula

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

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

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

Other Formulas to find Width of Strip of Spiral Spring

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

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

Variable Name

GoWidth of Strip given Bending Stress induced at uuter end of Spring Formula

GoWidth of Strip given Angle of Rotation of Arbor with Respect to Drum Formula