FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Deflection of one End of Spring with Respect to Other End Formula

Fx Copy

LaTeX Copy

Deflection of Spiral Spring is the deflection of one end of spring with respect to the other. Check FAQs

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

δ - Deflection 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?b - Width of Strip of Spiral Spring?t - Thickness of Strip of Spring?

Deflection of one End of Spring with Respect to Other End Example

With values

With units

Only example

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

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

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

1016.8889 = 12 \cdot 1200 \cdot 5980 \cdot \frac{55}{207000 \cdot 11.52 \cdot {1.25}^{3}}

1016.8889mm = 12 \cdot 1200N*mm \cdot 5980mm \cdot \frac{55mm}{207000N/mm² \cdot 11.52mm \cdot {1.25mm}^{3}}

1016.8889 = 12 \cdot 1200 \cdot 5980 \cdot \frac{55}{207000 \cdot 11.52 \cdot {1.25}^{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Automobile Elements » fx Deflection of one End of Spring with Respect to Other End

Deflection of one End of Spring with Respect to Other End Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

δ = 12 \cdot 1200N*mm \cdot 5980mm \cdot \frac{55mm}{207000N/mm² \cdot 11.52mm \cdot {1.25mm}^{3}}

Next Step Convert Units

∴

δ = 12 \cdot 1.2N*m \cdot 5.98m \cdot \frac{0.055m}{2.1E+11Pa \cdot 0.0115m \cdot {0.0012m}^{3}}

Next Step Prepare to Evaluate

∴

δ = 12 \cdot 1.2 \cdot 5.98 \cdot \frac{0.055}{2.1E+11 \cdot 0.0115 \cdot {0.0012}^{3}}

Next Step Evaluate

∴

δ = 1.01688888888889m

Next Step Convert to Output's Unit

∴

δ = 1016.88888888889mm

LAST Step Rounding Answer

∴

δ = 1016.8889mm

Deflection of one End of Spring with Respect to Other End Formula Elements

Variables

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

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

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

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 in Bending Moment in Spiral Spring category

Go Bending Moment due to Force given Bending Stress induced in Spring

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

Go Bending Moment due to Force

M = P \cdot r

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

Deflection of one End of Spring with Respect to Other End evaluator uses Deflection 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*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3) to evaluate the Deflection of Spiral Spring, Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the displacement of one end of a spiral spring relative to the other end, which is affected by the spring's material properties, geometry, and the applied load, providing a critical parameter in the design and analysis of spiral springs. Deflection of Spiral Spring is denoted by δ symbol.

How to evaluate Deflection of one End of Spring with Respect to Other End using this online evaluator? To use this online evaluator for 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), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button.

FAQs on Deflection of one End of Spring with Respect to Other End

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

The formula of Deflection of one End of Spring with Respect to Other End is expressed as Deflection 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*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3). Here is an example- 1E+6 = 12*1.2*5.98*0.055/(207000000000*0.01152*0.00125^3).

How to calculate 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), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) we can find Deflection of one End of Spring with Respect to Other End using the formula - Deflection 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*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3).

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

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

Which unit is used to measure Deflection of one End of Spring with Respect to Other End?

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 Deflection of one End of Spring with Respect to Other End can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Deflection of one End of Spring with Respect to Other End Formula

Deflection of one End of Spring with Respect to Other End Example

Deflection of one End of Spring with Respect to Other End Solution

Deflection of one End of Spring with Respect to Other End Formula Elements

Other formulas in Bending Moment in Spiral Spring category

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

FAQs on Deflection of one End of Spring with Respect to Other End

Variable Name