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Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End Formula

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GoModulus of Elasticity given Angle of Rotation of Arbor Formula

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GoModulus of Elasticity of Spring Wire given Strain Energy Stored in Spring Formula

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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. Check FAQs

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

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

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End Example

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

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

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

206774.0668 = 12 \cdot 1200 \cdot 5980 \cdot \frac{55}{1018 \cdot 11.52 \cdot {1.25}^{3}}

206774.0668N/mm² = 12 \cdot 1200N*mm \cdot 5980mm \cdot \frac{55mm}{1018mm \cdot 11.52mm \cdot {1.25mm}^{3}}

206774.0668 = 12 \cdot 1200 \cdot 5980 \cdot \frac{55}{1018 \cdot 11.52 \cdot {1.25}^{3}}

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Home » Physics » Mechanical » Design of Automobile Elements » Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 12 \cdot 1200N*mm \cdot 5980mm \cdot \frac{55mm}{1018mm \cdot 11.52mm \cdot {1.25mm}^{3}}

Next Step Convert Units

∴

E = 12 \cdot 1.2N*m \cdot 5.98m \cdot \frac{0.055m}{1.018m \cdot 0.0115m \cdot {0.0012m}^{3}}

Next Step Prepare to Evaluate

∴

E = 12 \cdot 1.2 \cdot 5.98 \cdot \frac{0.055}{1.018 \cdot 0.0115 \cdot {0.0012}^{3}}

Next Step Evaluate

∴

E = 206774066797.642Pa

Next Step Convert to Output's Unit

∴

E = 206774.066797642N/mm²

LAST Step Rounding Answer

∴

E = 206774.0668N/mm²

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End Formula Elements

Variables

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.

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.

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.

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.

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Formula and 1000+ more formulas!

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Formula and 1900+ more formulas!

Other Formulas to find Modulus of elasticity of spiral spring

Go Modulus of Elasticity given Angle of Rotation of Arbor

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

Go Modulus of Elasticity of Spring Wire given Strain Energy Stored in Spring

E = \frac{6 \cdot (M^{2}) \cdot l}{U \cdot b \cdot t^{3}}

Other formulas in Spring Material Mechanics category

Go Maximum Bending Stress induced at outer end of Spring

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

Go Angle of Rotation of Arbor with Respect to Drum

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

See More

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

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End evaluator uses Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3) to evaluate the Modulus of elasticity of spiral spring, Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End formula is defined as a measure of the spring's stiffness, which is the ratio of stress to strain, and is used to describe the spring's ability to resist deformation under an applied load in spiral springs. Modulus of elasticity of spiral spring is denoted by E symbol.

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

FAQs on Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End

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

The formula of Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End is expressed as Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3). Here is an example- 0.206774 = 12*1.2*5.98*0.055/(1.018*0.01152*0.00125^3).

How to calculate Modulus of Elasticity 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), Deflection of Spiral Spring (δ), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) we can find Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End using the formula - Modulus of elasticity of spiral spring = 12*Bending moment in spiral spring*Length of Strip of Spiral Spring*Distance of CG of Spiral Spring/(Deflection of Spiral Spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3).

What are the other ways to Calculate Modulus of elasticity of spiral spring?

Here are the different ways to Calculate Modulus of elasticity of spiral spring-

Modulus of elasticity of spiral spring=12*Bending moment in spiral spring*Length of Strip of Spiral Spring/(Angle of Rotation of Arbor*Width of Strip of Spiral Spring*(Thickness of Strip of Spring^3))
Modulus of elasticity of spiral spring=(6*(Bending moment in spiral spring^2)*Length of Strip of Spiral Spring)/(Strain energy in spiral spring*Width of Strip of Spiral Spring*Thickness of Strip of Spring^3)

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

No, the Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End, measured in Pressure cannot be negative.

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

Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Modulus of Elasticity given Deflection of one End of Spring with Respect to Other End can be measured.

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