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Youngs Modulus of Flat Spring Formula

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Youngs Modulus is a fundamental material property that measures the stiffness of a solid material. Check FAQs

E = \frac{12 \cdot T c \cdot l}{b \cdot t^{3} \cdot θ s}

E - Youngs Modulus?T_c - Controlling Torque?l - Spring Length?b - Spring Width?t - Spring Thickness?θ_s - Spring Angular Deflection?

Youngs Modulus of Flat Spring Example

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Here is how the Youngs Modulus of Flat Spring equation looks like with Values.

Here is how the Youngs Modulus of Flat Spring equation looks like with Units.

Here is how the Youngs Modulus of Flat Spring equation looks like.

994.4399 = \frac{12 \cdot 34 \cdot 0.25}{1.68 \cdot {0.45}^{3} \cdot 0.67}

994.4399Pa = \frac{12 \cdot 34N*m \cdot 0.25m}{1.68m \cdot {0.45m}^{3} \cdot 0.67rad}

994.4399 = \frac{12 \cdot 34 \cdot 0.25}{1.68 \cdot {0.45}^{3} \cdot 0.67}

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Youngs Modulus of Flat Spring Solution

Follow our step by step solution on how to calculate Youngs Modulus of Flat Spring?

FIRST Step Consider the formula

E = \frac{12 \cdot T c \cdot l}{b \cdot t^{3} \cdot θ s}

Next Step Substitute values of Variables

∴

E = \frac{12 \cdot 34N*m \cdot 0.25m}{1.68m \cdot {0.45m}^{3} \cdot 0.67rad}

Next Step Prepare to Evaluate

∴

E = \frac{12 \cdot 34 \cdot 0.25}{1.68 \cdot {0.45}^{3} \cdot 0.67}

Next Step Evaluate

∴

E = 994.43991096838Pa

LAST Step Rounding Answer

∴

E = 994.4399Pa

Youngs Modulus of Flat Spring Formula Elements

Variables

Youngs Modulus

Youngs Modulus is a fundamental material property that measures the stiffness of a solid material.

Symbol: E

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Youngs Modulus

Controlling Torque

Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.

Symbol: T_c

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Controlling Torque

Spring Length

Spring Length refers to the various lengths a spring can have under different conditions and forces.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spring Length

Spring Width

Spring Width refers to the dimension of a spring measured perpendicular to its length or axis.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spring Width

Spring Thickness

Spring Thickness refers to the measurement of the diameter or cross-sectional dimension of a spring material used in various mechanical applications.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spring Thickness

Spring Angular Deflection

Spring Angular Deflection is defined as how a spring responds when force is applied or released.

Symbol: θ_s

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Spring Angular Deflection

Other formulas in Instrument Characteristics category

Go Sensitivity

S = \frac{Q out}{Q in}

Go Magnitude of Output Response

Q out = S \cdot Q in

Go Magnitude of Input

Q in = \frac{Q out}{S}

Go Inverse Sensitivity or Scale Factor

SF = \frac{1}{S}

How to Evaluate Youngs Modulus of Flat Spring?

Youngs Modulus of Flat Spring evaluator uses Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection) to evaluate the Youngs Modulus, The Youngs Modulus of Flat Spring formula is defined as a measure of the material's stiffness, quantifying the relationship between stress and strain when the material is deformed elastically. Youngs Modulus is denoted by E symbol.

How to evaluate Youngs Modulus of Flat Spring using this online evaluator? To use this online evaluator for Youngs Modulus of Flat Spring, enter Controlling Torque (T_c), Spring Length (l), Spring Width (b), Spring Thickness (t) & Spring Angular Deflection (θ_s) and hit the calculate button.

FAQs on Youngs Modulus of Flat Spring

What is the formula to find Youngs Modulus of Flat Spring?

The formula of Youngs Modulus of Flat Spring is expressed as Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection). Here is an example- 994.4399 = (12*34*0.25)/(1.68*0.45^3*0.67).

How to calculate Youngs Modulus of Flat Spring?

With Controlling Torque (T_c), Spring Length (l), Spring Width (b), Spring Thickness (t) & Spring Angular Deflection (θ_s) we can find Youngs Modulus of Flat Spring using the formula - Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection).

Can the Youngs Modulus of Flat Spring be negative?

No, the Youngs Modulus of Flat Spring, measured in Pressure cannot be negative.

Which unit is used to measure Youngs Modulus of Flat Spring?

Youngs Modulus of Flat Spring is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Youngs Modulus of Flat Spring can be measured.

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Youngs Modulus of Flat Spring Formula

Youngs Modulus of Flat Spring Example

Youngs Modulus of Flat Spring Solution

Youngs Modulus of Flat Spring Formula Elements

Other formulas in Instrument Characteristics category

How to Evaluate Youngs Modulus of Flat Spring?

FAQs on Youngs Modulus of Flat Spring

Variable Name