Youngs Modulus of Flat Spring Calculator

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✖Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.ⓘ Controlling Torque [T_c]			+10% -10%
✖Spring Length refers to the various lengths a spring can have under different conditions and forces.ⓘ Spring Length [l]			+10% -10%
✖Spring Width refers to the dimension of a spring measured perpendicular to its length or axis.ⓘ Spring Width [b]			+10% -10%
✖Spring Thickness refers to the measurement of the diameter or cross-sectional dimension of a spring material used in various mechanical applications.ⓘ Spring Thickness [t]			+10% -10%
✖Spring Angular Deflection is defined as how a spring responds when force is applied or released.ⓘ Spring Angular Deflection [θ_s]			+10% -10%

✖Youngs Modulus is a fundamental material property that measures the stiffness of a solid material.ⓘ Youngs Modulus of Flat Spring [E]

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Formula

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Youngs Modulus of Flat Spring

Formula

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

Example

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

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Youngs Modulus of Flat Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection)
E = (12*T_c*l)/(b*t^3*θ_s)
This formula uses 6 Variables

Variables Used

Youngs Modulus - (Measured in Pascal) - Youngs Modulus is a fundamental material property that measures the stiffness of a solid material.
Controlling Torque - (Measured in Newton Meter) - Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.
Spring Length - (Measured in Meter) - Spring Length refers to the various lengths a spring can have under different conditions and forces.
Spring Width - (Measured in Meter) - Spring Width refers to the dimension of a spring measured perpendicular to its length or axis.
Spring Thickness - (Measured in Meter) - Spring Thickness refers to the measurement of the diameter or cross-sectional dimension of a spring material used in various mechanical applications.
Spring Angular Deflection - (Measured in Radian) - Spring Angular Deflection is defined as how a spring responds when force is applied or released.

STEP 1: Convert Input(s) to Base Unit

Controlling Torque: 34 Newton Meter --> 34 Newton Meter No Conversion Required
Spring Length: 0.25 Meter --> 0.25 Meter No Conversion Required
Spring Width: 1.68 Meter --> 1.68 Meter No Conversion Required
Spring Thickness: 0.45 Meter --> 0.45 Meter No Conversion Required
Spring Angular Deflection: 0.67 Radian --> 0.67 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (12*T_c*l)/(b*t^3*θ_s) --> (12*34*0.25)/(1.68*0.45^3*0.67)

Evaluating ... ...

E = 994.43991096838

STEP 3: Convert Result to Output's Unit

994.43991096838 Pascal --> No Conversion Required

FINAL ANSWER

994.43991096838 ≈ 994.4399 Pascal <-- Youngs Modulus

(Calculation completed in 00.004 seconds)

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Youngs Modulus of Flat Spring Formula

Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection)
E = (12*T_c*l)/(b*t^3*θ_s)

What is the spring constant k?

The letter k represents the “spring constant,” a number that essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.

How to Calculate Youngs Modulus of Flat Spring?

Youngs Modulus of Flat Spring calculator uses Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection) to calculate 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 calculate Youngs Modulus of Flat Spring using this online calculator? To use this online calculator 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. Here is how the Youngs Modulus of Flat Spring calculation can be explained with given input values -> 994.4399 = (12*34*0.25)/(1.68*0.45^3*0.67).

FAQ

What is Youngs Modulus of Flat Spring?

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 and is represented as E = (12*T_c*l)/(b*t^3*θ_s) or Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection). Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes, Spring Length refers to the various lengths a spring can have under different conditions and forces, Spring Width refers to the dimension of a spring measured perpendicular to its length or axis, Spring Thickness refers to the measurement of the diameter or cross-sectional dimension of a spring material used in various mechanical applications & Spring Angular Deflection is defined as how a spring responds when force is applied or released.

How to calculate Youngs Modulus of Flat Spring?

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 is calculated using Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection). To calculate Youngs Modulus of Flat Spring, you need Controlling Torque (T_c), Spring Length (l), Spring Width (b), Spring Thickness (t) & Spring Angular Deflection (θ_s). With our tool, you need to enter the respective value for Controlling Torque, Spring Length, Spring Width, Spring Thickness & Spring Angular Deflection and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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