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Hooke's Law Calculator

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Stress and Strain Strain Stress

✖Load is the instantaneous load applied perpendicular to the specimen cross-section.ⓘ Load [W_load]			+10% -10%
✖The Elongation is change in length of the material or element due to subjected load.ⓘ Elongation [∆]			+10% -10%
✖Area of Base is the total area of footing, used in calculating stress for a particular structure.ⓘ Area of Base [A_Base]			+10% -10%
✖Initial Length refers to the original length of a material or component before it undergoes any form of deformation due to applied stress or strain.ⓘ Initial Length [l₀]			+10% -10%

✖Young's Modulus from Hook's Law is the calculation of Elastic modulus using the Hook's law.ⓘ Hooke's Law [E_h]

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Hooke's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length)
E_h = (W_load*∆)/(A_Base*l₀)
This formula uses 5 Variables

Variables Used

Young's Modulus from Hook's Law - (Measured in Pascal) - Young's Modulus from Hook's Law is the calculation of Elastic modulus using the Hook's law.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross-section.
Elongation - (Measured in Meter) - The Elongation is change in length of the material or element due to subjected load.
Area of Base - (Measured in Square Meter) - Area of Base is the total area of footing, used in calculating stress for a particular structure.
Initial Length - (Measured in Meter) - Initial Length refers to the original length of a material or component before it undergoes any form of deformation due to applied stress or strain.

STEP 1: Convert Input(s) to Base Unit

Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Elongation: 2250 Millimeter --> 2.25 Meter (Check conversion here)
Area of Base: 10 Square Meter --> 10 Square Meter No Conversion Required
Initial Length: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_h = (W_load*∆)/(A_Base*l₀) --> (3600*2.25)/(10*7)

Evaluating ... ...

E_h = 115.714285714286

STEP 3: Convert Result to Output's Unit

115.714285714286 Pascal --> No Conversion Required

FINAL ANSWER

115.714285714286 ≈ 115.7143 Pascal <-- Young's Modulus from Hook's Law

(Calculation completed in 00.004 seconds)

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< Stress and Strain Calculators

Elongation Circular Tapered Bar

LaTeX Go Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Moment of Inertia for Hollow Circular Shaft

LaTeX Go Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Elongation of Prismatic Bar due to its Own Weight

LaTeX Go Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus)

Moment of Inertia about Polar Axis

LaTeX Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Hooke's Law Formula

LaTeX Go

Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length)
E_h = (W_load*∆)/(A_Base*l₀)

What is Young's Modulus?

Young modulus or the modulus of elasticity in tension, is a mechanical property that measures the tensile stiffness of a solid material.

How to Calculate Hooke's Law?

Hooke's Law calculator uses Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length) to calculate the Young's Modulus from Hook's Law, The Hooke's Law formula is defined as a measure of the stress and strain of a material, describing the relationship between the force applied and the resulting deformation, providing a fundamental understanding of the material's elastic properties and behavior under different loads. Young's Modulus from Hook's Law is denoted by E_h symbol.

How to calculate Hooke's Law using this online calculator? To use this online calculator for Hooke's Law, enter Load (W_load), Elongation (∆), Area of Base (A_Base) & Initial Length (l₀) and hit the calculate button. Here is how the Hooke's Law calculation can be explained with given input values -> 115.7143 = (3600*2.25)/(10*7).

FAQ

What is Hooke's Law?

The Hooke's Law formula is defined as a measure of the stress and strain of a material, describing the relationship between the force applied and the resulting deformation, providing a fundamental understanding of the material's elastic properties and behavior under different loads and is represented as E_h = (W_load*∆)/(A_Base*l₀) or Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length). Load is the instantaneous load applied perpendicular to the specimen cross-section, The Elongation is change in length of the material or element due to subjected load, Area of Base is the total area of footing, used in calculating stress for a particular structure & Initial Length refers to the original length of a material or component before it undergoes any form of deformation due to applied stress or strain.

How to calculate Hooke's Law?

The Hooke's Law formula is defined as a measure of the stress and strain of a material, describing the relationship between the force applied and the resulting deformation, providing a fundamental understanding of the material's elastic properties and behavior under different loads is calculated using Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length). To calculate Hooke's Law, you need Load (W_load), Elongation (∆), Area of Base (A_Base) & Initial Length (l₀). With our tool, you need to enter the respective value for Load, Elongation, Area of Base & Initial Length 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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