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Hooke's Law Formula

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Young's Modulus from Hook's Law is the calculation of Elastic modulus using the Hook's law. Check FAQs

E h = \frac{W load \cdot ∆}{A Base \cdot l 0}

E_h - Young's Modulus from Hook's Law?W_load - Load?∆ - Elongation?A_Base - Area of Base?l₀ - Initial Length?

Hooke's Law Example

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Here is how the Hooke's Law equation looks like with Values.

Here is how the Hooke's Law equation looks like with Units.

Here is how the Hooke's Law equation looks like.

115.7143 = \frac{3.6 \cdot 2250}{10 \cdot 7}

115.7143Pa = \frac{3.6kN \cdot 2250mm}{10m² \cdot 7m}

115.7143 = \frac{3.6 \cdot 2250}{10 \cdot 7}

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Hooke's Law Solution

Follow our step by step solution on how to calculate Hooke's Law?

FIRST Step Consider the formula

E h = \frac{W load \cdot ∆}{A Base \cdot l 0}

Next Step Substitute values of Variables

∴

E h = \frac{3.6kN \cdot 2250mm}{10m² \cdot 7m}

Next Step Convert Units

∴

E h = \frac{3600N \cdot 2.25m}{10m² \cdot 7m}

Next Step Prepare to Evaluate

∴

E h = \frac{3600 \cdot 2.25}{10 \cdot 7}

Next Step Evaluate

∴

E h = 115.714285714286Pa

LAST Step Rounding Answer

∴

E h = 115.7143Pa

Hooke's Law Formula Elements

Variables

Young's Modulus from Hook's Law

Young's Modulus from Hook's Law is the calculation of Elastic modulus using the Hook's law.

Symbol: E_h

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Young's Modulus from Hook's Law

Load

Load is the instantaneous load applied perpendicular to the specimen cross-section.

Symbol: W_load

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Load

Elongation

The Elongation is change in length of the material or element due to subjected load.

Symbol: ∆

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Elongation

Area of Base

Area of Base is the total area of footing, used in calculating stress for a particular structure.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Base

Initial Length

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.

Symbol: l₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length

Other formulas in Stress and Strain category

Go Elongation Circular Tapered Bar

Δ c = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Go Moment of Inertia for Hollow Circular Shaft

J h = \frac{π}{32} \cdot ({d ho}^{4} - {d hi}^{4})

Go Moment of Inertia about Polar Axis

J = \frac{π \cdot {d s}^{4}}{32}

Go Elongation of Prismatic Bar due to its Own Weight

Δ p = \frac{W load \cdot L bar}{2 \cdot A \cdot e}

How to Evaluate Hooke's Law?

Hooke's Law evaluator uses Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length) to evaluate 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 evaluate Hooke's Law using this online evaluator? To use this online evaluator for Hooke's Law, enter Load (W_load), Elongation (∆), Area of Base (A_Base) & Initial Length (l₀) and hit the calculate button.

FAQs on Hooke's Law

What is the formula to find Hooke's Law?

The formula of Hooke's Law is expressed as Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length). Here is an example- 115.7143 = (3600*2.25)/(10*7).

How to calculate Hooke's Law?

With Load (W_load), Elongation (∆), Area of Base (A_Base) & Initial Length (l₀) we can find Hooke's Law using the formula - Young's Modulus from Hook's Law = (Load*Elongation)/(Area of Base*Initial Length).

Can the Hooke's Law be negative?

No, the Hooke's Law, measured in Stress cannot be negative.

Which unit is used to measure Hooke's Law?

Hooke's Law is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Hooke's Law can be measured.

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Hooke's Law Formula

Hooke's Law Example

Hooke's Law Solution

Hooke's Law Formula Elements

Other formulas in Stress and Strain category

How to Evaluate Hooke's Law?

FAQs on Hooke's Law

Variable Name