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Hooke's Law Formula

GoElastic Modulus Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

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

E - Young's Modulus?W_load - Load?δl - 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.

1.0286 = \frac{3.6 \cdot 0.02}{10 \cdot 7}

1.0286Pa = \frac{3.6kN \cdot 0.02m}{10m² \cdot 7m}

1.0286 = \frac{3.6 \cdot 0.02}{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 = \frac{W load \cdot δl}{A Base \cdot l 0}

Next Step Substitute values of Variables

∴

E = \frac{3.6kN \cdot 0.02m}{10m² \cdot 7m}

Next Step Convert Units

∴

E = \frac{3600N \cdot 0.02m}{10m² \cdot 7m}

Next Step Prepare to Evaluate

∴

E = \frac{3600 \cdot 0.02}{10 \cdot 7}

Next Step Evaluate

∴

E = 1.02857142857143Pa

LAST Step Rounding Answer

∴

E = 1.0286Pa

Hooke's Law Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Young's Modulus

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

Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).

Symbol: δl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

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 or Actual Length of a curve which undergoing iteration or some elastic extension, is the length of the curve before all those changes.

Symbol: l₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length

Other Formulas to find Young's Modulus

Go Elastic Modulus

E = \frac{σ}{ε}

Other formulas in Stress and Strain category

Go Elongation Circular Tapered Bar

∆ = \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 = \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

∆ = \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, 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 is denoted by E 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 (δl), 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 (δl), 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).

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=Stress/Strain

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

​GoElastic Modulus Formula

Hooke's Law Example

Hooke's Law Solution

Hooke's Law Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Stress and Strain category

How to Evaluate Hooke's Law?

FAQs on Hooke's Law

Variable Name

GoElastic Modulus Formula