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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%
✖Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).ⓘ Elongation [δl]			+10% -10%
✖Area of Base is the total area of footing.ⓘ Area of Base [A_Base]			+10% -10%
✖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.ⓘ Initial Length [l₀]			+10% -10%

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Hooke's Law [E]

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Formula

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Hooke's Law

Formula

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

Example

1.028571 N/m = \frac{3.6 kN \cdot 0.020 m}{10 m² \cdot 7 m}

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Hooke's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)
E = (W_load*δl)/(A_Base*l₀)
This formula uses 5 Variables

Variables Used

Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross section.
Elongation - (Measured in Meter) - Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).
Area of Base - (Measured in Square Meter) - Area of Base is the total area of footing.
Initial Length - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Elongation: 0.02 Meter --> 0.02 Meter No Conversion Required
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 = (W_load*δl)/(A_Base*l₀) --> (3600*0.02)/(10*7)

Evaluating ... ...

E = 1.02857142857143

STEP 3: Convert Result to Output's Unit

1.02857142857143 Newton per Meter --> No Conversion Required

FINAL ANSWER

1.02857142857143 ≈ 1.028571 Newton per Meter <-- Young's Modulus

(Calculation completed in 00.004 seconds)

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< Stress and Strain Calculators

Elongation Circular Tapered Bar

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

Moment of Inertia for Hollow Circular Shaft

Go Polar Moment of Inertia = 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

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

Moment of Inertia about Polar Axis

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

Hooke's Law Formula

Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)
E = (W_load*δl)/(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 = (Load*Elongation)/(Area of Base*Initial Length) to calculate the Young's Modulus, The Hooke's law states that stress is directly proportional to strain within the elastic limit of that material. Young's Modulus is denoted by E 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 (δl), 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 -> 1.028571 = (3600*0.02)/(10*7).

FAQ

What is Hooke's Law?

The Hooke's law states that stress is directly proportional to strain within the elastic limit of that material and is represented as E = (W_load*δl)/(A_Base*l₀) or Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length). Load is the instantaneous load applied perpendicular to the specimen cross section, Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest), Area of Base is the total area of footing & 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.

How to calculate Hooke's Law?

The Hooke's law states that stress is directly proportional to strain within the elastic limit of that material is calculated using Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length). To calculate Hooke's Law, you need Load (W_load), Elongation (δl), 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.

How many ways are there to calculate Young's Modulus?

In this formula, Young's Modulus uses Load, Elongation, Area of Base & Initial Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

Young's Modulus = Stress/Strain

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