**Hooke’s law** also referred to as the **law** of elasticity was discovered by an English scientist named Robert **Hooke** in the year 1660. **Hooke’s law** basically states that “when an object has a relatively small **deformation** the size of the **deformation** is directly proportional to the deforming load or force.”. Besides, **Hooke’s law** is a great

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Hooke’s law states that** the strain of the material is proportional to the applied stress within the elastic limit of that material.** When the elastic materials are stretched, the atoms and molecules deform until stress is applied, and when the stress is removed, they return to their initial state. Mathematically, Hooke’s law is expressed as:

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Hooke’s law states that for a small amount of deformation of an object, the amount of** deformation** is** directly proportional to the deforming force or load.** The deforming load can be an extension, compression, bending, stretching, squeezing, etc. Hooke’s law works well only when the object is in the elastic zone.

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When stress and strain were covered in Newton’s Third **Law** of Motion, the name was given to this relationship between force and displacement was **Hooke’s law**: (16.1.1) F = − k x. Here, F is the restoring force, x is the displacement from equilibrium or **deformation**, and k is a constant **related** to the difficulty in deforming the system.

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**Hooke’s law** in terms of stress and strain **is** stress strain In terms of the definitions L L Y A F The constant of proportionality is called the elastic modulus or Young’s modulus. If has the same units as stress. Y is a property of the material used. **Hooke’s law** holds up to a maximum stress called the proportional limit.

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**2.1.1** The **Hooke**'s **law**. The cantilever is the most common sensor of the force interaction in atomic force microscopy. The atomic force microscope acquires any information about a surface because of the cantilever beam mechanical deflections which are detected by an optical system.

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The **linear** relationship between stress and strain applies for where: E is the Young's Modulus n is the Poisson Ratio The generalized **Hooke**'s **Law** also reveals that strain can exist without stress. For example, if the member is experiencing a load in the y-direction (which in turn causes a stress in the y-direction), the **Hooke**'s **Law** shows that strain

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(recoil) increases. In this way, **Hooke’s Law** could be used to help explain length-tension relationships of the heart (Star-ling’s **Law**) as well as elastic recoil of the lungs and arteries. METHODS We developed a simple, inexpensive, and easy to build model to demonstrate **Hooke’s Law** (Fig. 1) and to simulate these relationships.

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A simple model for how this** thermal** strain ϵ t h varies with the change in temperature Δ T is. (1)** ϵ t h** = α Δ T. where α [1/ ∘ C] is a material parameter called the coefficient of thermal expansion. During a combination of mechanical and thermal load (change in temperature), we obtain the total (observable) strain as the sum of

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Hooke’s Law is a principle of physics that states that** the force needed to extend or compress a spring by some distance is proportional to that distance.** The law is named after 17th century British physicist Robert Hooke, who sought to demonstrate the relationship between the forces applied to a spring and its elasticity.

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Hooke’s Law is a physical principle discovered by Robert Hooke in 1660. It states that the extension of** a spring is directly proportional to the force applied.** therefore if you double the force, the extension will also double. The image below illustrates this principle. figure 1.

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Also there is another way of representing **Hooke’s law** (in terms of the Stress and Strain) , where we can transform the (Equation.1.) into a relationship between the stress and strain. Stress = Modulus * Strain (Equation.2.). Stress: is the force applied per unit area ( units in N/m 2 ) . Strain: is a measure of **deformation** or change in a material , it has no units since it is a ratio between

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"I am aware of the requirements of good academic practice and the potential penalties for any breaches" Introduction **Hooke**'s **law**, also known as the **law** of elasticity, was discovered in 1660 by Robert **Hooke**. He states that the **deformation** of an object is directly proportional to the force that is applied to the object. Robert…

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Generalized **Hooke’s Law** 3D Mohr’s Circle: As discussed in the previous lecture, it is important not to lose sight that the material element is a three-dimensional body and we have only been considering a two-dimensional view of it. It some engineering texts, the maximum shear stress determined by viewing the

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In the elastic deformation range of materials the methods of calculating the material stresses from the measured strains are based on Hooke's Law. In its simplest form Hooke's Law is:** σ= ε ⋅ Ε σ= material stress [N/mm 2 ] ε= strain [m/m] Ε=** modulus of elasticity, i.e. Young’s modulus [N/mm 2 ]

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Intro to springs and **Hooke**'s **law**. Potential energy stored in a spring. Up Next. Potential energy stored in a spring. Our mission is to provide a **free**, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. Donate or volunteer today! Site Navigation. About. News; Impact;

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An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean . Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces.

Deformation in an elastic object increases linearly with the force. In fact, a vast majority of materials obey Hooke's law for at least a part of the range of their deformation behaviour. (e.g. glass rods, metal wires).

Explained more clearly by Hooke’s Law, this restoring force is said to be proportional to the “stretch” that is experienced. Hooke’s law can be usually taken as a first-order linear approximation only to the response that springs and other elastic bodies offer when force is applied. The law will eventually fail after certain conditions.

Hooke’s law can be applied to all materials which come back to original shape upon withdrawal of the load. It is applicable to all materials which follow the linearity of stress and strain in the elastic limit. Any object made of steel or aluminum or any other metals that follows the stress-strain linearity in the elastic zone uses Hooke’s law.