In this post, we will see and briefly compare the Stress-strain curves of Brittle material, ductile material & Elastomers. Stress-strain curve of Brittle material: The plastic region between E and C is small for brittle material and it will break soon after the elastic limit is crossed. (example: glass) Stress-strain curve of ductile material: The […]

# Elasticity_21

## Elastic Property of Matter – some definitions

In this post, we will present some important definitions related to the Elastic property of matter (from the Elasticity chapter). definitions related to the Elastic property of matter (or Elasticity chapter) (1) Elasticity: The property of matter by virtue of which a body tends to regain its original shape and size after the removal of […]

## Ductile and Brittle materials beyond elastic limit & their force-extension graph

Ductile materials can be formed into wires by stretching them. They show ductility. A brittle material is one that shows little, or no, plastic deformation before breaking. In this post, we will discuss (1) ductile material & ductility, (2) force-extension graph of ductile material like copper wire (3) Brittle material (4) force-extension graph of brittle […]

## Elastomer & Elasticity

While studying the Elasticity chapter in Physics, you might have come across the term Elastomer. In this post, we will briefly discuss it. Any rubbery material composed of long chainlike molecules, or polymers, that are capable of recovering their original shape after being stretched to great extents is named Elastomer, and this naming is done […]

## Young’s Modulus values of some Common Materials

In this post, Young’s Modulus values of some Common Materials are listed in a tabular form (figure 1) for reference. But before that, we have put a list of Young’s Modulus values we often need while solving worksheets or MCQs for class 11 & 12 physics (Elasticity chapter). Please note that these values are for […]

## Force constant k when Springs are in series and parallel

In this post, we will find more about spring constant or Force constant k and how to find out its value when Springs are in series and parallel. Spring constant or force constant k In Hooke’s law, we find a constant k which is known as force constant or stiffness constant. Robert Hooke discovered that […]

## 3 different formulas of Hooke’s Law

Often we find more than one expression or formula of Hooke’s law. Here we will find out those at the same place and discuss their uses and relevance. We have a very useful post on different types of stress, strain, and elasticity modulus, that you can go through along with this post. Hooke’s Law For […]

## Calculating the Energy stored in a deformed material

Here, we will see how the Load-extension graph of a body can help us to calculate the energy stored in a deformed material. We will take two Load-extension graphs for this. Energy stored in a deformed material that obeys Hooke’s law The first load-extension graph (figure 1a) belongs to a body that obeys Hooke’s law, […]

## Solving Numerical problem based on Young modulus

Let’s solve numerical problems based on the Young modulus formula. Young’s Modulus is the ratio of Longitudinal Stress and Longitudinal Strain. If it’s designated with Y then Y = Longitudinal Stress / Longitudinal Strain = (F/A)/( ΔL /L) = (FL)/(A ΔL ) Numerical Problem based on Young modulus with solution #1 Question A force of 250N […]

## Shape change by Forces & stretching a spring

Let’s discuss the application of forces to change the shape of an object and the concept of elasticity related to this shape change. We will cover the stretching of spring as a case study. If one force only is applied to an object then the object will change speed or direction. If we want to […]

## Renewable Energy Resources & Electricity Generation

Renewable Energy Resources are sources of energy that will never run out. Sources of renewable energy include solar, biofuels, wind, hydroelectric, tidal, wave, and geothermal. Renewable energy resources contribute far less to climate change than fossil fuels and hence these energy resources are becoming more widely used. Types of Renewable Energy Resources Renewable Energy Sources […]

## Extension-Load graph of Spring with Lab set-up and Analysis of the graph

The Extension-Load graph – How to prepare the Lab set-up required to do this graph plotting | interpret an extension-load graph of a spring

## How to interpret Stress-Strain Graph to do stress-strain analysis

In this post, we will discuss how to interpret Stress-Strain Graph to do a stress-strain analysis of a material. The definition of the Young modulus states that the stress should be proportional to the strain if the material is deformed elastically. As per this understanding, we should get a straight line graph if we plot […]

## Derive an expression for the potential energy of elastic stretched spring

Here we will obtain or derive an expression for the potential energy stored in the spring, also known as the elastic potential energy. To get this equation, we’ll calculate the work done to stretch or compress a spring that obeys Hooke’s law. Hooke’s law states that the magnitude of force F on the spring and the resulting deformation ΔL are proportional, F = kΔL, where k is a constant. We, therefore, derive the equation of the potential energy of a spring, also known as the elastic potential energy as follows: PE=(1/2)kx2 where k is the spring’s force constant and x is the displacement from its undeformed position.elastic potential energy represents the work done on the spring and the energy stored in it as a result of stretching or compressing it a distance x . The potential energy of the spring PEs does not depend on the path taken; it depends only on the stretch or squeeze x in the final configuration.

## Poisson’s ratio, Strain energy & Thermal Stress – expressions

Today we will briefly discuss a couple of very important terms and concepts from the elasticity chapter. Those are Poisson’s ratio, Strain energy, Thermal Stress, etc. We will also derive expressions for these. This post is the 3rd post of the Elasticity series. Already in our last 2 posts, we have discussed the meaning of […]

## Hooke’s Law – stress and strain – Modulus of Elasticity

In our last post, we have discussed Elasticity and Plasticity. Here we will continue with that discussion and gradually cover Hooke’s Law and Modulus of Elasticity. On the way, we will learn two more terms: stress and strain. Finally, we will cover (a) Young’s Modulus (2) Shear Modulus (3) Bulk modulus. So let’s start. Stress To understand Hooke’s […]

## Elasticity definition & what is more elastic-iron or rubber

What is elasticity? As we hear the word ‘elastic’, an image of a rubber band or a very fit & flexible dancer comes into our mind. In this post, we will first discuss “what is elasticity” or the definition of elasticity. We must have observed that to change or deform the shape or size of […]