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# Chapter 12 Equilibrium and Elasticity

## Static Equilibrium - I

A rigid body is said to be in dynamic equilibrium when both its linear and angular acceleration are zero, relative to an inertial frame of reference.…

## Static Equilibrium - II

Static equilibrium is a special case in mechanics that is very important in everyday life. It occurs when the net force and the net torque on an…

## Center of Gravity

The center of gravity (COG) of an object is the point where the object's total weight is considered to be concentrated. Knowing the location of…

## Finding the Center of Gravity

The center of gravity of a body is an imaginary point where the body's total weight is assumed to be concentrated, and the body is perfectly…

## Rigid Body Equilibrium Problems - I

A rigid body is said to be in static equilibrium when the net force and the net torque acting on the system is equal to zero. To solve for rigid body…

## Rigid Body Equilibrium Problems - II

A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero. Consider two children sitting on…

## Stress

When a force is applied on a body, it undergoes deformation. In order to restore the body to its original shape and/or size, an opposite or restoring…

## Strain and Elastic Modulus

The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length,…

## Problem Solving on Stress and Strain

Stress is a quantity that describes the magnitude of a force that causes deformation, generally defined as internal force per unit area. When forces…

## Indeterminate Structure

Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static…

## Elasticity

Elasticity is the ability of an object to withstand the effects of distortion and to return to its original size and shape once the forces causing…

## Plasticity

Plasticity is the property where an object loses its elasticity and undergoes irreversible deformation, even after the deformation forces are…

## Micro 3D Printing Using a Digital Projector and its Application in the Study of Soft Materials Mechanics

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Buckling is a classical topic in mechanics. While buckling has long been studied as one of the major structural failure modes1, it has recently drawn…

## Studying Large Amplitude Oscillatory Shear Response of Soft Materials

We investigate the sequence of physical processes exhibited during large amplitude oscillatory shearing (LAOS) of polyethylene oxide (PEO) in…

## A Fabrication Method for Highly Stretchable Conductors with Silver Nanowires

Stretchable electronics are identified as a key technology for electronic applications in the next generation. One of the challenges in fabrication…

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