Chapter 12
Equilibrium and Elasticity
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 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…
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…
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…
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…
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…
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…
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,…
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 structures refer to structures where internal forces and reactions cannot be determined using only the equations of static…
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 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…
We investigate the sequence of physical processes exhibited during large amplitude oscillatory shearing (LAOS) of polyethylene oxide (PEO) in…
Stretchable electronics are identified as a key technology for electronic applications in the next generation. One of the challenges in fabrication…
