Lecture 1

# Lecture 1 - LECTURE 1 FUNDEMENTAL OF STATICS Mechanics It...

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1 LECTURE 1 FUNDEMENTAL OF STATICS Mechanics It is a branch of the physical sciences that deals with the response of the bodies to the action of forces. The study of mechanics is divided into three categories: The mechanics of rigid bodies: statics, kinematics and kinetics The mechanics of deformable bodies The mechanics of fluids Statics is concerned with bodies that are acted on by balanced forces and hence are at rest or have uniform motion. This is said to be in equilibrium, in which the relative position of subsystem do not vary over time or the components and structures are at rest under the action of external forces of equilibrium. It provides methods for the determination of support reactions and relationships between internal force distributions and external loads for stationary structures. In other words, it is how forces are transmitted through the members in an object such as a bridge structure on which a truck is pulled over, the deformed girder, to where it is supported from, the columns and the piers. Kinematics is concerned with the motion of bodies w/o considering the manner in which the motion is produced, also called geometry of motion. It does not describe the masses or vectors that bring out the motion. It involves only motions of parts of a machine. A simple example is

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2 the application to point particle motion in space of a point along a trajectory. This path can be linear, or curved as seen with projectile motion. Kinetics is concerned with bodies that are acted on by unbalanced forces, for which they have nonuniform or accelerated motions. It provides relationships between the motion of a body and the forces and moments acting on the body. A combination of kinematics and kinetics is the dynamics , which concerns with the motion of bodies with the space-time relationship under a motion resulting from the action of given forces. A simple example of dynamics is the motion of a water tower under a given ground motion. Mechanics of deformable bodies deals with internal force distributions and the deformations developed in actual engineering structures and machine components subject to system of forces. It is the major concern of Mechanics of materials. Fluid mechanics deals with liquids and gases at rest or in motion.
3 Historical review on Statics Archytas (428–347 BC), of Tarentum, the founder of mathematical mechanics, found the theory of Pulleys. He was famous for being a good friend of Plato. He invented Pigeon , the first artificial, self-propelled flying device, a bird-shaped model propelled by a jet of what was probably steam, said to have actually flown some 200 meters (656 ft.). Archimedes (287–212 BC) of Syracuse, a Greek mathematician, physicist, engineer, inventor, and astronomer, showed his understanding on the equilibrium conditions required by a level and principle of buoyancy.

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Lecture 1 - LECTURE 1 FUNDEMENTAL OF STATICS Mechanics It...

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