Engineering Mechanics-Statics PRITHVI C 1 Department of Mechanical Engineering, PESIT 1. INTRODUCTION TO STATICS Engineering is the application of mathematics and science to meet human needs. This is fun. But now we have some bad news. Engineers need to know a great deal of science and mathematics in order to be able to engineer. Much of this science and mathematics is quite difficult, and there’s a whole lot of it. It takes many years to learn everything you need. The next section of the course will start you on your quest to acquire these skills, by introducing you to statics . Mechanics is one of the oldest sciences. Earliest recorded writings in mechanics are those of Archimedes (287-212 B.C.) on the principle of lever and the principle of buoyancy. First investigation of a dynamic problem is credited to Galelio (1564-1642) for his experiments with falling stones. Year in which Galileo died Newton was born. Newton (1642-1727) is famous for his three laws of motion. On his name, a portion of classical mechanics is called Newtonian Mechanics. Alternate formulation for mechanics problems was provided by Lagrange (1736-1813) and Hamilton (1805-1865). Their formulation is based on the concept of energy. Mechanics is the physical science which deals with the effects of forces on objects. MECHANICS What is statics? Statics is actually the application of mathematics and basic physics (Newton’s laws) to study forces in materials, machines and structures. Forces are of interest to engineers for two reasons: they cause materials to deform and break, and they cause things to move. Statics is used to calculate forces in systems that don’t move, or move at constant velocity . Who needs statics? • Structural engineers use statics to design buildings and structures.
Engineering Mechanics-Statics PRITHVI C 2 Department of Mechanical Engineering, PESIT • Mechanical engineers use statics to design machinery, which may range from engines to micro-electro-mechanical systems. • Biomedical engineers use statics to design artificial organs and implants. • Materials engineers use statics to design microstructures in materials (like composites) to resist failure. • Electrical engineers who design solid state electronics use statics to design against failure in microelectronic circuits. Integrated circuits actually contain internal forces that are much higher than most structures. These forces are usually caused by thermal expansion, or exotic phenomena such as electromigration. Mechanical failures in these devices are a serious problem for the industry. • Emerging areas Scientists and engineers have recently developed techniques that can be used to probe and to some extent control individual atoms or collections of atoms. There is great interest in exploiting these techniques to make self-assembled materials and nanostructures. Such self-assembly is driven by forces – and very often can be understood using statics. Some fundamental Definitions
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