General Procedure for Analysis
Attending a lecture, and studying the example problems helps, but the most effective
way of learning the principles of engineering mechanics is to solve problems. To be
successful at this, as suggested by the following sequence of steps:
Read the problem carefully and try to correlate the actual physical situation with the theory studied.
Tabulate the problem data and draw to a large scale any necessary diagrams.
Apply the relevant principles, generally in mathematical form. When writing any equations, be sure they are dimensionally homogeneous.
Solve the necessary equations, and report the answer with no more than three significant figures.
Study the answer with technical judgment and common sense to determine whether or not it seems reasonable.
Important Points
Statics is the study of bodies that are at rest or move with constant velocity.
A particle has a mass but a size that can be neglected, and a rigid body does not deform under load.
Concentrated forces are assumed to act at a point on a body.
Newton’s three laws of motion should be memorized.
Mass is measure of a quantity of matter that does not change from one location to another. Weight refers to the gravitational attraction of the earth on a body or quantity of mass. Its magnitude depends upon the elevation at which the mass is located.
In the SI system the unit of force, the new ton is a derived unit. The meter, second, and kilogram are base units.
Prefixes G, M, k, µ, and n are used to represent large and small numerical quantities. Their exponential size should be known, along with the rules for using the SI units.
Perform numerical calculations of an equation can be checked in part by verifying that the equation remains dimensionally homogeneous.
Know the rules for rounding off numbers.
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