Finite Element Analysis by Mike Fagan

By Mike Fagan

This article treats the basic rules of the tactic in an easy, logical demeanour, putting the emphasis at the functional purposes of the tactic in these parts the place it truly is most ordinarily used, and so allowing the coed to advance a valid realizing of the topic. utilizing uncomplicated, comprehensible arithmetic, sponsored up by way of sensible modelling info and labored examples, the writer explains the speculation after which introduces the reader to the extra complex purposes and amenities provided via advertisement finite programs.

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If the mass of this solid is 600 grams (g) then, by proportion, 1 cm3 has a mass of 600 g/60 cm3 ϭ 10 gram per cm3 (10 g/cm3) Since 1 cm3 is unit volume in this instance, then the mass per unit volume of the solid shown is 10 g/cm3. Mass per unit volume of any body is also called the density of that body. The symbol for density is the Greek letter ‘rho’ (␳). 1. 6 Weight per unit volume The weight per unit volume of a substance can be determined by: (a) direct measurement, (b) conversion calculation from the density of the substance.

When added together to obtain the vector length of the resultant force (FR), this becomes a single vector of 4 cm ϩ 5 cm ϭ 9 cm long representing a force of 45 N acting at the point P. Had the forces been acting in opposite directions along the same line of action, then the resultant force (FR) could have been determined by simply subtracting the vector length for F1 from the vector length for F2 as shown in Fig. 2(c). 2 Parallelogram of forces When two or more forces whose lines of action lie at an angle to each other act on a single point P, their resultant force cannot be determined by simple arithmetical addition or subtraction.

The line of action of the force. The direction in which the force is acting. The direction in which the force is acting is shown by the arrowhead. This can be at the end of the vector or at the midpoint of the vector, whichever is the more convenient. 81 N due to the gravitational attraction of planet Earth. Since planet Earth is not a perfect sphere a mass of 1 kg will weigh slightly more at the poles and slightly less at the equator. 81 N on planet Earth: ● ● ● ● ● The force of gravity attracts the mass of any body (solid, liquid or gas) towards the centre of planet Earth.

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