Analytical Mechanics for Engineers by F. Seely, N. Ensign [non-OCR]

By F. Seely, N. Ensign [non-OCR]

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B points C and two forces which -are may or not of the given each D of the introduce of opposite sense parallel to the forces of the given couple and P equal to them in magnitude. The force P at A and the upward force P at D may be replaced by their resultant. This resultant is an upward force, 2P, the action line of which is parallel to the ac- tion lines of the forces the given couple and ed half Hence the action is of locat- way between them. through 0, the point of intersection of the diagonals of the parallelogram.

In the following equation, T is the moment of a force, S is a force per unit of area in pounds per square inch, h, h are lengths in 6, and b inches. Is the equation dimensionally correct? What are the units of T? , 2 1 = - o/A-ftoX ~ , CHAPTER II RESULTANTS OF FORCE SYSTEMS 20. Introduction. The determination of the resultants of various force systems as discussed in this chapter is of importance, mainly, (1) in the study of the conditions which the forces of a system satisfy when they hold a body in equilibrium (Statics, Chapter III), and (2) in the study of the laws by which the motions of bodies are governed (Part III, Kinetics).

Force 150 ib. force forces I force. / -50 ib. and replace this 100-lb and the two 1 50-lb. by an equivalent single 19. Methods of Solution of Problems. ISP ib. A Igebraic and Graphical Methods. > analysis In the and solution of mechanics two problems methods general may be in 501b% used, namely, the algebraic FIG. 26. and the graphical methods. In the algebraic method of solution, quantities are represented by letters or by numbers which are dealt with according to In the graphical method of soluare quantities represented by lines which are dealt with tion, of constructions.

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