...at the walls due to those forces. Now, it is known that if any number of forces act on a point, and are in equilibrium, they may be represented in magnitude and direction by the sides of a polygon drawn parallel to the direction of those forces, taken in regular succession. Thus if А BCDE,...

...1,269 Ibs. 2,000 1,200 2,000 1,269 2,231 It is known that if any number of forces act on a point, and are in equilibrium, they may be represented in magnitude and direction by the sides of a polygon drawn parallel to the direction of these forces taken consecutively. Thus if A, B, C, D, E...

...a similar way it can be shown that if any number of forces, in the same plane, acting at a point, r are in equilibrium, they may be represented, in magnitude and direction, by the H sides of a polygon taken in- order. Thus let BC, BH, BF, BD, and BG be in equilibrium. By combining...

...triangle, as a, b, c, Fig. 123. Since the forces at C, Fig. 122, including the strains in the bars, are in equilibrium, they may be represented in magnitude and direction by the three sides of a triangle. In Fig. 123, draw the lines 1 and 2 from the extremities of P, , parallel...

...before. The forces P and Fare called component forces. 44. TRIANGLE OF FORCES. If three concurrent forces are in equilibrium, they may be represented in magnitude and direction by the sides of a triangle taken in their order ; and if the direction of action of one be reversed, it will be the resultant...

...strains on the corresponding parts in (1). 13U. This results from the well-known law of mechanics, that if a number of forces acting at a point are in equilibrium, then if we lay off the forces in order, " the polygon should close." Also, having given, at any apex,...

...The forces P and Fare called component forces. 44. TJRIANGLE OF FORCES. If three concurrent forces are in equilibrium, they may be represented in magnitude and direction by the sides of a triangle taken in their order ; and if the direction of action of one be reversed, it will be the resultant...

...Polygon of Forces. — In a similar way it can be shown that if any number of forces, in the same plane, acting at a point, are in equilibrium, they may be...represented, in magnitude and direction, by the sides of a polygon taken in order. Fo^ combining any two of the forces by the triangle of forces, say AB, BC (Fig....

...three forces act at the point A. The converse of this is also true ; viz., If three concurring forces are in equilibrium, they may be represented in magnitude and direction by the sides of a triangle, drawn parallel respectively to the directions of the forces. Thus, if AB and BC represent...

...all the same way round. 29. POLYGON OF FORCES. When more than three forces in one plane acting upon a point are in equilibrium they may be represented in magnitude and direction by lines forming a closed polygon. More fully defined in next paragraph. 30. FORCE POLYGON. When forces...