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. Structural and Stress Analysis - Page 26by T.H.G. Megson - 2005 - 744 pagesLimited preview - About this book
| Architecture - 1872
...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,... | |
| Henry Wray - 1872
...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... | |
| William James Browne - 1872
...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... | |
| De Volson Wood - Bridges - 1873 - 249 pages
...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... | |
| De Volson Wood - Mechanics, Analytic - 1876 - 472 pages
...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... | |
| Engineering - 1878
...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,... | |
| De Volson Wood - Mechanics, Analytic - 1882 - 249 pages
...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... | |
| William James Browne - Mechanics - 1883 - 200 pages
...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.... | |
| Edward Albert Bowser - Kinematics - 1884 - 511 pages
...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... | |
| Henry Adams - Mechanical engineering - 1891 - 263 pages
...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... | |
| |