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" 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 26
by T.H.G. Megson - 2005 - 744 pages
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Papers Read at the Royal Institute of British Architects

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,...
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Some applications of theory to the practice of construction; a part of the ...

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...
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Theoretical mechanics for junior students

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...
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Treatise on the Theory of the Construction of Bridges and Roofs ...

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...
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The Elements of Analytic Mechanics: Solids & Fluids

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...
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Van Nostrand's Engineering Magazine, Volume 19

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,...
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The Elements of Analytical Mechanics

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...
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Mechanics for junior students

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....
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An Elementary Treatise on Analytic Mechanics: With Numerous Examples

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...
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Handbook for Mechanical Engineers

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...
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