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" Properties of Areas If a body remains in equilibrium under a system of forces, the following conditions obtain: 1 The algebraic sum of the components of the forces in any given direction is zero. 2 The algebraic sum of the moments of the forces with respect... "
Elements of Mechanics - Seite 60
von William Guy Peck - 1866
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Questions and Exercises on Stewart's Lessons in Elementary Physics

George Anthony Hill - 1880 - 204 Seiten
...along any two rectangular axes in the same plane as the forces, must each be equal to zero. 2°. The algebraic sum. of the moments of the forces with respect to any point in the plane of the forces must be equal to zero. 253. At what point of a tree must a rope of...
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A Treatise on Civil Engineering

William Macfarland Patton - 1895 - 1864 Seiten
...shall be equal to zero. The third condition is in the same as the preceding paragraph, viz., that the algebraic sum of the moments of the forces with respect to any axis perpendicular to the plane of the forces shall be equal to zero. The resultant of a system of...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1902 - 1204 Seiten
...of the forces in the direction of any three rectangular axes must be separately equal to 0. a. The algebraic sum of the moments of the forces, with respect...three rectangular axes, must be separately equal to 0. If the forces lie in a plane : 1. The algebraic sum of the components of the forces, in the direction...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1907 - 1206 Seiten
...of the forces, in the direction of any two rectangular axes, must be separately equal to 0. . Z. The algebraic sum of the moments of the forces, with respect to any point in the plane, must be equal to 0. If a body is restrained by a fixed axis, as in case of a pulley,...
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Strength and Elasticity of Structural Members

R. J. Woods - 1903 - 336 Seiten
...of the horizontal components ; 2 ( F) is the algebraic sum of the vertical components ; S (M) is the algebraic sum of the moments of the forces with respect to any axis. The stresses can be determined by the solution of these three equations, if not more than three...
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Graphical Determination of Earth Slopes, Retaining Walls and Dams

Charles Prelini - 1908 - 162 Seiten
...parallel to AD, as well as the sum of those perpendicular to AD, must be equal to zero; and (2) the algebraic sum of the moments of the forces with respect to any point must be equal to zero. That is, ^3 - X2-R = 0, (1) JV8 + Nt-N=0, (2) Pp-Qq=0, (3) where w, p,...
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Applied Mechanics, Band 1

Charles Edward Fuller, William Atkinson Johnston - 1913 - 414 Seiten
...= 0 and ZFx >< 0. In this case the resultant of the system is a couple whose moment is 2Fx, and the algebraic sum of the moments of the forces with respect to any point in their plane is the same as that with respect to any other point. CASE III. — When 2F = 0...
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A Text-book on Mechanics

William Brandon Gordon - 1914 - 296 Seiten
...Eqs. (9). 25. Equilibrium of Moments. (See Art. 8.) d. When a system of forces is in equilibrium the algebraic sum of the moments of the forces with respect to any axis is zero. This is a necessary consequence of the definition of equilibrium and of condition c,...
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Kent's Mechanical Engineers' Handbook, Band 1

William Kent - 1923 - 1450 Seiten
...algebraic sum of the components i the direction of any three rectangular axes must separately equal algebraic sum of the moments of the forces, with respect to any ilar axes, must separately equal zero. îa He in a plane: 1. The algebraic sum of the components of...
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