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  2. Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Free_body_diagram

    Then the vector value of the resultant force would be determined by the missing edge of the polygon. [2] In the diagram, the forces P 1 to P 6 are applied to the point O. The polygon is constructed starting with P 1 and P 2 using the parallelogram of forces (vertex a). The process is repeated (adding P 3 yields the vertex b, etc.). The ...

  3. Graphic statics - Wikipedia

    en.wikipedia.org/wiki/Graphic_statics

    The polygon is constructed starting with P 1 and P 2 using the parallelogram of forces (vertex a). The process is repeated (adding P 3 yields the vertex b, etc.). The remaining edge of the polygon O-e represents the resultant force R. In the case of two applied forces, their sum (resultant force) can be found graphically using a parallelogram ...

  4. Funicular curve - Wikipedia

    en.wikipedia.org/wiki/Funicular_curve

    In graphic statics, a funicular polygon is a graphic method of finding out the line of action for a combination of forces applied to a solid body at different points, a complement to the force polygon used to obtain the value and direction of the resultant force. [4] Both polygons were introduced by Pierre Varignon (Nouvelle Mecanique ou ...

  5. Parallelogram of force - Wikipedia

    en.wikipedia.org/wiki/Parallelogram_of_force

    When more than two forces are involved, the geometry is no longer a parallelogram, but the same principles apply to a polygon of forces. The resultant force due to the application of a number of forces can be found geometrically by drawing arrows for each force. The parallelogram of forces is a graphical manifestation of the addition of vectors.

  6. Couple (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Couple_(mechanics)

    A single force acting at any point O′ of a rigid body can be replaced by an equal and parallel force F acting at any given point O and a couple with forces parallel to F whose moment is M = Fd, d being the separation of O and O′. Conversely, a couple and a force in the plane of the couple can be replaced by a single force, appropriately ...

  7. Talk:Free body diagram - Wikipedia

    en.wikipedia.org/wiki/Talk:Free_body_diagram

    3 Types of Forces. 3 comments. 4 Internal Forces. 1 comment. 5 Issues with additional diagram. 2 comments. ... 9 Polygon of Forces is not the correct method to reference.

  8. Cremona diagram - Wikipedia

    en.wikipedia.org/wiki/Cremona_diagram

    Starting at joint Aorda, the internal forces can be found by drawing lines in the Cremona diagram representing the forces in the members 1 and 4, going clockwise; V A (going up) load at A (going down), force in member 1 (going down/left), member 4 (going up/right) and closing with V A. As the force in member 1 is towards the joint, the member ...

  9. Support polygon - Wikipedia

    en.wikipedia.org/wiki/Support_polygon

    The support polygon succinctly represents the conditions necessary for an object to be at equilibrium under gravity. That is, if the object's center of mass lies over the support polygon, then there exist a set of forces over the region of contact that exactly counteracts the forces of gravity.