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Lecture 14-20 - Two .Weightisneglected (orforce equilibrium...

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Two and Three force Members Two and Three force Members A two force member is subjected to no couple moments and forces are applied to only two points on the member. Weight is neglected. Notice that the two forces are collinear.
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Two force members will maintain translational (or force) equilibrium if F A and F B are equal and opposite.
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Two force members will maintain rotational (or moment) equilibrium if F A and F B are collinear. Therefore, only the magnitude of the force must be determined, since the direction can be determined by the line AB .
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A three force member is subjected to only three forces that must be either concurrent or parallel . LOA’s are parallel and intersect at infinity 0 = P M P 0 = M
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Trusses A truss is a structure composed of slender members joined together at their end points two force members end points…two force members. Welded, bolted, or riveted to a gusset plate Connected with large bolt
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A truss can only be loaded at the joints, and the members are assumed to be weightless (negligible).
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Top chords Bottom chords Web Top and bottom chords usually carry significantly higher loads than the web elements.
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R f t t i ll l d d th Roof trusses are typically loaded on the top joints whereas bridge trusses are typically loaded on the bottom joints.
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Truss Assumptions: 1) Loaded only at joints which are assumed to be pinned 2) Composed entirely of two force members 3) Neglect weight (weightless) Warren truss Tension – force points away Compression – force points toward
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