lec2 - 2.001 - MECHANICS AND MATERIALS I Lecture #2...

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∑∑ 2.001 - MECHANICS AND MATERIALS I Lecture #2 9/11/2006 Prof. Carol Livermore TOPIC: LOADING AND SUPPORT CONDITIONS STRUCTURAL ANALYSIS Tools we need: 1. Recall loading conditions (last time) a. Forces - (”Point Loads ”) Point of Application Magnitude Direction b. Moments From forces applied at a distance from a point. 2. Recall equation of static equilibrium (last time) F ± =0 F x ,F y z M ± 0 M x ,M y z 3. Distributed Loads - Force per unit length 4. Concentrated Moment - Moment applied at a point (EX: Screwdriver) 1
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FREE BODY DIAGRAMS Draw like a mechanical engineer Fixed Support Cannot translate horizontally or vertically. Cannot rotate. Pinned Support - Cannot translate. - Free to rotate. Pinned on Rollers - Cannot translate in y. - Can translate in x. - Free to rotate. REACTIONS: (Forces applied by a support) 2
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No ± ² can apply R x . ↑↓⇒ can apply R y . No rotate can apply M . So: Need R x ,R y ,M Need R x y 3
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Need R y OTHERS: CABLE: SMOOTH SUPPORT: EXAMPLE: DIVING BOARD Find reactions from the supports for this structure.
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lec2 - 2.001 - MECHANICS AND MATERIALS I Lecture #2...

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