TR-3 Free-Body-Diagrams_2011C (1)

TR-3 Free-Body-Diagrams_2011C (1) - Construction of a Free...

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1 Construction of a F ree B ody D iagram TR-3 Class 02-02
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2 RAT 02_02 § Take a NEW clean sheet of paper and write § Reminder: Individual work § There are two problems on this RAT. § Take 5 minutes to solve each of the problems. Page Team Number RAT 02_02 Section Number Date Name
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3 RAT 02_02 Determine the length of side c of triangle ABC assuming that b = 3 meters and  = 30° Answer choices:      a) 3 meters       b) 4 meters       c) 5 meters       d) none of the above          A           Ψ         c      b       θ     C                   a                          B
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4 RAT 02_02 For the truss (2-D planar system) shown below, determine the minimum number of members that could be added or removed to create a stable structure: Answer choices: a) 1 b) 2 c) 3 d) none of the above
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5 RAT 02_02 Answer choices:      a) 3 meters       b) 4 meters     c) 5 meters       d) none of the above          A                   60°              c     3            θ     C                    a                         B sin angle = opp / hyp sin 30 = 3 / c c = 6 m
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6 RAT 02_02 For the truss (2-D planar system) shown below, determine the minimum number of members that could be added or removed to create a stable structure: # M = 2 * # J – 3 # M = 2 (7) – 3 # M = 14 – 3 = 11 Calc. #MActual #M 11 = 10 underconstrained Answer choices: a) 1 b) 2 c) 3 d) none of the above
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7 At the completion of this module you need to be able to: § Isolate a body and draw a FBD § Label the points of interest § Draw the external force components § Diagnose the problems in an FBD This covers section 5.1 and parts of section 5.2 in your ENGR111/112 textbook (p. 251-276). Learning Objectives
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8 The way in which we deal with any system is by ISOLATING IT FROM THE ENVIRONMENT AND applying the laws of physics to it. This process of isolating the body and identifying the mechanical influences of the external world on the body is called Drawing a Free Body Diagram . In Engineering, the FBD is a CRITICAL communication tool to help other members of the team understand what is happening to the system. We have a standard procedure for drawing the FBD. Following procedure and drawing the FBD is critical for other people to understand your work! Free Body Diagram (FBD)
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9 Definition: Free-Body Diagram (FBD) § “A drawing of a structure, or portion of a structure, that is separated or made free from its environment and/or other portions of the structural system, and all forces that act on the structure must be shown.” § Important tool to assure that all forces are properly accounted for” - Magnitude - Orientation - Location (Plesha, p. 120)
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10 Key Points: FBDs “Cutting away” the part to be analyzed. § If you cut through a support or other member, you expose
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TR-3 Free-Body-Diagrams_2011C (1) - Construction of a Free...

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