Final_12-19_Q2

Final_12-19_Q2 - drawing the diagrams ONLY without showing...

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EM306 Statics FA06 Dec 19 Final, Question #2 December 22, 2006 The link ¯ BC constrains the forces applied at B and C to the vertical direction only. You must take this into account in order to solve the problem correctly. To do this, ﬁrst solve for V A and V B : Figure 1: Section AC 1

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Σ F Y : V A - 15 - V B = 0 Σ M A : - 15(3) - 8 - V B (9) = 0 V A = 9 1 9 V B = - 5 8 9 Now, solve for the individual segments. For 0 < x < 3 : Figure 2: FBD Σ F Y : V A - V = 0 V = 9 1 9 Σ M x : - V A ( x ) + M = 0 M = 9 1 9 x For 3 < x < 7: Σ F Y : V A - 15 - V = 0 V = - 5 8 9 2
Figure 3: FBD Σ M x : M - V A ( x ) - 15( x - 3) = 0 M = 24 1 9 x - 45 For 7 < x < 9: Figure 4: FBD Σ F Y : V A - 15 - V = 0 V = - 5 8 9 Σ M x : M - V A ( x ) - 15( x - 3) = 0 M = 24 1 9 x - 45 For 9 < x < 21: Σ F Y : 5 . 89 - 0 . 5( x - 9) - V = 0 3

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Figure 5: FBD V = - 0 . 5 x + 10 . 39 Σ M x : M - 5 . 89( x - 9) + 0 . 5( x - 9)( x - 9 2 ) = 0 M = - 1 4 x 2 + 10 . 39 x - 73 . 26 Graphs: Figure 6: Graphs Grading Just like previous tests and quizzes, you have to show your work. It is not suﬃcient to just draw the diagrams, you had to show the calculations for each section. You lost points for
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Unformatted text preview: drawing the diagrams ONLY without showing how they are mathematically derived. Also, the link is important. If you ignored the link, you also lost points. 4 Link taken into account correctly: 2 pts. FBDs each section: 2 pts. Calculations: 2 pts. External forces: 2 pts. M, V diagrams: 2 pts. If you only drew one M, V diagram, or if you didnt draw diagrams, you lost points. I didnt grade algebra too closely; if your equation was approximately correct, you got full credit. You should have 4 FBDs and 4 sets of equations. You lost points if you didnt have all the FBDs or equations. 5...
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This test prep was uploaded on 04/06/2008 for the course EM 306 taught by Professor Rodin during the Spring '07 term at University of Texas at Austin.

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Final_12-19_Q2 - drawing the diagrams ONLY without showing...

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