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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. FBD’s 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 didn’t draw diagrams, you lost points. I didn’t grade algebra too closely; if your equation was approximately correct, you got full credit. You should have 4 FBD’s and 4 sets of equations. You lost points if you didn’t have all the FBD’s or equations. 5...
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Final_12-19_Q2 - drawing the diagrams ONLY without showing...

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