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Summary: Shear and Moment Diagrams with Shortcut Method Figure 1 shows a beam with a pin support at A and a roller support at

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Summary: Shear and Moment Diagrams with "Shortcut" Method Figure 1 shows a beam with a pin support at A and a roller support at B. The beam is subjected to four applied loads as shown below (two distributed loads on the left, a couple moment and concentrated vertical load on the right). This loading pattern causes upward, vertical reactions of A = 300 N and By = 200 N (you do not have to prove this, take it as given information). Given this information: (a) Draw a complete free body diagram (FBD) of the beam (start at the top of the page so you can fit the answers to parts a, b, and c on the same page) [5 points] (b) Directly below the FBD, use the "shortcut method" we discussed in class to draw a shear diagram for the beam. Make sure it lines up with the FBD above it and includes all relevant information. Justify AV values with information from the FBD. [15 points] (c) Directly below the shear diagram, use the "shortcut method" we discussed in class to draw a moment diagram for the beam. Make sure it lines up the shear diagram above it and includes all relevant information. Justify AM values with information from the shear diagram [15 points] 20 N/m 10 N/m 200 N Figure 1 1500 Nm B -10 m- 10 m- -10 m- -10 m 10 m-

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