Solution_08 (1) - CIV-100 Section B/E Assignments Fall 2011...

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CIV-100 Assignments Section B/E Fall 2011 Assignment 8 Due on Monday, November 14 th 2011 Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required. 1- A gate in a salt-water canal is hinged at A as shown, and held closed by the pin-connected assembly CDE. The canal is 3.2m wide and the density of the salt water is 1040 kg/m 3 . Determine the minimum vertical tension force T, required to keep the gate close. [2006 Final] Solution: Step-1: Draw the FBD The thing you need to know is, the meaning of “minimum vertical tension force T applied at point D, it means we have the breaking point for the system – the gate is just about to open, at this situation, there is no reaction force at point B . Step-2: Calculate water pressure Ay Ax F DC F DE F ED =F DE F1 kN w F m kN m kg N m kg gz w 35 . 110 ) 2 . 3 )( 5 . 0 )( 6 . 2 ( 1 / 526 . 26 ) 6 . 2 )( / 81 . 9 )( / 1040 ( 2 3 = = = = = ρ
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CIV-100 Assignments Section B/E Fall 2011 Assignment 8 Due on Monday, November 14 th 2011 Draw a FBD if necessary; Pay attention to significant figures; A ruler is always required. Step-3 Analyze the FBD of the gate AEB, taking moment about point A, you will find force in member DE. Step-4: Solve the left segment (Joint D), you will find T. T = 113.9 kN 2- The pin-connected (point A, B, D and E) hoist system shown has a fixed support at C. The cable from the load passes over the frictionless pulley and is connected to the wall at F. The pulley at D has a radius of 0.5m. Determine the reaction components acting on member ABC. Summarize your answers on a separate free body diagram of ABC. [2003 Final] Solution: Separate all members and choose the right one to start (red means unknown). The only object has at least one known and less than 3 unknowns is the pulley, after solving the pulley we get Dx and Dy, then we can solve ADE, after getting Ey, Ax, and Ay, we can solve Cx, Cy, and M on member ABC. Step 1: FBD of all four objects
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Solution_08 (1) - CIV-100 Section B/E Assignments Fall 2011...

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