Problem 3-11

# Problem 3-11 - MACHINE DESIGN An 3-11-1 PROBLEM 3-11...

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MACHINE DESIGN - An 3-11-1 PROBLEM 3-11 Statement: Determine the impact force and dynamic deflection that will result when the 100-kg person in Problem 3-10 jumps up 250 mm and lands back on the board. Assume that the board weighs 29 kg and deflects 131 mm statically when the person stands on it. Find the reaction forces and construct the shear and moment diagrams for this dynamic loading. Determine the maximum shear force, maximum moment and their locations along the length of the board. 700 = a 2000 = L R R 1 2 F i Units: N newton kN 10 3 newton . Given: Beam length L 2000 mm . Distance to support a 700 mm . Mass of person m pers 100 kg . Mass of board m board 29 kg . Static deflection δ st 131 mm . Height of jump h 250 mm . FIGURE 3-11A Free Body Diagram for Problem 3-11 Assumptions: 1. Equation (3.15) can be used to approximate a mass correction factor. Solution: See Figure 3-11 and Mathcad file P0311. 1. The person is the moving object and the board is the struck object. The mass ratio to be used in equation (3.15) for the correction factor is massratio m

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Problem 3-11 - MACHINE DESIGN An 3-11-1 PROBLEM 3-11...

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