Problem 3-13

# Problem 3-13 - MACHINE DESIGN - An 3-13-1 PROBLEM 3-13...

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MACHINE DESIGN - An 3-13-1 PROBLEM 3-13 Statement: Determine the impact force and dynamic deflection that will result when a 100-kg person jumps up 25 cm and lands back on the board. Assume the board weighs 19 kg and deflects 8.5 cm 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. Units: kN 10 3 newton . N newton 2000 1300 = L R 1 700 M 1 F i Given: Total board length b 2000 mm . Supported length a 700 mm . Mass of board m board 19 kg . Static board deflection δ stat 85 mm . Mass of person m person 100 kg . Height of jump h 250 mm . Assumptions: 1. The board can be modelled as a cantilever beam with maximum shear and moment at the edge of the support. FIGURE 3-13A Free Body Diagram for Problem 3-13 Solution: See Figure 3-13 and Mathcad file P0313. 1. The person impacts the board upon landing. Thus, the board is the struck object and the person is the striking object.

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## This note was uploaded on 04/26/2010 for the course MAE 3242 taught by Professor N/a during the Spring '10 term at University of Texas-Tyler.

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Problem 3-13 - MACHINE DESIGN - An 3-13-1 PROBLEM 3-13...

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