Problem 3-12

# Problem 3-12 - MACHINE DESIGN - An 3-12-1 PROBLEM 3-12 An...

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MACHINE DESIGN - An 3-12-1 PROBLEM 3-12 Statement: An overhung diving board is shown in Figure P3-4b. Find the reaction forces and construct the shear and moment diagrams for this board with a 100 kg person standing at the free end. Determine the maximum shear force, maximum moment and their locations. P R 1 700 2000 1300 = L M 1 Units: N newton Given: Beam length L 1300 mm . Mass at free end M 100 kg . Assumptions: 1. The weight of the beam is negligible compared to the applied load and so can be ignored. Solution: See Figure 3-12 and Mathcad file P0312. FIGURE 3-12A Free Body Diagram for Problem 3-12 1. From inspection of Figure 3-12, write the load function equation q(x) = - M 1 < x - 0> -2 + R 1 < x - a > -1 - P < x - L > -1 2. Integrate this equation from - to x to obtain shear, V(x) V(x) = - M 1 < x - 0> -1 + R 1 < x - a > 0 - P < x - L > 0 3. Integrate this equation from - to x to obtain moment, M(x) M(x) = - M 1 < x - 0> 0 + R 1 < x - a > 1 - P < x - L > 1 4. Determine the magnitude of the force, P PM g . P 980.7 N = 5.

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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 3-12 - MACHINE DESIGN - An 3-12-1 PROBLEM 3-12 An...

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