Problem 3-17 - MACHINE DESIGN - An 3-17-1 PROBLEM 3-17 A...

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MACHINE DESIGN - An 3-17-1 PROBLEM 3-17 Statement: A pair of ice tongs is shown in Figure P3-7. The ice weighs 50 lb and is 10 in wide across the tongs. The distance between the handles is 4 in, and the mean radius r of a tong is 6 in. Draw free-body diagrams of the two tongs and find all forces acting on them. Determine the bending moment at point A . Units: ksi 10 3 psi . Given: Weight of ice W 50 lbf . Distances a x 11.0 in . a y 6.0 in . b x 5.0 in . b y 12.0 in . c x 2.0 in . c y 3.5 in . Assumptions: 1. Assume that the horizontal force at C (the handle) is zero, thus F c 0 lbf . (1) Solution: See Figure 3-17 and Mathcad file P0317. FF W F W/2 B F B A O C F F C O 3.5 = cy 12.0 = by 2.0 = cx 5.0 = bx 11.0 = ax FIGURE 3-17A Free Body Diagrams for Problem 3-17 1. Summing forces and moments on a single tong (see FBD above right). Σ F x F O F B F C 0 (2) Σ F y W 2 F 0 (3) Σ M C F O c y . F B b y c y . W 2 b x c x . 0 (4) 2. From equations (1) and (2), F O F B (5) 3. Eliminating F O from equations (4) and (5) and solving for F B F B Wb x c x . 2 b y . F B 14.58 lbf = P 0317.mcd
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MACHINE DESIGN - An 3-17-2 F A O C F F C O 3.5 = cy 2.0 = cx 11.0 = ax θ D F M F Dn D Ds 4. From equation (3), the vertical force on one handle is F W 2 F 25
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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 3-17 - MACHINE DESIGN - An 3-17-1 PROBLEM 3-17 A...

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