Problem 3-4 - MACHINE DESIGN - An 3-4-1 PROBLEM 3-4 The...

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MACHINE DESIGN - An 3-4-1 PROBLEM 3-4 Statement: The trailer hitch from Figure 1-1 (p. 12) has loads applied as shown in Figure P3-2. The tongue weight of 100 kg acts downward and the pull force of 4905 N acts horizontally. Using the dimensions of the ball bracket in Figure 1-5 (p. 15), draw a free-body diagram of the ball bracket and find the tensile and shear loads applied to the two bolts that attach the bracket to the channel in Figure 1-1. Units: kN 10 3 newton . Given: a 40 mm . b 31 mm . c 70 mm . d 20 mm . M tongue 100 kg . F pull 4.905 kN . t 19 mm . Assumptions: 1. The nuts are just snug-tight (no pre-load), which is the worst case. 2. All reactions will be concentrated loads rather than distributed loads or pressures. Solution: See Figure 3-4 and Mathcad file P0304. 1. The weight on the tongue is W tongue M tongue g . W tongue 0.981 kN = 2. The FBD of the hitch and bracket assembly is shown in Figure 3-4. The known external forces that act on the ball are F pull and W tongue . The reactions on the bracket are at points C and D . The bolts at C provide tensile ( F c 2 x ) and shear ( F c 2 y ) forces, and the bracket resists rotation about point
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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 3-4 - MACHINE DESIGN - An 3-4-1 PROBLEM 3-4 The...

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