ME 211 Homework 7 Solutions

ME 211 Homework 7 Solutions - Problem#110.5...

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ME 211 Homework Set #7 Solutions 10‐24‐2008 Problem #1 10.5 Determine the displacement of end A with respect to end C of the shaft in Prob. 4‐4. 1.) Draw the FBD of the rod from AB and AC . 2.) Applying the approximation δ A / C = PL AE = 2.00(4)(12) π 4 (0.75 2 )(15.0)(10 3 ) + 6.00(10)(12) 4 (2 2 3 ) A / C = 0.0298 in Positive sign indicates that end A moves away from C.
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Problem #2 – 10.19 The assembly consists of three titanium (ti‐6A1‐4V) rods and a rigid bar AC. The cross‐sectional area of each rod is given in the figure. If a force of 6kip is applied to the ring F, determine the angle of tilt in radians of bar AC. 1.) Draw the FBD of the bar AC. 2.) Find the forces on bar AC by writing the equilibrium equations. M A = 0 = F CD (3) 6(1) F CD = 2.00 kip F x = 0 = F AB 2.00 + 6 F AB = 4.00 kip
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3.) Find the displacement of the bar at A and C δ C = F CD L CD A CD E = 2.00(4)(12) (1)(17.4)(10 3 ) = 0.0055172 in A = F AB L AB A AB E = 4.00(6)(12) (1.5)(17.4)(10 3 ) = 0.01103 in 3.) Find the angle θ = tan 1 ( A C 3(12) ) = tan 1 ( 0.01103 0.0055172 ) = 0.00878 °
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Problem #3 – 10.28
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ME 211 Homework 7 Solutions - Problem#110.5...

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