Question

(15 points) (45 minutes) he figure below shows a slider crank mechanism with an external force applied to the piston. For the given crank velocity at the shown configuration, find the following: 1 Draw free body diagram for each link showing the coordinate frames, accelerations, reaction forces, and externally applied forces. Points) 2. Apply Newton's law to develop the dynamic equations of motion for each link. 3. Solve for all the reaction forces and the crank torque (S (5 Points) (5 Points) R 0.075m, R 0.031m, R 0.3m, R 0.0875m m,-1kg, m, 3.5kg, m, 2.5kg, L-0.3kg.m. I-10kg.m, o,160k rad/s, a, 0; a,-3090k rad/s, A 900D150 m /s, A 2000D158 m /s', A, -2100D180 m/s, F, 200D180 N B F J30 36T G 18 G 3 kample 2 1. The jib crane shown can support a maximum load of 1500 pounds at x = 10 ft. The tie-back rod BC has a diameter of 3/4 inch. The clevis at each end of the rod is to be secured with a zinc-plated clevis pin in double shear. The crane troliey weighs 70 pounds and the beam weighs 13 pounds per foot. Determine the stress in the middle of rod BC Select a clevis pin diameter for joints B and C. Use N = 6 on Sus Su=71 ksi. Copyeght2005 Pearson Prantco Hal In iscUSS only CHAPTER 1 STRESS ANALYSIS

Answer 1

iven that Deamete of tBe tfe- back vod Bc = rolley Heghtof the crane Pound & Load o-f Ie jeb Crane ISoo PoundĄ. - weght azfoy Total on te Crane I5o0+o I5to Pounds. weight of te 13 Poundfodt beam Maimum load Can be found at n doubk hea ZC plated clevis Free-body dag YOurn: 13uo)130ond 1T7=T(sin 30) o-5T 15to Pounds o5T(10) -1305) - i5tol 650 1510 (U T(5) 130 314(x) TE .

1odl Stress 130 + 3іч (1o) T= at X- 1o tt 3aD A +4о2 ряi. Pi deametre: KsE us shear sthess Sug d 53.S 8.8-7S ki 881S pai T Cheat doublu A

32t0 8815 Pin 3210 (A) area A 0.1842 o.1842 O234S d O.4843 o5 &n o.5inch pin diametre (d)