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Problem 5: (25 pts) The figure shows a crank made of a hollow cylinder with an outer diameter of 50 mm and a thickness of 2.5 mm. The crank is subject

to a static vertical load of 1000 N applied to point D as shown. The crank body is made of ASTM 60 Grey Cast Iron 1. Draw a free body diagram showing all forces moments and torques at the critical section (point A) [8 pts] 2. Determine the safety factor at the critical point A, using (a) the Brittle-Coulomb-Mohr theory [9 pts] (b) the Modified Mohr theory [8 pts] Z y O D = 45 mm Do = 50 mm - X 200 mm 250 mm 1000 N 20D= 50 mm ri b 100 xmm X

Fig: 1