University of Bahrain College of Engineering Department of Mechanical Engineering CLASS COURSE SUBJECT SEMESTER B.Sc. in Mechanical Engineering MENG 371 Mechanics of Materials I - 2021/2022 St. Name Solution St. No. Question No. Max. Mark Scored Mark PILO’s – CILO’s Sec. Q.1 10 Q.2 10 Q.3 10 1,1 1,1 2,1 ∑ 30 DATE TIME DURATION Sunday 14/11/2021 9:00 – 10:30 1.5 hour INSTRUCTIONS TO CANDIDATES: 1) Write clearly your name, number and section. 2) Start with new page for each question. 3) Answer all the following three questions. 4) Sketch if need and write the units of all answers. (Test I) Course instructor: Dr. Maher Mahmood Dr. Raguraman Kannan Good luck Q.1) In the structure shown, an 8-mmdiameter pin is used at A, and 12-mm-diameter pins are used at B and D. Knowing that the ultimate shearing stress is 100 MPa at all connections and that the ultimate normal stress is 250 MPa in each of the two links joining B and D, determine the allowable load P if an overall factor of safety of 3.0 is desired. Q.2) Each of the four vertical links connecting the two rigid horizontal members is made of aluminum (E = 70 GPa) and has a uniform rectangular cross section of 10 × 40 mm. For the loading shown, determine the deflection of (a) point E, (b) point F, (c) point G. Area of one link: Length: L = 300 mm = 0.3 m Q.3) Three shafts and four gears are used to form a gear train that will transmit power from the motor at A to a machine tool at F. (Bearings for the shafts are omitted in the sketch.) The diameter of each shaft is as follows: dAB =16 mm, dCD =20 mm, dEF = 28mm. Knowing that the frequency of the motor is 24 Hz and that the allowable shearing stress for each shaft is 75 MPa, determine the maximum power that can be transmitted.