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Problem 1 (10 points) Three forces of magnitude P1, P2 and P3 are applied as shown figure to the end (D) of the member (CD), which is connected to a solid shaft (CE) of radius (r=20 mm). Knowing that the distance from (D) to the axis of shaft (CE) is 400 mm, and point (A) is located at a distance 200 mm from the end (C). Assuming that all stress remain below the proportional limit of the material. Note: P1, P2 and P3 are assigned for each student as in the table provided. Answer the following questions. (a) Determine the principal stresses and principal planes, maximum shearing stress at point A located on the surface of the shaft (CE) at the x-axis. (b) Determine the principal stresses and principal planes, maximum shearing stress at point Blocated on the surface of the shaft (CE) at the y-axis. p1=1160N p2=1820N p3=2060N C 400 mm 200 mm P1 a B D P2 -20 mm E P3 B A Section a-a