MECHANICAL & AEROSPACE ENGINEERING DEPARTMENT UNIVERSITY OF CALIFORNIA, LOS ANGELES MAE 101 STATICS AND STRENGTH OF MATERIALS Fall, 2008 INSTRUCTOR CHATTERJEE, A. K. MIDTERM EXAMINATION November 7, 2008
INSTRUCTIONS: SHOW ALL CALCULATIONS ON THESE PAGES.
MECHANICAL & AEROSPACE ENGINEERING DEPARTMENT UNIVERSITY OF CALIFORNIA, LOS ANGELES MAE 101 STATICS AND STRENGTH OF MATERIALS Fall, 2008 INSTRUCTOR CHATTERJEE, A. K. Quiz October 17, 2008
INSTRUCTIONS: SHOW ALL CALCULATIONS ON THESE PAGES. ATTACH ADDITION
Problem 7.29 Determine the coordinates of the cen-
troicts.
Solution: Divide the shape up into a rectangle, a semicircle, and
a circular cutout as shown. Note that the y coordinates of the centroids
of all three component areas lie on the :1; axis. Thus,
The force at D is the force that goes into the thread moment equation. Therefore, it should read M = (0.01)(13)tan(8.53 + 4.55) = 30.2 N-m
9.04 N-m
13 kN
1
l
l
l
lloblem 6.5 (a) Let the dimension is z 0.1 m. Deter-
mine the axial forces in the members, and show that in
this case this truss is equivalent to the one in Problem 6.4.
(b) Let the dimension h = 0.5 m. Determine the axial
forces in the