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Unformatted text preview: EM 306 — Statics FINAL Fall 2008  Kontsos Name:
EID: Unique Number: Instructions: This is a closed book, closed notes test. You are allowed to use calculators. The
duration of the test is 3 hours. Problem 1 120 points): H5 m (35:11 H.511] (1.5 m . ‘  4 1”] o  A speaker with mass m = 130 kg is suspended from
the truss by cables attached at D and E, as shown in
Figure 1. Determine the axial forces in members BC and CD. Figure 1
Problem 2 120 points 2: i
The weight of the rectangular plate of “WSW?”an Axum W) m mm
Figure 2 is W=4 kg and is applied at its if” ' '
centroid G. Determine the tension T Q, I) X, H
of the cable if you are given that the {Eat I,
moment that the weight and the cable / {x QM; //
tension create about the line deﬁned by B \m , ‘
points A and B is zero. (Hint: You don’t ixtkmgk // need to compute the reactions at points m. 18H. .WU 111111”;:;~n~\ A and B). p 1““ IJHH. 5». mm mm Figure 2 EM 306 — Statics FINAL Fall 2008  Kontsos Problem 3 120 points): Each of the three blocks of Figure 3 weights 200
lb. Determine the largest force F that can be
applied without causing the block to slip upward.
Given is that the coefﬁcient of static friction
between all surfaces is equal to 0.1. Figure 3 Problem 4 120 points 3: For the frame of Figure 4, determine i
the internal shear force and bending 1 ‘m
moment at point A. Also draw the shear force and bending moment i
diagrams of beam BC. I m 3 m——+—«~ l m—>« Im ~« Im ' Figure 4 Problem 5 120 points): An agronomist wants to measure the rainfall at
x the centroid of the plowed ﬁeld between two
roads, as shown in Figure 5. What are the
coordinates of the point where the rain gauge should be placed? (L5 mi e “.5 mi >‘ (Lb mi —r¢ > Figure 5 ...
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 Spring '08
 Rodin
 Force, 3 m, 3 hours, 1.5 m, 2 EM

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