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Unformatted text preview: TEST # 3, December 3, 2007
CE 180, Statics STUDENT PLEDGE: I, % , have not given or received
improper aid on this quiz. INSTRUCTIONS: Read each problem carefuliy and think about the problems before you
start to solve them. Show all your work neatly. A straight edge is not required. Clearly
Show your answers and use proper units. Draw Free Body Diagrams when needed .(2pts. ) What is a free body diagram? A diagmm a? an abject Page Mm '1qu Skipper/+3
'W‘m ﬁhfewﬂ all oi “We 629%!an «Gyms on em objee‘i 2. (3 pts.) Why is the column larger at the base than at the top? no, a
Abselaie name a J 4. (2 pts.) What property of steel tubes makes them better than solid bars for
compression? [Cl (me/r mom/g (3p 8y m‘iim
J 5. (2 pts.) Why is it important for engineers to have a sign convention on bending
moment? To KNOW (if +5“ CW “Em has “iff‘ﬁniir‘m so ”top W baritone ‘  ‘ ‘
TO WAMQWCM‘Q N] SEW aﬂgmem 6. (10 pts.)Draw the shear and bending moment diagrams for the foliowing beam. (“93 '95} 00+ 
01$ beam]
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(a 0 8. (20 pts.) Draw the shear and bending moment diagram for the foilewing beam.
The reactions aresz = 85 kips, By = 165 kips 3U kit/ft. 50 kip 'ﬁ' IIIIIII
< UWAHXS UM VQM Womb (can mdz, 9.” (50 pts.) A 20foot long bridge beam has a distributed load of 4 kips/foot. "The
beam is simply supported. It is made of concrete with the cross section shown
below“, a. (3 pts.) Draw a Free Body Diagram of the beam.
b. ( 10 pts.) Draw a shear and bending moment diagram of the beam.
c. (30 pts.) Determine whether the beam will crack. The beam wili crack at a _ ‘ i“ stress of 500 pounds per square inch. Stressu BM (y)/ I , where y is the N0 cavﬂdﬁh‘g‘ﬂ distance to the centroid from the x—axis, and I is the moment of inertia about
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