Test_3_2007_solutions

Test_3_2007_solutions - TEST 3 December 3 2007 CE 180...

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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. (“9-3 '95} 00+ - 01\$ beam] P Ein. ; 11 \‘wﬁ'ﬁx XN f"‘--. .4; 2‘5? \ _'.. B i ‘5. 19 235’; I“ ’27" )OKﬁ IEP,,M.WM““'""“ ‘5 ‘ 2. W; : Jgﬁmq/ (a : "“" (p ,. :; a}? .- 295» 3 (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 20-foot 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 we” 4 (\$80 Elbe centrozdal x—ax15. ngsSo dived M L , B‘ml ‘ ‘ a m :7 TCaﬂwKoL/Eé *‘ ”ﬁe/35s, C) g‘mﬂe (an \d ‘ 00) La Md < emtaaaa‘ 8 :n—d. le— JM “ ‘3- : mu”; m in xi : 24‘7bgﬁ' “11,31 .: 361.000‘ . _ 1 (mo v we?) 02.3mm) _ 0L? WW. 7 05me W ' ‘ \$61000 m 4 Webs ; ...
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