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Unformatted text preview: TEST # 2, October 13, 2006
CE 180, Section 02, Statics STUDENT PLEDGE: 1, Key , have not given or received
improper aid on this quiz. INSTRUCTIONS: Read each problem carefully 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. 1. (2 pts.) What is a free body diagram?
A diagram at a rigid body free from its supports with $1 of the external forces
93 the body shown 2. (2 pts.) For the frame below, list the two—force members. All members are twoaforce members 3. (2 pts.) List the equilibrium equations for a rigid body in 4. (2 pts.) Define improperly constrained
Having insufﬁcient supports to hold the body in equilibrium under general
loading 5. (12 pts.) Draw afree body diagram of the b33111: Is it statically determinate? 6. (20 pts.) A. Draw a free body diagram of the beam below, replacing the distributed loads
with point loads. The first figure shows that the distributed loadings are from
the bricks and the supports. B. Given that d = 1.5111, find W for the support at the right end of the beam. A, w‘ ._ QigkngZwNIm> :— $00“
l______,,__.§:j“ V‘] : w‘ i051“)
MN m) '7. (20 pts.) For the following figure, the distance x is 6 feet. The load has a weight
of 5000 pounds. Neglect the weight of the crane. The support at B is a smooth collar that cannot prevent rotation.
a. Draw a free body diagram of the crane.
I). Find the support reactions at A and B. 5, MW QBXBL124‘945‘DW‘QWJ‘9
Bx(12£~0 5" pggoothKo—H)
. 3x 3 W)
01%) ,. (~'»50'~‘><>\‘0j : ~25OOUO
, W
2.
gx a Zeocmb 4““ M
A;
éinO 1‘ Ax + (4500”?) lm
W X.“ jfé‘Fy—w 2* A7 _ 5000 “9 8. (20 pts.) The support at A is fixed. The 150—N force is parallel to the z axis and
the 200~N force is parallel to the y axis. Draw the free body diagram of the pipe. How many unknowns are there? Is this pipe statically indeterminate? Explain your answer. Find the force and/or couple moment along and/or about the x axis. (You must decide if there is a force and/or a couple moment.) Pr 92°F? 150 N 90 (j unknowns Ct Noﬁm, P5193"
W7} S+GVHQCLHKI
incl ejrermmate
emcﬂ W number
at unbﬂbwrﬁ aﬂoat;
Jew. number 0; E‘DUCLhO“S 9. (20 pts.) The pipe is supported by a ball and socket at A and by two cables at B.
a. Draw the free body diagram of the pipe.
b. Given the unit vectors for BI) and BC below, write two equilibrium equations
to find the tensions in BD and BC. (Do not solve.)
um; : (6/7 i — 3/7j + 2/7 k)
um) = (~6/7 i ... 3/7 j + 2/7 k)  92M ”0 (3/7) Iodine) LI’IXTﬁgI ['sz EMII‘IS'“) MN
9:ng 0: k TﬁMXIM) I GIT)Q"6D\IIM)I IW'IXTBQII 5M)I€/7XTBDXI 5“) WWI (om) QWXI and @tmf L+ZIVIw©= @IﬂI‘IeQI‘Igm) I'Q’I’DI’I'BDUIIW) or CalviI'IechmDIGIM/em) C Mama, 0: @I'DKTEQUM) “‘4 IIIXTIIPDBUM) oi”
L_{7)Ii1“bc)(2m}“WI/1792979“) W7) (We) ﬁrm) I (1/7) (T60) (3m): 0 TEST # 2, October 13, 2006
CE 180, Section 04, Statics STUDENT PLEDGE: I, Key , have not given or received
impmper aici on this quiz. INSTRUCTIONS: Read each problem carefully 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. 1. (2 pts.) What is a free body diagram? A diagram at a rigid body free from its supports with all of the external forces
93 the body shown 2. (2 pts.) For the frame below, list the twowforce members. 3kN ZkN All members are twoforce members 3. (2 pts.) List the equilibrium equations for a rigid body in 21320 a. 2—D 2F}, 20 21:50 2F): mo ZMI =0 b. 3—D 2F), mo 2M? :0
2F: 2 0 ZMZ a 0
4. (2 pts.) Define improperly constrained. Having insufﬁcient supports to hold the body in equilibrium under general
loading 5. (12 pts.) Draw a free body diagram of the beam. Is it staticaily determinate? m: hi \ l l/ West») 31‘ i3
LIT—m sx—QDﬁLQUq 5f; CY d etermimﬁe 6. (20 pts.)
A. Draw a free body diagram of the concrete siab below, replacing the
distributed 10ad(s) with point load(s).
B. What is the total weight of the machines and the siab? ‘ "300M:
rm ~~~~~~~~~~~~  12h wwwwwelwm— 91‘: w»—  0th “Nice WM) :2 6:00 t b @2ka )[Qse‘bszJ : \SeeVo 77:419.] Lead : (QOOUO Jr {5901}; + 6:06 Ho {— ‘ﬁoo Hg 3 [$100 \bl 7. (20 pts.) The frame below has 4 forces and 1 couple moment acting on it. The suppOrt at C is fixed.
a. Draw a free body diagram of the frame.
b. Find the support reactions at C. 30f) Eb 2430 lb QCIO 1h W311
.479"; 1.. _ i; £33” A 50o 1b '"ft
goo lb
300“? We“: WOW
A if“ a$+ “if” H F4 Ml
‘" ' ’f
(”82% {1 \ 29+
#4:... Zoo Ho
1 Pr
VAC— Q); <14 6 ‘95“ “‘0": ”00““ "‘W‘ebﬁ) +(ZwleW) + CMO‘bXa H3)“ Mo.
. C ,
MC, 2: L590 \bHr )czaoo no.“ Jr 800‘Lb‘ﬁ \‘ ILEOEDvaPiF W0 :. acme “0.9+; M 3330 "a A wow.» +» C7; \Qx; 1 wom‘ 8. (20 pts.) The pipe is supported by journal bearings in proper alignment at A and B. The 50
pound force is parallel to the z axis, and the force P is parallel to the x axis. a. Draw the Free body diagram of the yipe. b. How many unknowns?
c. Is the problem statically indeterminate? Explain. (1. Determine the force P to keep the pipe in equilibrium. $50 SwﬂlC/HOUDHS (1w Mo, W ?m\ol~erﬂ
6 ﬂcrl' sl—alV‘C—am/
”Ind elerm J marl—8
Since. m number O‘l‘ ueﬂhﬂowng l5
\e—g‘; Demetri “WUa ﬂown W Tl M 2 loo llo”'F’i
Oz "Phimhe (Sodyblhom) l IOO lb°1p+(‘—‘_¢+—
'Pi‘ém) '37 EODUD‘WW + \200 “Dan P2: \’(Ob\\o"m ﬂ, i550“: __ H25”, 2:7.l2t5lb qu~w§ 12m 9. (20 pts.) The door is held in place by the two hinges in proper alignment and the
cable going from C to B. The weight of the door acts at the center of the door.
The unit vector in the direction from C to B is um; = 06373 i +0.7326j — 0.23901;
a. Draw the Free body diagram of the door.
15. Write the equation you would use to find the weight of the door. Do not solve. 8” 6M” 1: O ”3 (”950“,)(63390Xfm) + mftonszwSBO")
or ' ‘ ‘ ° [Sn/100330")
:; 2 (3.50 N (“047320009500 ﬁlﬂgo) 4' (Q50N)[D»33qo)(
. i iv‘CZ—Q O ) 4 N (Ga75M)(w$'50b) {55% TEST # 3, November 11, 2005
CE 180, Statics STUDENT PLEDGE: I, {2% ' , have not given or received
improper aid on this quiz. INSTRUCTIONS: Read. each problem carefully 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. 1. ( 2 pts.) What is a free bodyr diagram? (
A. dlnﬁmw 0% Dim object 481%: 'QWM El} ' {WSW/h shows/e} ell W Wm} ”Ft/mi? am; m ee 6” ml .
2. (2 pts. Each) Answer the 2 questions below about the following ﬁgure: . 3 RN 2 kN
immumwwwn'lﬁ mummmmsn. .m...........s.u3 533.".mesw. a) Is member BDﬁﬁember? ' 3
b) Draw a free bo ' am of pin C. 0 not solve for forces. 472w a” :7
ﬁll} _ _
3. (2 pts.) If you were going to ﬁnd the force 111 member ML thh one equatlon (after reactions are found), draw the out through the truss that you would use. ..___ .___......,w.._...« .. WWW—Wu——— 4. (2 pts.) Dfaw a free body diagram of just the pulley. gemmmm.» :4 ﬂ ...... alrmv—m ‘5 fl W""“‘,’"‘; ‘3?) F50 5. (2 pts.) What is the vaiue of the bending moment at B? How do you know this
without doing any calculations? calculation requiredk 5 RN 4kN 7. (2 pts. Each) Answer the 2 questions about the beam below. a. What is the shape of the shear diagram? Wﬂbhﬂ .
b. What is the shape of the bending moment diagram? 0J0 LL 8. (2 pts.) Does the bending moment start at zero, positive, [email protected] ““ ' M ' BOD ”MW....~..w........~.‘www‘wmwM
10. (20 pts.) The car has a weight of 3500 lb located at G. Find thé'aféféﬁbe x so that
the force of 100 lb at E will lift the front wheels of the car. 3W x "WM j i E \gﬁkN
“r L »—~ «0 f1 ~~~~~~ 753:”??? 4.5 «1 «E A //;:
‘bmap; «a... m '2, PEN«2T3 3mm
5 «00¢: Cy , .
«ﬁg/Al / W
”—1; L c: m; i TA
7 / j \f r ’ W
' :3 —3 m ‘
K 0‘  H _ b i 4’5 1
“ «A Er.» *0
Z m D = o i M a :0 —C‘Cﬁl.5\) Jr $805 (4.5;) 3‘0 [ 3‘ 3’ gigglyu] ‘ (:7 : «567% «30 1 1. (20 pts.) Draw the shear and bending moment diagrams for the following b am. 7k§\‘ “WT;
W” ' a
ZMQSO ?
7\¢M (EVA ”‘2 HEDQEN D ,., 2 3,75%“ 12. (20 pts.) Draw the shear and bending moment diagr
The reaction at A is 0.25 kN and at C is 1.25m :“j:::::;::;3:1::::;;”::ij L26“ w ams for the following beam. ...
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