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Unformatted text preview: TAMZO6 Spring semester 2003. Quiz No.1 Name ...................................... .. Q.l A metal plate carries the six vertical loads shown. Each load is measured in
tons (T) where one ton equals 2000 1b. (a) Determine the net vertical force R and calculate the net moment about 0 of this
resultant force. (10) (b) Calculate the x and ycoordinates of the point P in the xyplane through which
the force R acts. (10) (c) If all the loads were doubled in size, how would your answers to (a) and (b)
change? If all the distances were also halved, how would your answers to (a) and (b) change? (5). U) 5,.
iFZ:(—S~(O+8—‘+‘7—Ci)tow my = ~Q3towo
R2,: 4{~Q>ooolho. C49 i //
Pﬁoqg). mm mm = mogwweww: we  © ‘ = @c/C+3f)x (22$ : +40000m34(0000%§
MMIWWW,WMWW _ C0 00: = O
(a) ma = Q03, x ~lQooog = anooo (we;
(3) m3 = (53, +cé)>< {coco/E = “3300000 3 + <M2000 E
Q0 m4 = 7:0 + {’53 X ~8000E: 515,000; — (aoooog
6) m5 ~ (Q03 +QQ§>X~HOOOE= $20000;  3080003:
@MB = aagix «Moos/g =  3%0000 Emo = 330,000? —7Q$ooo’t
@ = 490003e3’42000%g
:30; 33.93 .. .. 7 _
4c “730% 3 ~35: (agate.
@ MoaﬁwaMkW/QWW mow/L2. TAM206 Spring semester 2003. Quiz No.1 Name ...................................... .. Q2 The radio mast weighing 3000 lb is subjected to a measured restraining force
to the nearby building of 2000 lb and to 2 cable forces in wires BC and BD as shown.
(a) Draw the freebody diagram (FBD) for the mast showing all reaction forces and
moments at O and write down the equilibrium equations for force and moments based on your free body diagram. (15).
(b) Determine the tension forces in the cables and the reaction needed at O to maintain equilibrium of the mast. (15)
(c) If the cable BD was tied to the ground at a greater distance from 0, would its tension force increase or decrease? (10) T2, éwBerm +13m ‘ 4
2m: ®
1;; 13821“ 7% 424$) = 113 (7g~9‘ia)
— q 315 «as 6
Tue aTQB _8A‘;24E)= E ' é " Q6 ‘3 
w 3O,OOOA+ Tea A " A " i — "
4 aqEX(T_t3¥_ 44 1:25 15;“; 24th) 0 TOB="'°?SSOim “(g—.28 2:30.000 37‘: c; [:1ng
bewgmm 7 Tag: SHIN»
2; 7333.: 5952:2150 inc}
. I ‘ A. A
1: = Lg_sp(3§~t+gug) :03: mug  57Hqu
k m _ TAM206 Spring semester 2003. Quiz N 0.1 Name ...................................... .. Q2 The radio mast weighing 3000 lb is subjected to a measured restraining force
to the nearby building of 2000 lb and to 2 cable forces in wires BC and BD as shown.
(a) Draw the freebody diagram (FBD) for the mast showing all reaction forces and
moments at O and write down the equilibrium equations for force and moments based on your free body diagram. (15).
(b) Determine the tension forces in the cables and the reaction needed at O to maintain equilibrium of the mast. (15)
(c) If the cable BD was tied to the ground at a greater distance from 0, would its tension force increase or decrease? (10) T2. = aooo’g + "3000sz 413,3“ 7.355
= moogaaooolflg  “150$ I
H9075 + 5000/; j I ems:
+5wag N .
K3: vso§ +i37ﬂiglbn E5] a ac (9:3‘Qﬂﬂbﬁbumoﬁh%abaﬁwmﬁwﬂﬂwmm+Mch
rumwmwwwwwmﬂmwwawbmwwwﬂw:
TED a TED (mg—qu) mgw_ ‘ 129:} + Q4 "l/L MOW qmecihow 3M 13> Lm’ 40 000
(QC/27% 234‘) h t if
L
TD =1 40‘000 ac +5241)
«LNtar.) T31) More bee/WI (155 W {3 TAM206 Spring semester 2003. Quiz No.1 Name ...................................... .. Q3 A standard 18” steel l—beam weighing 65 lb per foot is used to lift heavy
objects into an upper ﬂoor of a building as shown. An air conditioner weighing 2000
lb is to be lifted as shown. (a) Draw the free—body diagram (FBD) for the beam showing all reaction forces and
write down the equilibrium equations for force and moments based on your free
body diagram. (15). (b) Determine the tension force in the supporting wire and the reaction needed at A
to maintain equilibrium of the beam. (15) (c) If the wire was removed and the beam rigidly connected into the wall at A, what
would the reaction force and moment at A be? (5) (d) If the angle of 250 was increased, would that increase or decrease the tension in
the wire? (5) 82mm "I; :‘TcooQS + “ﬁns +§Jm§ = O (3‘)
T7 1—1—8sz 4
Q4? 5m35+%was)rz 7";ﬂ‘7s‘r I'd/g.me: Wars? :10
Cb) (a, MS; + 0.9930) T = 11733203
Eag'jg‘T = 9.73220“ 3?
‘T = 3cm; Hy.»
. . ‘5
w Rm: SbOOlba
9% = 196% lba EULW' ism 9 WWWQ ...
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 Force, ........., lb

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