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EAS207-finalexam-solution-2002

# EAS207-finalexam-solution-2002 - EAS 207 STATICS Final Exam...

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Unformatted text preview: EAS 207 - STATICS Final Exam Fall 2002 Total points: 100 Notes: (i). Closed book exam. (ii). Do all problems. (iii). Draw Free~body Diagrams and reference axes. Problem #1: Find the pin forces at G and supportmg forces at A and B of the loaded frame shown in Fig. 1. (20 Points) Problem #2: Blocks A and B, shown in Fig.2, weigh 50 lbs and 30 lbs, respectively. Determine the greatest weight of block D without causing motion. (20points) » Problem #3 a) Determine the Moments of inertia Ix, ly, lxy for the composite section shown in Fig. 3 (13 points) b) Determine the principal moments of area at point A. (7 points) Problem #4 a) A beam is loaded and supported as shown in Fig. 4. i) Calculate the support reactions. ( 5 points) ii) Write the shear force and bending moment equations for a beam section between points D and E. ( 7 points) b) Draw complete Shear and bending moment diagrams for the beam with the aid of the area integration process. Be sure to label the values of shear force and bending moment on the diagram. (13 points) Problem #5: A fresh-water channel 10 ft wide (normal to the plane of the - paper) is blocked at its end by a rectangular barrier, shown in section ABD (Fig. 5). Supporting struts BC are spaced every 2 it along the 10 ft width. Determine the compression in each strut. Neglect the weight of the , members. ‘ ' _ (15 points) 60° 60 (,9) Hit/L39 (or (Pin) Ohm/“13hr” {\onsl Exam . W a Problem #1: Find the pin forces at G and supporﬂng forces at A and B of the loaded frame shown in Fig. 1. (20 Points) @ “5‘00 :05 20°44) 11 O I Dx: 469‘954‘” @ ‘1 ~§oO¢SOO Moi}: v ZTFU :20 :3 Ba ““330 L @E) E7; Wﬁm FBDI WW 1: .5; FL 3:: 4%ng "3W5“ 3) Pm»- Facosﬁé‘gég” 2.) Blocks A and B weigh 50 lb and 30 lb, respectively. Using the coefficients of static friction indicated, determine the greatest weight of block D without causing motion. (:M, (J 3 O 2 'w :0 £3 N, (0320 +O-éN‘5CDSQ 20 ~30 :0 / i! \x’ O‘éN) COSZOO~ N)gm ZOQW'T ": (Q u Cﬁwmava W: 5% N 1” 90 ___ 292 C0310 ““ ‘ «\o 453(162 an 206: o 0 . a , ”0..“ w,“ Zszr—o a"? N‘szoaa-oéNWOSZ A g : 95m éolmlcszz) 2 W M SUJMB w§M 0cm“ afﬁx? {W:vasz& QQWW W3 ,/» , [W‘N TF1 W QHCf/v (O avvk (:33 67 ,OL4gg'9W92’S‘KH (W311: ‘ ,2 "713“ M33 / (CL? \ 3. ) Determine the maximum and minimum second moments of area for””‘g:c/ the composite section shown in Fig. 3 with respect to axes through the origin of the xy-coordinate system. L“~*L“—4L8::m4 ﬂhmn60mm ’1 “2%”? We)“ (mg) + (\20M300M507] [n (403 1%” WSW X Lxx Rpm/kcwgb C " Y OQQ lg/vi 1 EL? (o 04) 4+£ ﬂﬁooéﬂeaogjet Jig—9:930; *%%<°'W>%<%ﬂ saw) I ~: [10000000 + 3x107] ~ [2;0m061. 12671367] + [2221106 +4 4m 1063 ,7 Emmo +<3~om7 ZHIO~§OMMO .M W+ 5' _. (0 5C 454 )3) y” z -- L—wzexﬂ) Sm M98) 56K>5K m +1W’945K0 +1-orsxo ”7: gsagmﬁ x107 /r1mo\x:: \$3 5689M» 507 6mm? "2 E? S'Eggx (3 SWA] +8 -+— -~)Oi If 30X {KR ’“Xv q" 30%»on +er 5X“ “if? "" sow-30 0~2x+ M S‘K’wzg‘x—M V flprﬂ%éx sx+éo _ '2 4 “ > ”# VHS (7 724M“ +76 X V5: §><+éTM§ {KN} W ...
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