civ101f_2002_exam - UNIVERSITY OF TORONTO Faculty of...

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Unformatted text preview: UNIVERSITY OF TORONTO Faculty of Applied Science and Engineering FINAL EXAMINATION, DECEMBER 11, 2002 First Year - Programs l,2,3,4,6,7, 8 and 9 CIV IOIF - STRUCTURES, MATERIALS, AND DESIGN Examiner: Staff in Civil Engineering FAMILY NAME: GIVEN NAMES: (Please print clearly) STUDENT NUMBER: CIRCLE THE NAME OF YOUR LECTURER AND YOUR GROUP LETTER A Pressnail, Kim D Angelakos, Bill G Wright, Peter M. B Birkemoe, Peter C, E Kuhn, Eva H Palermo. Dan C Bonacei, John.F. F Seica, Michael J Kuhn, Eva CIRCLE MODEL NUMBER OF CALCULATOR CASIO 260 SHARP 520 TI 30 NOTES: 1. Be sure you have all 8 sheets ofthis examination paper. Page 8 is blank. Ifyou continue the solution of a problem on another page, indicate clearly by page number where your calculations are continued. You may write on the back sides of sheets, if necessary. 2. Answer all 5 (five) equal-valued questions. 3. No other paper will be accepted for marking nor allowed on the desk. 4. The permissible calculators are listed above. 5. Solutions must include free body diagrams which can not be superimposed on the original sketches. 6. Answers are to be placed in the boxes provided at the bottom of each question page. DO NOT WRITE IN THIS SPACE. Page 2 of 8 Name: 1. A steel roof beam for a warehouse is loaded as shown in Figure l (a). It has been fabricated by welding two plates 8 mm thick x 200 mm wide to the flanges of two C380 x 50 channels as shovm in‘ Figure 100). (The properties of channels are given on Page 3.) The new owner ofthe building wants to support an additional load P (RN) at the middle of the beam. Determine the maximum load P given that the load factor for' all loads is to be 2 and the yield stress is 380 MPa. F: 4-0 1w 4-0 m Pia-Te M lOkN/m A B Ftfi. l (la) Answer: -,_ PROPERTIES Detignarion' Dead L Total oad Area Width 1) lam-mm Web Thickness W Mean Thickneu Page 3 618 Name: STANDARD CHANNELS (c SHAPES) C380 1 x74 0.730 9 480 331 X60 0.583 7 570 331 1 x50 0.495 6 4:10 331 I c310 11145 0,438 5 690 305 l X37 0.363 4 720 305 X31 0.302 3 920 305— I Wide-Flange Beams [5| Unils) we: wcb ms 31:4 .1003 r—r Thick- ThJck- I S I S Dcaig- Am Depth Mdth neu ncss (10‘ (10-1 r (10" (10J r ution' (mm?) (mm) (mm) (mm) (mm) mm‘) m’) (mm) mm‘) mm’) (mm) W914 X 342 43610 912 418 32.0 19.3 6245 13715 373 391 1870 94.7 X 238 30325 915 305 25.9 16.5 40-60 8830 366 123 805 63.5 W838 X 299 38130 855 400 29.2 18.2 4785 11210 356 312 1560 90.4 X 2.26 28850 851 294 26.8 16.1 3395 7980 343 114 775 62.7 X 193 24710 840 292 21.7 14.7 2795 6655 335 90.7 620 60.7 W762 X 196 2.5100 770 268 25.4 15.6 2400 6225 310 81.6 610 57.2 X 161 20450 758 266 193 13.8 1860 4900 302 60.8 457 54.6 W686 X 217 27675 695 355 24.8 15.4 2345 6735 290 184 1040 81.5 X 140 17870 684 254 18.9 12.4 1360 3980 277 51.6 406 53.8 W610 X 155 19740 611 324 19.1 12.7 1290 4230 257 108 667 73.9 X 125 15935 612 2.29 19.6 11.9 985 3210 249 39.3 342 49.5 X 92 11750 603 179 15.0 10.9 645 2145 234 14.4 161 35.1 W533 X 150 192.25 543 312 20.3 12.7 1005 3720 2.29 103 660 73.4 X 124 15675 54-4 212 21.2 13.1 762 2800 2.20 33.9 320 46.5 X 92 11805 533 209 15.6 10.2 554 2080 217 23.9 2.28 45.0 W457 X 14-4 18365 472 283 22.1 13.6 728 3080 199 83.7 592 67.3 X 113 14385 463 280 17.3 10.8 554 2395 196 63.3 452 66.3 X 89 11355 463 192 17.7 10.5 410 1770 190 20.9 218 42 9 W406 X 149 18970 431 265 25.0 14.9 620 2870 180 77.4 585 64 0 X 100 12710 415 26-0 16.9 10.0 397 1915 177 49.5 380 62.5 X 60 7615 407 178 12.8 7.7 216 1060 168 12.0 135 39.9 X 39 4950 399 140 8.8 6.4 12.5 629 159 3.99 57.2 28.4 W356 X 179 22775 368 373 23.9 15.0 574 3115 158 206 1105 95.0 X 12.2 15550 363 257 21.7 13.0 367 2015 154 61.6 480 63.0 X 64 8130 347 203 13.5 7.7 178 102.5 148 18.3 185 48.0 X 45 5710 352 171 9.8 6.9 121 688 146 8.16 95.4 37.3 W305 X 143 18195 323 309 2.2.9 14.0 347 2145 138 112 728 73.5 X 97 12325 308 305 15.4 9.9 222 1440 134 72.4 4'17 76 7 x 74 9485 310 205 16.3 9.4 164 1060 132 23.4 228 49-5 X 45 5670 313 166 11.2 6.6 99.1 633 132 8.45 102 33-6 W254 X 89 11355 260 256 17.3 10.7 142 1095 112 48.3 377 65.3 X 67 8580 2.57 204 15.7 8.9 103 805 110 2.2.2 213 51 I X 45 5705 266 148 13.0 7.6 70.8 531 111 6.95 94.2 34 3 X 33 4185 2.58 146 9.1 6.1 49.1 380 103 4.75 65.1 13.3 W203 X 60 7550 210 205 14.2 9.1 60.8 582 89.7 20.4 200 51 5 x 66 5890 203 203 11.0 7.2 45.8 451 33.1 15.4 152 51-3 X 36 4570 201 165 10.2 6.2 34.5 342 86.7 7.61 92.3 4079 X 2.2 2865 206 I 102 8.0 6.2 20.0 19] 83.6 1.42 27.9 2.2 3 W152 X 37 4735 162 154 11.6 8.1 22.2 274 68.6 7.12 91.9 33 9 x 24 3060 160 102 10.3 ' 6.6 13.4 167 66.0 1.84 36.1 2‘1 5 W127 x 24 3020 121 m 9.1 6.1 8.87 119 54.1 1.11 49.2 323 W102 X 19 106 103 8.8 7.1 4.70 89.5 43.7 1.61 31.] 25 4 2470 'W mam: wide-11mg: bum, followed by the nomiml depth in mm. then the mm: in 113 per meter uflcngth. Page 4 of8 Name: 2. A steel truss loaded as shown is supported by a pin at A and a roller at B. Determine the least weight section for member BD using one of the wide-flanged sections listed on Page 3. Assume a yield stress of400 MPa, .3 load factor of 2.1, and E = 200 x 103. Lateral support is provided at eachjoint. Answer: Page 5 of8 Name: 3. The pin-connected frame Show is supported by a pin at A and a roller at D. The cable gfipporting the 23 kg mass is connected to a wall at G. Determine the x and y components of the forces acting on member ABCD and show them on a sketch. 400 mm Zoo 200 Answer: Page 6 of8 Name: 4. A uniform horizontal boom which has a weight of 0.5 kN/rn is supported by a ball-and-socket at E and by two cables, AB and CD. The vertical load of 15 RN can be applied at any position along the boom. Determine the value ofd ifthe tension in cable CD is 25 kN Answer: Answer: Page 8 of8 Name: ...
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This note was uploaded on 06/22/2008 for the course ENGINEERIN CIV101 taught by Professor Various during the Fall '08 term at University of Toronto- Toronto.

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civ101f_2002_exam - UNIVERSITY OF TORONTO Faculty of...

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