civ101s_2003_exam - UNIVERSITY OF TORONTO Faculty of...

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Unformatted text preview: UNIVERSITY OF TORONTO Faculty of Applied Science and Engineering FINAL EXAMINATION, APRIL 16, 2003 First Year - Programs 1,2,3,4,6,7, 8 and 9 CIV IOIS - STRUCTURES, MATERIALS, AND DESIGN Examiner: Peter M. Wright 7 FAMILY NAME: GIVEN NAMES: m (Please print clearly) STUDENT NUMBER: RN“ CIRCLE MODEL NUMBER OF CALCULATOR CASIO 260 SHARP 520 TI 30 NOTES: 1. Be sure you have all 7 sheets of this examination paper. Page 7 is blank. If you 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. No other paper will be accepted for marking nor allowed on the desk. 4. The permissible calculators are listed above. DO NOT WRITE IN THIS SPACE. l. The beam ABC is supported b (a) Determine the reaction (b) Sketch the shear and m y a smooth collar at A, a roller at B, and a two-force member CD. components at A, B, and C oment diagrams for the beam segment from A to B. Show all key values. 50 I44 . y 2.0 Q 3.; “g 3 Wigwam ‘lxém. 7 Page 3 of8 Name: The steel truss shown is supported by a pin at A and a roller at B. (a) Determine internal forces in members JK, and DK (b) For a different service loading section for member LM from those shown on page 4. Use a load factor of 1.9 E = 200 x103 MPa. stress is 400 MPa.. the compression force in member LM is 320 kN. Select the least weight and assume that the } lClKl Page 4 of 8 Name-' STEEL RECTANGULAR Hollow Structural Sectlons x254 7777’ ‘77“ " Load Ar maximum-mm ewmm ; HSS 305mm: HSS 305x203x12.7 93.0 0.912 11800 147 964 111 1 190 78.1 769 812 896 167 000 6 450 x 11 1111.1 82.4 0.808 10500 132 867 112 1060 70.5 693 81.9 802 _ 149000 5790 ‘ x95 x953 71.3 0.699 9090 116 762 113 925 62.1 611 82.7 701 133000 5080 x 8.0 x 7.95 60.1 0.590 7 660 99.4 652 114 787 53.3 524 83.4 596 111 000 4 340 x 6.4 x 6.35 48.6 0.476 6 190 81.5 535 115 640 43.8 431 84.1 486 69 800 3 550 H58254x152x13 H38254x152x127 72.7 0.713 9 260 75.2 592 90.1 746 33.6 441 60.2 522 78 200 5 160 x 11 x 11.1 64.6 6&4 8 80 68.2 537 91.0 671 30.6 401 61.0 470 70 200 4 660 x 9.5 x 9.53 56.1 0.550 7150 60.3 475 91.9 569 272 357 61.7 413 61 630 4 110 x 8.0 x 7.95 47.5 0.465 6 (50 52.0 409 92.7 503 23.5 309 624 353 52 600 3 530 x 6.4 x 6.35 38.4 0.377 4 900 42.9 338 93.6 411 19.5 256 63.1 290 43 000 2 900 HSS 203x152x13 HSS 203x152x127 62.6 0.614 7 970 43.0 123 73.4 528 27.3 358 58.5 432 56 400 3 870 x 11 x 11.1 55.7 0.547 7 100 $.1 385 74.2 476 24.9 327 59.3 390 50 800 3 530 x 9.5 x 9.53 48.5 0.476 6 180 34.6 343 . 75.1 ‘ 419 &.3 292 60.0 344 44 600 3 150 x 8.0 x 7.95 41.1 0.403 5 240 30.2 87 75.9 360- 19.3 254 60.7 295 36 200 2 730 x 6.4 x 6.35 33.4 0&7 4 80 5.0 246 76.7 295 16.1 211 61.5 243 31 200 2 260 x 4.8 x 4.78 25.5 0.80 3 50 19.5 192 77.5 228 12.6 165 622 188 24 100 1 760 HSS 2(3x102113 HSS 203x102x127 52.4 0.514 6 680 31.2 307 68.4 405 10.2 201 39.1 246 27 000 3 870 ‘ x 11 x 1 1.1 46.9 0.460 5 970 8.7 232 69.3 367 9.46 186 39.6 224 24 600 3 530 x 9.5 x 9.53 40.9. 0.401 5 210 25.6 253 70.3 325 8.56 1% 40.5 199 21 900 3 150 x 8.0 x 7.95 34.6 0.341 4 430 as &1 712 281 ' 7.54 148 41.2 172 18 900 2 730 x 6.4 ~ x 6.35 8.3 .0278 3 610 18.8 185 72.2 82 6.35 125 42.0 143 15 600 2 260 ‘ x 4.8 x 4.78 21.7 0.213 2 760 14.7 145 73.1 180 5.03 V 99.0 427 111 12 200 1 760 I I HSS 176x127x13 HSS 178x1 2711127 524 0.514 6 “0 26.4 87 62.6 377 15.5 243 48.1 298 33 600 3 230 - 4 x 11 x 11.1 46.9 0.460 '5 970 24.2 272 flJ 342 14.2 224 48.8 270 so 400 2 970 ; 1 x 9.5 x 9.53 40.9 0.401 5 210 21.7 244 64.6 303 12.8 202 49.6 240 26 900 2 660 x 8.0 x 7.95 34.8 0.341 4 430 18.9 213 65.4 ' 261 - 11.2 177 50.3 207 z: 100 2 320 x 6.4 x 6.35 5.3 0.276 3 610 15.6 176 66.2 216 9.40 1'48 51.1 171 19 000 1 940 X 4.8 x 4.78 21.7 0213 2 760 12.4 140 67.1 167 ' 7.41 ‘ 117 51.8 133 '14 700 1 520 HSS152X1QX11 HSS1521102X11.1 38.0 0.373 4840 13.6 179 53.1 250 7.13 140 38.4 172 16300 2400 x 9.5 319.53 33.3 0.327 4 240 12.4 162 54.0 205 6.50 128 39.1 154‘ 14 500 2 180 ‘ x 8.0 x 7.95 28.4 0.279 3 m 10.9 143 54.8 - 178 5.76 113 39.9 134 12 600 1 920 _ x 6.4 x 6.35 8.2 0&8 2 960 9.18 121 55.7 148 4.68 96.1 40.6 112 10 500 1 610 x 4.8 x 4.78 17.9 0.175 2 80 7.23 95.6 56.5 116 3.89 76.6 41.3 8758 8 160 1 270 HSS 127x76$5 HSS 127x7626.53 25.7 0.252 3260 6.12 96.4 43.2 126 2.69 70.5 $6 67 6 600 1 690 x 8.0 x 7.95 221 0.217 2 620 5.49 86.4 44.1 111 2.43 63.8 8.4 77.2 5 810 1 510 x 6.4 x 6.35 18.2 0.176 2 320 4.70 74.0 45.1 93.3 2.10 55.1 30.1 65.2 4 890 1 290 x 4.8 x 4.78 14.1 0.138 1 790 3.78 59.5 45.9 73.8 1.70 44.7 30.8 51.7 3 860 1 030 HSS 1271164195 HSS 12716351953 2.3.8. 0&4 3 (no 53 83.2 41.7 112 1.70 53.6 8.7 67.4 4 640 690 x 8.0 x 7.95 20.5 0.201 2 610 4.77 ' 75.1 42.7 96.9 1.56 49.1 24.4 60.0 4 130 510 x 6.4 x 6.35 16.9 0.166 2150 4.11 64.8 43.7 83.6 1.36 42.9 25.1 51.0 3 510 x 4.8 x 4.78 13.1 0.129 1 670 3.33 52.4 44.6 66.3 1.12 35.2 25.9 40.7 2 800 HSS 127151395 HSS 1276083953 21.9 0.215 2 790 4.45 70.0 39.9 97.7 0.961 37.8 18.6 48.9 2 930 x 6.0 x 7.95 18.9 0.186 2 410 4.15 63.8 41.0 66.9 0.897 35.3 19.3 44.0 2 650 x 6.4 x 6.35 15.6 0.153 1 990 3.53 55.5 42.1 73.6 - 0.798 31.4 23.0 37.9 2 30 x 4.8 x 4.78 122 0.119 1 550 267 45.3 43.1 58.9 0.665 262 20.7 30.5 1 350 HSS 1023176365 HSS 10230627953 21.9 0.215 2 790 3.41 67.2 35.0 87.6 2.15 56.3 27.7 71.3 4 710 x 8.0 x 7.95 16.9 0.186 2 410 3.10 61.0 35.8 77.7 1.96 51.4- 285 63.5 4 170 x 6.4 x 6.35 15.6 0.153 1 990 268 528 36.7 65.9 1.71 44.8 3.3 54.0 3 530 x 4.8 x 4.78 122 0.119 1 550 2.18 43.6 37.5 52.5 139 36.6 30.0 43.1 2 800 HSS 102611160 HSS 10850811795 15.6 0.155 2 010 2.21 - 43.5 33.2 58.8 0.709 27.9 18.8 35.4 1 950 x 6.4 x 6.35 13.1 0.129 1 670 1.95 38.4 34.2 50.6 0.638 25.1 19.5 30.7 1 M x 4.8 x 4.78 10.3 0.101 1 310 1.61 31.8 35.1 40.6 0.536 21.1 20.3 24.9 1 370 x 3.8 x 3.81 8.37 0.062 1 070 1.36 26.8 35.7 33.9 0.456 18.0 20.7 20.8 1 140 x 3.2 x 3.18 7.09 0.069 903 1.17 23.1 36.1 29.0 0.397 15.6 21.0 17.9 979 HSS 89:60:80 HSS 88.9X63.5x7.95 15.8 0.155 2 010 1.87 42.1 30.5 54.9 1.09 34.3 23.3 43.2 2 450 x 6.4 x 6.35 13.1 0.129 1 670 1.65 37.1 31.4 47.1 0.966 30.4 24.0 37.2 2 100 x 4.8 x 4.78 10.3 0.101 1 310 1.3 30.6 32.3 38.0 0.803 25.3 24.8 30.1 1 890 K 3.8 x 3.81 ~ 6.37 0&2 1 070 1.15 25.8 32.8 31.5 0.679 21.4 3.2 25.0 '1 400 x 3.2 x 3.18 7.09 0.069 903 0.990 as 33.1 27.0 0.588 18.5 5.5 21.4 1 190 1 H53 76x51x8.0 HSS 76.350.8x7.95' 12.6 0.123 1 600 1.01 26.6 25.1 35.9 0.5a 20.5 18.0 26.7 1 270 x 6.4 x 6.35 10.6 0.104 1 30 0.917 24.1 26.1‘ 31.4 0.477 18.8 16.8 23.5 1 11° 1 x 4.8 x 4.76 8.35 0.082 1 060 0.774 20.3 27.0 5.7 0.407 16.0 19.6 19.3 911 ' x 3.8 x 3.61 6.85 0.067 672 0.660 17.3 27.5 21.6 0.349 13.8 20.0 HSS 51163.2 HSS 50.8x25.4)6.18 3.28 31: 1.7.1 1 L1) Page 5 of 8 Name: The cross—section of a salt-water tank with an inclined bottom is shown below. In the bottom there is a uniformly-thick gate (1.6 m x 2 m) which is hinged at B and supported by a roller at A. The gate which has a weight of 10 kN can be opened by means of the cable at A. The density of the salt-water is 1.04 Mg/m". Determine the tension in the cable just before the gate opens. Page 6 of 8 Name: m 4‘ The uniformly thick plate ABCDEF is sup plate has a mass of 480 kg, and the bar bet and the reaction components at G. ported by a ball-and-socket at A, a ring at G, and a cable CH. The ween G and F has negligible mass. Determine the force in the cable 5. A steel beam is fabricated from a W406 x 60 and two plates 10 mm x 500 mm which are welded to the flanges of the wide-flanged section as shown. The properties of W406 x 60 sections are also shown below. Determine the maximum bending moment which can be applied before any yielding of the material occurs. Assume that steel is linearly elastic and the yield stress is 380 MPa. Sketch a sideview of the stress distribution showing key values X. W406 x 60 1% WideFlonge Beams (SI Units) FLANGE Web AXIS X~X AXIS Y—Y ' A - . R a I Thick- Thick- I S I S Desig: Arc: Depth Width ness ncss (10‘ (10J r (106 (10J r nauon (mm ) (mm) (mm) (mm) (mm) mm‘) mm’) (mm) mm‘) mm’) (mm) x—r —X W406 X 149 18970 431 265 25 0 l4 9 620 2870 180 . . 77.4 585 64.0 X 100 12710 415 260 16.9 10.0 397 1915 177 49.5 380 62.5 X 60 7615 407 178 12.8 7.7 216 1060 163 12.0 135 39.9 A X 39 4950 399 140 8.8 6.4 125 629 159 3.99 57.2 28.4 ...
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civ101s_2003_exam - UNIVERSITY OF TORONTO Faculty of...

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