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Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m B 4 m 2.4 m

Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m B 4 m 2.4 m

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m 4 m -2.4 m· -x X- TABLE B-3 Properties of I-Beam Sections (S-Shapes): SI Units Flange Axis Y-Y Web X-X spxy Mass Area Width ıdə (wu) Thickness thickness Pl1 = S (10³ mm³) yli^ = 4 (10° mm*) (u) 27.7 27.7 22.1 Designation (10° mm*) (ww) 20.3 (ww) 38.9 („ww) (ww) (ww) 081 158 006 77 622 622 204 1 320 1 220 081 x 019S 4 230 240 34.5 338 × 158 x 149 x 134 007 184 15.7 3930 3 260 247 O'ZE 19.7 320 001 07 6'6E 32.3 006 81 00 I 15 200 149 6'81 15.9 166 937 677 234 019 215 134 181 22.1 090 € 2870 019 18.6 205 33.0 611 22.1 12.7 874 241 17.5 197 61I x 34.0 019 S510 × 143 143 18 200 16300 14 200 12 500 91S 91S 183 23.4 23.4 20.2 20.3 16.8 S69 653 2 700 20.8 228 x 128 x 112 × 98.2 128 112 33.8 34.5 29.5 179 961 2 540 007 194 19.4 80s 508 216 152 162 16.1 533 001 7 1950 12.3 98.2 20.2 12.8 495 6SI 11.4 144 30.2 661 S460 × 104 104 13 200 457 6SI 152 9'LI 17.6 18.1 384 333 170 O'0l 8.62 126 27.4 x 81.4 069 I 81.4 10 300 457 11.7 113 29.0 09 I 081 S380 x 74 x 64 74.0 9480 188 381 143 15.8 14.0 202 090 I 973 146 6.49 9'06 85.0 26.2 64.0 8 130 140 15.8 151 5.95 26.9 981 S310 x 74 74.0 9420 305 139 133 16.7 17.4 911 121 6.49 93.2 26.2 x 60.7 × 52 × 47.3 60.7 678 089 L 305 305 16.7 112 94.9 11.7 6EL 624 5.62 84.1 26.9 52.0 6580 671 127 13.8 13.8 6'01 120 4.10 63.6 24.9 47.3 0109 305 90.3 593 123 88'E 3.45 25.4 68'8 l'19 S250 x 52 52.0 6650 254 125 12.5 61.2 482 0'96 103 I'SI 55.1 22.8 × 37.8 37.8 254 118 12.5 06'L 11.2 51.2 403 47.4 24.1 08°7 S200 x 34 34.0 09E 203 203 901 102 10.8 10.8 26.9 265 78.5 1.78 33.6 20.2 × 27.4 27.4 3480 6.88 23.9 82.8 1.54 30.2 21.0 S150 x 25.7 25.7 18.6 3 260 152 L'06 84.6 9.12 11.8 6'01 9.16 143 57.9 0.953 21.0 17.1 x 18.6 09E 7 152 9.12 68'S 5.44 120 62.2 0.749 17.7 17.8 S130 x 15 15.0 068 I 127 76.2 8.28 5.12 80.3 0.495 13.0 16.2 s100 x 14.1 14.1 008 I 102 09¢ I 102 71.1 7.44 8.28 2.81 55.4 39.6 69E*0 0.311 10.4 14.3 x 11.5 11.5 67.6 7.44 2.52 49.7 41.7 9.21 14.6 06' S75 x 11.2 × 8.5 11.2 8.50 1420 76.2 63.8 59.2 98'8 4.32 1.21 31.8 29.2 0.241 7.55 6.28 13.0 13.2 09'9 1070 76.2 1.04 27.4 31.2 0.186 09'9
Transcribed Image Text:Find the lightest S-shape for the beam shown if the working stress in bending is 175 MPa. What is the maximum bending stress in the beam selected? 50 kN/m 4 m -2.4 m· -x X- TABLE B-3 Properties of I-Beam Sections (S-Shapes): SI Units Flange Axis Y-Y Web X-X spxy Mass Area Width ıdə (wu) Thickness thickness Pl1 = S (10³ mm³) yli^ = 4 (10° mm*) (u) 27.7 27.7 22.1 Designation (10° mm*) (ww) 20.3 (ww) 38.9 („ww) (ww) (ww) 081 158 006 77 622 622 204 1 320 1 220 081 x 019S 4 230 240 34.5 338 × 158 x 149 x 134 007 184 15.7 3930 3 260 247 O'ZE 19.7 320 001 07 6'6E 32.3 006 81 00 I 15 200 149 6'81 15.9 166 937 677 234 019 215 134 181 22.1 090 € 2870 019 18.6 205 33.0 611 22.1 12.7 874 241 17.5 197 61I x 34.0 019 S510 × 143 143 18 200 16300 14 200 12 500 91S 91S 183 23.4 23.4 20.2 20.3 16.8 S69 653 2 700 20.8 228 x 128 x 112 × 98.2 128 112 33.8 34.5 29.5 179 961 2 540 007 194 19.4 80s 508 216 152 162 16.1 533 001 7 1950 12.3 98.2 20.2 12.8 495 6SI 11.4 144 30.2 661 S460 × 104 104 13 200 457 6SI 152 9'LI 17.6 18.1 384 333 170 O'0l 8.62 126 27.4 x 81.4 069 I 81.4 10 300 457 11.7 113 29.0 09 I 081 S380 x 74 x 64 74.0 9480 188 381 143 15.8 14.0 202 090 I 973 146 6.49 9'06 85.0 26.2 64.0 8 130 140 15.8 151 5.95 26.9 981 S310 x 74 74.0 9420 305 139 133 16.7 17.4 911 121 6.49 93.2 26.2 x 60.7 × 52 × 47.3 60.7 678 089 L 305 305 16.7 112 94.9 11.7 6EL 624 5.62 84.1 26.9 52.0 6580 671 127 13.8 13.8 6'01 120 4.10 63.6 24.9 47.3 0109 305 90.3 593 123 88'E 3.45 25.4 68'8 l'19 S250 x 52 52.0 6650 254 125 12.5 61.2 482 0'96 103 I'SI 55.1 22.8 × 37.8 37.8 254 118 12.5 06'L 11.2 51.2 403 47.4 24.1 08°7 S200 x 34 34.0 09E 203 203 901 102 10.8 10.8 26.9 265 78.5 1.78 33.6 20.2 × 27.4 27.4 3480 6.88 23.9 82.8 1.54 30.2 21.0 S150 x 25.7 25.7 18.6 3 260 152 L'06 84.6 9.12 11.8 6'01 9.16 143 57.9 0.953 21.0 17.1 x 18.6 09E 7 152 9.12 68'S 5.44 120 62.2 0.749 17.7 17.8 S130 x 15 15.0 068 I 127 76.2 8.28 5.12 80.3 0.495 13.0 16.2 s100 x 14.1 14.1 008 I 102 09¢ I 102 71.1 7.44 8.28 2.81 55.4 39.6 69E*0 0.311 10.4 14.3 x 11.5 11.5 67.6 7.44 2.52 49.7 41.7 9.21 14.6 06' S75 x 11.2 × 8.5 11.2 8.50 1420 76.2 63.8 59.2 98'8 4.32 1.21 31.8 29.2 0.241 7.55 6.28 13.0 13.2 09'9 1070 76.2 1.04 27.4 31.2 0.186 09'9
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