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An S457x81 American standard steel beam is loaded and supported as shown in the figure. The segments of the beam are connected with a smooth pin at D. Determine the maximum tensile and compressive flexural stresses in the beam. Smooth pin 80 kN/m 40 kN/m 40 kN/m |A |D F 1.5 m B 2 m 1 m E 1.5 m 1.5 m

An S457x81 American standard steel beam is loaded and supported as shown in the figure. The segments of the beam are connected with a smooth pin at D. Determine the maximum tensile and compressive flexural stresses in the beam. Smooth pin 80 kN/m 40 kN/m 40 kN/m |A |D F 1.5 m B 2 m 1 m E 1.5 m 1.5 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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An S457x81 American standard steel beam is loaded and supported as shown in the figure. The segments of the beam are connected with a smooth pin at D. Determine the maximum tensile and compressive flexural stresses in the beam. Smooth pin 80 kN/m 40 kN/m 40 kN/m |A |D F| C to 1.5 m 2 m 1m 1.5 m E 1.5 m
Transcribed Image Text:An S457x81 American standard steel beam is loaded and supported as shown in the figure. The segments of the beam are connected with a smooth pin at D. Determine the maximum tensile and compressive flexural stresses in the beam. Smooth pin 80 kN/m 40 kN/m 40 kN/m |A |D F| C to 1.5 m 2 m 1m 1.5 m E 1.5 m
I Table B-4 American Standard Beams (SI Unlis) Аxis X-X Акis Y-Y I (106 S (10 mm*) mm') Flange Web I (10 mm*) S (10 mm') Area Designation (mm?) (mm) (mm) Depth Width Thickness Thickness (mm) (mm) (mm) (mm) S610 x 180 22970 622.3 204.5 27.7 20.3 1315 4225 240 34.7 339 38.9 х 158 х 149 x 134 х 119 S508 x 143 х 128 х 112 х 98 S457 x 104 x 81 S381 x 74 20130 622.3 199.9 27.7 15.7 1225 3935 247 32.1 321 39.9 18900 609.6 184.0 22.1 18.9 995 3260 3065 229 234 241 196 200 194 199 19.9 216 32.3 17100 609.6 181.0 22.1 15.9 937 18.7 206 33.0 2870 2705 2540 2100 15160 609.6 177.8 22.1 12.7 874 17.6 198 34.0 33.8 34.5 29.5 18190 515.6 182.9 23.4 20.3 695 20.9 228 16320 515.6 179.3 14190 508.0 162.2 508.0 23.4 20.2 20.2 16.8 658 533 19.5 12.4 218 153 145 16.1 12520 158.9 12.8 1950 11.5 10.0 495 30.2 1690 1465 158.8 18.1 11.7 358 335 13290 457.2 17.6 170 127 27.4 10390 457.2 152.4 29.0 17.6 15.8 180 8.66 114 9485 14.0 6.53 91.3 85.7 94.1 84.6 381.0 143.3 202 1060 146 26.2 х 64 381.0 304.8 7740 304.8 133.4 8130 139.7 15.8 10.4 186 977 151 5.99 27.2 127 113 832 744 6.53 5.66 S305 x 74 9485 139.1 16.7 17.4 11.7 116 26.2 х 61 x 52 x 47 16.7 121 26.9 6645 304.8 129.0 13.8 10.9 95.3 626 120 4.11 63.7 24.1 6030 304.8 13.8 90.7 61.2 127.0 8.9 596 123 3.90 61.3 25.4 482 22.9 24.2 20.3 21.1 18.6 S254 x 52 6645 254.0 125.6 12.5 15.1 96.0 3.48 55.4 х 38 S203 x 34 4815 254.0 118.4 12.5 7.9 51.6 408 103 2.83 47.7 4370 203.2 105.9 10.8 11.2 27.0 265 78.7 1.79 33.9 x 27 S178 x 30 x 23 S152 x 26 х 19 3490 203.2 101.6 10.8 6.9 24.0 236 82.8 1.55 30.5 26.9 23.6 21.3 3795 177.8 98.0 10.0 11.4 17.6 198 172 68.3 1.32 2905 177.8 93.0 10.0 6.4 15.3 72.6 1.10 19.5 3270 152.4 90.6 9.1 11.8 10.9 144 57.9 0.961 17.1 2370 152.4 84.6 9.1 5.9 9.20 121 62.2 0.758 17.9 17.9 S127 x 22 2800 127.0 83.4 8.3 12.5 6.33 99.8 47.5 0.695 16.6 15.7 х 15 S102 x 14 x 11 S76 x 11 x 8.5 *S means standard beam, followed by the nominal depth in mm, then the mass in kg per meter of length. 8.3 13.3 16.3 14.5 14.8 1895 127.0 76.3 5.4 5.12 80.6 52.1 0.508 1800 1460 101.6 76.2 55.6 49.8 0.376 0.318 101.6 71.0 7.4 8.3 2.83 39.6 10.6 67.6 7.4 4.9 2.53 41.7 9.41 1425 63.7 6.6 8.9 1.22 32.0 29.2 0.244 7.67 13.1 1075 76.2 59.2 6.6 4.3 1.05 27.5 31.2 0.189 6.39 13.3
Transcribed Image Text:I Table B-4 American Standard Beams (SI Unlis) Аxis X-X Акis Y-Y I (106 S (10 mm*) mm') Flange Web I (10 mm*) S (10 mm') Area Designation (mm?) (mm) (mm) Depth Width Thickness Thickness (mm) (mm) (mm) (mm) S610 x 180 22970 622.3 204.5 27.7 20.3 1315 4225 240 34.7 339 38.9 х 158 х 149 x 134 х 119 S508 x 143 х 128 х 112 х 98 S457 x 104 x 81 S381 x 74 20130 622.3 199.9 27.7 15.7 1225 3935 247 32.1 321 39.9 18900 609.6 184.0 22.1 18.9 995 3260 3065 229 234 241 196 200 194 199 19.9 216 32.3 17100 609.6 181.0 22.1 15.9 937 18.7 206 33.0 2870 2705 2540 2100 15160 609.6 177.8 22.1 12.7 874 17.6 198 34.0 33.8 34.5 29.5 18190 515.6 182.9 23.4 20.3 695 20.9 228 16320 515.6 179.3 14190 508.0 162.2 508.0 23.4 20.2 20.2 16.8 658 533 19.5 12.4 218 153 145 16.1 12520 158.9 12.8 1950 11.5 10.0 495 30.2 1690 1465 158.8 18.1 11.7 358 335 13290 457.2 17.6 170 127 27.4 10390 457.2 152.4 29.0 17.6 15.8 180 8.66 114 9485 14.0 6.53 91.3 85.7 94.1 84.6 381.0 143.3 202 1060 146 26.2 х 64 381.0 304.8 7740 304.8 133.4 8130 139.7 15.8 10.4 186 977 151 5.99 27.2 127 113 832 744 6.53 5.66 S305 x 74 9485 139.1 16.7 17.4 11.7 116 26.2 х 61 x 52 x 47 16.7 121 26.9 6645 304.8 129.0 13.8 10.9 95.3 626 120 4.11 63.7 24.1 6030 304.8 13.8 90.7 61.2 127.0 8.9 596 123 3.90 61.3 25.4 482 22.9 24.2 20.3 21.1 18.6 S254 x 52 6645 254.0 125.6 12.5 15.1 96.0 3.48 55.4 х 38 S203 x 34 4815 254.0 118.4 12.5 7.9 51.6 408 103 2.83 47.7 4370 203.2 105.9 10.8 11.2 27.0 265 78.7 1.79 33.9 x 27 S178 x 30 x 23 S152 x 26 х 19 3490 203.2 101.6 10.8 6.9 24.0 236 82.8 1.55 30.5 26.9 23.6 21.3 3795 177.8 98.0 10.0 11.4 17.6 198 172 68.3 1.32 2905 177.8 93.0 10.0 6.4 15.3 72.6 1.10 19.5 3270 152.4 90.6 9.1 11.8 10.9 144 57.9 0.961 17.1 2370 152.4 84.6 9.1 5.9 9.20 121 62.2 0.758 17.9 17.9 S127 x 22 2800 127.0 83.4 8.3 12.5 6.33 99.8 47.5 0.695 16.6 15.7 х 15 S102 x 14 x 11 S76 x 11 x 8.5 *S means standard beam, followed by the nominal depth in mm, then the mass in kg per meter of length. 8.3 13.3 16.3 14.5 14.8 1895 127.0 76.3 5.4 5.12 80.6 52.1 0.508 1800 1460 101.6 76.2 55.6 49.8 0.376 0.318 101.6 71.0 7.4 8.3 2.83 39.6 10.6 67.6 7.4 4.9 2.53 41.7 9.41 1425 63.7 6.6 8.9 1.22 32.0 29.2 0.244 7.67 13.1 1075 76.2 59.2 6.6 4.3 1.05 27.5 31.2 0.189 6.39 13.3
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