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The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 14.7 ksi. Assume P = 39 kips, L₁= 2.1 ft, and L2 = 6.3 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? A Designation X Wide Flange Sections or W Shapes-U.S. Customary Units Wid Ar Depà thicknes 2 Flange Flor with Blickass by " W24x94 24 x M 2455 W21x lb 21x12 21 x 44 WI8X55 18x50 18 x 40 18x35 Win 87 16x50 16x40 16 x 31 IN PEM 14 x 26 x 22 14 ¹7 in.³ (b) W i i (c) W = i In 21.7 243 0515 114 259 201 285 162 216 0.345 0415 200 21.1 043) 0.400 163 21.0 ww ww 34.7 20.8 0.380 114 0.199 16.7 163 181 0.749 B 147 180 (14 Answer: (a) Smin = i AXE 14:53 14×48 341 138 14×34 300 140 14x30 8.39 138 191 LIE IND 0.311 113 12.9 0313 30.3 17.3 0,300 IM 164 M 14.7 11.4 160 0.315 9.13 159 0.275 200 14.0 0413 154 135 13.9 0.370 m. in. www 369 139 6.49 13.7 1410 643) WED caro 0343 0.245 0.73 0.255 0.230 M. 4 4.97 201 827 824 651 050 9.07 0.875 11/01 0.585 INY 741 7.91 6.12 600 353 www L2 140 4.00 6.75 671 4 500 500 In M 7.12 7.07 700 0505 0305 QARS 0615 0503 DANI LAVO 0.531 0.325 0.425 0.715 860 0630 0.995 0455 1, 0.009 0430 0.335 2700 WHILE 1830 1300 164 LIN 1880 14000 140 127 MMI HRI 612 510 754 518 0400 375 0.731 0.000 169 601 722 541 484 3400 291 243 ww 8₂ 199 In 222 I'M 134 114 10 945 NI A AFR 943 741 018 7.38 644 2.21 57.6 7.04 922 612 P 6.68 647 77.8 702 486 4201 35.3 NO 290 Fy in. In in/ 987 109 24.0 ww 41.3 114 2004 15.3 8.30 WIN L₁ 9.11 201 810 64.7 15.9 854 575 140 200 8.18 249 20.7 W 4, 5.85 583 ATS 3.65 5.54 =D 19.1 15.3 411 24.9 641 124 's 419 119 40.1 307 K 5.12 TA 764 6.17 12.1 10.5 8.25 4.49 ADI 121 24.2 5.50 37.7 14) 314 12.8 21.3 5.42 3.35 1.80 4 H. 1.98 1.43 1.47 1.34 1.00 1.77 1.30 1.36 1.67 141 1.2) 140 www 1.99 1.57 1.19 2.46 1.92 191 1.53 149 1.06 ** 1.04

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 14.7 ksi. Assume P = 39 kips, L₁= 2.1 ft, and L2 = 6.3 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? A Designation X Wide Flange Sections or W Shapes-U.S. Customary Units Wid Ar Depà thicknes 2 Flange Flor with Blickass by " W24x94 24 x M 2455 W21x lb 21x12 21 x 44 WI8X55 18x50 18 x 40 18x35 Win 87 16x50 16x40 16 x 31 IN PEM 14 x 26 x 22 14 ¹7 in.³ (b) W i i (c) W = i In 21.7 243 0515 114 259 201 285 162 216 0.345 0415 200 21.1 043) 0.400 163 21.0 ww ww 34.7 20.8 0.380 114 0.199 16.7 163 181 0.749 B 147 180 (14 Answer: (a) Smin = i AXE 14:53 14×48 341 138 14×34 300 140 14x30 8.39 138 191 LIE IND 0.311 113 12.9 0313 30.3 17.3 0,300 IM 164 M 14.7 11.4 160 0.315 9.13 159 0.275 200 14.0 0413 154 135 13.9 0.370 m. in. www 369 139 6.49 13.7 1410 643) WED caro 0343 0.245 0.73 0.255 0.230 M. 4 4.97 201 827 824 651 050 9.07 0.875 11/01 0.585 INY 741 7.91 6.12 600 353 www L2 140 4.00 6.75 671 4 500 500 In M 7.12 7.07 700 0505 0305 QARS 0615 0503 DANI LAVO 0.531 0.325 0.425 0.715 860 0630 0.995 0455 1, 0.009 0430 0.335 2700 WHILE 1830 1300 164 LIN 1880 14000 140 127 MMI HRI 612 510 754 518 0400 375 0.731 0.000 169 601 722 541 484 3400 291 243 ww 8₂ 199 In 222 I'M 134 114 10 945 NI A AFR 943 741 018 7.38 644 2.21 57.6 7.04 922 612 P 6.68 647 77.8 702 486 4201 35.3 NO 290 Fy in. In in/ 987 109 24.0 ww 41.3 114 2004 15.3 8.30 WIN L₁ 9.11 201 810 64.7 15.9 854 575 140 200 8.18 249 20.7 W 4, 5.85 583 ATS 3.65 5.54 =D 19.1 15.3 411 24.9 641 124 's 419 119 40.1 307 K 5.12 TA 764 6.17 12.1 10.5 8.25 4.49 ADI 121 24.2 5.50 37.7 14) 314 12.8 21.3 5.42 3.35 1.80 4 H. 1.98 1.43 1.47 1.34 1.00 1.77 1.30 1.36 1.67 141 1.2) 140 www 1.99 1.57 1.19 2.46 1.92 191 1.53 149 1.06 ** 1.04

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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The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 14.7 ksi. Assume P = 39 kips, L₁= 2.1 ft, and L₂ = 6.3 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? Designation X Wide-lange Sections or W Shapes-U.S. Customary Units Wich thes f Flange Flatar thickness with by 4 24 x 36 24 x 24 x 55 21 x M 21 x 50 21 x 44 W18 x 55 18 x 50 18 x 40 18 x 35 lb 16 x 50 16 x 40 16 x 11 W 14x 14 x 53 14x48 14 x 34 14 x 30 14 x 21 26 14 x 22 in.³ 3 (b) W i L₁ (c) W = i Area Depa Dep d in.³ In. 27.7 24.3 0515 0-40 11.4 20.1 Answer: | B 200 18.3 34.7 (a) Smin = i 25.9 23,7 21.J 21.0 213 13.0 2017 16.2 181 14.7 180 11.3 17.9 0315 10.3 17.3 0300 0413 0.395 0:400 WAN 16.8 0-430 34.7 0.390 11.4 0305 9.13 159 0.275 200 0415 નાક 140 15.6 13.9 0.370 14.1 13.8 10.0 140 164 16.3 160 0.352 0.740 0.285 0.270 8.59 13.8 140 120 3.69 139 20 0.255 6.49 135 0.230 Asw 9.07 xw 8.27 v 6.53 6590 741 6.12 6.00 7.12 7.07 7.00 5.53 14.0 8.03 L2 5.08 5.00 In. 0.875 11.091 0.505 0.615 0.535 1630 0.570 0.425 0.715 0.630 0505 0.490 0.731 0.995 0.385 040 0.335 1₂ In.¹ 2700 21001 1830 1480 1330 way 984 83 1541 MINI 612 510 M 518 375 541 484 300 291 199 In.¹ 222 176 154 114 8.60 way 945 8.18 31.6 %D6 9845 2009 127 Ber 5₂ in. 957 9.50 9.55 322 810 7.38 L₁ 1, in. 109 70.2 5.85 486 5.83 4201 35.3 29.0 24.0 1K4 MA 15.7 29.1 684 19.1 57.6 7.04 153 S₂ 64.7 15.7 575 14.0 w 24.9 449 11.9 40.1 107 124 6.35 5.12 6:41 6.DI 121 115 24.2 77.8 5.89 57.7 143 8.25 4.49 3 1.80 1.77 7.64 1.30 6.37 1.35 69 SLA 12.8 233 5.73 196 SAS 8.91 39 5.82 5.65 3.55 5.54 7.00 2.80 D X 6.72 43.1 11.1 1.60 6.68 372 10.5 1.59 1.57 1.17 246 1.92 7, 11. 1.98 1.92 1.87 1.34 1.67 1.41 1.91 1.53 1.49 1:09 1.08 1.04 X
Transcribed Image Text:The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 14.7 ksi. Assume P = 39 kips, L₁= 2.1 ft, and L₂ = 6.3 ft. (a) Determine the minimum section modulus required for this beam. (b) From the table below, select the lightest W shape that can be used for this beam. (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)? Designation X Wide-lange Sections or W Shapes-U.S. Customary Units Wich thes f Flange Flatar thickness with by 4 24 x 36 24 x 24 x 55 21 x M 21 x 50 21 x 44 W18 x 55 18 x 50 18 x 40 18 x 35 lb 16 x 50 16 x 40 16 x 11 W 14x 14 x 53 14x48 14 x 34 14 x 30 14 x 21 26 14 x 22 in.³ 3 (b) W i L₁ (c) W = i Area Depa Dep d in.³ In. 27.7 24.3 0515 0-40 11.4 20.1 Answer: | B 200 18.3 34.7 (a) Smin = i 25.9 23,7 21.J 21.0 213 13.0 2017 16.2 181 14.7 180 11.3 17.9 0315 10.3 17.3 0300 0413 0.395 0:400 WAN 16.8 0-430 34.7 0.390 11.4 0305 9.13 159 0.275 200 0415 નાક 140 15.6 13.9 0.370 14.1 13.8 10.0 140 164 16.3 160 0.352 0.740 0.285 0.270 8.59 13.8 140 120 3.69 139 20 0.255 6.49 135 0.230 Asw 9.07 xw 8.27 v 6.53 6590 741 6.12 6.00 7.12 7.07 7.00 5.53 14.0 8.03 L2 5.08 5.00 In. 0.875 11.091 0.505 0.615 0.535 1630 0.570 0.425 0.715 0.630 0505 0.490 0.731 0.995 0.385 040 0.335 1₂ In.¹ 2700 21001 1830 1480 1330 way 984 83 1541 MINI 612 510 M 518 375 541 484 300 291 199 In.¹ 222 176 154 114 8.60 way 945 8.18 31.6 %D6 9845 2009 127 Ber 5₂ in. 957 9.50 9.55 322 810 7.38 L₁ 1, in. 109 70.2 5.85 486 5.83 4201 35.3 29.0 24.0 1K4 MA 15.7 29.1 684 19.1 57.6 7.04 153 S₂ 64.7 15.7 575 14.0 w 24.9 449 11.9 40.1 107 124 6.35 5.12 6:41 6.DI 121 115 24.2 77.8 5.89 57.7 143 8.25 4.49 3 1.80 1.77 7.64 1.30 6.37 1.35 69 SLA 12.8 233 5.73 196 SAS 8.91 39 5.82 5.65 3.55 5.54 7.00 2.80 D X 6.72 43.1 11.1 1.60 6.68 372 10.5 1.59 1.57 1.17 246 1.92 7, 11. 1.98 1.92 1.87 1.34 1.67 1.41 1.91 1.53 1.49 1:09 1.08 1.04 X
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