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The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L1=6.6 ft, and L2=19.8 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

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L1=6.6 ft, and L2=19.8 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

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L1=6.6 ft, and L2=19.8 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)?

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L₁ = 6.6 ft, and L₂ = 19.8 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)? L₁ P B L2 с P L₁ -D X A
Transcribed Image Text:The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L₁ = 6.6 ft, and L₂ = 19.8 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)? L₁ P B L2 с P L₁ -D X A
Designation A W24 x 94 24 × 76 24 × 68 24 × 55 W21 x 68 21 x 62 21 x 50 21 x 44 W18 x 55 18 x 50 18 × 40 18 x 35 W16 x 57 16 x 50 16 x 40 16 x 31 Area Depth d W14 × 68 14 × 53 14 x 48 14 × 34 14 x 30 14 x 26 in.2 27.7 22.4 20.1 16.2 20.0 18.3 14.7 13.0 16.2 14.7 11.8 10.3 16.8 14.7 11.8 in. 24.3 23.9 23.7 23.6 20.0 15.6 14.1 10.0 21.1 21.0 20.8 20.7 16.4 16.3 16.0 9.13 15.9 18.1 18.0 17.9 17.7 14.0 13.9 13.8 14.0 8.85 13.8 7.69 13.9 6.49 13.7 Web thickness tw in. 0.515 0.440 0.415 0.395 0.430 0.400 0.380 0.350 0.390 0.355 0.315 0.300 0.430 0.380 0.305 0.275 0.415 0.370 0.340 0.285 0.270 0.255 0.230 Flange width bf in. 9.07 8.99 8.97 7.01 8.27 8.24 6.53 6.50 7.53 7.50 6.02 6.00 7.12 7.07 7.00 5.53 10.0 8.06 8.03 6.75 6.73 5.03 5.00 Flange thickness tr in. 0.875 0.680 0.585 0.505 0.685 0.615 0.535 0.450 0.630 0.570 0.525 0.425 0.715 0.630 0.505 0.440 0.720 0.660 0.595 0.455 0.385 0.420 0.335 Ix in.4 2700 2100 1830 1350 1480 1330 984 843 890 800 612 510 758 659 518 375 722 541 484 340 291 245 199 Sx in.3 222 176 154 114 140 127 94.5 81.6 98.3 88.9 68.4 57.6 92.2 81.0 64.7 47.2 103 77.8 70.2 48.6 42.0 35.3 29.0 in. 9.87 9.69 9.55 9.11 8.60 8.54 8.18 8.06 7.41 7.38 7.21 7.04 6.72 6.68 6.63 6.41 6.01 5.89 5.85 5.83 5.73 5.65 5.54 Ty in.4 109 82.5 70.4 29.1 64.7 57.5 24.9 20.7 44.9 40.1 19.1 15.3 43.1 37.2 28.9 12.4 121 57.7 51.4 23.3 19.6 8.91 7.00 Sy in.3 24.0 18.4 15.7 8.30 15.7 14.0 7.64 6.37 11.9 10.7 6.35 5.12 12.1 10.5 8.25 4.49 24.2 14.3 12.8 6.91 5.82 3.55 2.80 Ty in. 1.98 1.92 1.87 1.34 1.80 1.77 1.30 1.26 1.67 1.65 1.27 1.22 1.60 1.57 1.17 2.46 1.92 1.53 1.49 1.08 1.04
Transcribed Image Text:Designation A W24 x 94 24 × 76 24 × 68 24 × 55 W21 x 68 21 x 62 21 x 50 21 x 44 W18 x 55 18 x 50 18 × 40 18 x 35 W16 x 57 16 x 50 16 x 40 16 x 31 Area Depth d W14 × 68 14 × 53 14 x 48 14 × 34 14 x 30 14 x 26 in.2 27.7 22.4 20.1 16.2 20.0 18.3 14.7 13.0 16.2 14.7 11.8 10.3 16.8 14.7 11.8 in. 24.3 23.9 23.7 23.6 20.0 15.6 14.1 10.0 21.1 21.0 20.8 20.7 16.4 16.3 16.0 9.13 15.9 18.1 18.0 17.9 17.7 14.0 13.9 13.8 14.0 8.85 13.8 7.69 13.9 6.49 13.7 Web thickness tw in. 0.515 0.440 0.415 0.395 0.430 0.400 0.380 0.350 0.390 0.355 0.315 0.300 0.430 0.380 0.305 0.275 0.415 0.370 0.340 0.285 0.270 0.255 0.230 Flange width bf in. 9.07 8.99 8.97 7.01 8.27 8.24 6.53 6.50 7.53 7.50 6.02 6.00 7.12 7.07 7.00 5.53 10.0 8.06 8.03 6.75 6.73 5.03 5.00 Flange thickness tr in. 0.875 0.680 0.585 0.505 0.685 0.615 0.535 0.450 0.630 0.570 0.525 0.425 0.715 0.630 0.505 0.440 0.720 0.660 0.595 0.455 0.385 0.420 0.335 Ix in.4 2700 2100 1830 1350 1480 1330 984 843 890 800 612 510 758 659 518 375 722 541 484 340 291 245 199 Sx in.3 222 176 154 114 140 127 94.5 81.6 98.3 88.9 68.4 57.6 92.2 81.0 64.7 47.2 103 77.8 70.2 48.6 42.0 35.3 29.0 in. 9.87 9.69 9.55 9.11 8.60 8.54 8.18 8.06 7.41 7.38 7.21 7.04 6.72 6.68 6.63 6.41 6.01 5.89 5.85 5.83 5.73 5.65 5.54 Ty in.4 109 82.5 70.4 29.1 64.7 57.5 24.9 20.7 44.9 40.1 19.1 15.3 43.1 37.2 28.9 12.4 121 57.7 51.4 23.3 19.6 8.91 7.00 Sy in.3 24.0 18.4 15.7 8.30 15.7 14.0 7.64 6.37 11.9 10.7 6.35 5.12 12.1 10.5 8.25 4.49 24.2 14.3 12.8 6.91 5.82 3.55 2.80 Ty in. 1.98 1.92 1.87 1.34 1.80 1.77 1.30 1.26 1.67 1.65 1.27 1.22 1.60 1.57 1.17 2.46 1.92 1.53 1.49 1.08 1.04
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