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esign a timber beam of hem-fir (S45) to support a uniformly distributed line load of 250 Ib/ft on a simply supported span of 6 ft. Deflection is not to exceed span/300. SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD TABLE E.1 U.S. Customary units A in. Wt. I ,in S, in. Nominal Size in. Dressed Size in. 1x 3) 2x4 5.25 1.46 5.36 306 x 5) x 7 x6 8.25 2.29 20.8 756 Ms ceter 109 3.02 47.6 13.1 x 10 x9 139 385 989 21.4 x 12 x 11 169 468 178 31.6 dun al ceer x 14 x 16 x 18 x 13 x 15 x 17 199 5.52 291 439 - 2+) 229 635 443 582 Monet 259 7.17 642 745 2) x 3) x5) 3x4 8.75 242 893 5.10 TABLE F.1 U.S. Customary units x6 13.8 3.82 34.7 126 x 7 181 5.04 79.4 21.9 Allowable Stress (psi) Modulus of Elasticity E (ksi) x 10 x9 23.1 6.42 165 35.6 Species F. x 12 x 11 281 781 297 52.7 Douglas fir 1050 550 625 900 180 1700 x 14 x 13] 33.1 9.20 485 732 x 16 x 18 Southern pine 1250 410 825 1400 175 1700 x 15] 381 10.6 739 969 Hem-fir 1300 400 500 1000 150 1400 x 17 43.1 120 1070 124 Eastern while pine 350 275 600 135 1100 3) x 3) 123 3.40 4x4 125 7.15 Redwood 1050 650 600 1000 160 1300 x5) x6 193 5.35 48.5 176 "Alowable stresses Fe compression paralel to gain F compression perpendicular to grain Fe tension paralel to gain F bending F, horizontal shear x7 25.4 7.05 111 30.7 x 10 х 12 x 14 x 16 x 18 324 893 231 499 x 11 39.4 109 415 73.8 x 13] 46.4 129 678 102 x 15) 534 149 1030 136 x 17 60.4 168 1500 174 Notes Properties and weights are for dresed siaes. Asumed unit weight of timber is 40 pef. Moment of inertia and section modulus are about the streng axis

esign a timber beam of hem-fir (S45) to support a uniformly distributed line load of 250 Ib/ft on a simply supported span of 6 ft. Deflection is not to exceed span/300. SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD TABLE E.1 U.S. Customary units A in. Wt. I ,in S, in. Nominal Size in. Dressed Size in. 1x 3) 2x4 5.25 1.46 5.36 306 x 5) x 7 x6 8.25 2.29 20.8 756 Ms ceter 109 3.02 47.6 13.1 x 10 x9 139 385 989 21.4 x 12 x 11 169 468 178 31.6 dun al ceer x 14 x 16 x 18 x 13 x 15 x 17 199 5.52 291 439 - 2+) 229 635 443 582 Monet 259 7.17 642 745 2) x 3) x5) 3x4 8.75 242 893 5.10 TABLE F.1 U.S. Customary units x6 13.8 3.82 34.7 126 x 7 181 5.04 79.4 21.9 Allowable Stress (psi) Modulus of Elasticity E (ksi) x 10 x9 23.1 6.42 165 35.6 Species F. x 12 x 11 281 781 297 52.7 Douglas fir 1050 550 625 900 180 1700 x 14 x 13] 33.1 9.20 485 732 x 16 x 18 Southern pine 1250 410 825 1400 175 1700 x 15] 381 10.6 739 969 Hem-fir 1300 400 500 1000 150 1400 x 17 43.1 120 1070 124 Eastern while pine 350 275 600 135 1100 3) x 3) 123 3.40 4x4 125 7.15 Redwood 1050 650 600 1000 160 1300 x5) x6 193 5.35 48.5 176 "Alowable stresses Fe compression paralel to gain F compression perpendicular to grain Fe tension paralel to gain F bending F, horizontal shear x7 25.4 7.05 111 30.7 x 10 х 12 x 14 x 16 x 18 324 893 231 499 x 11 39.4 109 415 73.8 x 13] 46.4 129 678 102 x 15) 534 149 1030 136 x 17 60.4 168 1500 174 Notes Properties and weights are for dresed siaes. Asumed unit weight of timber is 40 pef. Moment of inertia and section modulus are about the streng axis

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
Problem 1.1MA
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Design a timber beam of hem-fir (S4S) to support a uniformly distributed line load of 250 Ib/ft on a simply supported span of 6 ft. Deflection is not to exceed span/300. 1. SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD TABLE E.1 U.S. Customary units R=V Nominal Size in. Dressed Size in. A in.2 Wt. Ib/ft I, in.4 S, in. 2 x 4 1} × 3} 5.25 1.46 5.36 3.06 V, x 5 x 7 x 6 8.25 2.29 20.8 7.56 M max (at center) x 8 10.9 3.02 47.6 13.1 x 10 13.9 3.85 98.9 21.4 M, Shear x 11 x 13 x 12 16.9 4.68 178 31.6 Amux (at center). 384EI x 14 19.9 5.52 291 43.9 M max x 16 x 15 22.9 6.35 443 58.2 4, 24 Moment x 18 x 17 25.9 7.17 642 74.5 3 x 4 2} x 3) 8.75 2.42 8.93 5.10 x 5} x 7 TABLE F.1 U.S. Customary units x 6 13.8 3.82 34.7 12.6 x 8 18.1 5.04 79.4 21.9 Allowable Stress" (psi) Modulus of x 10 x9} 23.1 6.42 165 35.6 Elasticity E (ksi) Species Fc F, Fo F, x 12 x 11} 28.1 7.81 297 52.7 x 13 x 15 x 17 Douglas fir 1050 550 625 900 180 1700 x 14 33.1 9.20 485 73.2 Southern pine 1250 410 825 1400 175 1700 x 16 38.1 10.6 739 96.9 Hem-fir 1300 400 500 1000 150 1400 x 18 43.1 12.0 1070 124 Eastern white pine 725 350 275 600 135 1100 4 x 4 3} x 3) 12.3 3.40 12.5 7.15 Redwood 1050 650 600 1000 160 1300 x 6 x 5} 19.3 5.35 48.5 17.6 PAllowable stresses: Fe: compression parallel to grain x 8 x 7 25.4 7.05 111 30.7 Fo: compression perpendicular to grain Fr: tension parallel to grain Fp: bending F: horizontal shear x 10 32.4 8.93 231 49.9 x 11 x 13 x 12 39.4 10.9 415 73.8 x 14 46.4 12.9 678 102 x 16 x 15 53.4 14.9 1030 136 x 18 x 17 60.4 16.8 1500 174 Notes: Properties and weights are for dressed sizes. Assumed unit weight of timber is 40 pcf. Moment of inertia and section modulus are about the strong axis.
Transcribed Image Text:Design a timber beam of hem-fir (S4S) to support a uniformly distributed line load of 250 Ib/ft on a simply supported span of 6 ft. Deflection is not to exceed span/300. 1. SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD TABLE E.1 U.S. Customary units R=V Nominal Size in. Dressed Size in. A in.2 Wt. Ib/ft I, in.4 S, in. 2 x 4 1} × 3} 5.25 1.46 5.36 3.06 V, x 5 x 7 x 6 8.25 2.29 20.8 7.56 M max (at center) x 8 10.9 3.02 47.6 13.1 x 10 13.9 3.85 98.9 21.4 M, Shear x 11 x 13 x 12 16.9 4.68 178 31.6 Amux (at center). 384EI x 14 19.9 5.52 291 43.9 M max x 16 x 15 22.9 6.35 443 58.2 4, 24 Moment x 18 x 17 25.9 7.17 642 74.5 3 x 4 2} x 3) 8.75 2.42 8.93 5.10 x 5} x 7 TABLE F.1 U.S. Customary units x 6 13.8 3.82 34.7 12.6 x 8 18.1 5.04 79.4 21.9 Allowable Stress" (psi) Modulus of x 10 x9} 23.1 6.42 165 35.6 Elasticity E (ksi) Species Fc F, Fo F, x 12 x 11} 28.1 7.81 297 52.7 x 13 x 15 x 17 Douglas fir 1050 550 625 900 180 1700 x 14 33.1 9.20 485 73.2 Southern pine 1250 410 825 1400 175 1700 x 16 38.1 10.6 739 96.9 Hem-fir 1300 400 500 1000 150 1400 x 18 43.1 12.0 1070 124 Eastern white pine 725 350 275 600 135 1100 4 x 4 3} x 3) 12.3 3.40 12.5 7.15 Redwood 1050 650 600 1000 160 1300 x 6 x 5} 19.3 5.35 48.5 17.6 PAllowable stresses: Fe: compression parallel to grain x 8 x 7 25.4 7.05 111 30.7 Fo: compression perpendicular to grain Fr: tension parallel to grain Fp: bending F: horizontal shear x 10 32.4 8.93 231 49.9 x 11 x 13 x 12 39.4 10.9 415 73.8 x 14 46.4 12.9 678 102 x 16 x 15 53.4 14.9 1030 136 x 18 x 17 60.4 16.8 1500 174 Notes: Properties and weights are for dressed sizes. Assumed unit weight of timber is 40 pcf. Moment of inertia and section modulus are about the strong axis.
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