A nominal 6 x 6 wood post, with L = 8′-0″ tall supports a compression load P = 10,000 pounds. Assume

A nominal 6 x 6 wood post, with L = 8′-0″ tall supports a compression load P = 10,000 pounds. Assume Hem Fir No. 1 Calculate: • The compressive stress fe in the post • The shortening of the post • The unit strain e of the post Lumber sections properties can be found in Tables A1a & Alb Section Properties of Dimension Westem Lumber Sizes Area A-D) x) Area A- Moment of Inerta 1-/12 Moment of Inertia 1-br/12 x 10 mm Nominal size (bx (in.) 2 x 2 2 x 3 2×4 2×6 2 x 8 2 x 10 2 x 12 Surfaced Dry size (actual) (in.) 1.5×1.5 15 x 2.5 15×3.5 15×5.5 15x 7.25 1.5 x 9.25 15 x 11.25 Nominal Surfaced

»A nominal 6 x 6 wood post, with L = 8′-0″ tall supports a compression load P = 10,000 pounds. Assume Hem Fir No. 1 Calculate: • The compressive stress fe in the post • The shortening of the post • The unit strain e of the post Lumber sections properties can be found in Tables A1a & Alb Section Properties of Dimension Westem Lumber Sizes Area A-D) x) Area A- Moment of Inerta 1-/12 Moment of Inertia 1-br/12 x 10 mm Nominal size (bx (in.) 2 x 2 2 x 3 2×4 2×6 2 x 8 2 x 10 2 x 12 Surfaced Dry size (actual) (in.) 1.5×1.5 15 x 2.5 15×3.5 15×5.5 15x 7.25 1.5 x 9.25 15 x 11.25 Nominal Surfaced size Dry size Dm (actual) (mm) 50 x 50 38 x 38 50 x 75 38 x64 50 x 100 38 x 89 50 x 150 38 x 140 50 x 200 38 x 184 50 x 250 38 x 235 50 x 300 38 x 286 2.25 3.75 5.25 8.25 x 10 mm 144 243 3.38 5.32 Section Modulus S-DAB (in.) 0.56 1.56 3.06 7.58 13.14 21.39 31.641 Section Modulus S-br/ x 10 mm 9.12 25.9 50.2 124 214 350 SIS 0.42 1.95 5.36 20.80 47.63 98.93 177.96 017 0.83 2.23 8.69 19.7 41.1 741 10.58 13.88 16.88 8.93 10.87 6.25 4.10 3.26 1.40 8.93 84.5 209 361 3 x 3 3 x 4 3 x 6 3×8 3 x 10 3 x 12 4×4 4×6 4×8 4 x 10 4 x 12 25×25 75 x 75 64×64 25 x 3.5 75 x 100 64 x 89 25×5.5 75 x 150 64 x 140 25 x 7.25 75 x 200 66 x 184 25 x 9.25 75 x 250 64 x 235 25×11.25 75 x 300 64 x 286 3.5 x 3.5 100 x 100 89 x 89 3.5×5.5 100 x 150 89 x 140 3.5 x 7.25 100 x 200 | 99 x 184 3.5 x 9.25 100 x 250 89 x 235 3.5 x 11.25 100 x 300 89 x 256 3.5 x 13.25 100 x 350 89 x 335 3.76 14.6 33.2 69.2 124.7 8.75 13.75 18.12 23.12 28.12 12.25 19.25 25.38 3279 39.38 46.38 5.70 8.96 11.78 15.04 18.30 7.92 2.60 5.10 12.60 21.90 35.65 52.73 7.15 17.65 20.66 1991 73.83 102.41 34.66 79.39 164.89 296.63 12.51 48.53 111.15 230.54 415.28 (7818 589 872 us 292 502 819 1213 1661 125 16.4 21.9 25.4 29.8 5.23 204 46.2 963 174 279 Table A1-b Lumber Section Properties– Beams and Columns (Dx Moment of Inertia 1-12 x 10 mm Section modulus S-P16 (in.) 27.7 51.6 82.7 121.2 167.1 70.3 112.8 165.3 227.8 300.3 Section Modulus S-6 x 100 mm 457 851 1355 1989 2745 Section Properties of Western Lumber Timber Sizes. Nominal Surfaced Nominal Surfaced Area Area size Dry size size Dry size A-(( A- bxh) (actual) (actual) (in.) (In) (mm) (mm) (in.) x 10 mm 6×6 5.5×5.5 150 x 150 140 x 140 30.25 19.6 6×8 5.5×7.5 150 x 200 140 x 191 41.25 26.7 6 x 10 5.5×9.5 150 x 250 140 x 241 52.25 33.7 6 x 12 55 x 115 150 x 300 140 x 292 63.25 40.9 6x 14 5.5 x 13.5 150 x 350 140 x 343 74.25 48.0 8×8 75×75 200 x 200 191 x 191 56.25 36.5 8 x 10 75×95 200 x 250 191 x 241 71.25 8 x 12 75 x 115 200 x 300 191 x 292 86.25 56.8 8 x 14 75 x 13.5 200 x 350 191 x 343 101.25 65.5 8 x 16 75 x 15.5 200 x 400 191 x 394 116.25 75.2 10 x 10 95×9.5 250 x 250 241 x 241 90.25 58.1 10 x 12 9.5×115 250 x 300 21 x 292 109.25 704 10 x 14 9.5 x 13.5 250 x 350 241 x 343 126.25 827 10 x 16 9.5 x 15.5 250 x 400 241 x 394 147.25 95.0 12 x 12 115×115 300 x 300 292 x 292 132.25 85.3 12 x 14 115 x 13.5 300 x 350 292 x 343 155.25 100 12 x 16 115 x 15.5 300 x 400 292 x 394 178.25 115 12 x 18 115 x 175 300 x 450 292 x 445 201.25 130 32.0 81.3 163 290 471 111 460 1161 1849 2714 3745 1942 Moment of inerta I-’12 (in.) 76.3 193.4 393.0 697.1 11277 2627 535.9 9506 15377 23274 678.8 12010 1917.8 2918.1 14575 2357.9 35687 5136.1 223 396 642 281 500 810 1228 142.9 209.4 288.6 380.4 253.5 349.3 460.5 587.0 2333 3425 4726 6235 4150 5726 7555 9637 GOG 982 1458 2144

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