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APPENDIX B.8 Reference Design Values for Structural Glued Laminated Softwood Timber (Members Stressed Primarily in Axial Tension or Compression) All Loading Bending About y-y Axis (Loaded Parallel to Wide Faces of Laminations) Bending About x-x Axis (Loaded Perpendicular to Wide Faces of Laminations) Axially Loaded Fasteners Modulus of Elasticity Tension Parallel to Grain Compression Parallel to Grain Bending Shear Parallel to Graina,b,c Bending Shear Parallel to Grain For Deflection For Stability Combination Symbol Calculations Calculations Species Grade E (10% psi) Emin (106 psi) Compression Perpendicular to Grain Fc (psi) Two or More Laminations F₁ (psi) Four or More Laminations Fc (psi) Two or Three or More Laminations Four or Fc (psi) More Laminations Fby (psi) Three Laminations Fby (psi) Two Laminations Fby (psi) Two Laminations to 15 in. Fvy (psi) Deepd Fbx (psi) Fvx (psi) Specific Gravity for Fastener Design G Visually Graded Western Species 1 DF L3 1.5 0.79 560 950 1550 1250 1450 1250 1000 230 1250 265 0.50 3 4 20+52 223 22 DF L2 1.6 0.85 560 1250 1950 1600 1800 1600 1300 230 1700 265 0.50 DF L2D 1.9 1.00 650 1450 2300 1900 2100 1850 1550 230 2000 265 0.50 DF LICL 1.9 1.00 590 1400 2100 1950 2200 2000 1650 230 2100 265 0.50 DF Ll 2.0 1.06 650 1650 2400 2100 2400 2100 1800 230 2200 265 0.50 14 HF L3 1.3 0.69 375 800 1100 1050 1200 1050 850 190 1100 215 0.43 15 HF L2 1.4 0.74 375 1050 1350 1350 1500 1350 1100 190 1450 215 0.43 16 HF L1 1.6 0.85 375 1200 1500 1500 1750 1550 1300 190 1600 215 0.43 17 HF LID 1.7 0.90 500 1400 1750 1750 2000 1850 1550 190 1900 215 0.43 SW L3 1.0 0.53 315 525 850 725 800 700 575 170 725 195 0.35 69 AC L3 1.2 0.63 470 725 1150 1100 1100 975 775 230 1000 265 0.46 70 AC L2 1.3 0.69 470 975 1450 1450 1400 1250 1000 230 1350 265 0.46 71 AC LID 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1750 265 0.46 72 AC LIS 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1900 265 0.46 73 POC L3 1.3 0.69 470 775 1500 1200 1200 1050 825 230 1050 265 0.46 74 POC L2 1.4 0.74 470 1050 1900 1550 1450 1300 1100 230 1400 265 0.46 75 POC LID 1.7 0.90 560 1350 2300 2050 1950 1750 1500 230 1850 265 0.46 (Continued) APPENDIX B.5 Section Properties of Western Species Structural Glued Laminated Timber (GLULAM) x-x Axis y-y Axis Depth d (in.) Area A (in.²) 4, (in.) S, (in.³) rx (in.) I, (in.) S, (in.³) 3½ in. width (r, = 0.902 in.) 6 71 18.75 56.25 18.75 1.732 15.26 9.766 23.44 109.9 29.30 2.165 19.07 12.21 9 28.13 189.8 42.19 2.598 22.89 14.65 10% 32.81 301.5 57.42 3.031 26.70 17.09 12 37.50 450.0 75.00 3.464 30.52 19.53 13½ 42.19 640.7 94.92 3.897 34.33 21.97 15 46.88 878.9 117.2 4.330 38.15 24.41 16%2 51.56 1,170 141.8 4.763 41.96 26.86 18 56.25 1,519 168.8 5.196 45.78 29.30 1912 60.94 1,931 198.0 5.629 49.59 31.74 21 65.63 2,412 229,7 6.062 53.41 34.18 2212 70.31 2,966 263.7 6.495 57.22 36.62 24 75.00 3,600 300.0 6.928 61.04 39.06 5½ in. width (ry = 1.479 in.) 6 30.75 92.25 30.75 1.732 67.31 26.27 712 38.44 180.2 48.05 2.165 84.13 32.83 9 46.13 311.3 69.19 2.598 101.0 39.40 10% 53.81 494.4 94.17 3.031 117.8 45.96 12 61.50 738.0 123.0 3.464 134.6 52.53 13½ 69.19 1,051 155.7 3.897 151.4 59.10 15 76.88 1,441 192.2 4.330 168.3 65.66 16½ 84.56 1,919 232.5 4.763 185.1 72.23 18 92.25 2,491 276.8 5.196 201.9 78.80 19½ 99.94 3,167 324.8 5.629 218.7 85.36 21 107.6 3,955 376.7 6.062 235.6 91.93 2212 115.3 4,865 432.4 6.495 252.4 98.50 24 123.0 5,904 492.0 6.928 269.2 105.1 25½ 130.7 7,082 555.4 7.361 286.0 111.6 27 138.4 8,406 622.7 7.794 302.9 118.2 28½ 146.1 9,887 693.8 8.227 319.7 124.8 30 153.8 11,530 768.8 8.660 336.5 131.3 31½ 161.4 13,350 847.5 9.093 353.4 137.9 33 169.1 15,350 930.2 9.526 370.2 144.5 34½ 176.8 17,540 1,017 9.959 387.0 151.0 36 184.5 19,930 1,107 10.39 403.8 157.6

APPENDIX B.8 Reference Design Values for Structural Glued Laminated Softwood Timber (Members Stressed Primarily in Axial Tension or Compression) All Loading Bending About y-y Axis (Loaded Parallel to Wide Faces of Laminations) Bending About x-x Axis (Loaded Perpendicular to Wide Faces of Laminations) Axially Loaded Fasteners Modulus of Elasticity Tension Parallel to Grain Compression Parallel to Grain Bending Shear Parallel to Graina,b,c Bending Shear Parallel to Grain For Deflection For Stability Combination Symbol Calculations Calculations Species Grade E (10% psi) Emin (106 psi) Compression Perpendicular to Grain Fc (psi) Two or More Laminations F₁ (psi) Four or More Laminations Fc (psi) Two or Three or More Laminations Four or Fc (psi) More Laminations Fby (psi) Three Laminations Fby (psi) Two Laminations Fby (psi) Two Laminations to 15 in. Fvy (psi) Deepd Fbx (psi) Fvx (psi) Specific Gravity for Fastener Design G Visually Graded Western Species 1 DF L3 1.5 0.79 560 950 1550 1250 1450 1250 1000 230 1250 265 0.50 3 4 20+52 223 22 DF L2 1.6 0.85 560 1250 1950 1600 1800 1600 1300 230 1700 265 0.50 DF L2D 1.9 1.00 650 1450 2300 1900 2100 1850 1550 230 2000 265 0.50 DF LICL 1.9 1.00 590 1400 2100 1950 2200 2000 1650 230 2100 265 0.50 DF Ll 2.0 1.06 650 1650 2400 2100 2400 2100 1800 230 2200 265 0.50 14 HF L3 1.3 0.69 375 800 1100 1050 1200 1050 850 190 1100 215 0.43 15 HF L2 1.4 0.74 375 1050 1350 1350 1500 1350 1100 190 1450 215 0.43 16 HF L1 1.6 0.85 375 1200 1500 1500 1750 1550 1300 190 1600 215 0.43 17 HF LID 1.7 0.90 500 1400 1750 1750 2000 1850 1550 190 1900 215 0.43 SW L3 1.0 0.53 315 525 850 725 800 700 575 170 725 195 0.35 69 AC L3 1.2 0.63 470 725 1150 1100 1100 975 775 230 1000 265 0.46 70 AC L2 1.3 0.69 470 975 1450 1450 1400 1250 1000 230 1350 265 0.46 71 AC LID 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1750 265 0.46 72 AC LIS 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1900 265 0.46 73 POC L3 1.3 0.69 470 775 1500 1200 1200 1050 825 230 1050 265 0.46 74 POC L2 1.4 0.74 470 1050 1900 1550 1450 1300 1100 230 1400 265 0.46 75 POC LID 1.7 0.90 560 1350 2300 2050 1950 1750 1500 230 1850 265 0.46 (Continued) APPENDIX B.5 Section Properties of Western Species Structural Glued Laminated Timber (GLULAM) x-x Axis y-y Axis Depth d (in.) Area A (in.²) 4, (in.) S, (in.³) rx (in.) I, (in.) S, (in.³) 3½ in. width (r, = 0.902 in.) 6 71 18.75 56.25 18.75 1.732 15.26 9.766 23.44 109.9 29.30 2.165 19.07 12.21 9 28.13 189.8 42.19 2.598 22.89 14.65 10% 32.81 301.5 57.42 3.031 26.70 17.09 12 37.50 450.0 75.00 3.464 30.52 19.53 13½ 42.19 640.7 94.92 3.897 34.33 21.97 15 46.88 878.9 117.2 4.330 38.15 24.41 16%2 51.56 1,170 141.8 4.763 41.96 26.86 18 56.25 1,519 168.8 5.196 45.78 29.30 1912 60.94 1,931 198.0 5.629 49.59 31.74 21 65.63 2,412 229,7 6.062 53.41 34.18 2212 70.31 2,966 263.7 6.495 57.22 36.62 24 75.00 3,600 300.0 6.928 61.04 39.06 5½ in. width (ry = 1.479 in.) 6 30.75 92.25 30.75 1.732 67.31 26.27 712 38.44 180.2 48.05 2.165 84.13 32.83 9 46.13 311.3 69.19 2.598 101.0 39.40 10% 53.81 494.4 94.17 3.031 117.8 45.96 12 61.50 738.0 123.0 3.464 134.6 52.53 13½ 69.19 1,051 155.7 3.897 151.4 59.10 15 76.88 1,441 192.2 4.330 168.3 65.66 16½ 84.56 1,919 232.5 4.763 185.1 72.23 18 92.25 2,491 276.8 5.196 201.9 78.80 19½ 99.94 3,167 324.8 5.629 218.7 85.36 21 107.6 3,955 376.7 6.062 235.6 91.93 2212 115.3 4,865 432.4 6.495 252.4 98.50 24 123.0 5,904 492.0 6.928 269.2 105.1 25½ 130.7 7,082 555.4 7.361 286.0 111.6 27 138.4 8,406 622.7 7.794 302.9 118.2 28½ 146.1 9,887 693.8 8.227 319.7 124.8 30 153.8 11,530 768.8 8.660 336.5 131.3 31½ 161.4 13,350 847.5 9.093 353.4 137.9 33 169.1 15,350 930.2 9.526 370.2 144.5 34½ 176.8 17,540 1,017 9.959 387.0 151.0 36 184.5 19,930 1,107 10.39 403.8 157.6

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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Question

Given a 9ft long column, which is fully Fixed in both directions at the bottom and is free to side sway at the top (like a utility or flag pole).

The column is 2DF grade L2 GLULAM (Appendix B.8) and has a rectangular

5 1/8 in X 7 1/2 in section (Appendix B.5) and is under ambient temperatures and dry conditions. The loading is DL & LL, Occupancy conditions.

i- Use a tabular format and a step by step solution.

ii- Calculate the load carrying compression capacity, Pu= (Phi)xPn of the column.

iii- If the calculated vertical load, Pu, that the column will carry is from a SERVICE load, 35% DL & 65% LL, calculate the actual service load.

APPENDIX B.8 Reference Design Values for Structural Glued Laminated Softwood Timber (Members Stressed Primarily in Axial Tension or Compression) All Loading Bending About y-y Axis (Loaded Parallel to Wide Faces of Laminations) Bending About x-x Axis (Loaded Perpendicular to Wide Faces of Laminations) Axially Loaded Fasteners Modulus of Elasticity Tension Parallel to Grain Compression Parallel to Grain Bending Shear Parallel to Graina,b,c Bending Shear Parallel to Grain For Deflection For Stability Combination Symbol Calculations Calculations Species Grade E (10% psi) Emin (106 psi) Compression Perpendicular to Grain Fc (psi) Two or More Laminations F₁ (psi) Four or More Laminations Fc (psi) Two or Three or More Laminations Four or Fc (psi) More Laminations Fby (psi) Three Laminations Fby (psi) Two Laminations Fby (psi) Two Laminations to 15 in. Fvy (psi) Deepd Fbx (psi) Fvx (psi) Specific Gravity for Fastener Design G Visually Graded Western Species 1 DF L3 1.5 0.79 560 950 1550 1250 1450 1250 1000 230 1250 265 0.50 3 4 20+52 223 22 DF L2 1.6 0.85 560 1250 1950 1600 1800 1600 1300 230 1700 265 0.50 DF L2D 1.9 1.00 650 1450 2300 1900 2100 1850 1550 230 2000 265 0.50 DF LICL 1.9 1.00 590 1400 2100 1950 2200 2000 1650 230 2100 265 0.50 DF Ll 2.0 1.06 650 1650 2400 2100 2400 2100 1800 230 2200 265 0.50 14 HF L3 1.3 0.69 375 800 1100 1050 1200 1050 850 190 1100 215 0.43 15 HF L2 1.4 0.74 375 1050 1350 1350 1500 1350 1100 190 1450 215 0.43 16 HF L1 1.6 0.85 375 1200 1500 1500 1750 1550 1300 190 1600 215 0.43 17 HF LID 1.7 0.90 500 1400 1750 1750 2000 1850 1550 190 1900 215 0.43 SW L3 1.0 0.53 315 525 850 725 800 700 575 170 725 195 0.35 69 AC L3 1.2 0.63 470 725 1150 1100 1100 975 775 230 1000 265 0.46 70 AC L2 1.3 0.69 470 975 1450 1450 1400 1250 1000 230 1350 265 0.46 71 AC LID 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1750 265 0.46 72 AC LIS 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1900 265 0.46 73 POC L3 1.3 0.69 470 775 1500 1200 1200 1050 825 230 1050 265 0.46 74 POC L2 1.4 0.74 470 1050 1900 1550 1450 1300 1100 230 1400 265 0.46 75 POC LID 1.7 0.90 560 1350 2300 2050 1950 1750 1500 230 1850 265 0.46 (Continued)
Transcribed Image Text:APPENDIX B.8 Reference Design Values for Structural Glued Laminated Softwood Timber (Members Stressed Primarily in Axial Tension or Compression) All Loading Bending About y-y Axis (Loaded Parallel to Wide Faces of Laminations) Bending About x-x Axis (Loaded Perpendicular to Wide Faces of Laminations) Axially Loaded Fasteners Modulus of Elasticity Tension Parallel to Grain Compression Parallel to Grain Bending Shear Parallel to Graina,b,c Bending Shear Parallel to Grain For Deflection For Stability Combination Symbol Calculations Calculations Species Grade E (10% psi) Emin (106 psi) Compression Perpendicular to Grain Fc (psi) Two or More Laminations F₁ (psi) Four or More Laminations Fc (psi) Two or Three or More Laminations Four or Fc (psi) More Laminations Fby (psi) Three Laminations Fby (psi) Two Laminations Fby (psi) Two Laminations to 15 in. Fvy (psi) Deepd Fbx (psi) Fvx (psi) Specific Gravity for Fastener Design G Visually Graded Western Species 1 DF L3 1.5 0.79 560 950 1550 1250 1450 1250 1000 230 1250 265 0.50 3 4 20+52 223 22 DF L2 1.6 0.85 560 1250 1950 1600 1800 1600 1300 230 1700 265 0.50 DF L2D 1.9 1.00 650 1450 2300 1900 2100 1850 1550 230 2000 265 0.50 DF LICL 1.9 1.00 590 1400 2100 1950 2200 2000 1650 230 2100 265 0.50 DF Ll 2.0 1.06 650 1650 2400 2100 2400 2100 1800 230 2200 265 0.50 14 HF L3 1.3 0.69 375 800 1100 1050 1200 1050 850 190 1100 215 0.43 15 HF L2 1.4 0.74 375 1050 1350 1350 1500 1350 1100 190 1450 215 0.43 16 HF L1 1.6 0.85 375 1200 1500 1500 1750 1550 1300 190 1600 215 0.43 17 HF LID 1.7 0.90 500 1400 1750 1750 2000 1850 1550 190 1900 215 0.43 SW L3 1.0 0.53 315 525 850 725 800 700 575 170 725 195 0.35 69 AC L3 1.2 0.63 470 725 1150 1100 1100 975 775 230 1000 265 0.46 70 AC L2 1.3 0.69 470 975 1450 1450 1400 1250 1000 230 1350 265 0.46 71 AC LID 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1750 265 0.46 72 AC LIS 1.6 0.85 560 1250 1900 1900 1850 1650 1400 230 1900 265 0.46 73 POC L3 1.3 0.69 470 775 1500 1200 1200 1050 825 230 1050 265 0.46 74 POC L2 1.4 0.74 470 1050 1900 1550 1450 1300 1100 230 1400 265 0.46 75 POC LID 1.7 0.90 560 1350 2300 2050 1950 1750 1500 230 1850 265 0.46 (Continued)
APPENDIX B.5 Section Properties of Western Species Structural Glued Laminated Timber (GLULAM) x-x Axis y-y Axis Depth d (in.) Area A (in.²) 4, (in.) S, (in.³) rx (in.) I, (in.) S, (in.³) 3½ in. width (r, = 0.902 in.) 6 71 18.75 56.25 18.75 1.732 15.26 9.766 23.44 109.9 29.30 2.165 19.07 12.21 9 28.13 189.8 42.19 2.598 22.89 14.65 10% 32.81 301.5 57.42 3.031 26.70 17.09 12 37.50 450.0 75.00 3.464 30.52 19.53 13½ 42.19 640.7 94.92 3.897 34.33 21.97 15 46.88 878.9 117.2 4.330 38.15 24.41 16%2 51.56 1,170 141.8 4.763 41.96 26.86 18 56.25 1,519 168.8 5.196 45.78 29.30 1912 60.94 1,931 198.0 5.629 49.59 31.74 21 65.63 2,412 229,7 6.062 53.41 34.18 2212 70.31 2,966 263.7 6.495 57.22 36.62 24 75.00 3,600 300.0 6.928 61.04 39.06 5½ in. width (ry = 1.479 in.) 6 30.75 92.25 30.75 1.732 67.31 26.27 712 38.44 180.2 48.05 2.165 84.13 32.83 9 46.13 311.3 69.19 2.598 101.0 39.40 10% 53.81 494.4 94.17 3.031 117.8 45.96 12 61.50 738.0 123.0 3.464 134.6 52.53 13½ 69.19 1,051 155.7 3.897 151.4 59.10 15 76.88 1,441 192.2 4.330 168.3 65.66 16½ 84.56 1,919 232.5 4.763 185.1 72.23 18 92.25 2,491 276.8 5.196 201.9 78.80 19½ 99.94 3,167 324.8 5.629 218.7 85.36 21 107.6 3,955 376.7 6.062 235.6 91.93 2212 115.3 4,865 432.4 6.495 252.4 98.50 24 123.0 5,904 492.0 6.928 269.2 105.1 25½ 130.7 7,082 555.4 7.361 286.0 111.6 27 138.4 8,406 622.7 7.794 302.9 118.2 28½ 146.1 9,887 693.8 8.227 319.7 124.8 30 153.8 11,530 768.8 8.660 336.5 131.3 31½ 161.4 13,350 847.5 9.093 353.4 137.9 33 169.1 15,350 930.2 9.526 370.2 144.5 34½ 176.8 17,540 1,017 9.959 387.0 151.0 36 184.5 19,930 1,107 10.39 403.8 157.6
Transcribed Image Text:APPENDIX B.5 Section Properties of Western Species Structural Glued Laminated Timber (GLULAM) x-x Axis y-y Axis Depth d (in.) Area A (in.²) 4, (in.) S, (in.³) rx (in.) I, (in.) S, (in.³) 3½ in. width (r, = 0.902 in.) 6 71 18.75 56.25 18.75 1.732 15.26 9.766 23.44 109.9 29.30 2.165 19.07 12.21 9 28.13 189.8 42.19 2.598 22.89 14.65 10% 32.81 301.5 57.42 3.031 26.70 17.09 12 37.50 450.0 75.00 3.464 30.52 19.53 13½ 42.19 640.7 94.92 3.897 34.33 21.97 15 46.88 878.9 117.2 4.330 38.15 24.41 16%2 51.56 1,170 141.8 4.763 41.96 26.86 18 56.25 1,519 168.8 5.196 45.78 29.30 1912 60.94 1,931 198.0 5.629 49.59 31.74 21 65.63 2,412 229,7 6.062 53.41 34.18 2212 70.31 2,966 263.7 6.495 57.22 36.62 24 75.00 3,600 300.0 6.928 61.04 39.06 5½ in. width (ry = 1.479 in.) 6 30.75 92.25 30.75 1.732 67.31 26.27 712 38.44 180.2 48.05 2.165 84.13 32.83 9 46.13 311.3 69.19 2.598 101.0 39.40 10% 53.81 494.4 94.17 3.031 117.8 45.96 12 61.50 738.0 123.0 3.464 134.6 52.53 13½ 69.19 1,051 155.7 3.897 151.4 59.10 15 76.88 1,441 192.2 4.330 168.3 65.66 16½ 84.56 1,919 232.5 4.763 185.1 72.23 18 92.25 2,491 276.8 5.196 201.9 78.80 19½ 99.94 3,167 324.8 5.629 218.7 85.36 21 107.6 3,955 376.7 6.062 235.6 91.93 2212 115.3 4,865 432.4 6.495 252.4 98.50 24 123.0 5,904 492.0 6.928 269.2 105.1 25½ 130.7 7,082 555.4 7.361 286.0 111.6 27 138.4 8,406 622.7 7.794 302.9 118.2 28½ 146.1 9,887 693.8 8.227 319.7 124.8 30 153.8 11,530 768.8 8.660 336.5 131.3 31½ 161.4 13,350 847.5 9.093 353.4 137.9 33 169.1 15,350 930.2 9.526 370.2 144.5 34½ 176.8 17,540 1,017 9.959 387.0 151.0 36 184.5 19,930 1,107 10.39 403.8 157.6
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