1.0 Purlins Design

DESIGN OF STEEL PURLINSREFERENCE: Structureal Steel Design ASD Method by J.C.McCormac NSCP 2001, Fifth Edition ,ASEP Steel Handbook 1994 INPUT DATA: Fy = 278.00 MPa Fu = 400.00 MPa E = 200,000 MPa Minimum Yield Stress of Steel in Mpa Minimum Tensile Stress of Steel in Mpa Modulus of Elasticity L S  ns = = = = 3.05 m 0.80 m 20.00 deg 1.00 Span Length of Purlins, m Spacing of Purlins, m Roof Angle, degrees no. of sagrods in one span w(DL) w(LL) w(WLi) w(WLo) = = = = 0.40 0.60 4.55 3.55 Dead Load in kPa Live Load in kPa Inward Wind Load Normal to Roof in kPa Outward Wind Load Normal to Roof in kPa kPa kPa kPa kPa SECTION PROPERTIES: LC 150x50x18x3.0 Note: Input Section Properties in the form LC_HxBxCxT (ASEP 1994) Wp = 0.0603 kN/m Weight of Purlins d = 150.00 mm Over-all Depth bf = 50.00 mm Width of Flange tf = 5.00 mm Thickness of Flange Ix = 2.53E+06 mm^4 Moment of Inertia about the Major Axis Sx = 3.37E+04 mm^3 Section Modulus about the Major Axis Sy = 6.90E+03 mm^3 Section Modulus about the Minor Axis Section Adequate LOAD ANALYSIS: Normal Loads (Wx): Wp = 0.057 kN/m WD = 0.301 kN/m WL = 0.451 kN/m WWi = 3.640 kN/m WWo = 2.840 kN/m Tangential Loads (Wy): Wp = 0.021 kN/m WD = 0.109 kN/m WL = 0.164 kN/m Max. Tangential Reactions (Ry): Rp = 0.039 kN RD = 0.209 kN RL = 0.313 kN RT = 0.561 kN Max. Normal Moments (Mx): MD = 0.416 kNm ML = 0.524 kNm MWi = 4.233 kNm MWo = 3.302 kNm 267854244.xls Max.Tangential Moments (My): MD = 0.038 kNm ML = 0.048 kNm 1 Design of Purlins Load Combinations: Normal Moments (Mx): DL+LL = 0.xls Design Moments: Normal Moments (Mx): Mx = 3.75(DL+LL+WLi) = 3.75(DL-Wlo) = 2.880 0.086 267854244.940 0.165 Tangential Moments (My): DL+LL = 0.086 kNm kNm kNm kNm kNm 2 Design of Purlins .880 kNm Tangential Moments (My): Myp = 0. 33(Fu)] Use 10 mm dia.94 mm act = 1.40 MPa ALLOWABLE STRESSES: Fbx = 183.48 MPa Fby = 208. sagrods 3 Design of Purlins .80 mm SAGRODS: Areqd = 4.94 mm act = 1.Ratio = 0.01 mm Total Load Deflection: all = 16.687 CHECK DEFLECTION: Live Load Deflection: all = 16.2/506.ACTUAL STRESSES: fbx = 115.3 See AISC Manual F1/F2 = (fbx/Fbx) + (fby/Fby) Section Adequate = L/180 = 5(WL)(L4)/[384(E)(Ix)] = L/180 = 5(WD+WL)(L4)/[384(E)(Ix)] Section Adequate = RT/[0.xls = Mx/Sx = My/Sy See NSCP 506.12 MPa fby = 12.50 MPa CAPACITY CHECK: Cap. mm 267854244.25 sq. xls 4 Design of Purlins .267854244. 983 10.50 14.00 50.83 6.00 255.0 9.00 255.00 3.00 255.5 220x75x25x3.90 57.30 63.00 50.00 200.5 185x50x20x3.20 955 848 731 605 7.624 4.110 61.0 255x90x25x5.00 200.00 4.90 98.00 75.217 3.97 90.16 9.897 136.90 68.393 1.00 4.00 5.97 4.41 90.366 4.00 200.0 255x90x25x3.00 220.19 90.00 50.50 48.0 175x50x20x2.5 255x90x25x4.716 77.5 220x75x25x2.19 8.5 220x75x25x5.77 4.619 106.53 90.00 75.00 175.40 374 363 348 328 304 274 241 202 LC LC LC LC LC LC 175x50x20x4.00 1.50 10.0 LC 200x70x15x3.00 2.5 175x50x20x2.50 2.00 3.00 220.50 36.00 220.0 220x75x25x4.00 2.00 175.963 14.70 53.831 4.00 50.00 255.00 75.50 108.00 75.40 32.20 46.68 50.00 3.50 4.50 2.40 58.70 47.5 255x90x25x3.00 220.83 5.00 2.00 75.40 53.00 75.00 50.00 2.227 255.06 11.00 6.490 13.237 164.25 5.00 175.30 65.749 6.00 342 323 298 270 237 199 .33 75.621 58.13 70.50 90.00 2.451 6.50 5.50 3.50 17.20 42.81 90.00 185.00 3.00 5.00 6.40 30.0 220x75x25x3.103 150.40 1.258 3.00 185.00 220.00 4.16 14.00 200.70 0.255 22.0 220x75x25x2.02 LC 200x75x20x2.50 2.718 8.00 50.00 200.5 LC LC LC LC LC LC LC LC LC 220x75x25x6.85 7.996 72.0 255x90x25x2.00 50.00 12.188 2.00 185.00 75.0 185x50x20x2.00 200.00 75.108 4.00 75.5 175x50x20x4.00 50.16 8.5 185x50x20x5.032 11.30 7.00 15.00 75.00 18.00 220.00 3.15 10.13 10.5 255x90x25x5.00 39.5 200x75x25x3.0 255x90x25x4.00 (mm4) 24.0 12.50 1.00 175.00 5.00 5.0 LC LC LC LC LC LC LC LC 185x50x20x5.741 6.5 LC 200x75x20x2.00 3.00 255.50 Ix(x103) d (mm) Sx(x103) Iy(x103) (mm3) (mm4) 190.00 4.44 16.11 90.80 1.785 5.501 7.00 7.00 3.00 220.81 8.764 121.5 175x50x20x3.30 77.177 1.00 220.0 185x50x20x4.5 185x50x20x4.10 575 LC LC LC LC LC LC LC LC 255x90x25x6.086 985 875 754 624 75.00 220.00 5.50 118.00 200.00 255.20 46.00 75.84 50.86 6.0 200x75x25x2.0 220x75x25x5.321 5.86 13.00 LC LC LC LC 200x75x25x3.509 11.395 15.00 14.331 1.00 75.50 4.52 12.00 50.00 665 552 8.774 4.50 2.50 67.646 2.00 175.80 1.223 17.86 75.00 185.00 4.TABLE OF LIGHT GAGE CHANNELS FROM ASEP HANDBOOK Designation HxBxCxT Weight bf (mm) tf (mm) (kg/m) 20.07 5.720 3.00 5.0 17.653 20.00 255.00 185.0 10.5 185x50x20x2.595 56.976 19.00 50.862 5.00 185.00 175.00 185.50 4.5 220x75x25x4.20 2.50 2.357 177.60 1.5 200x75x25x2.90 88.74 9.025 13.00 50.50 3.00 185.83 90.00 50.13 7.430 89.00 9.50 5.955 136.50 3.50 3.227 5.44 6.00 52.00 127.0 175x50x20x3.0 185x50x20x3.259 1.00 6.00 2.878 9.83 7.50 2.680 4. 00 150.640 2.5 LC 120x40x20x5.5 150x75x20x3.975 1.00 75.30 67.00 4.00 50.50 259 246 230 210 LC LC LC LC LC 120x60x20x6.00 125.919 1.00 120.160 1.00 50.00 65.5 150x75x20x5.00 150.487 2.36 8.70 325 243 LC LC LC LC LC LC LC 125x50x20x5.5 150x65x20x5.5 125x50x15x4.00 75.42 50.0 10.845 4.00 5.98 9.60 72.00 4.571 5.50 3.142 64.80 74.5 150x65x20x3.60 28.00 1.39 7.00 6.5 125x50x20x5.0 125x50x20x2.593 34.039 988 929 699 LC LC LC LC LC LC LC LC 150x65x20x5.57 6.70 32.202 78.00 3.0 8.995 1.00 150.80 26.12 9.5 150x65x20x4.00 65.79 40.00 2.50 4.00 4.50 5.00 50.01 60.0 LC 120x40x20x5.10 354 349 LC 150x50x18x5.50 150.00 150.5 LC 150x75x25x5.064 4.00 50.96 6.50 3.00 50.00 65.30 69.00 150.0 150x65x20x2.00 150.00 6.00 150.0 150x65x20x4.654 1.76 65.00 5.50 56.00 120.5 125x50x20x3.00 65.206 3.00 3.386 2.049 2.20 31.40 540 526 506 481 372 LC 120x40x20x6.793 1.0 7.0 14.04 7.5 120x60x20x5.0 125x50x20x3.00 50.5 11.00 120.00 6.191 3.30 46.87 4.50 5.42 75.00 120.50 22.0 150x75x20x4.00 150.0 LC 150x50x20x5.84 10.30 32.60 60.0 10.524 2.40 45.525 52.00 125.0 120x60x20x4.99 6.00 3.00 125.461 3.5 9.50 5.00 60.00 150.71 11.96 8.00 125.00 75.914 2.0 150x75x20x5.5 125x50x15x3.00 5.65 4.50 3.00 5.00 4.747 5.00 120.00 6.00 150.00 50.056 1.373 76.00 2.00 5.864 1.70 25.00 2.50 38.69 6.00 1.50 2.099 LC LC LC LC LC 150x75x20x6.50 5.60 710 680 643 599 548 491 426 355 LC 150x50x20x6.00 65.00 150.419 5.00 150.00 120.30 44.50 5.00 125.00 65.00 125.85 10.95 5.20 40.00 150.00 5.00 50.60 28.00 2.90 53.69 7.47 8.14 13.912 5.00 125.00 40.LC 150x75x25x6.081 1.00 30.00 50.00 50.00 150.139 1.00 50.539 4.00 6.50 5.425 40.00 5.11 75.5 LC 150x50x18x3.80 326 317 305 288 267 241 212 LC LC LC LC 125x50x15x4.00 5.983 55.90 29.21 5.20 33.5 120x60x20x3.00 5.00 4.00 120.50 62.79 50.77 8.683 3.00 75.00 150.0 120x60x20x5.0 11.67 12.50 125.00 2.230 2.609 2.55 50.0 150x65x20x3.28 6.70 34.775 2.00 150.80 28.00 150.40 38.10 51.50 4.5 125x50x20x4.00 5.00 120.40 1.50 4.0 LC 150x75x25x5.00 40.00 4.0 125x50x20x4.14 12.00 4.31 10.00 60.93 9.38 6.00 125.50 5.00 60.00 75.40 170 172 171 .00 125.15 50.50 3.847 3.00 75.0 13.00 125.00 65.00 3.48 5.72 10.213 1.00 150.0 125x50x15x3.318 1.00 150.20 35.50 3.705 46.00 60.00 41.826 33.01 7.5 150x65x20x2. 0 100x50x15x3.00 4.00 90.00 65.10 11.0 75x38x15x3.LC LC LC LC LC LC 120x40x20x4.5 120x40x20x3.00 38.717 1.00 267.14 2.00 674.00 50.5 90x45x15x2.5 65x30x15x4.00 820.70 15.00 120.00 100.50 3.00 90.00 752.0 100x50x15x2.00 40.68 3.50 4.0 65x30x15x3.50 18.5 90x45x15x4.50 4.58 38.00 382.90 6.5 75x38x15x4.64 4.5 75x38x15x3.50 24.00 45.52 4.50 2.90 171 164 155 142 127 108 LC LC LC LC LC LC 75x38x15x4.71 3.152 1.00 38.00 4.63 2.00 120.00 30.00 18.20 21.00 490.10 5.0 6.00 3.0 90x45x15x2.50 2.00 38.83 3.00 65.35 50.00 258.80 16.10 5.00 120.50 6.30 3.051 938 812 675 24.07 4.0 90x45x15x3.00 100.00 65.50 3.00 90.50 3.00 120.04 45.00 454.00 40.00 282.00 75.06 2.00 90.17 30.930 28.00 75.5 75x38x15x2.00 100.0 120x40x20x2.80 23.0 7.50 3.00 3.00 19.00 199.00 120.00 1.5 120x40x20x4.5 65x30x15x2.50 2.00 4.70 15.00 421.00 40.00 50.452 1.60 26.5 120x40x20x2.00 75.00 1.20 8.00 2.5 100x50x15x3.00 65.5 65x30x15x3.00 45.00 45.00 38.20 16.00 38.00 2.5 90x45x15x3.49 5.00 3.81 6.80 12.00 169.00 45.00 878.00 223.00 2.08 4.50 99 97 93 86 78 67 LC LC LC LC LC LC 65x30x15x4.00 65.00 10.50 238 227 212 194 171 145 LC LC LC LC LC LC 90x45x15x4.50 167 160 150 137 122 103 LC LC LC LC LC LC 100x50x15x4.00 50.18 3.00 90.55 4.0 65x30x15x2.0 75x38x15x2.50 4.593 1.00 30.00 2.80 5.00 30.11 3.90 7.00 90.00 100.97 4.00 481.20 10.00 100.60 18.90 7.50 3.00 45.00 3.20 7.00 12.00 21.00 75.00 8.0 6.50 2.00 120.00 65.00 40.120 0.16 6.50 4.5 100x50x15x2.00 3.20 46 47 47 44 41 36 .50 2.51 40.00 243.00 30.00 50.00 75.00 50.241 1.18 5.36 3.16 3.00 30.00 40.83 4.00 587.00 335.50 4.0 5.00 100.00 13.46 3.0 4.294 1.0 120x40x20x3.00 4.00 4.00 75.20 13.5 100x50x15x4.00 2. 00 23.50 9.50 30.20 11.50 9.10 25.70 22.10 22.10 20.80 18.50 14.60 9.30 7.Sy(x103) (mm3) 36.10 11.10 26.60 5.50 18.30 7.00 9.50 6.40 16.00 8.30 14.40 11.00 8.60 16.50 .20 10.50 10.60 32.30 27.20 10.80 25.70 12.50 6.60 5.40 34.20 19. 00 13.60 6.60 18.40 12.40 20.30 .60 6.40 11.00 9.50 9.30 6.90 12.30 9.90 9.70 8.20 6.70 9.20 6.10 6.10 9.10 10.60 19.70 22.00 16.30 6.80 23.70 13.60 8.00 7.10 8.50 14.40 7.30 14.00 15.40 7.24.50 12.10 10.50 21.50 13. 50 2.00 3.40 2.30 3.40 5.60 5.90 .70 4.80 3.80 2.50 3.90 4.20 5.90 7.10 6.80 6.90 5.20 1.20 4.50 2.10 4.20 2.50 2.10 4.60 5.30 4.90 5.6.80 5.40 5.60 3.