Buckling Analysis of a Slender Tower Under Gravity Loads, N, mm, tonne, s # ______________________________________________________________________ # DUKE UNIVERSITY ---- Dept. of Civil and Environmental Engineering # CE 131L. Matrix Structural Analysis Fall 2011 # ______________________________________________________________________ # joint data ... 88 # number of joints #.joint X-coord Y-coord Z-coord radius # mm mm mm mm 1 20000 -20000 0 0 2 20000 20000 0 0 3 -20000 20000 0 0 4 -20000 -20000 0 0 5 7000 -7000 0 0 6 7000 7000 0 0 7 -7000 7000 0 0 8 -7000 -7000 0 0 9 19000 -19000 20000 0 10 19000 19000 20000 0 11 -19000 19000 20000 0 12 -19000 -19000 20000 0 13 7000 -7000 20000 0 14 7000 7000 20000 0 15 -7000 7000 20000 0 16 -7000 -7000 20000 0 17 18000 -18000 40000 0 18 18000 18000 40000 0 19 -18000 18000 40000 0 20 -18000 -18000 40000 0 21 7000 -7000 40000 0 22 7000 7000 40000 0 23 -7000 7000 40000 0 24 -7000 -7000 40000 0 25 17000 -17000 60000 0 26 17000 17000 60000 0 27 -17000 17000 60000 0 28 -17000 -17000 60000 0 29 7000 -7000 60000 0 30 7000 7000 60000 0 31 -7000 7000 60000 0 32 -7000 -7000 60000 0 33 16000 -16000 80000 0 34 16000 16000 80000 0 35 -16000 16000 80000 0 36 -16000 -16000 80000 0 37 7000 -7000 80000 0 38 7000 7000 80000 0 39 -7000 7000 80000 0 40 -7000 -7000 80000 0 41 15000 -15000 110000 0 42 15000 15000 110000 0 43 -15000 15000 110000 0 44 -15000 -15000 110000 0 45 7000 -7000 110000 0 46 7000 7000 110000 0 47 -7000 7000 110000 0 48 -7000 -7000 110000 0 49 14000 -14000 140000 0 50 14000 14000 140000 0 51 -14000 14000 140000 0 52 -14000 -14000 140000 0 53 7000 -7000 140000 0 54 7000 7000 140000 0 55 -7000 7000 140000 0 56 -7000 -7000 140000 0 57 13000 -13000 175000 0 58 13000 13000 175000 0 59 -13000 13000 175000 0 60 -13000 -13000 175000 0 61 7000 -7000 175000 0 62 7000 7000 175000 0 63 -7000 7000 175000 0 64 -7000 -7000 175000 0 65 12000 -12000 210000 0 66 12000 12000 210000 0 67 -12000 12000 210000 0 68 -12000 -12000 210000 0 69 7000 -7000 210000 0 70 7000 7000 210000 0 71 -7000 7000 210000 0 72 -7000 -7000 210000 0 73 11000 -11000 250000 0 74 11000 11000 250000 0 75 -11000 11000 250000 0 76 -11000 -11000 250000 0 77 7000 -7000 250000 0 78 7000 7000 250000 0 79 -7000 7000 250000 0 80 -7000 -7000 250000 0 81 10000 -10000 300000 0 82 10000 10000 300000 0 83 -10000 10000 300000 0 84 -10000 -10000 300000 0 85 7000 -7000 300000 0 86 7000 7000 300000 0 87 -7000 7000 300000 0 88 -7000 -7000 300000 0 # reaction data ... 8 # number of joints with reactions #.joint X Y Z XX YY ZZ 0:free, 1:fixed 1 1 1 1 1 1 1 2 1 1 1 1 1 1 3 1 1 1 1 1 1 4 1 1 1 1 1 1 5 1 1 1 1 1 1 6 1 1 1 1 1 1 7 1 1 1 1 1 1 8 1 1 1 1 1 1 # frame element data ... 200 # number of frame elements # Exterior Columns #.elmnt j1 j2 Ax Asy Asz Jx Iy Iz E G roll density # . . mm^2 mm^2 mm^2 mm^4 mm^4 mm^4 MPa MPa deg T/mm^3 1 1 9 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 2 2 10 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 3 3 11 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 4 4 12 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 5 9 17 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 6 10 18 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 7 11 19 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 8 12 20 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 9 17 25 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 10 18 26 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 11 19 27 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 12 20 28 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 13 25 33 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 14 26 34 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 15 27 35 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 16 28 36 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 17 33 41 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 18 34 42 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 19 35 43 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 20 36 44 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 21 41 49 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 22 42 50 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 23 43 51 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 24 44 52 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 25 49 57 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 26 50 58 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 27 51 59 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 28 52 60 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 29 57 65 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 30 58 66 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 31 59 67 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 32 60 68 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 33 65 73 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 34 66 74 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 35 67 75 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 36 68 76 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 37 73 81 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 38 74 82 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 39 75 83 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 40 76 84 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 # Interior Columns #.elmnt j1 j2 Ax Asy Asz Jx Iy Iz E G roll density # . . mm^2 mm^2 mm^2 mm^4 mm^4 mm^4 MPa MPa deg T/mm^3 41 5 13 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 42 6 14 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 43 7 15 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 44 8 16 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 45 13 21 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 46 14 22 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 47 15 23 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 48 16 24 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 49 21 29 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 50 22 30 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 51 23 31 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 52 24 32 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 53 29 37 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 54 30 38 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 55 31 39 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 56 32 40 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 57 37 45 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 58 38 46 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 59 39 47 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 60 40 48 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 61 45 53 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 62 46 54 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 63 47 55 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 64 48 56 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 65 53 61 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 66 54 62 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 67 55 63 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 68 56 64 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 69 61 69 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 70 62 70 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 71 63 71 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 72 64 72 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 73 69 77 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 74 70 78 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 75 71 79 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 76 72 80 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 77 77 85 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 78 78 86 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 79 79 87 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 80 80 88 1.440e+06 7.476e+05 7.476e+05 1.166e+12 7.872e+11 7.872e+11 2e5 8e4 0 7.85e-9 # Horizontal Beams, Exterior Face #.elmnt j1 j2 Ax Asy Asz Jx Iy Iz E G roll density # . . mm^2 mm^2 mm^2 mm^4 mm^4 mm^4 MPa MPa deg T/mm^3 81 9 10 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 82 10 11 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 83 11 12 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 84 12 9 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 85 17 18 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 86 18 19 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 87 19 20 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 88 20 17 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 89 25 26 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 90 26 27 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 91 27 28 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 92 28 25 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 93 33 34 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 94 34 35 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 95 35 36 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 96 36 33 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 97 41 42 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 98 42 43 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 99 43 44 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 100 44 41 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 101 49 50 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 102 50 51 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 103 51 52 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 104 52 49 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 105 57 58 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 106 58 59 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 107 59 60 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 108 60 57 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 109 65 66 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 110 66 67 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 111 67 68 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 112 68 65 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 113 73 74 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 114 74 75 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 115 75 76 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 116 76 73 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 117 81 82 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 118 82 83 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 119 83 84 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 120 84 81 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 # Horizontal Beams, Core Frame #.elmnt j1 j2 Ax Asy Asz Jx Iy Iz E G roll density # . . mm^2 mm^2 mm^2 mm^4 mm^4 mm^4 MPa MPa deg T/mm^3 121 13 14 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 122 14 15 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 123 15 16 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 124 16 13 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 125 21 22 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 126 22 23 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 127 23 24 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 128 24 21 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 129 29 30 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 130 30 31 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 131 31 32 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 132 32 29 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 133 37 38 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 134 38 39 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 135 39 40 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 136 40 37 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 137 45 46 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 138 46 47 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 139 47 48 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 140 48 45 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 141 53 54 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 142 54 55 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 143 55 56 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 144 56 53 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 145 61 62 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 146 62 63 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 147 63 64 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 148 64 61 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 149 69 70 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 150 70 71 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 151 71 72 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 152 72 69 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 153 77 78 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 154 78 79 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 155 79 80 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 156 80 77 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 157 85 86 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 158 86 87 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 159 87 88 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 160 88 85 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 # Out Riggers, Between Exterior Frame and Core Face #.elmnt j1 j2 Ax Asy Asz Jx Iy Iz E G roll density # . . mm^2 mm^2 mm^2 mm^4 mm^4 mm^4 MPa MPa deg T/mm^3 161 9 13 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 162 10 14 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 163 11 15 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 164 12 16 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 165 17 21 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 166 18 22 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 167 19 23 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 168 20 24 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 169 25 29 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 170 26 30 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 171 27 31 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 172 28 32 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 173 33 37 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 174 34 38 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 175 35 39 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 176 36 40 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 177 41 45 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 178 42 46 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 179 43 47 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 180 44 48 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 181 49 53 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 182 50 54 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 183 51 55 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 184 52 56 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 185 57 61 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 186 58 62 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 187 59 63 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 188 60 64 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 189 65 69 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 190 66 70 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 191 67 71 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 192 68 72 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 193 73 77 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 194 74 78 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 195 75 79 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 196 76 80 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 197 81 85 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 198 82 86 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 199 83 87 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 200 84 88 2.600e+05 9.937e+04 1.772e+05 1.994e+10 2.887e+10 8.617e+09 2e5 8e4 0 7.85e-9 1 # 1: include shear deformation 1 # 1: include geometric stiffness 100.0 # exaggerate mesh deformations 1000.0 # delta_x increment for frame element internal forces & displ. # load data ... 1 # number of static load cases # Begin Static Load Case 1 0 0 -9806.33 # Gravitational Accel in the X,Y,Z directions (global) 80 # number of loaded joints (global) #.joint X-load Y-load Z-load X-mom Y-mom Z-mom # N N N N.mm N.mm N.mm 9 1e3 1e3 -2.81e7 0 0 0 10 1e3 1e3 -2.81e7 0 0 0 11 1e3 1e3 -2.81e7 0 0 0 12 1e3 1e3 -2.81e7 0 0 0 13 0 0 -2.81e7 0 0 0 14 0 0 -2.81e7 0 0 0 15 0 0 -2.81e7 0 0 0 16 0 0 -2.81e7 0 0 0 17 4e3 4e3 -2.81e7 0 0 0 18 4e3 4e3 -2.81e7 0 0 0 19 4e3 4e3 -2.81e7 0 0 0 20 4e3 4e3 -2.81e7 0 0 0 21 0 0 -2.81e7 0 0 0 22 0 0 -2.81e7 0 0 0 23 0 0 -2.81e7 0 0 0 24 0 0 -2.81e7 0 0 0 25 7e3 7e3 -2.81e7 0 0 0 26 7e3 7e3 -2.81e7 0 0 0 27 7e3 7e3 -2.81e7 0 0 0 28 7e3 7e3 -2.81e7 0 0 0 29 0 0 -2.81e7 0 0 0 30 0 0 -2.81e7 0 0 0 31 0 0 -2.81e7 0 0 0 32 0 0 -2.81e7 0 0 0 33 9e3 9e3 -2.81e7 0 0 0 34 9e3 9e3 -2.81e7 0 0 0 35 9e3 9e3 -2.81e7 0 0 0 36 9e3 9e3 -2.81e7 0 0 0 37 0 0 -2.81e7 0 0 0 38 0 0 -2.81e7 0 0 0 39 0 0 -2.81e7 0 0 0 40 0 0 -2.81e7 0 0 0 41 1e4 1e4 -2.81e7 0 0 0 42 1e4 1e4 -2.81e7 0 0 0 43 1e4 1e4 -2.81e7 0 0 0 44 1e4 1e4 -2.81e7 0 0 0 45 0 0 -2.81e7 0 0 0 46 0 0 -2.81e7 0 0 0 47 0 0 -2.81e7 0 0 0 48 0 0 -2.81e7 0 0 0 49 1.5e4 1.5e4 -2.81e7 0 0 0 50 1.5e4 1.5e4 -2.81e7 0 0 0 51 1.5e4 1.5e4 -2.81e7 0 0 0 52 1.5e4 1.5e4 -2.81e7 0 0 0 53 0 0 -2.81e7 0 0 0 54 0 0 -2.81e7 0 0 0 55 0 0 -2.81e7 0 0 0 56 0 0 -2.81e7 0 0 0 57 1.8e4 1.8e4 -2.81e7 0 0 0 58 1.8e4 1.8e4 -2.81e7 0 0 0 59 1.8e4 1.8e4 -2.81e7 0 0 0 60 1.8e4 1.8e4 -2.81e7 0 0 0 61 0 0 -2.81e7 0 0 0 62 0 0 -2.81e7 0 0 0 63 0 0 -2.81e7 0 0 0 64 0 0 -2.81e7 0 0 0 65 1.9e4 1.9e4 -2.81e7 0 0 0 66 1.9e4 1.9e4 -2.81e7 0 0 0 67 1.9e4 1.9e4 -2.81e7 0 0 0 68 1.9e4 1.9e4 -2.81e7 0 0 0 69 0 0 -2.81e7 0 0 0 70 0 0 -2.81e7 0 0 0 71 0 0 -2.81e7 0 0 0 72 0 0 -2.81e7 0 0 0 73 2.0e4 2.0e4 -2.81e7 0 0 0 74 2.0e4 2.0e4 -2.81e7 0 0 0 75 2.0e4 2.0e4 -2.81e7 0 0 0 76 2.0e4 2.0e4 -2.81e7 0 0 0 77 0 0 -2.81e7 0 0 0 78 0 0 -2.81e7 0 0 0 79 0 0 -2.81e7 0 0 0 80 0 0 -2.81e7 0 0 0 81 2.0e4 2.0e4 -2.81e7 0 0 0 82 2.0e4 2.0e4 -2.81e7 0 0 0 83 2.0e4 2.0e4 -2.81e7 0 0 0 84 2.0e4 2.0e4 -2.81e7 0 0 0 85 0 0 -2.81e7 0 0 0 86 0 0 -2.81e7 0 0 0 87 0 0 -2.81e7 0 0 0 88 0 0 -2.81e7 0 0 0 # results from Frame3DD analysis of tower.3dd # Fz MN f1 Hz Dtop mm # 0.1 0.121 43.3 # 0.2 0.121 43.3 # 0.5 0.120 43.4 # 10 0.106 53.5 # 11 0.104 54.9 # 15 0.097 61.5 # 20 0.075 73.0 # 30 0.055 133.3 # 31 0.049 150.8 # 32 0.041 179.6 # 33 0.030 249.9 # 33.5 0.021 380.0 # 33.6 0.017 447.0 # 33.7 0.012 564.0 0 # number of uniform distributed loads #.elmnt X-load Y-load Z-load uniform member loads in member coordinates # N/mm N/mm N/mm 0 # number of trapezoidally distributed loads 0 # number of concentrated interior point loads 0 # number of members temperature changes 0 # number of prescribed displacements nD<=nR # End Static Load Case 1 # dynamic analysis data ... 15 # desired number of dynamic modes of vibration 1 # 1: Subspace-Jacobi iteration, 2: Stodola method 0 # 0: consistent mass matrix, 1: lumped mass matrix 1e-3 # frequency convergence tolerance approx 1e-4 0 # frequency shift-factor for rigid body modes, make 0 for pos.def. [K] 1e6 # exaggeration factor for displaying dynamic mode shapes 0 # number of joints with extra joint mass or rotatory inertia 0 # number of frame elements with extra mass # mode shape animation data ... 6 # number of modes to be animated # list of modes to be animated, sorted in increasing order 3 5 6 7 9 15 -2.2 # pan