5 The critical load case is identified as the case yielding the lowest safety factor about the design axis Through inspection: Load case 9 is critical.. The column is bent in double cu
Trang 1Design code : Eurocode 2 - 2004
General design parameters:
(1) The general conditions of clause 5.8.8.2 are applicable.
(2) The specified design axial loads include
the self-weight of the column.
(3) The design axial loads are taken constant
over the height of the column.
Design approach:
The column is designed using the following procedure:
(1) The column design charts are constructed.
(2) The design axis and design ultimate moment are determined
(3) The design axial force and moment capacity is checked on
the relevant design chart.
(4) The procedure is repeated for each load case.
(5) The critical load case is identified as the case yielding the lowest
safety factor about the design axis
Through inspection:
Load case 9 is critical.
Check column slenderness:
End fixity and bracing for bending about the Design axis:
The column is unbraced.
Effective length factor ß = 0.75
Effective column height:
Trang 2Minimum Moments for Design:
Check for mininum eccentricity:
Check that the eccentricity exceeds the minimum in the plane of bending:
Trang 4The column is bent in double curvature about the X-X axis:
M1 = Smaller initial end moment = -65.7 kNm
M2 = Larger initial end moment = 2512.0 kNm
Trang 5The column is bent in double curvature about the Y-Y axis:
M1 = Smaller initial end moment = -882.0 kNm
M2 = Larger initial end moment = 884.7 kNm
Design ultimate load and moment:
Design axial load:
Trang 7The column is checked for applied moment about the design axis.
Through inspection: the critical section lies at the bottom end of the column.
The design axis for the critical load case 9 lies at an angle of 19.40° to the X-axis
The safety factor for the critical load case 9 is 2.26
For bending about the design axis:
Moment distribution along the height of the column for bending about the design axis:
The final design moments were calculated as the vector sum of the X- and Y- moments
of the critical load case This also determined the design axis direction
At the top, Mx = 2618.3 kNm
Near mid-height, Mx = 3256.5 kNm
At the bottom, Mx = 4397.2 kNm
Trang 8Stresses at the bottom end of the column for the critical load case 9
M
M
Summary of design calculations:
Design table for critical load case:
Trang 9-34.8 -74.0
0.0 0.0 Top
1196.4 1696.1 1713.2 2.842X-X
Y-Y 76291.3
49.8 1177.4
68.5 -3388.6
61.0 -1562.2
0.0 0.0 Bottom
120.6 4914.1 4915.1 2.815X-X
Y-Y 76828.2
32.9 635.1
126.6 -2050.6
89.2 -976.3
0.0 0.0 Bottom
228.9 3584.3 3591.1 2.831X-X
Y-Y 77414.1
-72.2 -924.3
-210.8 2126.5
-155.4 906.2
0.0 0.0 Bottom
417.0 3667.3 3685.3 2.826X-X
Y-Y 77951.0
-89.1 -1466.5
-152.7 3464.5
-127.3 1492.1
0.0 0.0 Bottom
259.8 5022.0 5026.9 2.744X-X
Y-Y 63676.7
33.3 614.3
-2589.7 -816.9
-1540.5 -326.7
0.0 0.0 Top
3804.2 1886.0 1888.7 3.440X-X
Y-Y 68103.6
14.4 336.2
-1618.8 -531.3
-965.5 -212.5
0.0 0.0 Top
2913.0 1697.0 1698.6 3.235X-X
Y-Y 82267.5
-46.8 599.1
1541.2 -603.9
906.0 -241.6
0.0 0.0 Bottom
3074.7 2244.3 3298.9 2.404X-X
Y-Y 86694.3
-65.7 -882.0
2512.0 884.7
1480.9 353.9
0.0 0.0 Bottom
4147.5 2611.1 4397.2 2.255X-X
Y-Y 58703.4
91.9 2057.4
-640.6 -5170.0
-347.6 -2279.1
0.0 0.0 Bottom
785.0 6335.2 6383.6 3.556X-X
Y-Y 60127.5
-270.7 2033.5
-543.9 -4790.9
-434.6 -2061.1
0.0 0.0 Bottom
682.7 5985.7 6024.2 3.495X-X
Y-Y 69094.9
254.6 -2235.4
486.0 4836.9
393.4 2007.9
0.0 0.0 Bottom
659.1 6211.8 6243.1 2.972X-X
Y-Y 70519.0
-108.1 -2259.3
582.8 5216.1
306.4 2225.9
0.0 0.0 Bottom
739.4 6617.7 6658.9 2.897X-X
Y-Y 52192.6
181.7 1215.2
-2576.3 -2419.1
-1473.1 -967.6
0.0 0.0 Top
3337.3 3133.6 2272.6 4.099X-X
Y-Y 53935.6
-261.3 1185.1
-2458.5 -1960.6
-1579.6 -784.2
0.0 0.0 Top
3301.9 2633.2 2292.3 4.112X-X
Y-Y 75286.8
245.1 -1387.0
2400.7 2006.6
1538.5 802.6
0.0 0.0 Bottom
3556.0 2972.3 4634.6 2.623X-X
Y-Y 77029.8
-197.8 -1417.2
2518.4 2465.1
1431.9 986.0
0.0 0.0 Bottom
3619.4 3542.8 5064.7 2.568X-X
Y-Y 58912.6
778.8 2266.7
-1447.2 -6650.6
-578.9 -3083.6
0.0 0.0 Bottom
1697.8 7801.9 7984.5 3.494X-X
Y-Y 70309.9
-794.9 -2468.6
1389.4 6696.6
555.7 3030.5
0.0 0.0 Bottom
1675.0 8073.4 8245.4 2.823X-X
Y-Y 58912.6
778.8 2266.7
-1447.2 -6650.6
-578.9 -3083.6
0.0 0.0 Bottom
1697.8 7801.9 7984.5 3.494X-X
Y-Y 70309.9
-794.9 -2468.6
1389.4 6696.6
555.7 3030.5
0.0 0.0 Bottom
1675.0 8073.4 8245.4 2.823X-X
Y-Y 57069.6
1341.3 1349.6
-2943.5 -4019.3
-1229.6 -1871.7
0.0 0.0 Top
3617.9 4940.1 3044.2 3.511X-X
Y-Y 72152.9
-1357.5 -1551.5
2885.7 4065.3
1188.4 1818.6
0.0 0.0 Bottom
3721.0 5242.0 6428.4 2.725X-X
Y-Y 57069.6
1341.3 1349.6
-2943.5 -4019.3
-1229.6 -1871.7
0.0 0.0 Top
3617.9 4940.1 3044.2 3.511X-X
Y-Y 72152.9
-1357.5 -1551.5
2885.7 4065.3
1188.4 1818.6
0.0 0.0 Bottom
3721.0 5242.0 6428.4 2.725
Trang 10Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 26
96.8 1624.1
888.7 -4700.7
571.9 -2170.8
0.0 0.0 Bottom
1131.3 5983.8 6089.8 3.141X-X
Y-Y 66713.2
-265.9 1600.2
985.5 -4321.5
484.9 -1952.8
0.0 0.0 Bottom
1282.1 5622.4 5766.7 3.081X-X
Y-Y 62509.2
249.7 -1802.1
-1043.3 4367.5
-526.1 1899.7
0.0 0.0 Bottom
1333.8 5583.5 5740.6 3.397X-X
Y-Y 63933.3
-112.9 -1826.0
-946.6 4746.7
-613.1 2117.6
0.0 0.0 Bottom
1196.6 6000.7 6118.8 3.294X-X
Y-Y 53334.4
229.0 57.4
-2697.1 442.2
-1526.7 288.3
0.0 0.0 Top
3749.7 614.7 1302.8 3.744X-X
Y-Y 55077.4
-213.9 27.2
-2579.3 900.7
-1633.2 551.3
0.0 0.0 Bottom
3619.3 1263.8 3833.6 4.043X-X
Y-Y 74145.0
197.8 -229.2
2521.5 -854.7
1592.0 -604.5
0.0 0.0 Bottom
3925.9 1351.8 4145.3 2.625X-X
Y-Y 75888.1
-245.1 -259.3
2639.2 -396.2
1485.5 -341.4
0.0 0.0 Bottom
4140.2 1362.2 4186.6 2.551X-X
Y-Y 58912.6
778.8 2266.7
-1447.2 -6650.6
-578.9 -3083.6
0.0 0.0 Bottom
1697.8 7801.9 7984.5 3.494X-X
Y-Y 70309.9
-794.9 -2468.6
1389.4 6696.6
555.7 3030.5
0.0 0.0 Bottom
1675.0 8073.4 8245.4 2.823X-X
Y-Y 58912.6
778.8 2266.7
-1447.2 -6650.6
-578.9 -3083.6
0.0 0.0 Bottom
1697.8 7801.9 7984.5 3.494X-X
Y-Y 70309.9
-794.9 -2468.6
1389.4 6696.6
555.7 3030.5
0.0 0.0 Bottom
1675.0 8073.4 8245.4 2.823X-X
Y-Y 57069.6
1341.3 1349.6
-2943.5 -4019.3
-1229.6 -1871.7
0.0 0.0 Top
3617.9 4940.1 3044.2 3.511X-X
Y-Y 72152.9
-1357.5 -1551.5
2885.7 4065.3
1188.4 1818.6
0.0 0.0 Bottom
3721.0 5242.0 6428.4 2.725X-X
Y-Y 57069.6
1341.3 1349.6
-2943.5 -4019.3
-1229.6 -1871.7
0.0 0.0 Top
3617.9 4940.1 3044.2 3.511X-X
Y-Y 72152.9
-1357.5 -1551.5
2885.7 4065.3
1188.4 1818.6
0.0 0.0 Bottom
3721.0 5242.0 6428.4 2.725
Load case 9 is critical.
Trang 11Design code : Eurocode 2 - 2004
General design parameters:
(1) The general conditions of clause 5.8.8.2 are applicable.
(2) The specified design axial loads include
the self-weight of the column.
(3) The design axial loads are taken constant
over the height of the column.
Design approach:
The column is designed using the following procedure:
(1) The column design charts are constructed.
(2) The design axis and design ultimate moment are determined
(3) The design axial force and moment capacity is checked on
the relevant design chart.
(4) The procedure is repeated for each load case.
(5) The critical load case is identified as the case yielding the lowest
safety factor about the design axis
Through inspection:
Load case 113 is critical.
Check column slenderness:
End fixity and bracing for bending about the Design axis:
The column is unbraced.
Effective length factor ß = 0.75
Effective column height:
Trang 12Minimum Moments for Design:
Check for mininum eccentricity:
Check that the eccentricity exceeds the minimum in the plane of bending:
Trang 14The column is bent in single curvature about the X-X axis:
M1 = Smaller initial end moment = 42.6 kNm
M2 = Larger initial end moment = 84.4 kNm
Trang 15The column is bent in single curvature about the Y-Y axis:
M1 = Smaller initial end moment = 428.8 kNm
M2 = Larger initial end moment = 1411.4 kNm
Design ultimate load and moment:
Design axial load:
Trang 17The column is checked for applied moment about the design axis.
Through inspection: the critical section lies at the bottom end of the column.
The design axis for the critical load case 113 lies at an angle of 266.58° to the X-axis
The safety factor for the critical load case 113 is 1.47
For bending about the design axis:
Moment distribution along the height of the column for bending about the design axis:
The final design moments were calculated as the vector sum of the X- and Y- moments
of the critical load case This also determined the design axis direction
At the top, Mx = 1416.6 kNm
Near mid-height, Mx = 2006.3 kNm
At the bottom, Mx = 2399.6 kNm
Trang 18Stresses at the bottom end of the column for the critical load case 113
Summary of design calculations:
Design table for critical load case:
Trang 19-126.2 -197.4
0.0 0.0 Top
487.9 801.9 930.1 2.445X-X
Y-Y 31730.7
110.2 -129.5
-161.0 -271.1
-64.4 -214.5
0.0 0.0 Middle
655.6 859.0 858.5 2.412X-X
Y-Y 32578.6
-164.8 -169.5
237.7 -202.4
95.1 -189.3
0.0 0.0 Top
733.7 771.5 888.0 2.373X-X
Y-Y 29324.6
-129.2 5.4
-400.7 -335.9
-292.1 -199.4
0.0 0.0 Top
987.2 883.4 946.4 2.587X-X
Y-Y 30172.6
-132.9 74.0
-273.2 -376.0
-217.1 -196.0
0.0 0.0 Top
855.7 944.9 1002.3 2.506X-X
Y-Y 37195.0
-25.2 -284.7
-128.5 -1562.6
-87.2 -1051.5
0.0 0.0 Bottom
434.4 2306.4 2306.7 1.895X-X
Y-Y 43125.6
-1.4 -340.3
-129.0 -1006.0
-78.0 -739.7
0.0 0.0 Bottom
434.9 1868.5 1868.5 1.702X-X
Y-Y 17155.7
-138.7 -131.3
-147.2 821.2
-143.8 440.2
0.0 0.0 Bottom
387.9 1159.0 1177.4 4.032X-X
Y-Y 23086.3
-123.4 -186.9
-139.3 1377.9
-132.9 752.0
0.0 0.0 Bottom
415.3 1837.8 1845.2 2.904X-X
Y-Y 32670.2
-88.0 -34.9
419.1 -759.4
216.2 -469.6
0.0 0.0 Bottom
734.7 1331.5 1520.8 2.304X-X
Y-Y 34016.1
-127.4 -134.1
425.1 -754.5
204.1 -506.4
0.0 0.0 Bottom
759.0 1347.2 1546.4 2.218X-X
Y-Y 17651.9
-65.5 -229.0
-532.2 610.4
-345.5 274.6
0.0 0.0 Bottom
764.2 876.5 1162.9 4.117X-X
Y-Y 18997.7
-104.9 -328.3
-526.2 615.3
-357.7 246.1
0.0 0.0 Bottom
773.1 904.1 1189.6 3.842X-X
Y-Y 40909.7
-78.8 -212.7
142.8 -1614.7
57.1 -1053.9
0.0 0.0 Bottom
363.3 2429.7 2439.2 1.739X-X
Y-Y 42557.0
-127.0 -333.9
149.8 -1609.0
59.9 -1099.0
0.0 0.0 Bottom
429.6 2456.5 2467.1 1.677X-X
Y-Y 9111.0
-65.9 -29.3
-257.0 1464.9
-180.5 867.2
0.0 0.0 Bottom
288.4 1644.4 1669.5 5.907X-X
Y-Y 10758.2
-114.1 -150.5
-249.9 1470.6
-195.6 822.1
0.0 0.0 Bottom
286.0 1682.7 1706.8 5.281X-X
Y-Y 18331.8
-7.9 114.0
-656.2 -1113.2
-396.9 -622.3
0.0 0.0 Bottom
842.4 1429.1 1658.9 3.781X-X
Y-Y 33336.1
-185.0 -477.2
549.1 969.1
255.5 390.6
0.0 0.0 Bottom
877.8 1549.2 1780.6 2.215X-X
Y-Y 18331.8
-7.9 114.0
-656.2 -1113.2
-396.9 -622.3
0.0 0.0 Bottom
842.4 1429.1 1658.9 3.781X-X
Y-Y 33336.1
-185.0 -477.2
549.1 969.1
255.5 390.6
0.0 0.0 Bottom
877.8 1549.2 1780.6 2.215X-X
Y-Y 16253.4
44.1 224.6
-362.9 -1815.4
-200.1 -999.4
0.0 0.0 Bottom
426.6 2134.1 2176.4 3.746X-X
Y-Y 35414.6
-237.0 -587.8
255.8 1671.3
102.3 767.6
0.0 0.0 Bottom
501.9 2371.4 2399.0 1.955X-X
Y-Y 16253.4
44.1 224.6
-362.9 -1815.4
-200.1 -999.4
0.0 0.0 Bottom
426.6 2134.1 2176.4 3.746X-X
Y-Y 35414.6
-237.0 -587.8
255.8 1671.3
102.3 767.6
0.0 0.0 Bottom
501.9 2371.4 2399.0 1.955
Trang 20Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 26
381.3 120.3
194.4 90.1
0.0 0.0 Top
832.9 289.2 570.4 3.283X-X
Y-Y 25018.3
-125.3 -54.5
387.4 125.2
182.3 53.4
0.0 0.0 Top
863.5 279.2 637.0 3.109X-X
Y-Y 26649.6
-67.6 -269.4
-494.5 -308.7
-323.7 -293.0
0.0 0.0 Top
962.5 829.4 849.0 2.834X-X
Y-Y 27995.5
-107.0 -264.5
-488.5 -408.0
-335.9 -350.6
0.0 0.0 Top
980.8 949.6 981.7 2.682X-X
Y-Y 39103.6
-72.7 -294.8
-131.2 -1467.7
-107.8 -998.5
0.0 0.0 Bottom
260.0 2246.6 2255.6 1.821X-X
Y-Y 40750.8
-120.9 -416.0
-124.2 -1462.0
-122.9 -1043.6
0.0 0.0 Bottom
348.2 2274.1 2282.3 1.753X-X
Y-Y 10917.2
17.1 52.8
-72.0 1317.9
-36.4 811.9
0.0 0.0 Bottom
248.1 1536.2 1536.3 5.343X-X
Y-Y 12564.4
24.1 -68.4
-120.2 1323.5
-62.5 766.8
0.0 0.0 Bottom
338.6 1574.8 1575.1 4.804X-X
Y-Y 18331.8
-7.9 114.0
-656.2 -1113.2
-396.9 -622.3
0.0 0.0 Bottom
842.4 1429.1 1658.9 3.781X-X
Y-Y 33336.1
-185.0 -477.2
549.1 969.1
255.5 390.6
0.0 0.0 Bottom
877.8 1549.2 1780.6 2.215X-X
Y-Y 18331.8
-7.9 114.0
-656.2 -1113.2
-396.9 -622.3
0.0 0.0 Bottom
842.4 1429.1 1658.9 3.781X-X
Y-Y 33336.1
-185.0 -477.2
549.1 969.1
255.5 390.6
0.0 0.0 Bottom
877.8 1549.2 1780.6 2.215X-X
Y-Y 16253.4
44.1 224.6
-362.9 -1815.4
-200.1 -999.4
0.0 0.0 Bottom
426.6 2134.1 2176.4 3.746X-X
Y-Y 35414.6
-237.0 -587.8
255.8 1671.3
102.3 767.6
0.0 0.0 Bottom
501.9 2371.4 2399.0 1.955X-X
Y-Y 16253.4
44.1 224.6
-362.9 -1815.4
-200.1 -999.4
0.0 0.0 Bottom
426.6 2134.1 2176.4 3.746X-X
Y-Y 35414.6
-237.0 -587.8
255.8 1671.3
102.3 767.6
0.0 0.0 Bottom
501.9 2371.4 2399.0 1.955X-X
Y-Y 30738.3
28.2 -113.0
69.6 -293.4
53.0 -221.2
0.0 0.0 Top
211.4 891.6 916.3 2.488X-X
Y-Y 29402.3
58.5 -145.9
221.4 -186.8
156.2 -170.4
0.0 0.0 Top
712.5 748.0 783.8 2.630X-X
Y-Y 29622.2
56.9 -127.5
350.5 -208.7
233.1 -176.3
0.0 0.0 Top
907.3 780.4 808.8 2.601X-X
Y-Y 31077.3
74.9 -91.8
-297.3 -360.3
-148.4 -252.9
0.0 0.0 Top
891.2 968.8 989.5 2.445X-X
Y-Y 31297.1
73.3 -73.5
-168.2 -382.2
-71.6 -258.7
0.0 0.0 Top
741.8 997.0 1015.1 2.423X-X
Y-Y 37702.2
43.6 -363.2
62.2 -1538.7
54.8 -1068.5
0.0 0.0 Bottom
133.3 2292.1 2294.0 1.876X-X
Y-Y 44561.1
42.7 -458.1
85.9 -991.1
68.6 -777.9
0.0 0.0 Bottom
162.8 1879.0 1886.0 1.655X-X
Y-Y 14584.2
-38.9 -75.3
74.3 785.0
29.7 440.9
0.0 0.0 Bottom
279.0 1076.3 1077.6 4.644X-X
Y-Y 21443.2
-15.3 -170.3
73.4 1332.6
37.9 731.4
0.0 0.0 Bottom
243.3 1761.4 1761.5 3.100
Trang 21318.4 -408.3
0.0 0.0 Bottom
858.2 1044.5 1351.8 2.635X-X
Y-Y 31251.5 -294.8 20.8 -560.6 500.4 308.6 -454.3 0.0 0.0 Top 1026.8 916.6 920.6 2.431X-X
Y-Y 19514.6
57.0 -121.5
-469.9 398.8
-259.2 190.7
0.0 0.0 Bottom
767.5 651.4 1006.7 3.816X-X
Y-Y 21978.6
21.0 -295.1
-462.2 437.9
-268.9 175.2
0.0 0.0 Bottom
781.3 740.2 1076.3 3.395X-X
Y-Y 40966.7 -310.3 57.2 -1563.3 212.0 -1062.1 150.1 0.0 0.0 Bottom 2375.2 322.1 2396.9 1.746X-X
Y-Y 43982.3
13.1 -522.2
221.1 -1515.4
137.9 -1118.2
0.0 0.0 Bottom
348.0 2385.9 2411.1 1.639X-X
Y-Y 6783.8
64.7 105.9
-190.6 1353.7
-88.5 854.6
0.0 0.0 Bottom
209.5 1488.0 1502.7 7.253X-X
Y-Y 9799.4
20.6 -106.1
-181.5 1401.5
-100.6 798.5
0.0 0.0 Bottom
206.7 1595.9 1609.2 5.682X-X
Y-Y 17990.1
132.7 152.6
-600.2 -952.4
-307.0 -510.4
0.0 0.0 Bottom
792.0 1256.8 1485.6 3.915X-X
Y-Y 32776.0
-54.8 -568.9
630.6 790.7
356.5 316.3
0.0 0.0 Top
1039.4 1303.2 1227.1 2.269X-X
Y-Y 17990.1
132.7 152.6
-600.2 -952.4
-307.0 -510.4
0.0 0.0 Bottom
792.0 1256.8 1485.6 3.915X-X
Y-Y 32776.0
-54.8 -568.9
630.6 790.7
356.5 316.3
0.0 0.0 Top
1039.4 1303.2 1227.1 2.269X-X
Y-Y 13687.4
170.5 421.1
-302.4 -1728.0
-120.9 -868.3
0.0 0.0 Bottom
349.5 1997.6 2028.0 4.292X-X
Y-Y 37078.7
-92.7 -837.4
332.8 1566.2
162.6 626.5
0.0 0.0 Bottom
487.0 2291.6 2342.7 1.896X-X
Y-Y 13687.4
170.5 421.1
-302.4 -1728.0
-120.9 -868.3
0.0 0.0 Bottom
349.5 1997.6 2028.0 4.292X-X
Y-Y 37078.7
-92.7 -837.4
332.8 1566.2
162.6 626.5
0.0 0.0 Bottom
487.0 2291.6 2342.7 1.896X-X
Y-Y 18435.6
59.4 16.0
455.2 263.2
296.8 164.3
0.0 0.0 Bottom
774.4 447.8 894.5 4.134X-X
Y-Y 20899.5
23.3 -157.6
462.9 302.3
287.1 120.9
0.0 0.0 Bottom
812.9 571.1 970.9 3.651X-X
Y-Y 29866.6
54.6 -258.8
-432.4 -464.1
-237.6 -381.9
0.0 0.0 Bottom
839.7 901.1 1231.6 2.529X-X
Y-Y 32330.5
18.5 -425.0
-424.7 -432.3
-247.4 -429.4
0.0 0.0 Top
881.8 1078.4 1079.3 2.326X-X
Y-Y 41290.4
56.5 -351.5
-65.6 -1522.6
-26.2 -1054.2
0.0 0.0 Bottom
187.6 2347.6 2349.8 1.725X-X
Y-Y 44306.0
12.4 -563.5
-56.5 -1474.8
-28.9 -1110.2
0.0 0.0 Bottom
90.4 2360.2 2362.0 1.621X-X
Y-Y 6460.1
65.4 147.1
86.9 1313.0
78.3 846.6
0.0 0.0 Bottom
117.9 1441.9 1445.1 7.520X-X
Y-Y 9475.7
21.3 -64.8
96.0 1360.8
66.2 790.5
0.0 0.0 Bottom
109.4 1549.9 1553.7 5.845X-X
Y-Y 17990.1
132.7 152.6
-600.2 -952.4
-307.0 -510.4
0.0 0.0 Bottom
792.0 1256.8 1485.6 3.915
Trang 22Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 76
630.6 790.7
356.5 316.3
0.0 0.0 Top
1039.4 1303.2 1227.1 2.269X-X
Y-Y 17990.1 132.7 152.6 -600.2 -952.4 -307.0 -510.4 0.0 0.0 Bottom 1256.8 792.0 1485.6 3.915X-X
Y-Y 32776.0
-54.8 -568.9
630.6 790.7
356.5 316.3
0.0 0.0 Top
1039.4 1303.2 1227.1 2.269X-X
Y-Y 13687.4
170.5 421.1
-302.4 -1728.0
-120.9 -868.3
0.0 0.0 Bottom
349.5 1997.6 2028.0 4.292X-X
Y-Y 37078.7 -837.4 -92.7 1566.2 332.8 162.6 626.5 0.0 0.0 Bottom 2291.6 487.0 2342.7 1.896X-X
Y-Y 13687.4
170.5 421.1
-302.4 -1728.0
-120.9 -868.3
0.0 0.0 Bottom
349.5 1997.6 2028.0 4.292X-X
Y-Y 37078.7
-92.7 -837.4
332.8 1566.2
162.6 626.5
0.0 0.0 Bottom
487.0 2291.6 2342.7 1.896X-X
Y-Y 34088.2
-9.7 -78.9
-12.0 -167.2
-11.1 -131.8
0.0 0.0 Top
114.9 847.8 849.2 2.247X-X
Y-Y 28636.0
-14.3 -12.0
184.2 -105.0
104.8 -67.8
0.0 0.0 Top
755.7 672.5 678.7 2.683X-X
Y-Y 30608.6
-16.0 18.6
313.8 -105.8
181.9 -56.1
0.0 0.0 Top
924.9 711.1 719.2 2.512X-X
Y-Y 36714.4
-2.7 -170.8
-337.0 -214.9
-203.3 -197.2
0.0 0.0 Top
992.0 949.1 949.2 2.083X-X
Y-Y 38687.1
-4.4 -140.2
-207.4 -215.7
-126.2 -185.5
0.0 0.0 Top
848.4 989.3 989.5 1.978X-X
Y-Y 40663.0
-20.9 -223.7
29.5 -1437.5
11.8 -952.0
0.0 0.0 Bottom
96.7 2250.6 2251.0 1.760X-X
Y-Y 47561.4
-24.8 -306.3
51.5 -913.9
21.0 -670.8
0.0 0.0 Bottom
105.1 1863.6 1866.6 1.560X-X
Y-Y 18055.2
7.1 12.8
-73.0 773.0
-41.0 468.9
0.0 0.0 Bottom
183.0 1132.5 1137.5 3.851X-X
Y-Y 24953.6
3.3 -69.8
-51.0 1296.6
-29.3 750.0
0.0 0.0 Bottom
70.6 1795.2 1796.6 2.726X-X
Y-Y 25198.3
11.9 -69.8
469.8 -397.3
286.7 -266.3
0.0 0.0 Bottom
854.7 722.6 1119.2 3.043X-X
Y-Y 28160.7
-23.3 -288.3
478.0 -322.9
277.4 -309.0
0.0 0.0 Top
944.7 849.7 852.5 2.685X-X
Y-Y 28194.1
9.4 73.9
-494.1 216.5
-292.7 159.5
0.0 0.0 Top
1010.6 633.4 638.4 2.703X-X
Y-Y 31156.6
-25.9 -144.6
-486.0 290.9
-302.0 116.7
0.0 0.0 Bottom
1020.7 757.9 1189.5 2.444X-X
Y-Y 41651.1
3.5 -170.4
184.7 -1439.1
112.2 -931.6
0.0 0.0 Bottom
290.8 2265.4 2284.0 1.728X-X
Y-Y 45276.7
-39.6 -437.3
194.3 -1348.5
100.7 -984.0
0.0 0.0 Bottom
323.4 2244.8 2268.0 1.608X-X
Y-Y 11078.2
25.6 222.9
-210.5 1242.1
-116.0 834.4
0.0 0.0 Bottom
247.5 1460.6 1481.4 5.410X-X
Y-Y 14703.8
-17.5 -43.9
-200.9 1332.8
-127.5 782.1
0.0 0.0 Bottom
244.7 1623.6 1641.9 4.273X-X
Y-Y 20540.6
90.2 341.4
-625.5 -819.5
-339.2 -355.1
0.0 0.0 Bottom
874.8 1146.0 1441.7 3.516
Trang 23323.9 285.2
0.0 0.0 Top
1074.7 1259.8 1281.7 2.088X-X
Y-Y 20540.6
90.2 341.4
-625.5 -819.5
-339.2 -355.1
0.0 0.0 Bottom
874.8 1146.0 1441.7 3.516X-X
Y-Y 35814.2
-104.2 -555.8
609.3 713.1
323.9 285.2
0.0 0.0 Top
1074.7 1259.8 1281.7 2.088X-X
Y-Y 15500.9
126.0 679.3
-325.7 -1621.0
-145.0 -700.9
0.0 0.0 Bottom
386.7 1924.9 1963.4 3.996X-X
Y-Y 40854.0
-140.0 -893.6
309.5 1514.6
129.7 605.9
0.0 0.0 Bottom
473.1 2315.2 2363.0 1.739X-X
Y-Y 15500.9
126.0 679.3
-325.7 -1621.0
-145.0 -700.9
0.0 0.0 Bottom
386.7 1924.9 1963.4 3.996X-X
Y-Y 40854.0
-140.0 -893.6
309.5 1514.6
129.7 605.9
0.0 0.0 Bottom
473.1 2315.2 2363.0 1.739X-X
Y-Y 14823.0
19.5 45.6
434.9 426.0
268.7 273.9
0.0 0.0 Bottom
646.7 633.4 905.2 5.008X-X
Y-Y 17785.5
-15.8 -172.8
443.0 500.4
259.5 231.1
0.0 0.0 Bottom
678.8 766.7 1024.0 4.181X-X
Y-Y 38569.4
1.8 -41.5
-459.2 -606.7
-274.8 -380.6
0.0 0.0 Bottom
924.7 1221.8 1532.3 1.958X-X
Y-Y 41531.8
-33.4 -260.0
-451.1 -532.4
-284.0 -423.4
0.0 0.0 Bottom
988.0 1166.1 1528.4 1.829X-X
Y-Y 45662.4
0.5 -161.9
-94.0 -1502.0
-56.2 -966.0
0.0 0.0 Bottom
151.0 2413.4 2418.2 1.574X-X
Y-Y 49288.0
-42.6 -428.8
-84.4 -1411.4
-67.7 -1018.3
0.0 0.0 Bottom
143.3 2395.4 2399.6 1.472X-X
Y-Y 7066.9
28.6 214.4
68.2 1305.0
52.4 868.8
0.0 0.0 Bottom
75.6 1446.1 1448.1 7.155X-X
Y-Y 10692.4
-14.5 -52.4
77.8 1395.6
40.9 816.4
0.0 0.0 Bottom
89.7 1609.1 1611.6 5.337X-X
Y-Y 20540.6
90.2 341.4
-625.5 -819.5
-339.2 -355.1
0.0 0.0 Bottom
874.8 1146.0 1441.7 3.516X-X
Y-Y 35814.2
-104.2 -555.8
609.3 713.1
323.9 285.2
0.0 0.0 Top
1074.7 1259.8 1281.7 2.088X-X
Y-Y 20540.6
90.2 341.4
-625.5 -819.5
-339.2 -355.1
0.0 0.0 Bottom
874.8 1146.0 1441.7 3.516X-X
Y-Y 35814.2
-104.2 -555.8
609.3 713.1
323.9 285.2
0.0 0.0 Top
1074.7 1259.8 1281.7 2.088X-X
Y-Y 15500.9
126.0 679.3
-325.7 -1621.0
-145.0 -700.9
0.0 0.0 Bottom
386.7 1924.9 1963.4 3.996X-X
Y-Y 40854.0
-140.0 -893.6
309.5 1514.6
129.7 605.9
0.0 0.0 Bottom
473.1 2315.2 2363.0 1.739X-X
Y-Y 15500.9
126.0 679.3
-325.7 -1621.0
-145.0 -700.9
0.0 0.0 Bottom
386.7 1924.9 1963.4 3.996X-X
Y-Y 40854.0
-140.0 -893.6
309.5 1514.6
129.7 605.9
0.0 0.0 Bottom
473.1 2315.2 2363.0 1.739X-X
Y-Y 30357.3
67.0 -86.9
146.1 -220.7
114.5 -167.2
0.0 0.0 Top
481.3 727.0 871.9 2.569X-X
Y-Y 30043.9
138.0 -12.7
260.9 -424.5
211.7 -259.8
0.0 0.0 Bottom
736.4 936.4 1099.1 2.556
Trang 24Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 126
391.3 -294.2
289.1 -214.1
0.0 0.0 Bottom
873.2 656.6 1092.5 2.579X-X
Y-Y 29759.1
146.9 125.0
-261.7 -335.1
-104.7 -151.1
0.0 0.0 Top
798.8 880.2 961.0 2.584X-X
Y-Y 29859.8
-131.2 255.2
144.6 -416.2
57.8 -166.5
0.0 0.0 Bottom
404.3 980.3 884.2 2.544X-X
Y-Y 35090.9
94.5 -199.7
107.1 -1602.4
102.0 -1041.3
0.0 0.0 Bottom
438.6 2303.0 2307.0 1.997X-X
Y-Y 39916.4
102.9 -213.0
116.2 -1031.0
110.9 -703.8
0.0 0.0 Bottom
450.1 1824.3 1835.9 1.836X-X
Y-Y 18365.3
4.8 -190.7
160.4 871.0
98.1 446.3
0.0 0.0 Bottom
396.8 1238.3 1238.4 3.741X-X
Y-Y 23190.8
26.5 -204.0
156.2 1442.4
104.3 783.8
0.0 0.0 Bottom
438.2 1906.1 1906.4 2.868X-X
Y-Y 28870.1
125.8 127.0
527.6 -1008.1
366.8 -554.1
0.0 0.0 Bottom
795.3 1519.7 1715.2 2.551X-X
Y-Y 28978.2
88.8 112.3
534.8 -948.7
356.4 -524.3
0.0 0.0 Bottom
819.4 1453.6 1668.7 2.555X-X
Y-Y 20871.6
113.2 -430.8
-441.5 821.2
-219.6 328.5
0.0 0.0 Bottom
639.1 1188.8 1349.7 3.436X-X
Y-Y 20979.7
76.2 -445.5
-434.2 880.5
-230.0 352.2
0.0 0.0 Bottom
619.8 1256.8 1401.3 3.397X-X
Y-Y 37287.4
112.7 -91.1
240.1 -1748.0
189.1 -1085.2
0.0 0.0 Bottom
692.6 2486.8 2510.1 1.884X-X
Y-Y 37419.5
67.6 -108.9
248.6 -1676.2
176.2 -1049.3
0.0 0.0 Bottom
462.0 2416.5 2442.9 1.887X-X
Y-Y 12430.3
134.4 -209.6
-155.3 1548.6
-62.1 845.3
0.0 0.0 Bottom
268.7 1796.0 1805.0 4.657X-X
Y-Y 12562.5
89.3 -227.4
-146.7 1620.4
-58.7 881.3
0.0 0.0 Bottom
181.1 1870.6 1878.2 4.562X-X
Y-Y 19966.0
190.9 192.1
-563.3 -1422.7
-261.6 -776.8
0.0 0.0 Bottom
710.3 1794.0 1929.5 3.379X-X
Y-Y 29883.9
11.1 -510.6
656.7 1295.1
398.4 572.9
0.0 0.0 Bottom
926.9 1828.2 2049.8 2.399X-X
Y-Y 19966.0
190.9 192.1
-563.3 -1422.7
-261.6 -776.8
0.0 0.0 Bottom
710.3 1794.0 1929.5 3.379X-X
Y-Y 29883.9
11.1 -510.6
656.7 1295.1
398.4 572.9
0.0 0.0 Bottom
926.9 1828.2 2049.8 2.399X-X
Y-Y 17646.2
240.6 89.2
-264.4 -2029.0
-105.8 -1181.7
0.0 0.0 Bottom
571.5 2379.0 2399.1 3.409X-X
Y-Y 32203.6
-38.6 -407.7
357.8 1901.4
199.3 977.8
0.0 0.0 Bottom
476.9 2534.4 2578.9 2.102X-X
Y-Y 17646.2
240.6 89.2
-264.4 -2029.0
-105.8 -1181.7
0.0 0.0 Bottom
571.5 2379.0 2399.1 3.409X-X
Y-Y 32203.6
-38.6 -407.7
357.8 1901.4
199.3 977.8
0.0 0.0 Bottom
476.9 2534.4 2578.9 2.102X-X
Y-Y 21466.6
134.2 -102.2
493.1 143.1
349.5 57.2
0.0 0.0 Bottom
913.5 456.3 932.9 3.605X-X
Y-Y 21574.7
97.2 -42.9
500.3 128.4
339.1 59.9
0.0 0.0 Bottom
930.3 472.5 933.7 3.589
Trang 25-202.3 -302.0
0.0 0.0 Top
960.6 997.5 1024.6 2.665X-X
Y-Y 28383.3 -25.4 67.8 -399.7 -461.6 -212.7 -287.1 0.0 0.0 Top 1023.2 966.2 1034.2 2.640X-X
Y-Y 37108.9
-40.3 -263.3
106.4 -1470.9
47.7 -987.9
0.0 0.0 Bottom
384.5 2212.8 2213.7 1.910X-X
Y-Y 37241.0
-31.7 -281.1
61.2 -1399.2
24.5 -952.0
0.0 0.0 Bottom
219.8 2143.8 2144.4 1.910X-X
Y-Y 12608.8 125.1 -37.4 1271.6 140.8 134.5 748.0 0.0 0.0 Bottom 1522.6 384.5 1529.9 4.852X-X
Y-Y 12741.0
95.6 -55.2
133.6 1343.4
118.4 783.9
0.0 0.0 Bottom
316.3 1596.9 1604.8 4.747X-X
Y-Y 19966.0
190.9 192.1
-563.3 -1422.7
-261.6 -776.8
0.0 0.0 Bottom
710.3 1794.0 1929.5 3.379X-X
Y-Y 29883.9
11.1 -510.6
656.7 1295.1
398.4 572.9
0.0 0.0 Bottom
926.9 1828.2 2049.8 2.399X-X
Y-Y 19966.0
190.9 192.1
-563.3 -1422.7
-261.6 -776.8
0.0 0.0 Bottom
710.3 1794.0 1929.5 3.379X-X
Y-Y 29883.9
11.1 -510.6
656.7 1295.1
398.4 572.9
0.0 0.0 Bottom
926.9 1828.2 2049.8 2.399X-X
Y-Y 17646.2
240.6 89.2
-264.4 -2029.0
-105.8 -1181.7
0.0 0.0 Bottom
571.5 2379.0 2399.1 3.409X-X
Y-Y 32203.6
-38.6 -407.7
357.8 1901.4
199.3 977.8
0.0 0.0 Bottom
476.9 2534.4 2578.9 2.102X-X
Y-Y 17646.2
240.6 89.2
-264.4 -2029.0
-105.8 -1181.7
0.0 0.0 Bottom
571.5 2379.0 2399.1 3.409X-X
Y-Y 32203.6
-38.6 -407.7
357.8 1901.4
199.3 977.8
0.0 0.0 Bottom
476.9 2534.4 2578.9 2.102X-X
Y-Y 28456.6
-113.9 78.3
-209.1 297.7
-171.0 209.9
0.0 0.0 Top
583.0 763.5 932.9 2.668X-X
Y-Y 30670.5
-112.4 -116.3
138.8 339.8
55.5 157.4
0.0 0.0 Top
609.0 922.2 971.3 2.448X-X
Y-Y 32631.0
-147.7 -40.8
300.1 325.1
121.0 178.7
0.0 0.0 Top
946.8 919.3 1009.7 2.317X-X
Y-Y 23571.0
-255.5 192.6
-519.8 251.8
-414.1 228.1
0.0 0.0 Bottom
961.8 582.6 1025.7 3.219X-X
Y-Y 25531.5
-290.9 237.1
-358.5 268.0
-331.4 255.7
0.0 0.0 Bottom
767.4 573.8 958.2 2.979X-X
Y-Y 29475.7
-38.1 202.0
-172.7 -1394.5
-118.9 -755.9
0.0 0.0 Bottom
555.8 1983.8 1984.5 2.365X-X
Y-Y 31417.9
-9.0 168.8
-172.8 -846.8
-107.3 -440.5
0.0 0.0 Bottom
622.3 1475.1 1475.2 2.317X-X
Y-Y 23362.1
-194.3 371.0
-200.8 989.0
-198.2 741.8
0.0 0.0 Bottom
423.3 1447.5 1475.2 2.999X-X
Y-Y 25304.2
-165.2 337.8
-200.9 1536.8
-186.6 1057.2
0.0 0.0 Bottom
459.6 2040.0 2051.7 2.646X-X
Y-Y 31754.6
-10.8 264.5
509.2 -655.4
301.2 -287.5
0.0 0.0 Top
898.8 1156.9 899.8 2.359X-X
Y-Y 32098.9
-16.9 209.2
537.9 -637.5
316.0 -298.8
0.0 0.0 Top
951.9 1128.2 851.9 2.345
Trang 26Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 176
-691.1 748.5
-520.9 533.1
0.0 0.0 Bottom
894.0 968.2 1317.8 4.719X-X
Y-Y 15298.1 -271.6 154.7 -662.4 766.4 -506.1 521.7 0.0 0.0 Bottom 862.5 997.9 1319.0 4.613X-X
Y-Y 30403.7
-98.5 186.7
158.3 -1480.2
63.3 -813.4
0.0 0.0 Bottom
382.1 2084.8 2096.7 2.295X-X
Y-Y 30825.3
-106.1 119.2
192.8 -1458.7
77.1 -827.5
0.0 0.0 Bottom
515.9 2069.9 2087.9 2.275X-X
Y-Y 16227.4 -176.3 299.9 1569.7 -346.0 1061.8 -278.1 0.0 0.0 Bottom 1886.6 415.9 1931.9 3.844X-X
Y-Y 16649.0
-184.0 232.4
-311.5 1591.2
-260.5 1047.7
0.0 0.0 Bottom
390.6 1918.0 1954.4 3.751X-X
Y-Y 16463.4
68.7 370.3
-870.5 -1025.3
-494.8 -467.1
0.0 0.0 Bottom
1083.6 1276.3 1674.3 4.202X-X
Y-Y 30589.3
-351.1 48.9
717.3 1136.3
289.9 701.3
0.0 0.0 Bottom
1043.8 1653.7 1955.6 2.384X-X
Y-Y 16463.4
68.7 370.3
-870.5 -1025.3
-494.8 -467.1
0.0 0.0 Bottom
1083.6 1276.3 1674.3 4.202X-X
Y-Y 30589.3
-351.1 48.9
717.3 1136.3
289.9 701.3
0.0 0.0 Bottom
1043.8 1653.7 1955.6 2.384X-X
Y-Y 18598.7
-33.9 485.9
-516.8 -1738.5
-323.7 -848.7
0.0 0.0 Bottom
622.8 2095.1 2185.7 3.438X-X
Y-Y 28454.0
-248.5 -66.8
363.6 1849.5
145.4 1083.0
0.0 0.0 Bottom
798.1 2407.9 2454.0 2.349X-X
Y-Y 18598.7
-33.9 485.9
-516.8 -1738.5
-323.7 -848.7
0.0 0.0 Bottom
622.8 2095.1 2185.7 3.438X-X
Y-Y 28454.0
-248.5 -66.8
363.6 1849.5
145.4 1083.0
0.0 0.0 Bottom
798.1 2407.9 2454.0 2.349X-X
Y-Y 28742.7
-11.3 211.2
461.7 307.2
272.5 268.8
0.0 0.0 Top
984.4 881.6 882.2 2.592X-X
Y-Y 29087.0
-17.4 229.1
490.3 251.9
287.2 242.8
0.0 0.0 Top
1017.4 832.2 834.2 2.574X-X
Y-Y 17965.7
-265.0 -118.1
-643.6 167.3
-492.1 66.9
0.0 0.0 Bottom
997.0 359.0 1013.6 4.164X-X
Y-Y 18309.9
-271.2 -100.2
-614.9 112.0
-477.4 44.8
0.0 0.0 Bottom
976.3 251.8 989.2 4.100X-X
Y-Y 26267.0
-174.7 157.6
-187.6 -1319.0
-182.4 -728.4
0.0 0.0 Bottom
564.9 1839.1 1857.6 2.645X-X
Y-Y 26688.6
-153.0 90.1
-182.4 -1297.5
-170.6 -742.5
0.0 0.0 Bottom
660.9 1827.6 1840.3 2.609X-X
Y-Y 20364.1
-0.2 329.1
-100.1 1408.5
-60.1 976.7
0.0 0.0 Bottom
218.6 1815.8 1815.8 3.216X-X
Y-Y 20785.7
34.3 261.6
-107.7 1430.0
-50.9 962.6
0.0 0.0 Bottom
266.0 1845.6 1846.1 3.150X-X
Y-Y 16463.4
68.7 370.3
-870.5 -1025.3
-494.8 -467.1
0.0 0.0 Bottom
1083.6 1276.3 1674.3 4.202X-X
Y-Y 30589.3
-351.1 48.9
717.3 1136.3
289.9 701.3
0.0 0.0 Bottom
1043.8 1653.7 1955.6 2.384X-X
Y-Y 16463.4
68.7 370.3
-870.5 -1025.3
-494.8 -467.1
0.0 0.0 Bottom
1083.6 1276.3 1674.3 4.202
Trang 27289.9 701.3
0.0 0.0 Bottom
1043.8 1653.7 1955.6 2.384X-X
Y-Y 18598.7
-33.9 485.9
-516.8 -1738.5
-323.7 -848.7
0.0 0.0 Bottom
622.8 2095.1 2185.7 3.438X-X
Y-Y 28454.0
-248.5 -66.8
363.6 1849.5
145.4 1083.0
0.0 0.0 Bottom
798.1 2407.9 2454.0 2.349X-X
Y-Y 18598.7
-33.9 485.9
-516.8 -1738.5
-323.7 -848.7
0.0 0.0 Bottom
622.8 2095.1 2185.7 3.438X-X
Y-Y 28454.0
-248.5 -66.8
363.6 1849.5
145.4 1083.0
0.0 0.0 Bottom
798.1 2407.9 2454.0 2.349X-X
Y-Y 28882.0
81.4 11.7
175.3 60.0
137.7 40.7
0.0 0.0 Bottom
721.7 247.2 659.9 2.723X-X
Y-Y 29209.8
181.4 185.6
302.7 -350.2
254.1 -140.1
0.0 0.0 Bottom
765.8 792.1 1047.0 2.649X-X
Y-Y 29813.2
174.8 134.3
449.4 -211.3
339.5 -84.5
0.0 0.0 Bottom
989.0 497.5 1092.8 2.614X-X
Y-Y 27184.2
164.5 -18.6
-291.7 233.8
-116.7 132.8
0.0 0.0 Bottom
715.9 573.8 917.5 2.812X-X
Y-Y 27787.6
-145.0 -70.0
157.9 372.7
63.1 195.6
0.0 0.0 Bottom
665.9 890.6 955.6 2.696X-X
Y-Y 28278.8
117.5 112.6
133.4 -1490.0
127.1 -849.0
0.0 0.0 Bottom
565.8 2053.8 2060.2 2.445X-X
Y-Y 29095.4
127.2 86.5
143.5 -930.5
137.0 -523.7
0.0 0.0 Bottom
608.4 1505.6 1523.4 2.493X-X
Y-Y 26368.6
4.0 20.3
189.5 951.1
115.3 578.8
0.0 0.0 Bottom
713.9 1478.5 1478.5 2.670X-X
Y-Y 27185.2
30.0 -5.8
183.3 1510.6
122.0 904.1
0.0 0.0 Bottom
726.7 2054.2 2054.6 2.482X-X
Y-Y 26410.1
152.0 246.2
591.9 -959.2
415.9 -477.1
0.0 0.0 Bottom
869.3 1408.7 1655.3 2.786X-X
Y-Y 26463.4
132.3 238.1
613.6 -898.0
421.1 -443.6
0.0 0.0 Bottom
912.2 1335.0 1616.9 2.797X-X
Y-Y 20996.4
112.1 -158.1
-499.1 913.1
-254.6 484.7
0.0 0.0 Bottom
700.5 1281.6 1460.6 3.392X-X
Y-Y 21049.7
92.4 -166.2
-477.4 974.4
-249.5 518.1
0.0 0.0 Bottom
662.6 1352.4 1506.0 3.358X-X
Y-Y 26452.5
124.4 168.3
271.5 -1656.4
212.7 -926.5
0.0 0.0 Bottom
438.9 2178.5 2207.5 2.572X-X
Y-Y 26517.7
100.2 158.4
297.6 -1582.4
218.7 -886.1
0.0 0.0 Bottom
395.7 2103.6 2140.5 2.589X-X
Y-Y 20942.1
144.2 -78.4
-183.1 1597.5
-73.3 927.1
0.0 0.0 Bottom
512.1 2013.6 2026.8 3.086X-X
Y-Y 21007.3
120.0 -88.3
-157.0 1671.5
-62.8 967.6
0.0 0.0 Bottom
458.4 2089.8 2099.0 3.053X-X
Y-Y 21546.4
191.5 261.7
-643.9 -1380.7
-309.7 -723.7
0.0 0.0 Bottom
826.0 1771.2 1954.4 3.185X-X
Y-Y 25913.4
52.9 -181.7
758.4 1395.8
476.2 764.8
0.0 0.0 Bottom
1005.8 1851.2 2106.8 2.716X-X
Y-Y 21546.4
191.5 261.7
-643.9 -1380.7
-309.7 -723.7
0.0 0.0 Bottom
826.0 1771.2 1954.4 3.185
Trang 28Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 226
52.9 -181.7
758.4 1395.8
476.2 764.8
0.0 0.0 Bottom
1005.8 1851.2 2106.8 2.716X-X
Y-Y 21410.2
205.2 174.9
-326.6 -1972.8
-130.6 -1113.7
0.0 0.0 Bottom
531.1 2395.2 2427.8 2.966X-X
Y-Y 26049.6
39.2 -94.9
441.1 1987.9
280.4 1154.8
0.0 0.0 Bottom
554.0 2496.5 2557.2 2.513X-X
Y-Y 21410.2
205.2 174.9
-326.6 -1972.8
-130.6 -1113.7
0.0 0.0 Bottom
531.1 2395.2 2427.8 2.966X-X
Y-Y 26049.6
39.2 -94.9
441.1 1987.9
280.4 1154.8
0.0 0.0 Bottom
554.0 2496.5 2557.2 2.513X-X
Y-Y 25128.9
162.5 -71.7
549.9 204.9
394.9 94.2
0.0 0.0 Top
1048.3 598.6 764.0 3.078X-X
Y-Y 25182.2
142.7 -10.5
571.7 196.7
400.1 113.8
0.0 0.0 Top
1075.2 604.4 746.7 3.070X-X
Y-Y 22277.6
101.7 25.6
-457.1 -116.7
-233.6 -59.8
0.0 0.0 Bottom
902.0 452.7 903.4 3.429X-X
Y-Y 22330.9
81.9 86.8
-435.4 -124.8
-228.5 -49.9
0.0 0.0 Bottom
873.4 498.3 890.6 3.421X-X
Y-Y 25212.7
-43.2 59.4
109.3 -1360.9
48.3 -792.8
0.0 0.0 Bottom
552.3 1864.9 1865.9 2.725X-X
Y-Y 25277.9
-17.1 49.5
85.1 -1286.9
44.2 -752.3
0.0 0.0 Bottom
522.1 1792.4 1792.6 2.734X-X
Y-Y 22181.9
131.6 30.5
159.3 1302.0
148.2 793.4
0.0 0.0 Bottom
595.0 1743.4 1752.3 3.030X-X
Y-Y 22247.1
135.1 20.6
157.7 1376.1
148.7 833.9
0.0 0.0 Bottom
575.0 1818.1 1830.0 3.005X-X
Y-Y 21546.4
191.5 261.7
-643.9 -1380.7
-309.7 -723.7
0.0 0.0 Bottom
826.0 1771.2 1954.4 3.185X-X
Y-Y 25913.4
52.9 -181.7
758.4 1395.8
476.2 764.8
0.0 0.0 Bottom
1005.8 1851.2 2106.8 2.716X-X
Y-Y 21546.4
191.5 261.7
-643.9 -1380.7
-309.7 -723.7
0.0 0.0 Bottom
826.0 1771.2 1954.4 3.185X-X
Y-Y 25913.4
52.9 -181.7
758.4 1395.8
476.2 764.8
0.0 0.0 Bottom
1005.8 1851.2 2106.8 2.716X-X
Y-Y 21410.2
205.2 174.9
-326.6 -1972.8
-130.6 -1113.7
0.0 0.0 Bottom
531.1 2395.2 2427.8 2.966X-X
Y-Y 26049.6
39.2 -94.9
441.1 1987.9
280.4 1154.8
0.0 0.0 Bottom
554.0 2496.5 2557.2 2.513X-X
Y-Y 21410.2
205.2 174.9
-326.6 -1972.8
-130.6 -1113.7
0.0 0.0 Bottom
531.1 2395.2 2427.8 2.966X-X
Y-Y 26049.6
39.2 -94.9
441.1 1987.9
280.4 1154.8
0.0 0.0 Bottom
554.0 2496.5 2557.2 2.513
Load case 113 is critical.
Trang 29Design code : Eurocode 2 - 2004
General design parameters:
(1) The general conditions of clause 5.8.8.2 are applicable.
(2) The specified design axial loads include
the self-weight of the column.
(3) The design axial loads are taken constant
over the height of the column.
Design approach:
The column is designed using the following procedure:
(1) The column design charts are constructed.
(2) The design axis and design ultimate moment are determined
(3) The design axial force and moment capacity is checked on
the relevant design chart.
(4) The procedure is repeated for each load case.
(5) The critical load case is identified as the case yielding the lowest
safety factor about the design axis
Through inspection:
Load case 9 is critical.
Check column slenderness:
End fixity and bracing for bending about the Design axis:
The column is unbraced.
Effective length factor ß = 0.75
Effective column height:
Trang 30Minimum Moments for Design:
Check for mininum eccentricity:
Check that the eccentricity exceeds the minimum in the plane of bending:
Trang 32The initial end moments about the X-X axis:
M1 = Smaller initial end moment = 0.0 kNm
M2 = Larger initial end moment = 586.2 kNm
Trang 33The column is bent in single curvature about the Y-Y axis:
M1 = Smaller initial end moment = 351.2 kNm
M2 = Larger initial end moment = 1604.6 kNm
Design ultimate load and moment:
Design axial load:
Trang 34Mxbot=0.0 kNmMoments about X-X axis( kNm)
Mx=1562.0 kNmMx-imperf+Madd=0.0 kNm
Trang 35The column is checked for applied moment about the design axis.
Through inspection: the critical section lies at the bottom end of the column.
The design axis for the critical load case 9 lies at an angle of 90.00° to the X-axis
The safety factor for the critical load case 9 is 1.14
For bending about the design axis:
Moment distribution along the height of the column for bending about the design axis:
The final design moments were calculated as the vector sum of the X- and Y- moments
of the critical load case This also determined the design axis direction
At the top, Mx = 1820.8 kNm
Near mid-height, Mx = 2295.4 kNm
At the bottom, Mx = 2742.1 kNm
Trang 36Stresses at the bottom end of the column for the critical load case 9
Summary of design calculations:
Design table for critical load case:
Trang 37327.4 192.4
0.0 0.0 Bottom
1301.3 913.3 913.3 1.642X-X
Y-Y 43329.0
0.0 141.7
439.3 334.7
263.6 257.5
0.0 0.0 Bottom
1128.6 1008.3 1008.3 1.597X-X
Y-Y 44001.6
0.0 179.6
380.2 333.7
228.1 272.0
0.0 0.0 Bottom
1041.7 1059.6 1059.6 1.569X-X
Y-Y 39591.8
0.0 -48.3
676.7 211.1
406.0 107.3
0.0 0.0 Bottom
1432.6 840.1 840.1 1.713X-X
Y-Y 40264.4
0.0 -10.4
617.6 210.0
370.5 121.8
0.0 0.0 Bottom
1380.0 815.7 815.7 1.690X-X
Y-Y 24505.0
0.0 176.9
401.6 -1475.8
241.0 -814.7
0.0 0.0 Bottom
850.1 1965.9 1965.9 2.366X-X
Y-Y 31212.7
0.0 100.7
366.8 -895.9
220.1 -497.3
0.0 0.0 Bottom
968.8 1520.2 1520.2 2.020X-X
Y-Y 50165.2
0.0 427.4
621.0 1024.8
372.6 785.8
0.0 0.0 Bottom
1447.4 2028.1 2028.1 1.314X-X
Y-Y 56873.0
0.0 351.2
586.2 1604.6
351.7 1103.2
0.0 0.0 Bottom
1562.0 2742.1 2742.1 1.137X-X
Y-Y 30609.3
0.0 -299.2
105.4 299.5
63.2 119.8
0.0 0.0 Bottom
348.9 911.4 911.4 2.160X-X
Y-Y 34055.4
0.0 27.7
102.1 -210.9
61.2 -115.5
0.0 0.0 Bottom
759.5 892.0 892.0 1.962X-X
Y-Y 35644.9
0.0 323.2
662.5 420.3
397.5 381.4
0.0 0.0 Bottom
1264.5 1036.1 1036.1 1.908X-X
Y-Y 39090.9
0.0 148.4
659.2 411.6
395.5 306.3
0.0 0.0 Bottom
1421.9 1193.4 1193.4 1.732X-X
Y-Y 16484.0
0.0 201.8
215.6 -1505.6
129.3 -822.6
0.0 0.0 Bottom
456.2 1835.2 1835.2 3.232X-X
Y-Y 20374.0
0.0 -104.5
211.9 -1406.3
127.1 -885.6
0.0 0.0 Bottom
577.4 1813.8 1813.8 2.782X-X
Y-Y 49326.2
0.0 552.4
552.6 1518.6
331.6 1132.1
0.0 0.0 Bottom
1250.4 2505.1 2505.1 1.302X-X
Y-Y 53216.3
0.0 246.1
549.0 1617.9
329.4 1069.2
0.0 0.0 Bottom
1520.2 2682.2 2682.2 1.209X-X
Y-Y 23777.8
0.0 1093.1
828.3 -1171.0
497.0 -468.4
0.0 0.0 Bottom
1115.5 1646.5 1646.5 2.512X-X
Y-Y 45922.4
0.0 -645.2
-63.8 1283.3
-38.3 513.3
0.0 0.0 Bottom
154.1 2201.7 2201.7 1.409X-X
Y-Y 23777.8
0.0 1093.1
828.3 -1171.0
497.0 -468.4
0.0 0.0 Bottom
1115.5 1646.5 1646.5 2.512X-X
Y-Y 45922.4
0.0 -645.2
-63.8 1283.3
-38.3 513.3
0.0 0.0 Bottom
154.1 2201.7 2201.7 1.409X-X
Y-Y 18562.0
0.0 1656.1
657.3 -2569.7
394.4 -1027.9
0.0 0.0 Bottom
794.3 2940.9 2940.9 2.528X-X
Y-Y 51138.3
0.0 -1208.2
107.2 2682.0
64.3 1125.9
0.0 0.0 Bottom
197.7 3704.8 3704.8 1.187X-X
Y-Y 18562.0
0.0 1656.1
657.3 -2569.7
394.4 -1027.9
0.0 0.0 Bottom
794.3 2940.9 2940.9 2.528X-X
Y-Y 51138.3
0.0 -1208.2
107.2 2682.0
64.3 1125.9
0.0 0.0 Bottom
197.7 3704.8 3704.8 1.187
Trang 38Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor Load case 26
0.0 403.2
161.4 636.2
96.8 543.0
0.0 0.0 Bottom
465.7 1454.9 1454.9 1.630X-X
Y-Y 44384.5
0.0 131.3
158.1 724.5
94.9 487.2
0.0 0.0 Bottom
841.0 1612.2 1612.2 1.501X-X
Y-Y 25315.8
0.0 316.6
606.5 -612.2
363.9 -244.9
0.0 0.0 Bottom
1055.3 1118.5 1118.5 2.518X-X
Y-Y 28761.8
0.0 44.7
603.2 -523.8
361.9 -296.4
0.0 0.0 Bottom
1176.8 1099.1 1099.1 2.252X-X
Y-Y 14895.9
0.0 207.0
365.9 -1599.4
219.5 -876.9
0.0 0.0 Bottom
625.2 1897.4 1897.4 3.429X-X
Y-Y 18785.9
0.0 -99.3
362.2 -1500.2
217.3 -939.8
0.0 0.0 Bottom
724.6 1875.9 1875.9 2.929X-X
Y-Y 50914.3
0.0 547.3
402.3 1612.5
241.4 1186.4
0.0 0.0 Bottom
1005.5 2630.8 2630.8 1.258X-X
Y-Y 54804.4
0.0 241.0
398.7 1711.8
239.2 1123.5
0.0 0.0 Bottom
1336.7 2807.9 2807.9 1.170X-X
Y-Y 23777.8
0.0 1093.1
828.3 -1171.0
497.0 -468.4
0.0 0.0 Bottom
1115.5 1646.5 1646.5 2.512X-X
Y-Y 45922.4
0.0 -645.2
-63.8 1283.3
-38.3 513.3
0.0 0.0 Bottom
154.1 2201.7 2201.7 1.409X-X
Y-Y 23777.8
0.0 1093.1
828.3 -1171.0
497.0 -468.4
0.0 0.0 Bottom
1115.5 1646.5 1646.5 2.512X-X
Y-Y 45922.4
0.0 -645.2
-63.8 1283.3
-38.3 513.3
0.0 0.0 Bottom
154.1 2201.7 2201.7 1.409X-X
Y-Y 18562.0
0.0 1656.1
657.3 -2569.7
394.4 -1027.9
0.0 0.0 Bottom
794.3 2940.9 2940.9 2.528X-X
Y-Y 51138.3
0.0 -1208.2
107.2 2682.0
64.3 1125.9
0.0 0.0 Bottom
197.7 3704.8 3704.8 1.187X-X
Y-Y 18562.0
0.0 1656.1
657.3 -2569.7
394.4 -1027.9
0.0 0.0 Bottom
794.3 2940.9 2940.9 2.528X-X
Y-Y 51138.3
0.0 -1208.2
107.2 2682.0
64.3 1125.9
0.0 0.0 Bottom
197.7 3704.8 3704.8 1.187
Load case 9 is critical.
Trang 39Design code : Eurocode 2 - 2004
General design parameters:
(1) The general conditions of clause 5.8.8.2 are applicable.
(2) The specified design axial loads include
the self-weight of the column.
(3) The design axial loads are taken constant
over the height of the column.
Design approach:
The column is designed using the following procedure:
(1) The column design charts are constructed.
(2) The design axis and design ultimate moment are determined
(3) The design axial force and moment capacity is checked on
the relevant design chart.
(4) The procedure is repeated for each load case.
(5) The critical load case is identified as the case yielding the lowest
safety factor about the design axis
Through inspection:
Load case 56 is critical.
Check column slenderness:
End fixity and bracing for bending about the Design axis:
The column is unbraced.
Effective length factor ß = 0.75
Effective column height:
Trang 40Minimum Moments for Design:
Check for mininum eccentricity:
Check that the eccentricity exceeds the minimum in the plane of bending: