5 The critical load case is identified as the case yielding the lowest safety factor about the design axis Through inspection: Load case 7 is critical.. The design axis for the critica
Trang 1General column design by PROKON (GenCol Ver W3.0.12 - 12 Dec 2016)
Design 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 7 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 = -197.8 kNm
M2 = Larger initial end moment = 1063.8 kNm
Trang 5The column is bent in double curvature about the Y-Y axis:
M1 = Smaller initial end moment = -3824.4 kNm
M2 = Larger initial end moment = 4574.5 kNm
Design ultimate load and moment:
Design axial load:
Pu = 39106.9 kN
Trang 7Design of column section for ULS:
The column is checked for applied moment about the design axis.
Through inspection: the critical section lies at the top end of the column.
The design axis for the critical load case 7 lies at an angle of 272.48° to the X-axis
The safety factor for the critical load case 7 is 1.11
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 = 5360.9 kNm
Near mid-height, Mx = 2695.5 kNm
At the bottom, Mx = 4751.7 kNm
Trang 8Stresses at the top end of the column for the critical load case 7
Summary of design calculations:
Design table for critical load case:
Trang 9Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor
-1951.7 -3375.8
-1006.0 -1350.3
0.0 0.0 Top
2270.3 3897.3 3926.3 1.604
X-X
Y-Y 25524.7
-352.1 2190.0
-651.8 -3213.8
-531.9 -1285.5
0.0 0.0 Top
797.5 3721.2 3743.5 1.662
X-X
Y-Y 25683.6
404.0 2322.8
-980.7 -3261.5
-426.8 -1304.6
0.0 0.0 Top
1128.6 3753.4 3919.4 1.688
X-X
Y-Y 26252.0
1793.5 2721.9
-4240.5 -3401.8
-1826.9 -1360.7
0.0 0.0 Top
4682.3 3866.2 4370.6 1.693
X-X
Y-Y 26410.9
1164.9 2854.7
-3184.7 -3449.4
-1444.8 -1379.8
0.0 0.0 Top
3578.0 3949.9 4169.1 1.635
X-X
Y-Y 33044.8
311.0 3232.7
-1420.8 -3983.9
-728.1 -1593.6
0.0 0.0 Top
1686.7 4642.8 4657.0 1.299
X-X
Y-Y 39106.9
197.8 3824.4
-1063.8 -4574.5
-559.1 -1829.8
0.0 0.0 Top
1273.4 5355.9 5360.9 1.106
X-X
Y-Y 11628.3
590.1 1073.6
-2638.7 -1912.0
-1347.2 -764.8
0.0 0.0 Top
2854.1 2134.3 2233.6 3.382
X-X
Y-Y 17690.4
476.9 1665.2
-2281.7 -2502.6
-1178.3 -1001.0
0.0 0.0 Top
2567.5 2850.2 2901.4 2.318
X-X
Y-Y 13254.8
4736.1 1209.4
-9239.1 -2059.7
-3695.7 -823.9
0.0 0.0 Bottom
9502.0 2165.4 9583.1 1.988
X-X
Y-Y 30549.2
-4067.9 2959.9
6132.0 -3495.8
2452.8 -1398.3
0.0 0.0 Bottom
6682.3 3894.1 7420.0 1.472
X-X
Y-Y 13254.8
4736.1 1209.4
-9239.1 -2059.7
-3695.7 -823.9
0.0 0.0 Bottom
9502.0 2165.4 9583.1 1.988
X-X
Y-Y 30549.2
-4067.9 2959.9
6132.0 -3495.8
2452.8 -1398.3
0.0 0.0 Bottom
6682.3 3894.1 7420.0 1.472
X-X
Y-Y 8837.7
3002.6 763.7
-6232.3 -1486.0
-2538.3 -594.4
0.0 0.0 Bottom
6407.7 1564.4 6455.7 2.962
X-X
Y-Y 34966.3
-2334.4 3405.7
3125.2 -4069.5
1250.1 -1627.8
0.0 0.0 Top
3598.0 4676.1 5390.8 1.315
X-X
Y-Y 8837.7
3002.6 763.7
-6232.3 -1486.0
-2538.3 -594.4
0.0 0.0 Bottom
6407.7 1564.4 6455.7 2.962
X-X
Y-Y 34966.3
-2334.4 3405.7
3125.2 -4069.5
1250.1 -1627.8
0.0 0.0 Top
3598.0 4676.1 5390.8 1.315
X-X
Y-Y 13254.8
4736.1 1209.4
-9239.1 -2059.7
-3695.7 -823.9
0.0 0.0 Bottom
9502.0 2165.4 9583.1 1.988
X-X
Y-Y 30549.2
-4067.9 2959.9
6132.0 -3495.8
2452.8 -1398.3
0.0 0.0 Bottom
6682.3 3894.1 7420.0 1.472
X-X
Y-Y 13254.8
4736.1 1209.4
-9239.1 -2059.7
-3695.7 -823.9
0.0 0.0 Bottom
9502.0 2165.4 9583.1 1.988
X-X
Y-Y 30549.2
-4067.9 2959.9
6132.0 -3495.8
2452.8 -1398.3
0.0 0.0 Bottom
6682.3 3894.1 7420.0 1.472
X-X
Y-Y 8837.7
3002.6 763.7
-6232.3 -1486.0
-2538.3 -594.4
0.0 0.0 Bottom
6407.7 1564.4 6455.7 2.962
X-X
Y-Y 34966.3
-2334.4 3405.7
3125.2 -4069.5
1250.1 -1627.8
0.0 0.0 Top
3598.0 4676.1 5390.8 1.315
X-X
Y-Y 8837.7
3002.6 763.7
-6232.3 -1486.0
-2538.3 -594.4
0.0 0.0 Bottom
6407.7 1564.4 6455.7 2.962
X-X
Y-Y 34966.3
-2334.4 3405.7
3125.2 -4069.5
1250.1 -1627.8
0.0 0.0 Top
3598.0 4676.1 5390.8 1.315
Trang 10Load case 7 is critical.
Trang 11General column design by PROKON (GenCol Ver W3.0.12 - 12 Dec 2016)
Design 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 an iterative procedure:
(1) An area of reinforcement is chosen.
(2) The column design charts are constructed.
(3) The corresponding slenderness moments are calculated.
(4) The design axis and design ultimate moment are determined
(5) The design axial force and moment capacity is checked on
the relevant design chart.
(6) The safety factor is calculated for this load case.
(7) The procedure is repeated for each load case.
(8) The critical load case is identified as the case yielding the lowest
safety factor about the design axis
Through inspection:
Load case 15 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 double curvature about the X-X axis:
M1 = Smaller initial end moment = -33.5 kNm
M2 = Larger initial end moment = 240.0 kNm
Trang 15The initial moment near mid-height of the column : 5.8.8.2
The column is bent in double curvature about the Y-Y axis:
M1 = Smaller initial end moment = -1226.2 kNm
M2 = Larger initial end moment = 6117.9 kNm
Trang 17=
200
l 150
= 0.35 44.4
200
16.985 150
Trang 18Design ultimate load and moment:
Design axial load:
Pu = 22721.6 kN
Trang 19Design of column section for ULS:
The 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 15 lies at an angle of 86.80° to the X-axis
The safety factor for the critical load case 15 is 1.62
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 = 1688.1 kNm
Near mid-height, Mx = 3637.4 kNm
At the bottom, Mx = 6581.9 kNm
Trang 20Stresses at the bottom end of the column for the critical load case 15
Summary of design calculations:
Design table for critical load case:
Trang 21Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor
79.7 161.4
78.1 64.5
0.0 0.0 Middle
404.8 545.0 525.1 2.238
184.0 1605.2
151.3 872.1
0.0 0.0 Bottom
261.0 1990.1 2003.1 2.286
X-X
Y-Y 22476.1
-37.6 -10.4
52.7 -1302.7
21.1 -785.7
102.1 0.0 Top
603.3 1749.6 604.6 1.971
25.3 -3450.9
10.1 -1836.6
0.0 0.0 Bottom
44.1 3886.8 3886.9 1.891
X-X
Y-Y 23365.3
-5.5 270.6
12.0 -1902.1
5.0 -1033.0
102.6 0.0 Bottom
281.4 2368.5 2372.8 1.901
X-X
Y-Y 17415.8
124.6 -505.1
151.2 2164.2
140.5 1096.5
0.0 0.0 Bottom
251.1 2512.0 2516.1 2.446
X-X
Y-Y 18987.0
120.4 -819.5
159.2 3713.1
143.7 1900.1
0.0 0.0 Bottom
175.7 4092.5 4096.2 2.091
X-X
Y-Y 11949.7
154.5 714.4
-227.2 -3558.7
-90.9 -1849.4
0.0 0.0 Bottom
242.4 3797.2 3804.9 2.979
X-X
Y-Y 23068.6
-39.7 -921.1
332.2 3719.0
183.4 1862.9
102.5 0.0 Bottom
488.2 4177.3 4205.7 1.777
X-X
Y-Y 11949.7
154.5 714.4
-227.2 -3558.7
-90.9 -1849.4
0.0 0.0 Bottom
242.4 3797.2 3804.9 2.979
X-X
Y-Y 23068.6
-39.7 -921.1
332.2 3719.0
183.4 1862.9
102.5 0.0 Bottom
488.2 4177.3 4205.7 1.777
X-X
Y-Y 12296.8
-135.0 1019.5
148.2 -5957.6
59.3 -3166.7
0.0 0.0 Bottom
183.6 6203.5 6205.1 2.365
X-X
Y-Y 22721.6
-33.5 -1226.2
240.0 6117.9
130.6 3180.3
102.2 0.0 Bottom
367.7 6571.6 6581.9 1.615
X-X
Y-Y 12296.8
-135.0 1019.5
148.2 -5957.6
59.3 -3166.7
0.0 0.0 Bottom
183.6 6203.5 6205.1 2.365
X-X
Y-Y 22721.6
-33.5 -1226.2
240.0 6117.9
130.6 3180.3
102.2 0.0 Bottom
367.7 6571.6 6581.9 1.615
X-X
Y-Y 11949.7
154.5 714.4
-227.2 -3558.7
-90.9 -1849.4
0.0 0.0 Bottom
242.4 3797.2 3804.9 2.979
X-X
Y-Y 23068.6
-39.7 -921.1
332.2 3719.0
183.4 1862.9
102.5 0.0 Bottom
488.2 4177.3 4205.7 1.777
X-X
Y-Y 11949.7
154.5 714.4
-227.2 -3558.7
-90.9 -1849.4
0.0 0.0 Bottom
242.4 3797.2 3804.9 2.979
X-X
Y-Y 23068.6
-39.7 -921.1
332.2 3719.0
183.4 1862.9
102.5 0.0 Bottom
488.2 4177.3 4205.7 1.777
X-X
Y-Y 12296.8
-135.0 1019.5
148.2 -5957.6
59.3 -3166.7
0.0 0.0 Bottom
183.6 6203.5 6205.1 2.365
X-X
Y-Y 22721.6
-33.5 -1226.2
240.0 6117.9
130.6 3180.3
102.2 0.0 Bottom
367.7 6571.6 6581.9 1.615
X-X
Y-Y 12296.8
-135.0 1019.5
148.2 -5957.6
59.3 -3166.7
0.0 0.0 Bottom
183.6 6203.5 6205.1 2.365
X-X
Y-Y 22721.6
-33.5 -1226.2
240.0 6117.9
130.6 3180.3
102.2 0.0 Bottom
367.7 6571.6 6581.9 1.615
Trang 22Load case 15 is critical.
Trang 23General column design by PROKON (GenCol Ver W3.0.12 - 12 Dec 2016)
Design 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 11 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 24Minimum Moments for Design:
Check for mininum eccentricity:
Check that the eccentricity exceeds the minimum in the plane of bending:
Trang 26The column is bent in double curvature about the X-X axis:
M1 = Smaller initial end moment = -97.9 kNm
M2 = Larger initial end moment = 162.0 kNm
Trang 27The column is bent in double curvature about the Y-Y axis:
M1 = Smaller initial end moment = -369.3 kNm
M2 = Larger initial end moment = 6035.1 kNm
Design ultimate load and moment:
Design axial load:
Pu = 17845.1 kN
Trang 29Design of column section for ULS:
The 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 11 lies at an angle of 88.46° to the X-axis
The safety factor for the critical load case 11 is 1.73
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 = 739.0 kNm
Near mid-height, Mx = 3830.9 kNm
At the bottom, Mx = 6394.2 kNm
Trang 30Stresses at the bottom end of the column for the critical load case 11
Summary of design calculations:
Design table for critical load case:
Trang 31Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor
-48.1 2506.9
-19.2 1749.4
0.0 0.0 Bottom
72.6 2821.2 2821.6 2.417
X-X
Y-Y 14050.8
-49.5 390.6
74.5 2084.8
29.8 1407.2
0.0 0.0 Bottom
84.8 2365.7 2367.2 2.737
X-X
Y-Y 14729.0
-52.0 248.0
92.3 2331.9
36.9 1498.3
0.0 0.0 Bottom
112.4 2626.3 2628.3 2.583
X-X
Y-Y 16316.2
-11.6 966.6
-44.6 2635.5
-31.4 1967.9
0.0 0.0 Bottom
59.7 2961.8 2961.8 2.324
X-X
Y-Y 16994.3
6.3 823.9
-47.2 2882.6
-25.8 2059.1
0.0 0.0 Bottom
66.6 3222.5 3222.5 2.211
X-X
Y-Y 11231.8
-11.8 -460.9
42.6 701.4
20.8 280.6
0.0 0.0 Top
63.3 926.0 926.2 3.755
X-X
Y-Y 12763.6
-27.5 636.9
47.3 755.1
18.9 707.8
0.0 0.0 Bottom
63.2 1009.8 1011.8 3.313
X-X
Y-Y 17510.7
25.7 554.7
-70.2 4119.4
-31.8 2693.5
0.0 0.0 Bottom
114.1 4469.6 4469.7 1.990
X-X
Y-Y 19042.5
30.4 490.2
-85.9 5335.4
-39.4 3397.3
0.0 0.0 Bottom
151.6 5716.2 5716.3 1.736
X-X
Y-Y 8187.9
7.3 1408.2
-110.8 -1783.4
-63.6 -713.4
0.0 0.0 Bottom
121.0 1946.8 1950.6 4.338
X-X
Y-Y 17845.1
-97.9 -369.3
162.0 6035.1
64.8 3473.3
0.0 0.0 Bottom
189.4 6391.9 6394.2 1.730
X-X
Y-Y 8187.9
7.3 1408.2
-110.8 -1783.4
-63.6 -713.4
0.0 0.0 Bottom
121.0 1946.8 1950.6 4.338
X-X
Y-Y 17845.1
-97.9 -369.3
162.0 6035.1
64.8 3473.3
0.0 0.0 Bottom
189.4 6391.9 6394.2 1.730
X-X
Y-Y 9115.8
11.2 1236.1
-128.9 -2128.2
-72.9 -851.3
0.0 0.0 Bottom
139.9 2310.2 2314.4 3.831
X-X
Y-Y 16917.1
-101.9 -197.2
180.1 6379.9
72.0 3749.1
0.0 0.0 Bottom
257.1 6718.1 6720.8 1.741
X-X
Y-Y 9115.8
11.2 1236.1
-128.9 -2128.2
-72.9 -851.3
0.0 0.0 Bottom
139.9 2310.2 2314.4 3.831
X-X
Y-Y 16917.1
-101.9 -197.2
180.1 6379.9
72.0 3749.1
0.0 0.0 Bottom
257.1 6718.1 6720.8 1.741
X-X
Y-Y 8187.9
7.3 1408.2
-110.8 -1783.4
-63.6 -713.4
0.0 0.0 Bottom
121.0 1946.8 1950.6 4.338
X-X
Y-Y 17845.1
-97.9 -369.3
162.0 6035.1
64.8 3473.3
0.0 0.0 Bottom
189.4 6391.9 6394.2 1.730
X-X
Y-Y 8187.9
7.3 1408.2
-110.8 -1783.4
-63.6 -713.4
0.0 0.0 Bottom
121.0 1946.8 1950.6 4.338
X-X
Y-Y 17845.1
-97.9 -369.3
162.0 6035.1
64.8 3473.3
0.0 0.0 Bottom
189.4 6391.9 6394.2 1.730
X-X
Y-Y 9115.8
11.2 1236.1
-128.9 -2128.2
-72.9 -851.3
0.0 0.0 Bottom
139.9 2310.2 2314.4 3.831
X-X
Y-Y 16917.1
-101.9 -197.2
180.1 6379.9
72.0 3749.1
0.0 0.0 Bottom
257.1 6718.1 6720.8 1.741
X-X
Y-Y 9115.8
11.2 1236.1
-128.9 -2128.2
-72.9 -851.3
0.0 0.0 Bottom
139.9 2310.2 2314.4 3.831
X-X
Y-Y 16917.1
-101.9 -197.2
180.1 6379.9
72.0 3749.1
0.0 0.0 Bottom
257.1 6718.1 6720.8 1.741
Trang 32Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor
-215.9 -726.8
-168.3 -466.1
0.0 0.0 Bottom
340.1 1021.5 1065.6 2.770
X-X
Y-Y 16294.4
-99.8 545.0
-221.8 -1575.6
-173.0 -727.4
0.0 0.0 Bottom
267.3 1898.3 1917.1 2.489
X-X
Y-Y 17009.7
-102.1 292.4
-216.8 -1292.8
-170.9 -658.7
0.0 0.0 Bottom
273.1 1628.3 1651.0 2.438
X-X
Y-Y 13355.1
-87.5 -156.6
-205.8 -444.7
-158.5 -329.5
0.0 0.0 Bottom
418.4 706.8 525.7 3.232
X-X
Y-Y 14070.4
-89.8 126.3
-200.8 -697.4
-156.4 -367.9
0.0 0.0 Top
439.0 976.5 984.5 3.030
X-X
Y-Y 8923.9
-110.1 109.2
-343.9 -189.9
-250.4 -76.0
0.0 0.0 Middle
500.2 276.2 440.2 4.532
X-X
Y-Y 11426.0
-123.4 39.0
-283.3 267.2
-219.3 175.9
0.0 0.0 Bottom
449.5 424.0 617.9 3.718
X-X
Y-Y 18193.8
-57.4 -196.1
-121.1 -1707.9
-95.6 -1103.2
0.0 0.0 Bottom
159.5 2070.9 2076.1 2.241
X-X
Y-Y 20695.9
-60.4 -266.2
-70.6 -1250.8
-66.5 -857.0
0.0 0.0 Bottom
176.8 1664.2 1666.1 2.041
X-X
Y-Y 8258.0
-29.7 1642.6
-291.0 -2947.3
-186.5 -1178.9
0.0 0.0 Bottom
307.2 3111.7 3126.8 3.642
X-X
Y-Y 17230.0
-41.3 1654.2
-117.6 -1794.5
-87.1 -717.8
0.0 0.0 Top
140.2 2138.3 2142.9 2.342
X-X
Y-Y 8258.0
-29.7 1642.6
-291.0 -2947.3
-186.5 -1178.9
0.0 0.0 Bottom
307.2 3111.7 3126.8 3.642
X-X
Y-Y 17230.0
-41.3 1654.2
-117.6 -1794.5
-87.1 -717.8
0.0 0.0 Top
140.2 2138.3 2142.9 2.342
X-X
Y-Y 5721.9
-10.4 955.6
-348.1 -3591.2
-213.1 -1772.4
0.0 0.0 Bottom
359.2 3705.1 3722.4 3.862
X-X
Y-Y 19766.0
15.8 -1107.6
-136.9 2298.1
-75.8 935.8
0.0 0.0 Bottom
185.4 2693.4 2693.5 2.017
X-X
Y-Y 5721.9
-10.4 955.6
-348.1 -3591.2
-213.1 -1772.4
0.0 0.0 Bottom
359.2 3705.1 3722.4 3.862
X-X
Y-Y 19766.0
15.8 -1107.6
-136.9 2298.1
-75.8 935.8
0.0 0.0 Bottom
185.4 2693.4 2693.5 2.017
X-X
Y-Y 8258.0
-29.7 1642.6
-291.0 -2947.3
-186.5 -1178.9
0.0 0.0 Bottom
307.2 3111.7 3126.8 3.642
X-X
Y-Y 17230.0
-41.3 1654.2
-117.6 -1794.5
-87.1 -717.8
0.0 0.0 Top
140.2 2138.3 2142.9 2.342
X-X
Y-Y 8258.0
-29.7 1642.6
-291.0 -2947.3
-186.5 -1178.9
0.0 0.0 Bottom
307.2 3111.7 3126.8 3.642
X-X
Y-Y 17230.0
-41.3 1654.2
-117.6 -1794.5
-87.1 -717.8
0.0 0.0 Top
140.2 2138.3 2142.9 2.342
X-X
Y-Y 5721.9
-10.4 955.6
-348.1 -3591.2
-213.1 -1772.4
0.0 0.0 Bottom
359.2 3705.1 3722.4 3.862
X-X
Y-Y 19766.0
15.8 -1107.6
-136.9 2298.1
-75.8 935.8
0.0 0.0 Bottom
185.4 2693.4 2693.5 2.017
X-X
Y-Y 5721.9
-10.4 955.6
-348.1 -3591.2
-213.1 -1772.4
0.0 0.0 Bottom
359.2 3705.1 3722.4 3.862
X-X
Y-Y 19766.0
15.8 -1107.6
-136.9 2298.1
-75.8 935.8
0.0 0.0 Bottom
185.4 2693.4 2693.5 2.017
Trang 33Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor
-83.9 -349.5
-69.6 -144.7
0.0 0.0 Bottom
181.7 601.1 618.1 3.373
-99.8 -1353.6
-85.4 -797.8
0.0 0.0 Bottom
318.7 1645.2 1649.6 2.793
X-X
Y-Y 10941.1
-28.3 283.3
-61.3 656.8
-48.1 507.4
0.0 0.0 Bottom
81.7 874.7 878.5 3.858
-160.7 184.9
-121.3 81.4
0.0 0.0 Bottom
331.7 363.3 365.1 4.508
X-X
Y-Y 10533.9
-73.4 152.0
-129.2 164.5
-106.9 159.5
0.0 0.0 Bottom
265.7 356.8 410.2 4.143
X-X
Y-Y 14399.7
-10.3 142.8
-18.7 -844.4
-15.3 -449.5
0.0 0.0 Bottom
31.1 1132.3 1132.6 2.939
X-X
Y-Y 15521.5
12.8 122.4
-21.5 -618.5
-8.6 -322.1
0.0 0.0 Bottom
75.2 928.8 929.0 2.777
X-X
Y-Y 5213.0
71.8 757.0
-205.6 -4375.0
-94.6 -2322.2
0.0 0.0 Bottom
210.5 4479.1 4484.1 3.487
X-X
Y-Y 16241.6
96.7 -500.4
-131.9 3754.0
-52.8 2052.2
0.0 0.0 Bottom
214.8 4078.7 4080.1 2.157
X-X
Y-Y 5213.0
71.8 757.0
-205.6 -4375.0
-94.6 -2322.2
0.0 0.0 Bottom
210.5 4479.1 4484.1 3.487
X-X
Y-Y 16241.6
96.7 -500.4
-131.9 3754.0
-52.8 2052.2
0.0 0.0 Bottom
214.8 4078.7 4080.1 2.157
X-X
Y-Y 6051.2
114.1 500.9
-350.2 -2552.3
-164.5 -1331.0
0.0 0.0 Bottom
366.7 2672.2 2697.2 4.575
X-X
Y-Y 15403.4
-174.2 -244.3
241.3 1931.3
96.5 1061.0
0.0 0.0 Bottom
353.0 2237.0 2254.4 2.555
X-X
Y-Y 6051.2
114.1 500.9
-350.2 -2552.3
-164.5 -1331.0
0.0 0.0 Bottom
366.7 2672.2 2697.2 4.575
X-X
Y-Y 15403.4
-174.2 -244.3
241.3 1931.3
96.5 1061.0
0.0 0.0 Bottom
353.0 2237.0 2254.4 2.555
X-X
Y-Y 5213.0
71.8 757.0
-205.6 -4375.0
-94.6 -2322.2
0.0 0.0 Bottom
210.5 4479.1 4484.1 3.487
X-X
Y-Y 16241.6
96.7 -500.4
-131.9 3754.0
-52.8 2052.2
0.0 0.0 Bottom
214.8 4078.7 4080.1 2.157
X-X
Y-Y 5213.0
71.8 757.0
-205.6 -4375.0
-94.6 -2322.2
0.0 0.0 Bottom
210.5 4479.1 4484.1 3.487
X-X
Y-Y 16241.6
96.7 -500.4
-131.9 3754.0
-52.8 2052.2
0.0 0.0 Bottom
214.8 4078.7 4080.1 2.157
X-X
Y-Y 6051.2
114.1 500.9
-350.2 -2552.3
-164.5 -1331.0
0.0 0.0 Bottom
366.7 2672.2 2697.2 4.575
X-X
Y-Y 15403.4
-174.2 -244.3
241.3 1931.3
96.5 1061.0
0.0 0.0 Bottom
353.0 2237.0 2254.4 2.555
X-X
Y-Y 6051.2
114.1 500.9
-350.2 -2552.3
-164.5 -1331.0
0.0 0.0 Bottom
366.7 2672.2 2697.2 4.575
X-X
Y-Y 15403.4
-174.2 -244.3
241.3 1931.3
96.5 1061.0
0.0 0.0 Bottom
353.0 2237.0 2254.4 2.555
Trang 34Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor
-491.8 -1047.5
-378.7 -761.4
0.0 0.0 Bottom
600.1 1278.2 1412.0 3.171
-568.4 -1648.1
-449.2 -1104.3
0.0 0.0 Bottom
661.8 1918.7 2029.6 2.744
X-X
Y-Y 10906.5
-144.7 -367.9
-407.8 -420.8
-302.6 -399.6
0.0 0.0 Bottom
559.7 577.4 804.1 3.795
-887.8 -2125.9
-656.6 -1422.0
0.0 0.0 Bottom
999.6 2393.8 2594.1 2.576
X-X
Y-Y 16257.9
-379.6 -388.0
-725.8 -1637.8
-587.3 -1137.8
0.0 0.0 Bottom
857.6 1935.0 2116.5 2.435
X-X
Y-Y 8421.5
-29.3 -252.6
-236.0 -379.0
-153.3 -328.4
0.0 0.0 Bottom
325.0 522.0 614.9 4.989
X-X
Y-Y 10167.2
-74.0 109.2
-99.1 -274.5
-89.0 -121.0
0.0 0.0 Top
209.6 465.7 495.1 4.278
X-X
Y-Y 5309.4
22.9 282.6
-843.3 -4467.7
-496.8 -2567.6
0.0 0.0 Bottom
863.0 4572.1 4652.8 3.315
X-X
Y-Y 16088.9
-2.9 -834.3
-382.7 2735.1
-230.8 1307.4
0.0 0.0 Bottom
516.8 3056.9 3056.9 2.335
X-X
Y-Y 5309.4
22.9 282.6
-843.3 -4467.7
-496.8 -2567.6
0.0 0.0 Bottom
863.0 4572.1 4652.8 3.315
X-X
Y-Y 16088.9
-2.9 -834.3
-382.7 2735.1
-230.8 1307.4
0.0 0.0 Bottom
516.8 3056.9 3056.9 2.335
X-X
Y-Y 5299.1
56.1 258.4
-994.5 -3198.2
-574.3 -1815.6
0.0 0.0 Bottom
1026.0 3299.4 3455.2 4.034
X-X
Y-Y 16099.2
148.2 -810.1
-415.8 1465.6
-190.2 586.2
0.0 0.0 Bottom
562.9 1785.9 1795.0 2.539
X-X
Y-Y 5299.1
56.1 258.4
-994.5 -3198.2
-574.3 -1815.6
0.0 0.0 Bottom
1026.0 3299.4 3455.2 4.034
X-X
Y-Y 16099.2
148.2 -810.1
-415.8 1465.6
-190.2 586.2
0.0 0.0 Bottom
562.9 1785.9 1795.0 2.539
X-X
Y-Y 5309.4
22.9 282.6
-843.3 -4467.7
-496.8 -2567.6
0.0 0.0 Bottom
863.0 4572.1 4652.8 3.315
X-X
Y-Y 16088.9
-2.9 -834.3
-382.7 2735.1
-230.8 1307.4
0.0 0.0 Bottom
516.8 3056.9 3056.9 2.335
X-X
Y-Y 5309.4
22.9 282.6
-843.3 -4467.7
-496.8 -2567.6
0.0 0.0 Bottom
863.0 4572.1 4652.8 3.315
X-X
Y-Y 16088.9
-2.9 -834.3
-382.7 2735.1
-230.8 1307.4
0.0 0.0 Bottom
516.8 3056.9 3056.9 2.335
X-X
Y-Y 5299.1
56.1 258.4
-994.5 -3198.2
-574.3 -1815.6
0.0 0.0 Bottom
1026.0 3299.4 3455.2 4.034
X-X
Y-Y 16099.2
148.2 -810.1
-415.8 1465.6
-190.2 586.2
0.0 0.0 Bottom
562.9 1785.9 1795.0 2.539
X-X
Y-Y 5299.1
56.1 258.4
-994.5 -3198.2
-574.3 -1815.6
0.0 0.0 Bottom
1026.0 3299.4 3455.2 4.034
X-X
Y-Y 16099.2
148.2 -810.1
-415.8 1465.6
-190.2 586.2
0.0 0.0 Bottom
562.9 1785.9 1795.0 2.539
Trang 35Load case Axis N (kN) M1 (kNm) M2 (kNm) Mi (kNm) Madd (kNm) Design M (kNm) M' (kNm) Safetyfactor
-178.2 -852.9
-132.7 -550.9
0.0 0.0 Bottom
234.5 1122.5 1146.7 3.050
X-X
Y-Y 12508.7
-28.0 26.8
-117.7 -667.5
-81.8 -389.8
0.0 0.0 Bottom
208.6 913.9 928.0 3.394
X-X
Y-Y 13127.9
-47.4 -25.2
-59.7 -492.7
-54.8 -305.7
0.0 0.0 Bottom
279.3 753.4 758.9 3.290
X-X
Y-Y 14083.1
-82.5 -170.7
-296.2 -1204.5
-210.8 -790.9
0.0 0.0 Bottom
363.5 1478.0 1522.0 2.903
X-X
Y-Y 14702.3
-101.9 -222.7
-238.3 -1029.7
-183.7 -706.9
0.0 0.0 Bottom
304.6 1316.2 1350.9 2.832
X-X
Y-Y 15367.0
-128.6 -209.2
-339.5 -2772.9
-255.1 -1747.4
0.0 0.0 Bottom
376.8 3078.0 3101.0 2.408
X-X
Y-Y 17080.7
-168.0 -273.0
-277.6 -2003.1
-233.7 -1311.1
0.0 0.0 Bottom
347.1 2341.5 2363.9 2.323
X-X
Y-Y 9472.6
36.5 77.4
-77.6 323.1
-31.9 224.8
0.0 0.0 Bottom
121.8 507.3 521.7 4.565
X-X
Y-Y 11186.3
-2.9 13.7
-15.7 1092.9
-10.6 661.2
0.0 0.0 Bottom
49.6 1316.6 1316.7 3.631
X-X
Y-Y 7036.4
112.6 377.2
-602.9 -2221.0
-316.7 -1181.7
0.0 0.0 Bottom
639.7 2356.8 2442.1 4.377
X-X
Y-Y 15832.2
-235.1 -554.4
281.6 726.9
112.6 290.8
0.0 0.0 Bottom
396.0 1022.2 1096.2 2.685
X-X
Y-Y 7036.4
112.6 377.2
-602.9 -2221.0
-316.7 -1181.7
0.0 0.0 Bottom
639.7 2356.8 2442.1 4.377
X-X
Y-Y 15832.2
-235.1 -554.4
281.6 726.9
112.6 290.8
0.0 0.0 Bottom
396.0 1022.2 1096.2 2.685
X-X
Y-Y 5777.0
125.9 456.4
-551.8 -3149.1
-280.7 -1706.9
0.0 0.0 Bottom
571.7 3262.9 3312.6 4.122
X-X
Y-Y 17091.6
230.5 -633.6
-248.4 1655.0
-99.4 739.6
0.0 0.0 Bottom
373.2 1993.6 2012.8 2.373
X-X
Y-Y 5777.0
125.9 456.4
-551.8 -3149.1
-280.7 -1706.9
0.0 0.0 Bottom
571.7 3262.9 3312.6 4.122
X-X
Y-Y 17091.6
230.5 -633.6
-248.4 1655.0
-99.4 739.6
0.0 0.0 Bottom
373.2 1993.6 2012.8 2.373
X-X
Y-Y 7036.4
112.6 377.2
-602.9 -2221.0
-316.7 -1181.7
0.0 0.0 Bottom
639.7 2356.8 2442.1 4.377
X-X
Y-Y 15832.2
-235.1 -554.4
281.6 726.9
112.6 290.8
0.0 0.0 Bottom
396.0 1022.2 1096.2 2.685
X-X
Y-Y 7036.4
112.6 377.2
-602.9 -2221.0
-316.7 -1181.7
0.0 0.0 Bottom
639.7 2356.8 2442.1 4.377
X-X
Y-Y 15832.2
-235.1 -554.4
281.6 726.9
112.6 290.8
0.0 0.0 Bottom
396.0 1022.2 1096.2 2.685
X-X
Y-Y 5777.0
125.9 456.4
-551.8 -3149.1
-280.7 -1706.9
0.0 0.0 Bottom
571.7 3262.9 3312.6 4.122
X-X
Y-Y 17091.6
230.5 -633.6
-248.4 1655.0
-99.4 739.6
0.0 0.0 Bottom
373.2 1993.6 2012.8 2.373
X-X
Y-Y 5777.0
125.9 456.4
-551.8 -3149.1
-280.7 -1706.9
0.0 0.0 Bottom
571.7 3262.9 3312.6 4.122
X-X
Y-Y 17091.6
230.5 -633.6
-248.4 1655.0
-99.4 739.6
0.0 0.0 Bottom
373.2 1993.6 2012.8 2.373
Trang 36Load case 11 is critical.
Trang 37General column design by PROKON (GenCol Ver W3.0.12 - 12 Dec 2016)
Design 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 15 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 38Minimum Moments for Design:
Check for mininum eccentricity:
Check that the eccentricity exceeds the minimum in the plane of bending:
Trang 40The column is bent in double curvature about the X-X axis:
M1 = Smaller initial end moment = -5840.3 kNm
M2 = Larger initial end moment = 8601.4 kNm