Col Design
20
N 100 kN 20 kNm 20 kNm 3.50 m 3.50 m column type major direc 0 unbraced minor direc 0 unbraced 1.2 1.2 1.15 1.50 40 460 200 Minor direction b 225 mm b 225 mm h 225 mm h 225 mm 226 226 226 226 d 192 mm d 192 mm d' 33 mm d' 33 mm Biaxial Bending N / Nuz 0.092 1.00 0.978 Goal seek 0.978 set cell 100 100 to value 100 100 1.956 by changing cell 42.70 42.70 2.049 increase column size,reinforcement goal seek ok Mx My lox loy βx βy γm-s γm-c fcu N/mm 2 fy N/mm 2 Es kN/mm 2 As mm 2 As mm 2 As' mm 2 As' mm 2 αn (Mx/Mux) (My/Muy) (Mx/Mux) αn +(My/Muy) αn (Mx/Mux)+(My/Muy)+(N/Nuz)
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Transcript of Col Design
N 100 kN
20 kNm 20 kNm
3.50 m 3.50 mcolumn type major directio 0 unbraced minor directi 0 unbraced
1.2 1.2
1.15
1.50
40
460
200 Minor directionb 225 mm b 225 mmh 225 mm h 225 mm
226 226
226 226d 192 mm d 192 mmd' 33 mm d' 33 mm
Biaxial BendingN / Nuz 0.092
1.00
0.978 Goal seek
0.978 set cell 100 100to value 100 100
1.956 by changing cell 42.70 42.70
2.049increase column size,reinforcement goal seek ok
Mx My
lox loy
βx βy
γm-s
γm-c
fcu N/mm2
fy N/mm2
Es kN/mm2
As mm2 As mm2
As' mm2 As' mm2
αn
(Mx/Mux)
(My/Muy)
(Mx/Mux)αn+(My/Muy)αn
(Mx/Mux)+(My/Muy)+(N/Nuz)
N 100 kN
20 kNm
3.500 mcolumn type 0 unbraced
1
1.15
1.50
40
460
200b 225 mmh 225 mm
226
226 9.71678d 192 mmd' 33 mm
-400
400 333.3
0.0035
-0.0020
Calculate N,M for a 'x' value Table for construct capacity curve
x 122 mm x ∞ 270 247.5 225
0.0026 0.003 0.003 0.003
-0.0020 0.001 0.001 0.001
400.00 400.00 400.00 400.00
-400.00 202.22 156.97 102.67y 109.96 mm y 202.50 202.5 202.5
90.40 kN 90.4 90.4 90.4
-90.40 kN 45.7 35.5 23.2
442.05 kN 814.1 814.1 814.1N 442.05 kN N 1085 950 940 928M 39.80 kNm M 0.0 12.7 13.5 14.5
0.536 0.469 0.464 0.458
0.000 0.028 0.030 0.032Calculate maximum N
1085.30
0.54
Calculate M at no axial forces a 3618.00b 67800.00c -5220600.00
Mx
lox
βx
γm-s
γm-c
fcu N/mm2
fy N/mm2
Es kN/mm2
As mm2
As' mm2
fsu-t N/mm2
fsu-c N/mm2
εcu
εsu
εs' εs'
εs εs
fs' N/mm2 fs'
fs N/mm2 fs
Fs' Fs'
Fs Fs
Fc Fc
N/bhfcu
M/bh2fcu
Nuz
Nmax/bhfcu
0.000 0.010 0.020 0.030 0.040 0.050 0.060 0.070 0.080 0.090 0.1000.000
0.100
0.200
0.300
0.400
0.500
0.600
n curve
interaction curve capacity line working pointM/bh2fcu
N/b
hfc
u
x 29.75 mm
107.65 kN
-0.00038
-17.25 kN
-90.40 kN
16.48 kNm
x 0.00 mm
0.00 kN
90.40 kN
-90.40 kN
14.37 kNm
0.0020
16.48 kNm
Balance Section
122.18 mm
442.05 kN
k 1.00
4.20 m
18.67column type 1.00 slender
0.17
39.20 mm
3.92 kNm
11.25 mm
1.13 kNm
M 23.92 kNm 25
Construct capacity line Table construct capacity line
N 100 kN y 0.536 0.469 0.464 0.458
M 23.92 kNm x 0.000 0.028 0.030 0.032N / M 4.18 m' -2.392 -2.830 -2.830 -2.819
c 0.536 0.548 0.548 0.548
0.049 0.161 0.145 0.145 0.146
0.052 0.151 0.137 0.137 0.137
m 0.94 0.161 0.145 0.145 0.146
length of demand line 0.0721 0.151 0.137 0.137 0.137
length of capacity line 0.0742 0.049 0.040 0.040 0.040
Fc
εs'
Fs'
Fs
M1
Fc
Fs'
Fs
M2
εsu'
Monly
xb
Nbalance
Calculate Madd
lex
lex/h
βa
au
Madd
emin
Me
N/bhfcu
M/bh2fcu
N/bhfcu x1
M/bh2fcu y1
x1
y1
x12+y1
2
0.000 0.010 0.020 0.030 0.040 0.050 0.060 0.070 0.080 0.090 0.1000.000
0.100
0.200
0.300
0.400
0.500
0.600
n curve
interaction curve capacity line working pointM/bh2fcu
N/b
hfc
u
Demand Capacity Ratio 0.972 20.517 25.106 25.106 24.989f 0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000
0.000 0.000 0.000 0.000
For Biaxial BendingN 100.00 kN
24.45 kNm
0.98
1/(x12+y1
2)
N/bhfcu
M/bh2fcu
Mux
(Mx/Mux)
Table for construct capacity curve
202.5 180 157.5 135 112.5 90 67.5 45 22.5 29.75
0.003 0.003 0.003 0.003 0.002 0.002 0.002 0.001 -0.002
0.000 0.000 -0.001 -0.001 -0.002 -0.004 -0.006 -0.011 -0.026
400.00 400.00 400.00 400.00 400.00 400.00 357.78 186.67 -326.67
36.30 -46.67 -153.33 -295.56 -400.00 -400.00 -400.00 -400.00 -400.00182.25 162 141.75 121.5 101.25 81 60.75 40.5 20.25 y
90.4 90.4 90.4 90.4 90.4 90.4 80.9 42.2 -73.8
8.2 -10.5 -34.7 -66.8 -90.4 -90.4 -90.4 -90.4 -90.4
732.6 651.2 569.8 488.4 407.0 325.6 244.2 162.8 81.4831 731 626 512 407 326 235 115 -83 0.00 N
22.2 28.5 33.7 37.8 39.6 37.8 33.7 25.6 9.7 16.48 M
0.410 0.361 0.309 0.253 0.201 0.161 0.116 0.057 -0.041 0.00
0.049 0.063 0.074 0.083 0.087 0.083 0.074 0.056 0.021 0.04
εs
fs'
fs
Fs'
Fs
Fc
N/bhfcu
M/bh2fcu
0.000 0.010 0.020 0.030 0.040 0.050 0.060 0.070 0.080 0.090 0.1000.000
0.100
0.200
0.300
0.400
0.500
0.600
n curve
interaction curve capacity line working pointM/bh2fcu
N/b
hfc
u
Table construct capacity line
0.410 0.361 0.309 0.253 0.201 0.161 0.116 0.057 -0.041 0.000
0.049 0.063 0.074 0.083 0.087 0.083 0.074 0.056 0.021 0.036-3.552 -4.635 -6.213 -13.237 10.526 4.934 3.331 2.792 2.7270.584 0.651 0.768 1.350 -0.713 -0.249 -0.130 -0.100 -0.099
0.130 0.117 0.107 0.095 0.074 0.062 0.054 0.054 0.055
0.122 0.110 0.101 0.090 0.070 0.059 0.051 0.051 0.052
0.130 0.117 0.107 0.095 0.074 0.062 0.054 0.054 0.055
0.122 0.110 0.101 0.090 0.070 0.059 0.051 0.051 0.052
0.032 0.026 0.022 0.017 0.010 0.007 0.006 0.006 0.006
0.000 0.010 0.020 0.030 0.040 0.050 0.060 0.070 0.080 0.090 0.1000.000
0.100
0.200
0.300
0.400
0.500
0.600
n curve
interaction curve capacity line working pointM/bh2fcu
N/b
hfc
u
31.450 38.877 46.039 58.493 95.919 136.744 178.631 181.721 173.928 max0.000 0.000 0.000 0.000 0.000 0.000 0.000 181.721 0.000
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.051 0.000 max
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.054 0.000 max
Goal seek
x 42.70 x
0.0008
-0.0122
158.964
-400.000y 38.426 y
35.926
-90.400
154.474N 100.000 NM 24.453 M
0.049
0.054
εs' εs'
εs εs
fs' fs'
fs fs
Fs' Fs'
Fs Fs
Fc Fc
N/bhfcu N/bhfcu
M/bh2fcu M/bh2fcu
181.721
0.05083
0.05403
N 100 kN
20 kNm
4 mcolumn type 0 unbraced
1.20
1.15
1.50
40
460
200b 225 mmh 225 mm
226
226d 192 mmd' 33 mm
-400
400 333.3
0.0035
-0.0020
Calculate N,M for a x value Table for construct capacity curve
x 122 mm x ∞ 270 247.5
0.0026 0.003072 0.003033
-0.0020 0.001011 0.000785
400 400 400
-400 202.2222 156.9697y 110 mm y 202.5 202.5
90 kN 90.4 90.4
-90 kN 45.70222 35.47515
442 kN 814.05 814.05N 442 kN N 1085.30 950.15 939.93M 40 kNm M 0.00 12.71 13.52
0.535951 0.469211 0.464161
0 0.027899 0.029684Calculate maximum N
1085
1
Calculate M at no axial forces a 3618.00b 67800.00c -5220600.00
My
loy
βy
γm-s
γm-c
fcu N/mm2
fy N/mm2
Es kN/mm2
As mm2
As' mm2
fsu-t N/mm2
fsu-c N/mm2
εcu
εsu
εs' εs'
εs εs
fs' N/mm2 fs'
fs N/mm2 fs
Fs' Fs'
Fs Fs
Fc Fc
N/bhfcu
M/bh2fcu
Nuz
Nmax/bhfcu
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.1
0.2
0.3
0.4
0.5
0.6
column interaction curve
interaction curve capacity line Linear (capacity line)M/bh2fcu
N/b
hfc
u
x 29.75 mm
107.65 kN
0.00
-17.25 kN
-90.40 kN
16.48 kNm
x 0.00 mm
0.00 kN
90.40 kN
-90.40 kN
14.37 kNm
0.00
16.48 kNm
Balance Section
122 mm
442 kN
k 1
4 m
19column type 1 slender
0.174
39 mm
4 kNm
11 mm
1 kNm
M 24 kNm 25
Construct capacity line Table construct capacity line
N 100 kN 0.54 0.47 0.46
M 24 kNm 0.000 0.028 0.030N / M 4 m' -2.392 -2.821 -3.129
c 0.536 0.548 0.557
0.049 0.161 0.146 0.137
0.052 0.151 0.137 0.129
m 1 0.161 0.146 0.137
length of demand line 0.0721 0.151 0.137 0.129
length of capacity line 0.0742 0.049 0.040 0.035
Fc
εs'
Fs'
Fs
M1
Fc
Fs'
Fs
M2
εsu'
Monly
xb
Nbalance
Calculate Madd
lex
lex/h
βa
au
Madd
emin
Me
N/bhfcu
M/bh2fcu
N/bhfcu x1
M/bh2fcu y1
x1
y1
x12+y1
2
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.1
0.2
0.3
0.4
0.5
0.6
column interaction curve
interaction curve capacity line Linear (capacity line)M/bh2fcu
N/b
hfc
u
Demand Capacity Ratio 0.972 20.517 25.008 28.323f 0 0 0
0 0 0
0 0 0
For Biaxial BendingN 100 kN
24.45 kNm
0.978
1/(x12+y1
2)
N/bhfcu
M/bh2fcu
Muy
(My/Muy)
Table for construct capacity curve
225 202.5 180 157.5 135 112.5 90 67.5 45 22.5
0.002987 0.00293 0.002858 0.002767 0.002644 0.002473 0.002217 0.001789 0.000933 -0.001633
0.000513 0.000181 -0.000233 -0.000767 -0.001478 -0.002473 -0.003967 -0.006456 -0.011433 -0.026367
400 400 400 400 400 400 400 357.7778 186.6667 -326.6667
102.6667 36.2963 -46.66667 -153.3333 -295.5556 -400 -400 -400 -400 -400202.5 182.25 162 141.75 121.5 101.25 81 60.75 40.5 20.25
90.4 90.4 90.4 90.4 90.4 90.4 90.4 80.85778 42.18667 -73.82667
23.20267 8.202963 -10.54667 -34.65333 -66.79556 -90.4 -90.4 -90.4 -90.4 -90.4
814.05 732.645 651.24 569.835 488.43 407.025 325.62 244.215 162.81 81.405927.65 831.25 731.09 625.58 512.03 407.03 325.62 234.67 114.60 -82.82
14.50 22.19 28.54 33.66 37.77 39.56 37.82 33.67 25.56 9.65
0.4581 0.410493 0.361034 0.308929 0.252857 0.201 0.1608 0.115888 0.056591 -0.0409
0.031825 0.048713 0.062638 0.073879 0.082904 0.086822 0.083003 0.073901 0.056098 0.021183
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.1
0.2
0.3
0.4
0.5
0.6
column interaction curve
interaction curve capacity line Linear (capacity line)M/bh2fcu
N/b
hfc
u
Table construct capacity line
0.46 0.41 0.36 0.31 0.25 0.20 0.16 0.12 0.06 -0.04
0.032 0.049 0.063 0.074 0.083 0.087 0.083 0.074 0.056 0.021-2.819 -3.552 -4.635 -6.213 -13.237 10.526 4.934 3.331 2.792 2.7270.548 0.584 0.651 0.768 1.350 -0.713 -0.249 -0.130 -0.100 -0.099
0.146 0.130 0.117 0.107 0.095 0.074 0.062 0.054 0.054 0.055
0.137 0.122 0.110 0.101 0.090 0.070 0.059 0.051 0.051 0.052
0.146 0.130 0.117 0.107 0.095 0.074 0.062 0.054 0.054 0.055
0.137 0.122 0.110 0.101 0.090 0.070 0.059 0.051 0.051 0.052
0.040 0.032 0.026 0.022 0.017 0.010 0.007 0.006 0.006 0.01
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10
0.1
0.2
0.3
0.4
0.5
0.6
column interaction curve
interaction curve capacity line Linear (capacity line)M/bh2fcu
N/b
hfc
u
24.989 31.450 38.877 46.039 58.493 95.919 136.744 178.631 181.721 173.9280 0 0 0 0 0 0 0 181.7207 0
0 0 0 0 0 0 0 0 0.050826 0
0 0 0 0 0 0 0 0 0.054034 0
Table for construct capacity curve Goal seek
29.75 x 42.696
0.00079
-0.01224
158.964
-400.000y 38.426
35.926
-90.400
154.4740.00 N N 100.000
16.48 M M 24.453
0 0.049
0.03618 0.054
εs'
εs
fs'
fs
Fs'
Fs
Fc
N/bhfcu N/bhfcu
M/bh2fcu M/bh2fcu
0
0.036
max 181.721
max 0.050826
max 0.054034
