GRADUATION THESIS
PAGE 1
INSTRUCTOR
GRADUATION THESIS
PAGE 2
CHAPTER 5
INSTRUCTOR
DESIGN FRAMES
1.1. DETERMINE OF
FRAME’S INNER
FORCE FROM
FLOOR 1-15:
We have beams arrangement plan floor is shown in Fig 5.1:
Fig 5.1 Beams arrangement plan floor 2-15
1.1.1. Premilinary of columns’s size:
The building has 15 floors and 1 roof floor with reinforcement concrete B25.
So according to “TCVN 198-1997 mục 2.5.4” we change the columns’s size each 4
floors.
In Axis Frame 3 we have:
+ Column C9:
Transmission area from slabs to C9 column :
7.5 8 �7.5 7.8 �
2
SC9 (
) ��
� 59.2875 m
2
� 2
�
Vertical force from beams to C7 column:
GRADUATION THESIS
PAGE 3
INSTRUCTOR
G d n bt b d h d h s L
�7.5 �2 8 7.8 �
1.1�25 �0.3 0.7 0.12 ��
� 73.69 kN
2
�
�
We have size of column C7 at floor 13 - 15:
nt
Ac
k � Si q si G d
i 1
bR b
1.1 �3 � 59.2875 �8.19 73.69 �10 6
141420 mm 2
3
0.9 �14.5 �10
= > we choose the columns’s size of column C7 at floor 13-15 is 400x400 (mm)
With:
nt: amount of floor
k: The coefficient refers to influence of bending moment, reinforcement
ratio, column’s size ;
+ k = 1,1 – middle column
+ k = 1,2 – edge column
+ k = 1,3 – corner column
qsi: Load by slab
Use the same method for other columns we have premilinary of columns’s size is
shown in Table 5.1:
GRADUATION THESIS
Colum
n
PAGE 4
Ac
(mm2)
bc
(mm)
53174
300
hc
(mm
)
300
124073
450
450
194973
550
550
265872
650
650
20848
400
400
80394
400
400
187587
450
450
294779
550
550
401972
650
650
20848
400
400
69620
400
400
162447
450
450
255273
550
550
Base-4
348100
650
650
13-15
74097
300
300
172893
450
450
271690
550
550
370486
650
650
53174
300
300
124073
194973
450
550
450
550
Floor
Si
(m2)
qsi
(kN/m2
)
INSTRUCTOR
Gd
(kN)
K
13-15
C1
9-12
5-8
Base-4
Roof water
tank
13-15
C2
9-12
5-8
Base-4
Roof water
tank
13-15
C3
9-12
5-8
C4
9-12
5-8
15.0
13.12
5
28.12
5
13.12
5
27.19
29.06
9.39
6.91
9.39
6.91
8.19
8.19
37.08
13.95
53.83
13.95
52.63
55.02
1.3
1.3
1.1
1.3
1.1
1.1
Base-4
C5
13-15
9-12
5-8
15.0
9.39
37.08
1.3
GRADUATION THESIS
Colum
n
C6
bc
(mm)
Base-4
265872
650
hc
(mm
)
650
13-15
85411
300
300
197193
450
450
309875
550
550
422557
650
650
20848
400
400
154578
400
400
360683
600
600
566788
750
750
772893
850
850
20848
400
400
149716
400
400
349337
600
600
584959
750
750
Base-4
748580
850
850
13-15
150196
400
400
350459
600
600
550721
750
750
Base-4
750983
850
850
13-15
85411
300
300
197193
450
450
309875
550
550
Base-4
422557
650
650
13-15
84076
300
300
196178
450
450
308280
550
550
420382
149811
650
400
650
400
Floor
9-12
5-8
9-12
5-8
Base-4
Roof water
tank
13-15
C8
9-12
5-8
C9
C10
C11
C12
9-12
5-8
9-12
5-8
9-12
5-8
Base-4
13-15
Si
(m2)
30.6
13.12
5
57.38
13.12
5
55.46
59.29
30.6
29.6
55.5
qsi
(kN/m2
)
INSTRUCTOR
Ac
(mm2)
Base-4
Roof water
tank
13-15
C7
PAGE 5
8.19
6.91
9.39
6.91
9.39
8.775
8.19
9.39
9.39
Gd
(kN)
55.74
13.95
72.49
13.95
71.29
73.69
55.74
54.54
71.29
K
1.2
1.3
1.1
1.3
1.1
1.1
1.2
1.2
1.1
GRADUATION THESIS
Colum
n
PAGE 6
Ac
(mm2)
bc
(mm)
9-12
349559
600
hc
(mm
)
600
5-8
549307
750
750
Base-4
749055
850
850
13-15
128814
400
400
300567
600
600
472320
750
750
Base-4
644073
850
850
13-15
154507
400
400
360517
600
600
566527
750
750
Base-4
772536
850
850
13-15
84076
300
300
196178
450
450
308280
550
550
Base-4
420382
650
650
13-15
49295
300
300
115022
450
450
180749
550
550
Base-4
246477
650
650
13-15
78020
300
300
182046
450
450
286073
550
550
Base-4
390100
650
650
13-15
40802
300
300
95204
450
450
149607
550
550
204010
650
650
Floor
Si
(m2)
qsi
(kN/m2
)
INSTRUCTOR
Gd
(kN)
K
9-12
C13
C14
C15
C16
C19
C20
5-8
9-12
5-8
9-12
5-8
9-12
5-8
9-12
5-8
9-12
5-8
Base-4
53.65
57.35
29.6
14.0
27.12
5
14.0
8.19
9.39
8.19
9.39
9.39
7.36
70.01
72.49
54.54
33.49
53.83
33.49
1.1
1.1
1.2
1.3
1.1
1.3
Table 5.1 Columns’size premilinary
GRADUATION THESIS
PAGE 7
We have arrangement of columns for Frame axis 3 is shown in Fig 5.2:
Fig 5.2 Columns arrangement of Frame axis 3
1.1.2. Staircase load
+ dead load:
Staircase break : gs1 = 1.4 (kN/m2); Slant slab: gs2 = 3.2 (kN/m2)
+ Live load: pDEAD = 3.6 (kN/m2)
INSTRUCTOR
GRADUATION THESIS
PAGE 8
INSTRUCTOR
1.1.3. Load transmission from wall to beam
We have load transmission from wall to beam is difinited by this formulation:
g t n t b h floor h d
We have wall load on beams is shown in Table 5.2:
Wall load (kN/m)
HeigL
Floor
L
(m)
Main beam
Secondary beam
“(300 x 700) mm”
Wall 100
Wall 200
“(200 x 600) mm”
Wall 100
γ =18 kN/m γ =18 kN/m γ =18 kN/m
3
3
t
Basement
1
2-15
2.5
5
3.4
t
8.54
5.34
3
t
7.13
17.03
10.69
8.72
5.54
Table 5.2 Wall load on beams
1.1.4. Roof slab load
We have dead load on roof slab is shown in Table 5.3 :
δ
γ
gtc
(m)
(kN/m3)
(kN/m2)
Ceramic
0.10
20
0.2
1.1
0.22
Plaster
0.40
18
0.72
1.3
0.936
Reinforcement concrete
0.1
25
2.5
1.1
2.75
Water proffing
-
-
0.02
1.3
0.026
Mortar lining
0.15
18
0.27
1.3
0.35
Engineer systems
-
-
0.5
1.2
0.6
Layers
n
gDEAD
(kN/m2)
4.882
Total
Table 5.3 Dead load of roof slab
Live load :
ps np tc 1.3 �0.75 0.95 kN / m 2
GRADUATION THESIS
PAGE 9
INSTRUCTOR
1.1.5. Load on slabs
We have load on slabs is shown in Table 2.7
1.1.6. Load on basement’s slab
Dead load:
We have dead load of basement’s slab is shown in table 5.4:
Layers
Ceramic
Mortar
Water proofing
Total
δ
γ
gtc
(m)
0.10
0.30
-
(kN/m3)
20
18
-
(kN/m2)
0.2
0.54
0.02
n
1.1
1.3
1.3
gDEAD
(kN/m2)
0.22
0.702
0.026
0.948
Table 5.4 Dead load
Live load:
We have live load on basement’s slab is shown in table 5.5:
ptc
Performances
n
(kN/m2)
Gara
5
1.2
Technical room
3
1.2
Toilet
1.5
1.3
Table 5.5 Live load
ps
(kN/m2)
6
3.6
1.95
1.1.7. Calculation charts using “Etab”
We have:
L 30.5
1.36 �2
B 22.3
( L,B – long,short size of the bulding)
= > Use 3D frame with the fixed supports between column’s foots and foundations
By using “ Etab” we have calculation charts of loads on building is shown from Fig
5.3 to Fig 5.17
GRADUATION THESIS
PAGE 10
Fig 5.3 Model of building
INSTRUCTOR
GRADUATION THESIS
PAGE 11
INSTRUCTOR
2.34
2.34
2.34
2.34
2.34
2.34
2.34
2.34
2.34
2.34
2.34
2.34
Fig 5.4 Dead load by slabs on floors
GRADUATION THESIS
PAGE 12
Fig 5.5 Dead load by wall on floors
Fig 5.6 Dead load on staircase slabs
INSTRUCTOR
GRADUATION THESIS
PAGE 13
Fig 5.7 Live load 1 on odd floors
INSTRUCTOR
GRADUATION THESIS
PAGE 14
Fig 5.8 Live load 2 on even floors
INSTRUCTOR
GRADUATION THESIS
PAGE 15
Fig 5.9 Live load 3 on floors
INSTRUCTOR
GRADUATION THESIS
PAGE 16
Fig 5.10 Live load 4 on floors
INSTRUCTOR
GRADUATION THESIS
PAGE 17
Fig 5.11 Live load 5 on floors
INSTRUCTOR
GRADUATION THESIS
PAGE 18
Fig 5.12 Live load 6 on floors
INSTRUCTOR
GRADUATION THESIS
PAGE 19
Fig 5.13 Live load 7 on floors
INSTRUCTOR
GRADUATION THESIS
PAGE 20
Fig 5.14 Live load 8 on floors
Fig 5.15 Live load 9 on floors
INSTRUCTOR
GRADUATION THESIS
PAGE 21
Fig 5.16 Live load 10 on floors
INSTRUCTOR
GRADUATION THESIS
PAGE 22
INSTRUCTOR
Fig 5.17 Live load 11 on floors
1.1.8. Static wind load :
“With the heigLL is high from 2.5m to 60.5m , the building is located in Hồ Chí
Minh so we have it is in II.A region, togographic type C.
Wtt n �W0 �k �C kN / m 2
With :
n = 1.2 : coefficent of wind load W0 : Standard wind force
k: coefficent about the changing of wind pressure depend on heigLL
and togographic according to “Table 5 TCVN 2737 – 1995”
c: aerodynamic coefficient . IIA region, togographic type C =>
W0 = 0.83 (kN/m2)
c = +0.8 for pushed wind and c = -0.6 for absorb wind
C = 0.8 + 0.6 = 1.4
Centre point load of the building :
H Ht
W W tt �Bct � d
kN
2
Bct (Bx = 30.5 m ,By = 22.3 m): Width sides are effected by wind load of the
building
Hd, LL : HigLL sides are effected by wind load of the building
Use the same method for other floor heigLLs, we have static wind load is shown in
Table 5.5:
Floor
Roof
water
tank
Roof
15
14
13
12
11
10
9
8
Floor
heigL
L (m)
HeigL
L (m)
K
Bx
(m)
By
(m)
Wx (kN)
Wy (kN)
2
58.5
1.07
7
7.5
11.19
10.44
3.4
3.4
3.4
3.4
3.4
3.4
3.4
3.4
3.4
55.1
51.7
48.3
44.9
41.5
38.1
34.7
31.3
27.9
1.04
1.01
0.98
0.96
0.93
0.90
0.87
0.85
0.82
30.5
30.5
30.5
30.5
30.5
30.5
30.5
30.5
30.5
22.3
22.3
22.3
22.3
22.3
22.3
22.3
22.3
22.3
109.95
106.78
103.61
101.49
98.32
95.15
91.98
89.86
86.69
150.38
146.05
141.71
138.82
134.48
130.14
125.80
122.91
118.57
GRADUATION THESIS
PAGE 23
INSTRUCTOR
Floor
Floor
heigL
L (m)
HeigL
L (m)
K
Bx
(m)
By
(m)
Wx (kN)
Wy (kN)
7
6
5
4
3
2
1
3.4
3.4
3.4
3.4
3.4
3.4
5
24.5
21.1
17.7
14.3
10.9
7.5
2.5
0.79
0.76
0.74
0.71
0.68
0.65
0.47
30.5
30.5
30.5
30.5
30.5
30.5
30.5
22.3
22.3
22.3
22.3
22.3
22.3
22.3
83.52
80.35
78.24
75.06
71.89
68.72
61.38
114.23
109.90
107.00
102.67
98.33
93.99
83.95
Table 5.6 – Static wind load (kN)
1.1.9. Oscillation calculation
We have 12 modes from the “ Etab” and we also have formulation of f:
1
f
Hz
T
+ Mode 1: oscillate from X direction
+ Mode 2: oscillate from Y direction
+ Mode 3: with RZ = 61 % = > Twisted oscillation
We have 12 modes is shown Table 5.7
SumU SumU SumR
T
F
UX
UY
RZ
X
Y
Z
Mode
(s)
(Hz)
%
%
%
%
%
%
1
2.21
0.453 0.890 66.87 30.000 0.890 66.870 0.000
64.88
2
2.16
0.462
1.410 0.580 65.770 68.290 0.000
0
3
1.66
0.603
4.260
0.900
0.210
70.030 69.190
0.000
4
0.72
1.383
0.000
11.56
28.000 70.030 80.760
0.000
5
0.71
1.410
10.73
0
0.004
0.004
80.760 80.760
0.000
6
0.52
1.927
0.450
0.110
0.290
81.210 80.870
0.000
7
0.38
2.646
0.020
4.150
6.040
81.230 85.020
0.000
8
0.37
2.688
3.980
0.010
0.010
85.210 85.030
0.000
9
0.26
3.876
0.050
0.050
0.080
85.260 85.080
0.000
GRADUATION THESIS
PAGE 24
INSTRUCTOR
10
0.23
4.274
0.010
2.210
4.860
85.270 87.290
0.000
11
0.23
4.310
2.190
0.010
0.010
87.460 87.300
0.000
12
0.17
5.917
0.010
0.630
1.160
87.460 87.920
0.000
Table 5.7 – Period and oscillation frequency of building
And also we have weigLL of floors is shown in Table 5.8
Story
Mass X
(ton)
Mass Y
(ton)
XCM
(m)
YCM
(m)
XCCM
(m)
WATER TANK
ROOF
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
56.47
683.78
849.61
818.27
821.80
826.99
826.99
830.13
833.77
834.18
843.63
854.93
862.83
863.70
875.05
894.01
924.49
56.47
683.78
849.61
818.27
821.80
826.99
826.99
830.13
833.71
834.18
843.63
854.93
862.83
863.70
875.05
894.01
924.49
11.87
17.74
15.46
15.46
15.45
15.44
15.44
15.44
15.43
15.44
15.42
15.40
15.47
15.37
15.36
15.35
15.32
3.50
9.59
11.12
11.12
11.11
11.11
11.11
11.11
11.11
11.11
11.12
11.13
11.04
11.13
11.13
11.13
11.14
11.87
17.98
16.31
16.03
15.88
15.79
15.73
15.69
15.66
15.63
15.61
15.59
15.58
15.56
15.55
15.53
15.52
YCC
M
(m)
3.50
9.13
10.19
10.51
10.66
10.75
10.81
10.86
10.89
10.91
10.93
10.95
10.96
10.97
10.99
11.03
11.99
Table 5.8 – Weight of floors extract from “Etab”
1.1.10. Calculation of unstatic wind loads
According to “Table 2 TCXD 299 – 1999”, we have the building in IIA region’s
type wind and has specific oscillation frequency fL = 1.3
The oscillations need to calculate are f1 = 0.442 < f2 = 0.453 < f3 = 0.584 < fL = 1.3
< f4 = 1.34 (Hz)
The calculation values of unstatic wind from jth floor and ith mode is taken
acorrdingto “formulation (4.3) TCXD 299 – 1999”:
Wp ji M ji i y ji
With:
GRADUATION THESIS
PAGE 25
INSTRUCTOR
Mj: WeigLL of floor j
i : kinetic coefficient corresponding i, according to “TCXD 299 – 1999,
i
W0
940 �f i
Table 2” then 0.3 và and
With:
yji : Horizontal displacement of the center of jth part with the oscillation ith.
We have i is definited by this formulation:
n
i
�y
ji
.WFj
�y
2
ji
.M j
j1
n
j1
We have WFj is definited by this formulation:
WFj Wj iS j
With:
Wj
- Static load of wind.
i - kinetic coefficient corresponding i , according to “TCXD 299 – 1999,
th
Fig 3” Error: Reference source not found.
Si – Wind surface section ith .
- Correlation coefficient of unstatic wind load’space ,depent on , and
oscillation types according to “Table 4 TCXD 229:1999”.
Size of X direction , Lx (m): 30.5
Size of Y direction , Ly (m): 22.3
HeigLL of building compare with ground H (m): 60.5
We have the Parameter for calculation of unstatic wind loads is show in Table 5.9
Parameter
- Wind pressure
sym
bol
Wo
Value
Unit
Quote from
0.83
kN/m2
Table 4 (TCVN
2737:1995)