Construction introduction
In response to the country's ongoing integration, industrialization, and modernization, there is a growing need to replace low-rise buildings in degraded residential areas with high-rise constructions This trend reflects the development of contemporary living standards, leading to the establishment of the Grand Mercure apartment building.
Situated in the Bac Ha District, this project boasts a stunning and open location that enhances the overall residential planning with a blend of harmony, rationality, and modernity.
Urban infrastructure
- The work is located on the main road, convenient for the supply of materials and traffic outside the building
- The electricity and water supply system in the region has been completed, meeting the requirements for construction
The construction site is flat and free from any existing structures or underground works, making it highly suitable for the overall project layout and construction activities.
Architectural solution
Functional plan and subdivition
- The work plan is rectangular with gouges, length 53.4m, width 36m, and construction land area is 1922.4m 2
The building features 20 floors, including a semi-basement, with a height of 73.1 meters from the 0.00m level to the roof The 0.00m level is aligned with the natural ground level, which is 1.50 meters lower than the ground floor The basement is situated at -1.50m.
The basement features a centrally located elevator surrounded by parking spaces, while technical systems, including domestic water storage tanks, pumping stations, and wastewater treatment facilities, are strategically arranged to reduce pipeline length Additionally, the design incorporates essential components such as high voltage and low voltage stations, along with a dedicated fan room for optimal functionality.
- Ground floor: used as a supermarket to serve the needs of buying and selling, entertainment services for households as well as the general needs of the area
- Floor 2 - 17: arrange apartments to serve the needs of living
- Rooftop: layout of technical rooms, machines, air-conditioners, satellite equipment,
A straightforward ground solution that maximizes space for apartment arrangements involves using lightweight materials for partitions, allowing for flexible organization that aligns with current trends and preferences, and can be easily adapted in the future.
Appearance
The design features a striking shape that ascends directly from the traditional architecture below, embodying a modern yet powerful aesthetic This harmonious blend of strength and softness highlights the project's scale and significance, aligning with the country's overarching development strategy.
Front elevation
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 2
- Using and fully exploiting the modern features with large glass doors, outer walls are completed with water paint.
Transport system
- Horizontal traffic in each unit is a corridor system
The vertical transport system in the building includes a staircase and elevators, designed for efficiency and convenience The staircase features a main commuter ladder and an emergency exit, while the elevator system comprises two main lifts and one larger medical and service lift Centrally located, the elevators are surrounded by apartments arranged around a corridor, minimizing travel distances and ensuring a well-ventilated environment.
Technical solution
Power system
- The system receives electricity from the general electrical system of the town into the house through the electric machine room
- From here, electricity will be transmitted around the building through the internal grid
- In addition, when there is a power failure you can immediately use a backup generator located in the basement to generate.
Water supply and sewerage system
Water is sourced from the regional supply system and stored in a basement water tank An automatic pumping system then distributes the water to each room via the main plumbing network located near the service area.
- After being treated, the wastewater is fed into the area's general drainage system.
Fire prevention, emergency exit
- Reinforced concrete (reinforced concrete) works with hollow brick walls that are both sound and heat insulation
- Fireproof boxes are arranged along the corridor with CO2 cylinders
- All floors have two stairs to ensure escape when there is a fire incident
- In addition, there is a large fire protection lake on the top of the roof
Lighting protection
- Option for the Dynasphire ball active air-termination system set up in the rooftop and the copper grounding system is designed to minimize the risk of lightning strikes.
Garbage drainage system
Each floor's garbage is collected and disposed of in a discreet garbage chute located in the basement, which includes a dedicated waste removal section These garbage chutes are designed with care to prevent odors and minimize environmental pollution.
Climate characteristics of the construction area
Lao Cai features a tropical monsoon climate, yet its inland location and complex terrain lead to variable weather conditions that differ across time and space Notably, temperature fluctuations can be sudden, with Sa Pa experiencing extreme drops below 0°C, occasionally resulting in snowfall.
- Lao Cai climate is divided into two seasons: the rainy season starts from April to
October, the dry season starts from October to March next year The average temperature is located in the highlands from 150C - 200C (particularly in Sa Pa from
STUDENT: HUYNH GIA HUY ID: 17149016 3
140C - 160C and in no month it goes over 200C), the average rainfall is from 1,800mm
-> 2,000mm Average temperature is located in the low area from 230C - 290C, the average rainfall is from 1,400mm - 1,700mm
Mist is prevalent across the province, often reaching significant thickness During severe cold spells, frosts can occur in the high mountains and sheltered valleys, typically lasting for 2 to 3 days.
Design solutions
Construction method
- Slab method, Solid slab is concrete slab and beam combined
- Frame method, cast in place reinforced concrete wall
Material for use
- Concrete used in the building is concrete with durability classes B25 and B20 with the following calculated parameters:
Software for use in analyzing and calculate
- Modeling of frame and slab of building: ETABS, SAFE, SAP
- Calculate reinforcement and foundation: Excel
Structural solution
Choose preliminary section of slab
- Choose floor thickness depending on span and applied load
- The slab thickness is determined by the empirical formula:
- Whereas: m = (40 ÷ 45) for four-sided manifest, Li = 8m short side length of typical floor
Choose preliminary section of beam
Table 1.1: Preliminary section of beam
Type of beam Height h Width b
- Select the span of the main beam to calculate: L = 8000mm
Choose preliminary section of column
- Preliminary selection of column sizes is based on experience or approximate formula
- Determine the vertical transmission area
- Preliminary total floor load, choose q = 1400 daN/m2
- Count the number of floors on the section under consideration m
- Considering the impact of the horizontal load, the coefficient k, which varies depending on the column position c b
STUDENT: HUYNH GIA HUY ID: 17149016 5
- The column computation and section reselection will be performed again a again until the bearing capacity and architectural requirements are satisfied
qi: distributed load on slab (live load + dead load)
Si: is the transmission area of the floor to the column
qi (10÷15 daN/m 2 ) Choose qi = 14 daN/m 2
Table 1.2: Preliminary section of central column
Story Atr.tải Q Number of floors
N A tt b h Ac choose m 2 daN/m 2 m daN cm 2 cm cm cm 2
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 6
Table 1.3: Preliminary section of edge column
Choose preliminary section of core wall
- According to Article 3.4.1 of TCVN 198-1995, the thickness of the hard wall is not less than 150mm and not less than 1/20 of the floor height
Story Atr.tải Q Number of floors
N A tt b h Ac choose m 2 daN/m 2 m daN cm 2 cm cm cm 2
STUDENT: HUYNH GIA HUY ID: 17149016 7
DESIGN OF STAIRCASE
Geometry of staircase and calculation free-body diagram
- Choose the staircase at axis D-E to calculate:
Table 2.1: General geometry of staircase
Height of one flight v 2 h ht
Number of rises on each flight n
- Length of flight stair (Along with diagonal axis): LL 1 L 2 3.62.4= 6 (m)
- Thickness of riser: Consider the plate of stair working on one-way,
- Choose the thickness of staircase slab: 180 mm
Figure 2.1: Layout of stair case
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 8 h 500 b= (166.6
- Illustrate the incline angle of stair Tan 1900 27 49 ' 0.891
Loading on staircase
Table 2.2: Structure component of the landing flight
- According to TCVN 2737:1995, Table 3, we have: p =3 kN/m tc 2
- Loading factor 1.2 for the standard loading bigger than 2 kN/m 2
STUDENT: HUYNH GIA HUY ID: 17149016 9
Thickness of granite layer Thickness of plaster Thickness of brick layer b td h cos 2
Table 2.3: Equivalent thickness of each structure layer
Total gravity uniform load combined riser: 0.27 kN/m 7.792
Table 2.4: Dead load on staircase slab
- Live load included of 2 main elements:
- Distributed load on 1m long along with diagonal slab:
- p tcn p 1 cos tc m 3 1 0.8912.7 kN/m ttn tt m p p 1 cos 3.6 1 0.891 3.24 kN/m
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 10
Serial Structure Dead load g tt kN/m
Total load tt tt tt q g p kN/m
Analyze the modeling with ETAB
- The ladder works as a bending member
Each individual must develop their own calculation scheme, which serves as the foundation for constructing the structure The complexity of determining whether the connection between the ladder and the beam or the ladder and the wall is a joint (fixed or roller) or a mount relies heavily on the designer's conceptual approach.
- Calculation of staircase as same as the bending element
2,81 3 160 d s h h the connection between slab and beam is pinned connection
- Connection at the supports of staircase not the fixed, not the spin only the middle of two these kinds so
- We modeling used pinned and roller connection so we distributed moment shown below:
Figure 2.4: Dead load Figure 2.5: Live load
STUDENT: HUYNH GIA HUY ID: 17149016 11 span max
Calculate reinforcement
2.4.1 Calculate reinforcement for landing and flight
Figure 2.6: Moment diagram Figure 2.7: Shear diagram
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 12 b b o m 2 m s m R R b b o s ξγ R bh α = M , ξ = 1- 1-2α , A = , , γ R bh R
- Moment in span: Mnh = 24.49 kNm
- Checking reinforcement content: min max
- The result of calculation was shown in table below:
As mm 2 μ % Choose Asbt mm 2
Table 2.6: Calculation reinforcement of flight
2.4.2 Calculate reinforcement for the beam of the landing and flight
- Note: For the landing beam is under reaction of flight so distributed load apply on main beam are reaction of flight and also the self-weight of beam
- Choose preprimary section of beam b h 200 400 mm
Figure 2.9: Free body diagram of beam D1
- Weigh of wall build on beam:
STUDENT: HUYNH GIA HUY ID: 17149016 13
- Loading the ladder plate transmitted to the ladder beam in the form of the support reaction in each 1 wide meter strip, will be reduced to a uniform distribution:
+ Maximum shearing force of beam D1: max 24.29 5.4
Figure 2.11: Shear force diagram of beam D1
Reinforcement grade CB-400V → Rs = 350 Mpa
Figure 2.10: Moment diagram of beam D1
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 14
→ Choose 418 have As ch 18cm 2
As cm 2 μ % Choose Asbt cm 2
Table 2.7: Calculation reinforcement of beam D1
- The shear capacity of concrete:
- So must be calculate stirrup for beam
- Coefficient w 1 consider the effect of stirrup to axis
- The beam is not damaged by primary compressive stress
- Shear resistance of the belt: w 175 2 28.3
- Shear resistance of the belt and concrete:
- There is no need to calculate the shear reinforcement
- So the layout of the reinforcement ỉ6a100 for the L/4, ỉ6a200 in middle with L/2
Eb, Es yuong modulus of reinforcement and concrete; asw area of section reinforcement
Rb, Rbt Axial compressive stress of concrete; Rsw tension stress of reinforcement
Φf is the coefficient of effect on the compression wing in the cross-section T; span of stirrup;
φn coefficient affected by axial force; φb3 = 0.6 with heavy concrete; φb2 = 2 with heavy concrete
STUDENT: HUYNH GIA HUY ID: 17149016 15
DESIGN OF ROOF WATER TANK
Architecture require
- The roof water tank provides water for the daily needs of the building
- Roof water tank consists of 1 tank placed on the floor column system, at the position limited by the axis C'-B' and 3'-5'
The preliminary calculation of water demand for the apartment building, which consists of 17 floors with residential apartments starting from the second floor, indicates that there are 8 apartments on each floor With an average of 4 occupants per apartment, the total number of residents significantly contributes to the overall water demand.
- Average water consumption: q sh 150 1/person.day.night
3 max day night sh day /1000 150 544 1.35 / 1000 110.16 m /
- The size of the water tank: V LBH 6 11 2 132 m /day.night 3
The water tank is fully constructed from concrete and features a secure lid Access to the tank is provided through a 600x600 mm inspection hole located at the corner An automatic pumping system efficiently pumps water from the tank twice daily.
Data of calculation
- Water tanks are divided into three types:
→ With geometry of water tank a = 10 m; b = 6 m; h = 2 m Low water tank
To accommodate the large span of a roof water tank exceeding 7 meters, it is essential to utilize a girder system for both the cover plate and bottom plate This approach effectively minimizes the thickness and deflection of the structure, ensuring enhanced stability and performance.
To effectively design the cover slab, treat it as a floor plan by dividing it into three tiles measuring 2x6 meters and 6x6 meters For the initial selection of the tank cover thickness, utilize the specified formula to ensure structural integrity.
- In which l1 is length of shorter side, l1 = 5.4 m, l2 is length of longer side l2 = 6 m bn h 1 (5400 6000) (110 137) mm
→ Choose thickness of cover slab h bn = 120 mm
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 16
- Preliminary selection of the wall thickness of the tank wall according to the following formula: bt bt min
→ Choose thickness of water tank wall h bt = 150mm
- Preliminary selection of thickness of bottom slab
The bottom plate must support the weight of the concrete and withstand a significant water pressure of 20 kN/m² at a depth of 2 meters To ensure durability and prevent cracking, as well as to provide waterproofing, an appropriate thickness for the bottom plate is crucial.
→ Choose thickness of bottom slab h bd = 150 mm
Concrete B25 : Rb = 14.5 MPa, Rbt = 1.05 MPa, Eb = 30x10 3 MPa
Steel CB400-V : Rs = Rsc = 350 MPa; Rsw = 210 MPa; Es = 20x10 4 MPa
Steel CB240-T : Rs = Rsc = 240 MPa; Rsw = 170 MPa; Es = 21x10 4 MPa.
Calculation of cover slab
- The cover panel with the tank wall and has the following dimensions:
Figure 3.1: Loading transfer to cover slab
STUDENT: HUYNH GIA HUY ID: 17149016 17
- Including the self-weight of the structural layers
Table 3.1: Static loading of the slab
- The tank cover only has repair activities, no live load, we take the distributed live load as 0.75 kN/m 2 (TCVN 2737-1995)
- Effective fixed live load:p1.3 0.75 0.975 kN/m 2
1.1 2 l 5.4 The cover plate works in 2 directions
- Preliminary dimension of top cover panel beam: Dbn : 200 400 mm
- Consider hd/hb >3 the connection between slab and beam is fixed connection calculation of the cover plate in the form of a 4-sided mounting list (diagram 9)
Figure 3.2: Free-body diagram internal forces
- Maximum positive moment between span:
- Maximum negative moment between support:
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 18
- In which: αi1, αi2, β i1, β i2: are the coefficients looking up the table according to the diagram 9 and the ratio L2/L1
- P is total pressure on slab: PqL L1 2 gp L L 1 2
Table 3.2: Internal forces of cover panel
- Reinforced the checking hole 600 x 600 by 4ỉ12 b s b o s
m Choose As As choose choose
Calculation of wall plate
- The pressure chart has the shape of a triangle that increases with depth
- In the bottom of water tank (z = 2m): p n n h n p 10 2 1.1 22 kN/m 2
STUDENT: HUYNH GIA HUY ID: 17149016 19
- Construction site placed in wind zone IA, so wind pressure: W o 0.55 kN/m 2
- Level of the top water tank: z = 73.1 m
- Wind pressure constant throughout the height of the tank wall
- Inflow wind load: W h nW kc 0 1.2 0.55 1.549 0.6 0.613 kN/m 2
- Outflow wind load: W d nW kc 0 1.2 0.55 1.549 0.8 0.817 kN/m 2
Table 3.4: Static loading of the wall plate
- Static loading of the slab with strip 1 m: N bt glb5.06 1.8 1 9.11 kN
- The wall is a structure subjected to compression and bending Compression force includes only the wall TLBT For simplicity in calculation, the wall is calculated as pure flexural member
- Wall slab with length 10 m work on 1 direction
- Wall slab with length 6 m work on 1 direction
- The connection between the wall plate and the cap beam is joint connection
- The connection between the wall and the bottom beam is the fixed connection
Since the sides are roughly the same size, just calculate for the 10 m side slab and the same layout for the 6 m side slab
- Load combination: Full filled water tank + Inflow wind load
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 20
- Internal forces be calculated by formula according to table 6 [KCBTCT tập 3 Võ Bá
Tầm] linear calculation result was solved by super position method
- Maximum positive moment between span:
2.77 kNm 33.6 128 33.6 128 n nhip nhip gio nhip nuoc p h Wh
- Maximum negative moment between support:
15 8 15 8 n goi goi gio goi nuoc p h Wh
STUDENT: HUYNH GIA HUY ID: 17149016 21
tt % sc % (kNm) mm mm mm (mm 2 ) a (mm 2 )
Table 3.5: Reinforcement result of cover slab
Calculation of bottom slab
- The bottom slab is completely concreted with bottom beams, using the beam system
Figure 3.5: Bottom slab of water tank
Table 3.4: Static loading of the slab
- Full filled water loading (h=2 m): p n n h 1.1 10 2 22 kN/m 2
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 22
1.2 2 l 5 bottom slab work on 2 directions
Figure 3.6: FBD of bottom slab
Maximum positive moment between span:
Maximum negative moment between support:
- In which: mi1, mi2, k i1, k i2 are the coefficients looking up the table according to the diagram 9 and the ratio L2/L1
- P is total pressure on slab:PqL L1 2 gp L L 1 2
Table 3.6: Internal forces of bottom panel
STUDENT: HUYNH GIA HUY ID: 17149016 23
% kNm mm mm mm 2 a mm 2
Table 3.7: Reinforcement result of bottom slab
Calculation of water tank beam system
Loading of top cover beam:
Figure 3.7: Load transferring diagram of top cover
- Choose dimension of top cover beam is:
- Self-weight of the beam
- Loading on top cover beam
- DN2, DN3: Trapezoidal distributed load; DN1: Triangle distributed load
- Inflow wind load: W h nW kcB 0 x 1.2 0.55 1.546 0.6 6 3.67 kN/m
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 24
- Outflow wind load: W d nW kcB 0 x 1.2 0.55 1.546 0.8 6 4.89 kN/m
- Inflow wind load: W h nW kcB 0 y 1.2 0.55 1.546 0.6 11 6.73 kN/m
- Outflow wind load: W d nW kcB 0 y 1.2 0.55 1.546 0.8 11 8.97 kN/m
DL LL IWL OWL kN/m kN/m
Table 3.8: Total loading on top cover beam system
Loading of bottom slab beam:
- DD2, DD3: Trapezoidal distributed load; DD1: Triangle distributed load
STUDENT: HUYNH GIA HUY ID: 17149016 25
Self-weight of wall slab:g t g bt h 5.06 2 10.12 kN/m
Table 3.9: Static loading of the wall plate
Shape DL LL IWL OWL kN/m
Table 3.10: Total loading on bottom cover beam system
- In fact, these beam systems work at the same time, so students solve the problem of spatial working beam systems by modeling the frame system with Etabs 9.7.1 software
Figure 3.9: Modeling of water tank
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 26
STUDENT: HUYNH GIA HUY ID: 17149016 27
Figure 3.13: Moment DN1 and DD1
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 28
Figure 3.14: Moment DN2 and DD2
Figure 3.15: Moment DN3 and DD3
Figure 3.16: Shear force DN1 and DD1
STUDENT: HUYNH GIA HUY ID: 17149016 29
Figure 3.17: Shear force DN2 and DD2
Figure 3.18: Shear force DN3 and DD3
- Calculated of main reinforcement and stirrups all according to TCVN 5574:2018
- Verify shear resistance of concrete:Q b3 (1 n )R bh bt o arrange constructive of design
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 30
- Determine constructive span of stirrup:
In span ẳ L: h450,s ct min (h / 2;150); h450,s ct min(h / 3;300)
In span ẵ L: h300,s ct min(3h / 4;500);h 200 no needed to calculate
Choose designed span of stirrup umin(s ,s ,s ct tt max )
- Verify axial stress condition:Q0.3 w1 b1 R bh b o
Table 3.11: Reinforcement result of beam roof water tank
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 32
Axial stress condition (kN) (mm)
Stt (mm) Smax (mm) Sct (mm) Schọn (mm) 1/4L 1/2L
STUDENT: HUYNH GIA HUY ID: 17149016 33
Check deflection and deformation of bottom slab
- The deflection of the four-sided clamp panel is calculated according to the following formula:
: Coefficient based on ratio of 2
L [Table appendix 17, Kết cấu bê tông cốt thép tập 3,
q c : standard load evenly distributed on the bottom plate,q tc 20.54 kN/m 2
D: Cylindrical stiffness , determined by the formula
- So the deflection of the bottom plate:
- Because of slab with L 40 m so there are two types of wind-load must be considering to building which are static wind-load and dynamic wind-load
- Wind load consist of two elements
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 38
- Static wind-load be calculated according to TCVN 2737:1995
- Static wind pressure calculated at altitude z is calculated by the formula: j o j J j
The wind pressure value (W o) for construction in Lao Cai province is determined based on the zoning map in appendix D and section 6.4 of TCVN 2737: 1995 In the IA area, the impact of storm winds is evaluated to be weak, with a calculated wind pressure of W o = 0.55 kN/m².
k z : is the coefficient considering the change of wind pressure according to altitude, taken according to Table 5, TCVN 2737: 1995
c: wind pressure coefficient, inflow coefficient c 0.8, outflow coefficient c 0.6
The reliability coefficient of the wind load is 1.2
The wind-receiving area for each floor is determined by converting the static wind load into a concentrated force at the respective floor elevations, positioned at the rigid center of each floor This involves calculating the standard wind forces, denoted as Wtcx for the X direction and Wtcy for the Y direction.
Figure 4.2: Diagram of calculation of wind load impact on the project
hj, hj-1, B is height of stories respectively j, j-1, and inflow width
Height Floor Height of floor
Z (m) …F H(m) kj (kG/m²) (kG/m²) (m) (kG/m²) GTX j
STUDENT: HUYNH GIA HUY ID: 17149016 39
Height Floor Height of floor
Static wind load wind load X- directio n wind load Y- directio n
Determine the oscillation frequency of model:
Figure 4.3: Result of frequency of model
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 40
Case Mode Period Frequency Comment sec Hz
→ Because this frame is reinforcement =0.3; construction in wind area I-A Look up table 2 (TCVN 229:1999) Limit value of oscillation frequency fL = 1.1
→ Construction calculated with 4 modes (mode 2, 6 for X-direction; mode 1, 4 for Y- direction)
- The height of building greater than 40m following to TCXD 229-1999, considering the effect of dynamic wind load, following to instruction the step for calculation as follow:
- “Note 10 at page 10: When the building is reinforcement concrete and brick stone, also steel building have the enclosure structure”
The dynamic component of wind load focuses solely on the impact of wind speed impulses The calculated dynamic wind pressure, denoted as Wpj, acting on the j section of the structure is determined using a specific formula.
Wpj : pressure, the calculation unit is daN/m 2 or kN/m 2 depending on the calculation unit of Wj
The calculation unit for wind pressure acting on the j part of the building is expressed in daN/m² or kN/m², as specified by Article 4.10 of TCXD 229-1999, which outlines the standard values for the static component of wind pressure.
The coefficient of dynamic pressure of wind load, denoted as j, is dimensionless and corresponds to a specific height of the building Values for j are derived from TCVN 2737: 1995 and are provided in Table 3 of TCXD 229-1999.
STUDENT: HUYNH GIA HUY ID: 17149016 41
different types of building fluctuations, dimensionless In the formula, is obtained by
When the wind-receiving surface of a building is oriented rectangularly and aligned with the fundamental axes, the values for wind pressure are derived from Table 4 of TCXD 229-1999 Parameters ρ and γ should be determined as outlined in Table 5, with the values for the second and third vibrations set at ν2 = ν3 = 1.
Table 5 are taken according to TCVN 2737-1995
- The dynamic composition of the wind load must include the effect of the wind velocity impulse and the inertial force of the building
- When the fundamental natural frequency s, satisfies the inequality f s f L f s 1 , it is necessary to calculate the dynamic composition of the wind load with s first form of oscillation: pji j i i ji
Wpj: Force, calculation unit is daN or kN depending on the calculation unit of WFj in the coefficient formula i
Mj: concentrating mass of part of the building jth; (t)
i :dynamic coefficient corresponding to the ith oscillation, dimensionless depending on the parameters i and logarithmiC REIduction of the oscillation i o i 940f
γ =1.2 Safety factor of wind load
Table 4.3: Limited value of frequency f l
- Specific vibration frequency of the building:
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 42
- Calculating dynamic wind load with X direction on mode 2 and mode 6
- Calculating dynamic wind load with Y direction on mode 1 and mode 4
- ψ coefficient determine by formula: n ji Fj j=1 i n
WFj represents the standard value of the dynamic wind load component acting on the jth part of a building This value corresponds to various types of oscillations while considering the impact of wind velocity pulses It is measured in force units and is determined using a specific formula.
ξ j : is the dynamic pressure coefficient of the wind load, at the height z corresponding to the jth part of the building,
υ: spatial correlation coefficient of dynamic pressure of wind load corresponding to other types of vibration of the building, determined according to table 4 TCXD 229: 1999
S j : windward area of part j of the building, m 2 ; S =D ×Η j j j
- Dynamic component of wind loading due to pulse:
Standard load acting on the i.th floor:W =W S pj pj j
STUDENT: HUYNH GIA HUY ID: 17149016 43
- Wind pressure on ZOY with X direction
- Wind pressure on ZOX with Y direction
Height Floor Mass of floor
36.9 Story10 1961.979 -4.629 4.398 0.277 3.8 130.402 3.079 40.7 Story11 1961.979 -5.157 4.956 0.275 3.8 132.186 3.099 44.5 Story12 1933.014 -5.654 5.493 0.273 3.8 133.831 3.118 48.3 Story13 1906.183 -6.115 6.004 0.271 3.8 135.360 3.136 52.1 Story14 1906.183 -6.533 6.482 0.270 3.8 136.788 3.152 55.9 Story15 1834.400 -6.908 6.927 0.269 3.8 138.129 3.168
Table 4.4: Wind load result of mode 1
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 44
Height Floor Mass of floor
55.9 Story15 1834.400 -1.608 -0.985 0.269 3.8 138.129 5.076 59.7 Story16 1769.018 -3.572 -3.035 0.267 3.8 139.394 5.099 63.5 Story17 1769.018 -5.42 -5.066 0.266 3.8 140.592 5.120 67.3 Terrace 1769.018 -7.092 -7.013 0.265 3.8 141.729 5.141 71.1 Roofing 1700.930 -8.557 -8.823 0.264 2.9 142.812 3.938
Table 4.5: Wind load result of mode 2
STUDENT: HUYNH GIA HUY ID: 17149016 45
Table 4.6: Calculation result for determine wind load
Determine the dynamic component of the wind load:
- The calculated value of the dynamic component of the wind load is determined by the following formula: tt j i ji
Value of wind load dynamic component in X-
Value of wind load dynamic component in Y-Direction
Z(m) …F Mj (T) (kN) (kN) (kN) (kN)
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 46
Table 4.7: Dynamic component of windload
Combination of static wind loaf and dynamic wind load:
- Internal force combination, displacement cause static and dynamic wind load
X: Internal force cause by static and dynamic wind load
X t : Internal force cause by static wind load acting on building
X d : Internal force cause by dynamic wind load acting on building
s: The number of the calculated oscillation
Static wind load Dynamic wind load
Z(m) …F Mj (T) (kN) (kN) (kN) (kN)
STUDENT: HUYNH GIA HUY ID: 17149016 47
Table 4.8: Result of static and dynamic components of wind
Internal force and displacement due to wind load:
To effectively analyze the combination of wind forces, utilizing ETABS software is essential due to the complexity and scale of the computational processes involved.
- The load internal force combination process is performed by the following steps:
- The static wind load in direction X: WTX
- The static wind load in direction Y: WTY
- The dynamic wind load in direction X: WDX
- The dynamic wind load in direction X: WDY
- Internal force combination of static and dynamic components of the throughput of the wind load: 2 COMBO
- Wind load on X-direction: WX = WTX “+” WDX
- Wind load on Y direction: WY = WTY “+” WDY
In the ETABS model, we will assign the static wind load at the geometric center of the building, ensuring that the wind is directed towards the center of mass for accurate structural analysis.
When designing high-rise buildings in earthquake-prone areas, accounting for seismic load is essential Earthquakes play a critical role in the structural requirements of such constructions, making it imperative to incorporate earthquake-resistant features.
- Calculation of earthquake force according to TCVN 9386: 2012 (Design of works subject to earthquakes)
- According to TCVN 9386: 2012, there are 2 methods of calculating earthquake load: equivalent horizontal static method and vibration spectrum analysis method
- With cycle T1(x) = 2.869s, T2(y) = 2.841s.The equivalent horizontal static method requirement is not fix: T 1 4T C 2.4s
(4.3.3.2 TCVN 9386 : 2012) So in this project, the earthquake load will be calculated according to the vibration response spectrum analysis method (Article 4.3.3.3 of TCVN 9386: 2012)
- The calculation of earthquake load is done according to TCVN 9386: 2012 and the help of software ETABS
Table 4.9: Building characteristics and derivative parameters
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 48
According to TCVN 9386: 2012, the horizontal design spectrum Sd (T) for high-rise buildings can be determined using Excel functions, focusing solely on the horizontal components of earthquake effects.
STUDENT: HUYNH GIA HUY ID: 17149016 49
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 50
- Earthquake load will be declared in the define section
Load combin ation type Case name Scale factor
8 COMB6 ADD TT;HT;WX 1;0.9;0.9
9 COMB7 ADD TT;HT;WX 1;0.9;-0.9
10 COMB8 ADD TT;HT;WY 1;0.9;0.9
11 COMB9 ADD TT;HT;WY 1;0.9;-0.9
12 COMB10 ADD TT;HT;WX;WY 1;0.9;0.63;0.63
13 COMB11 ADD TT;HT;WX;WY 1;0.9;0.63;-0.63
14 COMB12 ADD TT;HT;WX;WY 1;0.9;-0.63;0.63
15 COMB13 ADD TT;HT;WX;WY 1;0.9;-0.63;-0.63
18 COMB16 ADD TT;HT;QX 1;0.3;1
19 COMB17 ADD TT;HT;QY 1;0.3;1
20 COMB18 ADD TT;HT;QX;QY 1;0.3;1;0.3
21 COMB19 ADD TT;HT;QY;QX 1;0.3;1;0.3
20 COMBAO ENVE (COMB1;COMB2….COMB19) (1;1….;1)
Q Load cases Name Type Self weight Auto lateral load
1 Dead load TT Live 1.1 User defined
2 Live load HT Live 0 User defined
3 Dynamic load X WDX Wind 0 User defined
4 Dynamic load Y WDY Wind 0 User defined
5 Static load X WTX Wind 0 User defined
6 Static load Y WTY Wind 0 User defined
STUDENT: HUYNH GIA HUY ID: 17149016 51
4.2.1 Checking top displacement of frame:
- Section 2.6.3 Structural inspection criteria, TCVN 198-1997 High-rise buildings – Design of reinforced concrete structures of the whole block stipulates:
Strength, deformation, overall stability, and local stability tests of high-rise structures are conducted in accordance with current design standards, ensuring compliance with essential requirements for safety and performance.
- Regarding the hardness test: The horizontal displacement at the top of the structure of the high-rise building calculated by the elastic method must satisfy the following conditions:
- According to section 2.6.3 TCVN 198-1997, the horizontal permissible displacement at the top of the work for the wall-frame structure is: 1
Figure 4.4: Top displacement of frame according to X-direction
Figure 4.5: Top displacement of frame according to Y-direction
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 52
4.2.2 Checking top acceleration of frame:
- According to TCXD 198:1997, the maximum acceleration of the movement at the top of the building under the influence of the wind meets the following conditions:
- In which: the allowable peak acceleration according to the standard is taken as 150 mm/s2
- Refer to the book DESIGN & CONSTRUCTION OF HIGH-RISE BUILDING -
Construction publishing house 1996, the work acceleration is calculated as follows:
f: is the oscillation frequency of the form
Aw: is the displacement of the dynamic wind
Checking top acceleration according to X – direction:
Checking top acceleration according to Y – direction:
4.2.3 Checking anti-roll of frame:
- According to TCXD 198 - 1997 high-rise buildings have a ratio of height to width:
→ No need to check the anti-roll condition
STUDENT: HUYNH GIA HUY ID: 17149016 53
9386:2012 is the difference of the average horizontal displacements of story drifts at the ceiling and floor of the floor under consideration
4.2.4.2 Checking according to wind-load:
- According to the instructions in Table M.4, Appendix M - TCVN 5574:2018, the horizontal displacement of a floor of a multi-storey building is limited as follows:
- Walls and partitions made of bricks, gypsum concrete, reinforced concrete panels:
- Walls (natural stone tiles) made of ceramic tiles:
d r : Floor displacement (relative horizontal displacement between floors) caused by wind load case It is the value of dr UX and dr UY from ETABS software
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 54
Table 4.13: Checking displacement of story according to wind load
4.2.4.3 Checking according to earthquake load:
- According to the instructions in 4.4.3.2 - TCVN 9386:2012, limit the relative horizontal displacement between floors (displacement of floor is as follows):
- For buildings with non-structural parts of brittle materials: d r v 0.005h
- For buildings with non-structural parts made of flexible materials: d r v 0.0075h
d r : Displacement of floor (relative horizontal displacement between floors), is the difference of average horizontal displacements ds at ceiling and floor of the floor under consideration (d s q d d c )
d s : Displacement of a point of the structural system caused by the design seismic action
d q : Displacement behavior coefficient, assumed to be q, unless otherwise stated
d c : Displacement of the same point of the structural system is determined by linear analysis based on response spectrum
The reduction factor, denoted as ν, is crucial for assessing the lower repetition period of seismic actions in relation to damage limitation requirements Its value varies based on seismic hazards and the importance of the building For important buildings classified as grade I and II, it is advisable to use ν = 0.4, while for significant structures of grade I and II, as well as levels III and IV, a value of ν = 0.5 is recommended.
STUDENT: HUYNH GIA HUY ID: 17149016 55 d rUX (mm) d rUY (mm) rUx.v r Ux.v
Attic 0.020838 0.034368 3.00E-02 2.12E-02 73.1 18.5 Satisfied Roofing 0.00024 0.000599 1.25E-03 1.25E-03 71.1 20 Satisfied Terrace 0.000275 0.000648 1.25E-03 1.25E-03 67.3 17.5 Satisfied
Table 4.14: Checking displacement of story according to earthquake load
4.2.5 Checking P-DELTA condition (second order effect analysis)
- The sensitivity of the relative horizontal displacement between floors is calculated according to the formula 4.28 TCVN 9386-2012: 0.1
: is the sensitivity coefficient of the relative horizontal displacement between floors;
P tot : is the total wall load at the floor under consideration and the floors above it when designed to withstand earthquakes;
V tot : is the total shear force caused by the earthquake;
h: is the height of the floor
d r : is the difference of the average horizontal displacement at the center of mass at the ceiling and floor of the floor under consideration
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 56
d rif : displacement according to the results of elastic analysis using design spectrum
+ 0.1: no need to consider the P-Δ effect
+ 0.1 0.2: approximately multiply consequences effect by 1/(1-θ)
+ 0.3: re-adjust the structural system and re-calculate and check
Standard load combination to determine Ptot:
Ptot = Dead-load (self-weight + completion weight+ weight of wall…)+ n*Live-load
Figure 4.7: P tot result from ETABS programe
Determine Vtot with earthquake load PDDX, PDDY
With COMB PDDX = ADD(QX+0.3QY), COMB PDDYD(0.3QX+QY)
STUDENT: HUYNH GIA HUY ID: 17149016 57
Attic 2 4578.6435 0.9612 1.4358 0.08495 0.0046 0.032091 0.001163 OK Roofing 3.8 26079.223 2.8199 4.2646 0.07395 0.0256 0.035919 0.008222 OK Terrace 3.8 50137.8525 4.7332 7.2492 0.07395 0.0046 0.04105 0.001667 OK
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 58
- Tensile plate should be calculated according to rectangular cross-section b×h
- The calculated reinforcement content and the layout content must meet the following condition: min max
àmin: Minimum reinforcement content ratio: àmin = 0.05%
àmax: Maximum reinforcement content ratio
- In case of positive moment in span: The flange participates in compression, so we consider steel according to the cross-section T
- Structural conditions to be included in the wing width calculation: b f = b d + 2S f
Mf = Rb × bf × hf × (h0–0,5.hf)
If M ≤ Mf → neutral axis through the wing, then calculate the beam according to the rectangular section with dimensions (bf × h)
If M Mf → the neutral axis passes through the stiffness
STUDENT: HUYNH GIA HUY ID: 17149016 59
- Tensile plate should be calculated according to rectangular cross-section b×h
- The calculated reinforcement content and the layout content must meet the following condition: min max
àmin: Minimum reinforcement content ratio: àmin = 0.05%
àmax: Maximum reinforcement content ratio
4.3.1.1 Effectuate the calculation of typical beam:
No Story Beam Span Location M
Table 4.16: Internal force of beam B1
Calculate rebar at left support:
- Calculation of reinforcement along the problem of bending members of rectangular section b×h0×60(cm)
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 60
Calculate rebar at right support:
- Calculation of reinforcement along the problem of bending members of rectangular section b×h0×60(cm)
- Calculate the reinforcement at the bearing section with the largest absolute value in the beam with the same span, then arrange for the remaining beams of the remaining floor
- Calculate stirrups of beam element
- Beam B14 (300×600) with maximum shear force: Qmax = 355.11 kN
- Checking condition of concrete strip between inclined sections (main compressive stress):
STUDENT: HUYNH GIA HUY ID: 17149016 61 b b1 b 0
- Checking condition of shear force on inclined section: b sw
- Considering the most dangerous case when Qb+Qsw reaches the minimum value
- Preliminary selection of belt steel diameter, number of branches, distance of belts are as follows:
Support h mm h mm s Span h mm h mm
- Replace to formula, we have:
- 0.5.R b.h bt 0 85.05 kNQ b 229.63kN2.5.R b.h bt 0 425.25 kN
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 62
- Checking condition of inclined section subjected to moment: s sw
- We have: M = 107.82 kNm < Ms + Msw = 115.74+20.49 = 136.23 kNm
→ Choosing this stirrup section is satisfied
STUDENT: HUYNH GIA HUY ID: 17149016 63
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 64
STUDENT: HUYNH GIA HUY ID: 17149016 65
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 66
STUDENT: HUYNH GIA HUY ID: 17149016 67
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 68
STUDENT: HUYNH GIA HUY ID: 17149016 69
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 70
STUDENT: HUYNH GIA HUY ID: 17149016 71
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 72
STUDENT: HUYNH GIA HUY ID: 17149016 73
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 74
STUDENT: HUYNH GIA HUY ID: 17149016 75
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 76
STUDENT: HUYNH GIA HUY ID: 17149016 77
Table 4.17: Reinforcement result of beam
CAPSTONE PROJECT INSTRUCTOR: Assoc Prof TRAN TUAN KIET
STUDENT: HUYNH GIA HUY ID: 17149016 78
The internal forces acting on columns consist of three key values: axial load (P), moment about the x-axis (Mx = M2), and moment about the y-axis (My = M3) Consequently, the design of the column is based on the principles of oblique eccentric compression and the arrangement of circumferential steel reinforcement.
In the analysis of the section with edges Cx and Cy, it is essential to consider the effects of compressive force N and bending moments Mx and My, along with the random eccentricities eax and eay By evaluating the bending in both directions, the coefficients ηx and ηy are determined, leading to an increase in the moments to Mx1 and My1.