Building Structures (BLD61003)
Structural Analysis of a Bungalow Yong Zhi Kang 0327791 Tutor: Mr. Mohd Adib Raml
School of Architecture, Building and Design
TABLE OF CONTENT 1.0 Introduction ……………..…….……………..…….………….1 2.0 Architectural Plan Drawings ……………..…….………..2-4 3.0 Structural Plan Drawings ……………..…….……………5-7 3.1 Load Distribution Diagrams ……………..…….…...8-10 3.2 Tributary Area Diagrams ……………..…….………11-13 4.0 Design Brief ……………..…….……………..…….………..14 5.0 Structural Analysis BEAM-TO-BEAM CONNECTION ANALYSIS ………….15-17 BEAM-TO-COLUMN CONNECTION ANALYSIS ……...18-20 INTERMEDIATE COLUMN ANALYSIS ……………..…...21-23 EDGE COLUMN ANALYSIS ……………..…….…………24-26
1.0 Introduction In this project, we are required to design a bungalow and prepare structural drawings for the bungalow. This project involves structural theory, force calculation and basic structural proposal which allows further understanding of structural analysis. I obtained and modified few minor parts to produce a set of architectural drawings of a two or three-storey bungalow, which includes ground floor plan, first floor plan and roof plan that fits the project brief. As stated, only grid lines, dimensions and room names are required.Further on, I also carry out structural framing for the bungalow to include the position of columns, beam to beam and beam to columns connections for each level. Followings are the brief building background.
House of UMI, Japan CAPD architects Site area : 385.55sqm
1
2.0 Architectural Ground Floor Plan Ground Floor Plan Scale 1: 100
Beam-to-beam connection Beam-to-column connection Intermediate column Edge column
2
2.0 Architectural First Floor Plan First Floor Plan Scale 1: 100
3
2.0 Architectural Roof Plan Roof Plan Scale 1: 100
4
3.0 Structural Plan Structural Ground Floor Plan Scale 1: 100
Beam-to-beam connection Beam-to-column connection Intermediate column Edge column
5
3.0 Structural Plan Structural First Floor Plan Scale 1: 100
Intermediate column Edge column
6
3.0 Structural Plan Structural Roof Plan Scale 1: 100
Intermediate column Edge column
7
3.1 Load Distribution Diagram Ground Floor Scale 1: 100
Beam-to-beam connection Beam-to-column connection
8
3.1 Load Distribution Diagram First Floor Scale 1: 100
9
3.1 Load Distribution Diagram Roof Scale 1: 100
10.
3.2 Tributary Area Diagram Ground Floor Scale 1: 100
Intermediate columntributary area Edge column- tributary area
11.
3.2 Tributary Area Diagram First Floor Scale 1: 100
Intermediate columntributary area Edge column- tributary area
12.
3.2 Tributary Area Diagram Roof Scale 1: 100
Intermediate columntributary area Edge column- tributary area
13.
4.0 Design Brief Material
Density (kN/m³)
Brick Masonry wall
19
Reinforced concrete
24
Structure
Dimension
Brick Masonry wall
0.15m (thickness) x 3m (H)
Reinforced concrete slab
0.15m (thickness)
Reinforced concrete beam
0.2m (W) x 0.3m (H)
Reinforced concrete column
0.3m (W) x 0.3m (L) x 3m (H)
Roof structure
Standard value
Roof (Live Load)
0.5 kN/m²
Roof (Dead Load)
1.0 kN/m²
Load factors (standard)
Standard value
Residential house Live load (UBBL)
1.5 kN/m²
Ultimate dead load factor
1.4
Ultimate live load factor
1.6
Calculation of structure self-weight :
Brick Masonry Wall self-weight 0.15m x 3m x 19kN/m³ = 8.55 kN/m
Reinforced concrete slab 0.15m x 24kN/m³ = 3.6 kN/m²
Reinforced concrete beam 0.2m x 0.3m x 24kN/m³ = 1.44kN/m
Reinforced concrete column 0.3m x 0.3m x 3m x 24kN/m³ = 6.48 kN
14.
5.0 Structural Analysis Secondary Beam | Beam-To-Beam Connection Analysis - Ground Floor Beam 6i/A-D
A
D 3.89m 1.44 kN/m
Beam self-weight
8.55 kN/m
Dead Load: Reinforced concrete beam 6i/A-D self-weight Dead load = 1.44kN/m
Wall self-weight
5.13 kN/m
Brick masonry wall weight Dead load = 8.55kN/m
Slab A-D/6i-8 self-weight
Reinforced concrete slab A-D/6i-8 Dead load = 3.6kN/m² x (2.85m/2) = 5.13 kN/m Reinforced concrete slab A-D/6-6i
5.184 kN/m
Slab A-D/6-6i self-weight
Dead load = 3.6kN/m² x (2.88m/2) = 5.18 kN/m
20.304 kN/m Total dead load = 1.44 + 8.55 + 5.13 + 5.18 = 20.30 kN/m Total Dead load
15.
5.0 Structural Analysis Ground Floor Beam 6i/A-D A
D
3.89m 2.14 kN/m
Live Load: Reinforced concrete slab A-D/6i-8 Live load = 1.5 kN/m² x (2.85m/2) = 2.14 kN/m Reinforced concrete slab A-B/6-6i Live load = 1.5 kN/m² x (2.88m/2) = 2.16 kN/m Total live load = 2.14 + 2.16 = 4.3 kN/m Ultimate Load: Ultimate dead load = 20.30 kN/m x 1.4 = 28.42 kN/m
Slab A-D/6i-8 Live load
2.16 kN/m
Slab A-D/6-6i Live load
4.30 kN/m
Ultimate live load = 4.30 kN/m x 1.6 = 6.88 kN/m Total ultimate load = 28.42 + 6.88 = 35.30 kN/m
Total Live load
35.30 kN/m
Total Ultimate load
16.
5.0 Structural Analysis Ground Floor Beam 6i/A-D A
D
3.89m
Load Diagram: Uniform distributed load (UDL) = 35.30 kN/m
35.30 kN/m
In equilibrium, ∑MA = 0 0 = 3.89Rd + (-35.30kN/m x 3.89 m x 1.945) 3.89 Rd = 267.08 kN Rd = 68.66 kN Load diagram
∑Fy = 0 0 = Ra + 68.66 kN + (-35.30 x 3.89) Ra = 68.66 kN
Ra = 68.66 kN
Rd = 68.66 kN
68.66 kN
Shear Force Diagram, V: Positive area = 0.5 x 68.66 kN x 1.945m = 66.77 kNm Negative area= 0.5 x 68.66 kN x 1.945m = 66.77 kNm
(+)
(-68.66+68.66) 0 kN
0kN
(-)
Shear Force diagram
(68.66-137.32) 68.66 kN
66.77 kNm
Bending Moment Diagram, B: Positive area - negative area in V = 66.77 kNm - 66.77 kNm = 0 kNm (Positive area = Negative area)
0 kNm
Bending Moment diagram
0 kNm
17.
5.0 Structural Analysis Primary Beam | Beam-To-Column Connection Analysis - Ground Floor Beam A/6-8
6
6i 2.88 m
2.85 m
8
1.44 kN/m
Beam self-weight
8.55 kN/m
Wall self-weight
Dead Load: Reinforced concrete beam A/6-8 self-weight
3.46 kN/m
Dead load = 1.44kN/m Brick masonry wall weight
Slab A-D/6-6i self-weight
Dead load = 8.55kN/m 3.42 kN/m
Reinforced concrete slab A-D/6-6i Dead load = 3.6kN/m² x (2.88m/2) x 2/ 3 = 3.46 kN/m
Slab A-D/6i-8 self-weight
Reinforced concrete slab A-D/6i-8 Dead load = 3.6kN/m² x (2.85m/2) x 2/ 3 = 3.42 kN/m Total dead load 6-6i = 1.44 + 8.55 + 3.46 = 13.45 kN/m Total dead load 6i-8 = 1.44 + 8.55 + 3.42 = 13.41 kN/m
13.45kN/m
13.41 kN/m
Total Dead load
18.
6
5.0 Structural Analysis Ground Floor Beam A/6-8
6i
2.88 m
2.85 m
8
1.44kN/m
Slab A-D/6-6i Live load
Live Load: Reinforced concrete slab A-B/6-6i
1.43 kN/m
Live load = 1.5 kN/m² x (2.88m/2) x 2/ 3 = 1.44 kN/m Slab A-D/6i-8 Live load
Reinforced concrete slab A-B/6i-8 Live load = 1.5 kN/m² x (2.85m/2) x 2/ 3 = 1.43 kN/m
1.44kN/m
Total live load 6-7 = 1.44 kN/m Total live load 7-9 = 1.43 kN/m
1.43 kN/m
Total Live load
18.83kN/m
Ultimate Load: Ultimate dead load 6-6i = 13.45 kN/m x 1.4 = 18.83 kN/m
Dead load 6-6i
18.77kN/m
Ultimate dead load 6i-8 = 13.41 kN/m x 1.4 = 18.77 kN/m
Dead load 6i-8
2.30kN/m
Ultimate live load 6-6i = 1.44 kN/m x 1.6 = 2.30 kN/m
Live load 6-6i
2.29kN/m Ultimate live load 6i-8 = 1.43 kN/m x 1.6 = 2.29 kN/m Live load 6i-8
21.13kN/m 21.06 kN/m Total ultimate load 6-6i = 18.83 + 2.30 = 21.13 kN/m Total ultimate load 6i-8 = 18.77 + 2.29 = 21.06 kN/m
Total ultimate load
19.
5.0 Structural Analysis Ground Floor Beam A/6-8 6 Load Diagram: Uniform distributed load (UDL) 6-6i = 21.13 kN/m Uniform distributed load (UDL) 6i-8 = 21.06 kN/m Point load at Ground Floor Beam 6i/A-D = 68.66 kN
21.13 kN/m
21.06 kN/m
Load diagram R8 = 94.8 kN
94.7 kN
(+) Shear Force Diagram, V: Positive area = 0.5(94.7 kN + 33.85 kN) x 2.88 m = 185.11 kNm
8
2.85 m
68.66 kN
In equilibrium, ∑M8 = 0 0 = 5.73 R6 + (-21.13kN/m x 4.29 m x 2.88) + (-68.66 x 2.85) + (-21.06 x 2.85 x 1.43) 5.73 R6 = 261.07 kN + 195.68 kN + 85.83 kN R6 = 94.7 kN R6 = 94.7 kN ∑Fy = 0 0 = R8 + 94.7 kN + (-60.85) + (-68.66) + (-60) R8 = 94.8 kN
6i
2.88 m
(94.7-60.85) 33.85 kN
0kN (33.85-68.66) -34.81 kN
Negative area = 0.5(94.8 kN + 34.81 kN) x 2.85 m = 184.69 kNm
Shear Force diagram
(-94.81+94.8) 0 kN
(-) (-34.81-60) -94.81 kN
185.18 kNm
Bending Moment Diagram, B: Positive area - negative area in V = 185.18 kNm - 184.69 kNm = 0.49 kNm ≈ 0 (Positive area = Negative area)
0 kNm
Bending Moment diagram
0 kNm
*minor reading values difference, tried to calculate several times, due to digit of decimal used.
20.
5.0 Structural Analysis Intermediate Column Analysis - Ground Floor column E6
Dead Load on Ground Floor Level: Brick masonry wall Dead load = (2.87m + 2.67m) x 2 x 8.55 kN/m = 11.08 m x 8.55 kN/m = 94.73 kN Reinforced concrete slab Dead load = (2.87+2.67)m x (2.73+0.74)m x 3.6 kN/m² = 69.21 kN Reinforced concrete beam self-weight Dead load = (5465/2)m + (5.54m x 2) x 1.44 kN/m = 19.89 kN Reinforced concrete column self-weight Dead load = 6.48 kN Total dead load = 94.73 + 69.21 + 19.89 + 6.48 = 190.31 kN
Live Load on Ground Floor Level: Reinforced concrete slab Live load = (5.54 m x 3.47 m) x 1.5 kN/m² = 28.84 kN
21.
5.0 Structural Analysis Intermediate Column Analysis - First Floor column E6
Dead Load on First Floor Level: Brick masonry wall Dead load = [2.73 m + 3.05 m + 2.87 m] x 8.55 kN/m = 8.65 m x 8.55 kN/m = 73.96 kN Reinforced concrete slab Dead load = (2.87 m + 3.05 m) x 2.73 m x 3.6 kN/m² = 58.18 kN Reinforced concrete beam self-weight Dead load = (2.73m + 3.05m + 2.87m) x 1.44 kN/m = 12.46kN Reinforced concrete column self-weight Dead load = 6.48 kN Total dead load = 73.96 + 58.18 + 12.46 + 6.48 = 151.08 kN
Live Load on First Floor Level: Reinforced concrete slab Live load = (2.87 m + 3.05 m) x 2.73 m x 1.5 kN/m² = 24.24 kN
22.
5.0 Structural Analysis Intermediate Column Analysis - Roof level column E6
Dead Load on Roof Level: Roof weight Dead load = (5.92 m x 3.47 m) x 1.0 kN/m² = 20.54 kN Reinforced concrete roof beam self-weight Dead load = (2.73m + 3.05m + 2.87) x 1.44 kN/m = 12.46 kN Total dead load = 20.54 + 12.46 = 33 kN
Live Load on Roof Level: Roof weight Live load = (5.92 m x 3.47 m) x 0.5 kN/m² = 10.27 kN
Intermediate Column E6 - Total ultimate load Ultimate Load: Total dead load = 33.0 kN + 151.08 kN + 190.31 kN = 374.39 kN Total live load = 10.27 kN + 24.24 kN + 28.84 kN = 63.35 kN Ultimate dead load = 374.39 kN x 1.4 = 524.15 kN Ultimate live load = 63.35 x 1.6 = 101.36 kN Total ultimate load = 524.15 + 101.36 = 625.51 kN
23.
5.0 Structural Analysis Edge Column Analysis - Ground Floor column E1
Dead Load on Ground Floor Level: Brick masonry wall Dead load = [(2.73 x 2) m + 1.12 m] x 8.55 kN/m = 56.26 kN Reinforced concrete slab Dead load = (2.73 x 3.05 m) x 3.6 kN/m² = 29.98 kN Reinforced concrete beam self-weight Dead load = [(2.73m x 2) + 3.05m] x 1.44 kN/m = 12.25 kN Reinforced concrete column self-weight Dead load = 6.48 kN Total dead load = 56.26 + 29.98 + 12.25 + 6.48 = 104.97 kN Live Load on Ground Floor Level: Reinforced concrete slab Live load = (2.73 m x 3.05 m) x 1.5 kN/m² = 12.49 kN
24.
5.0 Structural Analysis Edge Column Analysis - First Floor column E1
Dead Load on First Floor Level: Brick masonry wall Dead load = (2.73 + 3.05) m x 8.55 kN/m = 49.42 kN Reinforced concrete slab Dead load = (2.73 x 3.05 m) x 3.6 kN/m² = 29.98 kN Reinforced concrete beam self-weight Dead load = (2.73m + 3.05m) )x 1.44 kN/m = 8.32 kN Reinforced concrete column self-weight Dead load = 6.48 kN Total dead load = 49.42 + 29.98 + 8.32 + 6.48 = 94.2 kN Live Load on Ground Floor Level: Reinforced concrete slab Live load = (2.73 m x 3.05 m) x 1.5 kN/m² = 12.49 kN
25.
5.0 Structural Analysis Edge Column Analysis - Roof level column E1
Dead Load on Roof Level: Roof weight Dead load = (3.05 m x 2.73 m) x 1.0 kN/m² = 8.33 kN Reinforced concrete roof beam self-weight Dead load = (2.73 m + 3.05 m) x 1.44 kN/m = 8.32 kN Total dead load = 8.33 + 8.32 = 16.65 kN
Live Load on Roof Level: Roof weight Live load = (3.05 m x 2.73 m) x 0.5 kN/m² = 4.16 kN
Ultimate Load: Total dead load = 104.97 kN + 94.2 kN + 16.65 kN = 215.82 kN Total live load = 12.49 kN + 12.49 kN + 4.16 kN = 29.14 kN Ultimate dead load = 215.82 kN x 1.4 = 302.15 kN Ultimate live load = 29.14x 1.6 = 46.62 kN Total ultimate load = 302.15 + 46.62 = 348.77 kN
26.