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SCHOOL OF ARCHITECTURE, BUILDING AND DESIGN BACHELOR
OF SCIENCE (HONS) IN ARCHITECTURE
Building Structures (ARC 2522/2523)
Project 2 : Structural Analysis of a Bungalow
PREPARED BY
TUTOR : Mr. Adip
Rachael Cheong
Wong Wan Jiuan
Nicole Foo
Chin Vin Yan
Ang Averllen
Tan Yincy
0319926
0327173
03
0320311
0321444
0318355
TABLE OF CONTENT
1. INTRODUCTION
2. FLOOR PLANS
- GROUND FLOOR PLAN
- FIRST FLOOR PLAN
- ROOF PLAN
3. STRUCTURAL PLANS
- FOUNDATION PLAN
- GROUND FLOOR STRUCTURAL PLAN
- FIRST FLOOR STRUCTURAL PLAN
- ROOF STRUCTURAL PLAN
4. THREE DIMENSIONS STRUCTURAL
PERSPECTIVE
5. LOAD DISTRIBUTION PLANS
- GROUND FLOOR LOAD DISTRIBUTION PLAN
- FIRST FLOOR LOAD DISTRIBUTION PLAN
6. DESIGN BRIEF
7. INDIVIDUAL CALCULATION
- BEAMS & COLUMNS ANALYSIS
- Wong Wan Jiuan 0327173
- Nicole Foo 0325517
- Rachael Cheong 0319926
- Tan Yincy 0318355
- Ang Averllen 0321444
- Chin Vin Yan 0320311
INTRODUCTION
Location: Sibu, Sarawak
Residential type: 2-storey bungalow
Floor Area:
Ground floor: 228.16 SQ.m
First floor: 150.61 SQ.m
Area included:
Ground floor: Living area & lounge
Kitchen
Dining area
Study room
Master bedroom
Courtyard
Patio
First floor: Four bedrooms
This detached house can accommodate around 6
to 10 people. Master bedroom was designed on
the ground floor for aging parents, while children
stay on the first floor. On the first floor, mainly for
sleeping, and daytime activities are ongoing on the
ground floor.
GROUD FLOOR PLAN SCALE 1 : 200
ARCHITECTURAL DRAWINGS
FIRST FLOOR PLAN SCALE 1 : 200
ARCHITECTURAL DRAWINGS
ROOF PLAN SCALE 1 : 200
ARCHITECTURAL DRAWINGS
LOWER GROUND FLOOR PLAN SCALE 1 : 200
STRUCTURAL PLAN
FIRST FLOOR PLAN SCALE 1 : 200
STRUCTURAL PLAN
GROUND FLOOR PLAN SCALE 1 : 200
STRUCTURAL PLAN
ROOF PLAN SCALE 1 : 200
STRUCTURAL PLAN
GROUND FLOOR PLAN SCALE 1 : 200
LOAD DISTRIBUTION PLAN
FIRST FLOOR PLAN SCALE 1 : 200
LOAD DISTRIBUTION PLAN
1. DESIGN BRIEF
1.1 CALCULATION FORMULA
Slab System
When Ly/Lx > 2 (One way slab system)
When Ly/Lx < 2 or + 2 (Two way slab system)
Beam Calculation
Beam self weight = material density x beam size
Dead load on slab
Brick wall self weight = material density x thickness height
Live load on slab
Ultimatee load = [ Total deadload x 1.4 ] + [ Total live load x 1.6 ]
Reaction force
Column Calculation
Brick wall self weight = material density x thickness x total length of walls in tributary area
Slab self weight = material density x thickness x area of tributary area
Beam self weight = materialdensity xbeamsize x total length of beams in tributary area
Column self weight = material density x column size x column height
Live load on slab =UBBL live load factor x area space within tributary area
Ultimatee load = [ Total deadload x 1.4 ] + [ Total live load x 1.6 ]
Ly = Longer side of slab
Lx = Shorter side of slab
= Beam self weight x thickness x Lx/2
= [ Beam self weight x thickness x Lx/2 ] x 2/3
= UBBL live load factor x Lx/2
= [ UBBL live load factor x Lx/2 ] x 2/3
one way / two way slab Tapezoidal shape
two way slab Triangular shape
one way / two way slab Tapezoidal shape
two way slab Triangular shape
= ∑M = 0
= ∑M = Force x Perpendicular distance
INDIVIDUAL CALCULATION
BEAM ANALYSIS
RACHAEL CHEONG 0319926
BEAM ANALYSIS
RACHAEL CHEONG 0319926
Beam Calculation (C’/2-2’)
Dead Load
Slab Self-weight:
0.15m x 24kN/m3 = 3.6kN/m2
Beam Self-weight:
0.15m x 0.45m x 24kN/m3 = 1.62kN/m
Brick wall Self-weight:
3.3m x 0.15m x 19kN/m3 = 9.405kN/m
Dead load on Slab C-C’ /2-2’:
[ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m
Dead load on Slab C’-D / 2-2’:
[ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m
Total Dead load from C’-D: = 17.9kN/m
Live Load
Live load on Slab C-C’ / 2-2’:
[ 1.5kN/m2 x 1.9/2 ] = 1.4kN/m
Live load on Slab C’-D / 2-2’:
[ 1.5kN/m2 x 1.9/2 ] = 1.4kN/m
Total Dead load from C’-D: = 2.8kN/m
Ultimate Load
Dead Load from 2-2’:
17.9kN/m x 1.4
= 25.06kN/m
Live Load from 2-2’:
2.8kN/m x 1.6
= 4.5kN/m
Total Ultimate load from C’-D: = 29.6kN/m
Beam Calculation (C-D/2’)
Dead Load
Slab Self-weight:
0.15m x 24kN/m3 = 3.6kN/m2
Beam Self-weight:
0.15m x 0.45m x 24kN/m3 = 1.62kN/m
Brick wall Self-weight:
3.3m x 0.15m x 19kN/m3 = 9.405kN/m
Dead load on Slab C-C’ /2-2’:
[ 3.6kN/m2 x 1.9/2 ] ⅔ = 2.3kN/m
Dead load on Slab C’-D / 2-2’:
[ 3.6kN/m2 x 1.9/2 ] ⅔ = 2.3kN/m
Dead load on Slab C-D / 2’-3:
3.6kN/m2 x 1.87/2 = 3.4kN/m
Total Dead load from C-C’: = 16.7kN/m
Total Dead load from C’-D: = 16.7kN/m
Live Load
Live load on Slab C-C’ / 2-2’:
[ 1.5kN/m2 x 1.9/2 ] ⅔ = 0.95kN/m
Live load on Slab C’-D / 2-2’:
[ 1.5kN/m2 x 1.9/2 ] ⅔ = 0.95kN/m
Live load on Slab C-D / 2’-3:
1.5kN/m2 x 1.87/2 = 1.4kN/m
Total Dead load from C-C’: = 2.35kN/m
Total Dead load from C’-D: = 2.35kN/m
Live
Ultimate Load
Dead Load from C-C’:
16.7kN/m x 1.4 = 23.4kN/m
Dead Load from C’-D:
16.7kN/m x 1.4 = 23.4kN/m
Live Load from C-C’:
2.35kN/m x 1.6 = 3.8kN/m
Live Load from C-C’:
2.35kN/m x 1.6 = 3.8kN/m
Total Ultimate load from C-C’: = 27.2kN/m
Total Ultimate load from C’-D: = 27.2kN/m
Point load from Beam C’/2-2’ At c’/2’
= [ 29.6kN/m x 2.7 ] / 2
= 40kN
Reaction force
UDL to point load:
From C-C’ = 27.2kN/m x 1.9 = 51.7kN
From C’-D = 27.2kN/m x 1.9 = 51.7kN
Use Rc as reference point:
ΣM = M1 - M2 = 0
0 = (Rc x 3.8m) x [ (51.7kN x 2.85) x (40kN x 1.9m) x (51.7kN x 0.95m) ]
3.8 Rc = 272.5kN
3.8 Rc = 71.7kN
ΣF = 0
RC + RD = 51.7kN + 40kN + 51.7kN
RC + RD = 71.7kN
Shear Force Diagram
71.7kN - 51.7kN = 20 kN
20 kN - 40 kN = -20 kN
-20 kN - 51.7kN = -71.7kN
71.7kN - 71.7kN = 0
Bending moment diagram
Area A:
[ (71.7kN + 20kN) x 1.9 ] / 2 = 87.1kN
Beam Calculation (C/2-3)
Dead Load
Slab Self-weight:
0.15m x 24kN/m3 = 3.6kN/m2
Beam Self-weight:
0.15m x 0.45m x 24kN/m3 = 1.62kN/m
Brick wall Self-weight:
3.3m x 0.15m x 19kN/m3 = 9.405kN/m
Dead load on Slab C-C’ / 2-2’:
[ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m
Dead load on Slab B-C / 2-3:
[ 3.6kN/m2 x 4.57/2 ] = 8.23kN/m
Total Dead load from 2-2’: = 22.7kN/m
Total Dead load from 2’-3: = 19.25kN/m
Live Load
Live load on Slab C-C’ / 2-2’:
[ 1.5kN/m2 x 1.9/2 ] = 1.425kN/m
Live load on Slab B-C / 2-3:
[ 1.5kN/m2 x 4.57/2 ] = 3.43kN/m
Total Live load from 2-2’: = 4.85kN/m
Total Live load from 2’-3: = 3.43kN/m
Live
22.7kN/m
19.25kN/m
8.23kN/m
3.43kN/m
4.85kN/m
3.43kN/m
Ultimate Load
Dead Load from 2-2’:
22.7kN/m x 1.4 = 31.78kN/m
Live Load from 2’-3:
19.25kN/m x 1.4 = 26.95kN/m
Live Load from 2-2’:
4.85kN/m x 1.6 = 7.8kN/m
Live Load from 2’-3:
3.43kN/m x 1.6 = 5.5kN/m
Total Ultimate load from 2-2’: = 67.3kN/m
Total Ultimate load from 2’-3: = 32.45kN/m
Point load from Beam 2’/C-D/2’ At C/2’
= 71.7kN
Reaction force
UDL to point load:
From 2-2’ = 67.3kN/m x 2.7 = 181.71kN
From 2’-3 = 32.45kN/m x 1.87 = 60.7kN
Use R2 as reference point:
ΣM = M1 - M2 = 0
0 = (R2 x 4.57m) x [ (181.7kN x 3.22) x (71.7kN x 1.87m) x (60.7kN x 0.935m) ]
4.57 R2 = 775.91kN
3.8 R2 = 169.78kN
ΣF = 0
R2 + R3 = 181.7kN + 71.7kN + 60.7kN
RC + R3 = 144.32kN
Shear Force Diagram
169.78kN - 181.7kN = -11.92kN
- 11.92kN - 71.7kN = -83.62kN
-83.62kN - 60.7kN = -144.32kN
Bending moment diagram
x/2.7 = 169.78/181.7
X = 2.52
Area A:
169.78 x 2.52 / 2 = 213.92kN
Area B:
11.92 x 0.18 / 2 = 1.073kN
Area C:
213.92 - 1.073 = 212.85kN
Beam Calculation (C’/3-3’)
Dead Load
Slab Self-weight:
0.15m x 24kN/m3 = 3.6kN/m2
Beam Self-weight:
0.15m x 0.45m x 24kN/m3 = 1.62kN/m
Brick wall Self-weight:
3.3m x 0.15m x 19kN/m3 = 9.405kN/m
Dead load on Slab C-C’ / 3-3’:
[ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m
Total Dead load from 3-3’: = 14.44kN/m
Live Load
Live load on Slab C-C’ / 3-3’:
[ 1.5kN/m2 x 1.9/2 ] = 1.425kN/m
Total Dead load from 3-3’: = 1.425kN/m
Ultimate Load
Dead Load from 3-3’:
14.44kN/m x 1.4 = 20.22kN/m
Live Load from 3-3’:
1.425kN/m x 1.6 = 2.28kN/m
Total Ultimate load from 3-3’: = 22.5kN/m
Reaction force
UDL to point load:
From 3-3’ = 22.5kN/m x 3.8 = 85.5kN
Reaction force for each both sides:
85.5kN / 2 = 42.75kN
Shear Force Diagram
42.75kN
42.75kN - 85.5
Bending moment diagram
Beam Calculation (C-D/3)
Dead Load
Slab Self-weight:
0.15m x 24kN/m3 = 3.6kN/m2
Beam Self-weight:
0.15m x 0.45m x 24kN/m3 = 1.62kN/m
Brick wall Self-weight:
3.3m x 0.15m x 19kN/m3 = 9.405kN/m
Dead load on Slab C-D / 2’-3:
[ 3.6kN/m2 x 1.87/2 ] = 3.4kN/m
Dead load on Slab C-C’ / 3-3’:
[ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m
Total Dead load from C-C’: = 17.8kN/m
Total Dead load from C’-D: = 14.425kN/m
Live Load
Live load on Slab C-D / 2’-3:
[ 1.5kN/m2 x 1.87/2 ] = 1.4025kN/m
Live load on Slab C-C’ / 3-3’:
[ 1.5kN/m2 x 1.9/2 ] = 1.425kN/m
Total Dead load from C-C’: = 2.825kN/m
Total Dead load from C’-D: = 1.4kN/m
Live
Ultimate Load
Dead Load from C-C’:
19.3kN/m x 1.4 = 27kN/m
Live Load from C’-D:
15.9kN/m x 1.4 = 22.3kN/m
Live Load from C-C’:
3.45kN/m x 1.6 = 5.52kN/m
Live Load from C’-D:
2.025kN/m x 1.6 = 3.24kN/m
Total Ultimate load from C-C’: = 35.52kN/m
Total Ultimate load from C’-D: = 25.54kN/m
Point load from Beam C’/3-3’ At C’/3
= 42.75kN
Reaction force
UDL to point load:
From C-C’ = 35.52kN/m x 2.7 = 87.8kN
From C’-D= 25.54kN/m x 1.87 = 47.8kN
Use R2 as reference point:
ΣM = M1 - M2 = 0
0 = (Rc x 4.57m) x [ (87.8kN x 3.22) x (42.75kN x 1.87m) x (47.8kN x 0.935m) ]
4.57 Rc = 407.35kN
3.8 Rc = 89.13kN
ΣF = 0
RC + RD = 87.8kN + 42.75kN + 47.8kN
RC + RD = 89.22kN
Shear Force Diagram
89.13kN - 87.8kN = 1.33kN
1.33kN - 42.75kN = -41.42kN
-41.42kN - 47.8kN = -89.22kN
Bending moment diagram
Area:
[ (89.13kN + 1.33kN) x 2.7 ] / 2 = 122.12kN
COLUMN ANALYSIS
RACHAEL CHEONG 0319926
B.structure report
30kN
138.72kN
122.54kN
- 3.36kN
2ev
20.75kN
85.6kN
G 50.86kN
3.17kN
15.9kN
22.78kN
493.684kN
691.15kN
51.06kN
21.2kN
11.39kN
83.65kN
133.84kN
824.99kN
Ground Floor Beams 2.16kN/m x
(13.9m) =
Ground Floor Bick wall 9.98kN/m x
(13.9m) =
Ground Floor Slab 3.6kN/m2 x
(34.04m2) =
Ground Floor Column -
=
Ground Floor Bick wall 2ev
First Floor Beams 1.62kN/m x
(12.7m) =
Ground Floor Bick wall 9.41kN/m x
(9.1m) =
Ground Floor Slab 3.6kN/m2 x
(14.13m2) =
Ground Floor Column -
=
Roof Roof beam 1.26kN/m x
(12.6m) =
Ground Floor Area 1kN/m2 x
(22.78m2) =
Total Dead load
=
Apply 1.4 dead load factor =
Ground Floor Slab 1.5kN/m2 x (34.04m2)
=
First Floor Slab 1.5kN/m2 x (14.13m2)
=
Roof Slab 0.5kN/m2 x
(22.78m2) =
Total Dead load
=
Apply 1.6 live load factor =
Total Ultimate load
=
Tributary area method load analysis on column C3
GROUND FLOOR STRUCTURAL PLAN
FIRST FLOOR STRUCTURAL PLAN
ROOF LEVEL STRUCTURAL PLAN
COLUMN C3
COLUMN C4
COLUMN C3
COLUMN C4
COLUMN C3
COLUMN C4
Dead load acting on column C3
Live load acting on column C3
30kN
138.72kN
122.54kN
- 3.36kN
2ev
20.75kN
91.28kN
G 50.86kN
3.17kN
11.72kN
8.61kN
480.33kN
672.5kN
51.06kN
21.2kN
4.305kN
76.6kN
122.6kN
795.1kN
Ground Floor Beams 2.16kN/m x
(13.9m) =
Ground Floor Bick wall 9.98kN/m x
(13.9m) =
Ground Floor Slab 3.6kN/m2 x
(34.04m2) =
Ground Floor Column -
=
Ground Floor Bick wall 2ev
First Floor Beams 1.62kN/m x
(12.7m) =
Ground Floor Bick wall 9.41kN/m x
(9.7m) =
Ground Floor Slab 3.6kN/m2 x
(14.13m2) =
Ground Floor Column -
=
Roof Roof beam 1.26kN/m x
(9.3m) =
Ground Floor Area 1kN/m2 x
(8.61m2) =
Total Dead load
=
Apply 1.4 dead load factor =
Ground Floor Slab 1.5kN/m2 x (34.04m2)
=
First Floor Slab 1.5kN/m2 x (14.13m2)
=
Roof Slab 0.5kN/m2 x
(8.61m2) =
Total Dead load
=
Apply 1.6 live load factor =
Total Ultimate load
=
Tributary area method load analysis on column C4
GROUND FLOOR STRUCTURAL PLAN
FIRST FLOOR STRUCTURAL PLAN
ROOF LEVEL STRUCTURAL PLAN
COLUMN C3
COLUMN C4
COLUMN C3
COLUMN C4
COLUMN C3
COLUMN C4
Dead load acting on column C3
Live load acting on column C3
BEAM ANALYSIS
WONG WAN JIUAN 0327173
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
COLUMN ANALYSIS
WONG WAN JIUAN 0327173
B.structure report
B.structure report
B.structure report
B.structure report
BEAM ANALYSIS
NICOLE FOO 03
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
COLUMN ANALYSIS
NICOLE FOO 03
B.structure report
B.structure report
B.structure report
BEAM ANALYSIS
CHIN VIN YAN 0320311
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
B.structure report
COLUMN ANALYSIS
CHIN VIN YAN 0320311
B.structure report
B.structure report
BEAM ANALYSIS
ANG AVERLLEN 0321444
COLUMN ANALYSIS
ANG AVERLLEN 0321444
BEAM ANALYSIS
TAN YINCY 0318355
Beam C/ 4-5
Dead Load
Beam self-weight:
0.15m X 0.6 X 24kN/m3 = 2.16kN/m
Brick wall self-weight:
3.5m X 0.15m X 19kN/m3 = 9.98kN/m
Slab self-weight:
0.15m X 24kN/m3 = 3.6kN/m
Dead load on Slab B’-C/ 4-5:
3.6kN/m3 X (1.8m ÷ 2) = 3.24kN/m
Dead load on Slab C-D/ 4-5:
3.6kN/m2 X (4.57m ÷ 2) 2/3 = 5.48kN/m
Total dead load:
3.24kN/m + 5.48kN/m + 2.16kN/m + 9.98kN/m +
3.6kN/m = 24.46kN/m
Live Load
Live load factor for detached house: 1.5kN/m2
Live load on Slab B’-C/ 4-5:
1.5kN/m2 X (1.8m ÷ 2) = 1.35kN/m
Live load on Slab C-D/ 4-5:
1.5kN/m2 X (4.57m ÷ 2) = 2.29kN/m
Total live load:
1.35kN/m + 2.29kN/m
= 3.64kN/m
Ultimate Load
Total dead load:
24.46kN/m X 1.4 = 34.24kN/m
Total live load:
3.64kN/m X 1.6 = 5.824kN/m
Ultimate load 40.064kN/m
Reaction Force
(Ultimate load X Total length) ÷ 2
= (40.064 X 4.57) ÷ 2
= 183.12 ÷ 2
= 91.55kN
Bending Moment Diagram
Area A:
(91.55 X 2.29) (1/2) = 104.6kN
Beam D’-E/ 4’
Dead Load
Beam self-weight:
0.15m X 0.6 X 24kN/m3 = 2.16kN/m
Slab self-weight:
0.15m X 24kN/m3 = 3.6kN/m
Dead load on Slab D’-E/ 4’-4:
3.6kN/m3 X (2.08m ÷ 2) = 3.74kN/m
Dead load on Slab D’-E/ 4’-5:
3.6kN/m2 X (2.37m ÷ 2) = 4.27kN/m
Total dead load:
3.74kN/m + 4.27kN/m + 2.16kN/m + 3.6kN/m
= 13.77kN/m
Live Load
Live load factor for detached house: 1.5kN/m2
Live load on Slab D’-E/ 4’-4:
1.5kN/m2 X (2.08m ÷ 2) = 1.56kN/m
Live load on Slab D’-E/ 4’-5:
1.5kN/m2 X (2.37m ÷ 2) = 1.78kN/m
Total live load:
1.56kN/m + 1.78kN/m
= 3.34kN/m
Ultimate Load
Total dead load: 13.77kN/m X 1.4 = 19.28kN/m
Total live load: 3.34kN/m X 1.6 = 5.34kN/m
Ultimate load 24.62kN/m
Reaction Force
(Ultimate load X Total length) ÷ 2
= (24.62 X 2.37) ÷ 2
= 58.35 ÷ 2
= 29.17kN
Bending Moment Diagram
Area A:
(29.17 X 1.19) (1/2) = 17.36kN
Dead Load
Beam self-weight:
0.15m X 0.6m X 24kN/m3 = 2.16kN/m
Dead load on Slab 4-5/ D’-D:
(3.6kN/m2 X 4.57m ÷ 2) 2/3 = 5.48kN/m
Dead load on Slab 4-4’/ D’-E:
(3.6kN/m2 X 2.08m ÷ 2) 2/3 = 2.49kN/m
Dead load on Slab 4’-5 / D’-E:
(3.6kN/m2 X 2.37m ÷ 2) 2/3 = 2.85kN/m
Total dead load from 4-4’/ D’-E:
5.48kN/m + 2.49kN/m + 2.16kN/m = 10.13kN/m
Total dead load from 4’-5 / D’-E:
5.48kN/m + 2.85kN/m + 2.16kN/m = 10.49kN/m
Beam D’/ 4-5
Live Load
Live load factor for detached house: 1.5kN/m2
Live load on Slab 4-5/ D’-D:
(1.5N/m2 X 4.57m ÷ 2) 2/3 = 2.29kN/m
Live load on Slab 4-4’ / D’-E:
(1.5kN/m2 X 2.08m ÷ 2) 2/3 = 1.04kN/m
Live load on Slab 4’-5 / D’-E:
(1.5kN/m2 X 2.37m ÷ 2) 2/3 = 1.19kN/m
Total live load from 4-4’/ D’-E:
2.29kN/m + 2.49kN/m = 4.78kN/m
Total live load from 4’-5 / D’-E:
2.29kN/m + 1.19kN/m = 3.48kN/m
Ultimate Load
Total dead load from 4-4’/ D’-E:
10.13kN/m X 1.4 = 14.18kN/m
Total live load from 4-4’/ D’-E:
4.78kN/m X 1.6 = 7.65kN/m
Ultimate load from 4-4’/ D’-E 21.83kN/m
Total dead load from 4’-5 / D’-E:
10.49kN/m X 1.4 = 14.69kN/m
Total live load from 4’-5 / D’-E:
3.48kN/m X 1.6 = 5.57kN/m
Ultimate load from 4’-5 / D’-E 20.26kN/m
Point load from Beam D’-E/ 4’ at D’/ 4’
= 29.17kN
Reaction Force
UDL to Point Load:
From 4-4’: 21.83kN/m x 2.08M = 45.41kN
From 4’-5: 20.26kN/m x 2.49M = 50.45kN
Use R5 as reference point:
∑M = 0
∑M = M1 – M2
(R4 X 4.57m) – (45.41kN X 3.53m) – (29.17kN x 2.49M)
- (50.45kN X 1.2m) = 0
(R4 X 4.57m) = 160.3kN + 72.63kN + 60.54kN
(R4 X 4.57m) = 293.47kN
R4 = 64.22kN
∑F = 0
R4 + R5 = 45.41kN + 29.17kN + 50.45kN
64.22kN + R5 = 125.03kN
R5 = 60.81kN
Shear Force Diagram
64.22kN – 45.41kN =18.81kN
18.81kN – 29.17kN = -10.36kN
-10.36kN – 50.45kN = -60.81kN
Bending Moment Diagram
Area:
[(64.22 + 18.81) X 2.08] ÷ 2
= 86.35kN
Beam C-E/ 4
Dead Load
Beam self-weight:
0.15m X 0.6m X 24kN/m3 = 2.16kN/m
Wall self-weight:
3.5m X 0.15m X 19kN/m3 = 9.98kN/m
Dead load on Slab C-E/ 4-3:
3.6kN/m2 X (4.57m ÷ 2) = 8.23kN/m
Dead load on Slab C-D’/ 4-5:
3.6kN/m2 X (4.57m ÷ 2) = 8.23kN/m
Dead load on Slab D’-E/ 4-4’:
3.6kN/m2 X (2.08m ÷ 2) = 3.74kN/m
Total dead load from C-D’/ 4:
8.23kN/m + 2.16kN/m + 9.98kN/m + 8.23kN/m
= 28.6kN/m
Total dead load from D’-E / 4:
8.23kN/m + 3.74kN/m + 2.16kN/m
= 14.13kN/m
Live Load
Live load factor for detached house: 1.5kN/m2
Live load on Slab C-E/ 4-3:
1.5N/m2 X (4.57m ÷ 2) = 3.43kN/m
Live load on Slab C-D’/ 4-5:
1.5kN/m2 X (4.57m ÷ 2) = 3.43kN/m
Live load on Slab D’-E/ 4-4’:
1.5kN/m2 X (2.08m ÷ 2) = 1.56kN/m
Total live load from C-D’/ 4:
3.43kN/m + 3.43kN/m = 6.86kN/m
Total live load from D’-E / 4:
3.43kN/m + 1.56kN/m = 4.99kN/m
Ultimate Load
Total dead load from C-D’/ 4:
28.6kN/m X 1.4 = 40.04kN/m
Total live load from C-D’/ 4:
6.86kN/m X 1.6 = 10.98kN/m
Ultimate load from C-D’/ 4 51.02kN/m
Total dead load from D’-E / 4:
14.13kN/m X 1.4 = 19.78kN/m
Total live load from D’-E / 4:
4.99kN/m X 1.6 = 7.98kN/m
Ultimate load from D’-E / 4 27.76kN/m
Point load from Beam 4-5/ D’ at D’/ 4
= 68.31kN
Reaction Force
UDL to Point Load:
From C-D’: 51.02kN/m x 6.23M =
317.85kN
From D’-E: 27.76kN/m x 2.37M =
65.79kN
Use RE as reference point:
∑M = 0
∑M = M1 – M2
(Rc’ X 8.6m) – (317.85kN X 3.12m) – (68.31kN x
2.37M) - (65.79kN X 1.19m) = 0
(Rc’ X 8.6m) = 991.69kN + 161.89kN + 78.29kN
(Rc’ X 8.6m) = 1231.87kN
Rc’ = 143.24kN
∑F = 0
Rc’ + RE = 317.85kN + 68.31kN + 65.79kN
143.24kN + RE = 451.95kN
RE = 308.71kN
Shear Force Diagram
143.24kN – 317.85kN = -174.61kN
-174.61kN – 68.31kN = -242.92kN
-242.92kN – 65.79kN = -308.71kN
Bending Moment Diagram
COLUMN ANALYSIS
TAN YINCY 0318355
Live load factor for detached house
= 1.5kN/m2
Ground floor height: = 3.5m
First floor height:
= 3.3m
Slab self-weight: 0.15m X 24kN/m3
= 3.6kN/m2
Beam self-weight:
Ground floor: 0.15 X 0.6m X 24kN/m3
= 2.16kN/m
First floor: 0.15m X 0.45m X 24kN/m3
= 1.62kN/m
Roof: 0.15m X 0.35m X 24kN/m3
= 1.26kN/m
Brick wall self-weight:
Ground floor 3.5m X 0.15m X 19 kN/m3
= 9.98kN/m
First floor: 3.3m X 0.15m X 19kN/m3
= 9.41kN/m
Column self-weight:
Ground floor: 3.5m X 0.2m X 0.2m X 24kN/m3
= 3.36kN
First floor: 3.3m X 0.2m X 0.2m X 24kN/m3
= 3.17kN
Columns’ calculation
Dead Load acting on Column B-2
Ground floor Beams 5.67m X 2.16kN/m 12.15kN
Brick wall 5.67m X 9.98kN/m 56.6kN
Slab 12.7m2 X 3.6kN/m2 45.75kN
Column - 3.36kN
First floor Beams 5.67m X 1.62kN/m 9.19kN
Brick wall 5.67m X 9.41kN/m 53.35kN
Slab 12.7m2 X 3.6kN/m2 45.72kN
Column - 3.17kN
Roof Roof beams 5.67m X 1.26kN/m 7.14kN
Area 12.7m2 X 1.0kN/m2 12.7kN
Total dead load 249.2kN
Apply 1.4 dead load factor 348.88kN
Live Load acting on Column B-2
Ground floor Slab 12.7m2 X 1.5kN/m2 19.05kN
First floor Slab 12.7m2 X 1.5kN/m2 19.05kN
Roof Roof 12.7m2 X 0.5kN/m2 6.35kN
Total live load 44.45kN
Apply 1.6 live load factor 71.12kN
Total Ultimate load 348.88kN + 71.12kN 420kN

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B.structure report

  • 1. SCHOOL OF ARCHITECTURE, BUILDING AND DESIGN BACHELOR OF SCIENCE (HONS) IN ARCHITECTURE Building Structures (ARC 2522/2523) Project 2 : Structural Analysis of a Bungalow PREPARED BY TUTOR : Mr. Adip Rachael Cheong Wong Wan Jiuan Nicole Foo Chin Vin Yan Ang Averllen Tan Yincy 0319926 0327173 03 0320311 0321444 0318355
  • 2. TABLE OF CONTENT 1. INTRODUCTION 2. FLOOR PLANS - GROUND FLOOR PLAN - FIRST FLOOR PLAN - ROOF PLAN 3. STRUCTURAL PLANS - FOUNDATION PLAN - GROUND FLOOR STRUCTURAL PLAN - FIRST FLOOR STRUCTURAL PLAN - ROOF STRUCTURAL PLAN 4. THREE DIMENSIONS STRUCTURAL PERSPECTIVE 5. LOAD DISTRIBUTION PLANS - GROUND FLOOR LOAD DISTRIBUTION PLAN - FIRST FLOOR LOAD DISTRIBUTION PLAN 6. DESIGN BRIEF 7. INDIVIDUAL CALCULATION - BEAMS & COLUMNS ANALYSIS - Wong Wan Jiuan 0327173 - Nicole Foo 0325517 - Rachael Cheong 0319926 - Tan Yincy 0318355 - Ang Averllen 0321444 - Chin Vin Yan 0320311
  • 3. INTRODUCTION Location: Sibu, Sarawak Residential type: 2-storey bungalow Floor Area: Ground floor: 228.16 SQ.m First floor: 150.61 SQ.m Area included: Ground floor: Living area & lounge Kitchen Dining area Study room Master bedroom Courtyard Patio First floor: Four bedrooms This detached house can accommodate around 6 to 10 people. Master bedroom was designed on the ground floor for aging parents, while children stay on the first floor. On the first floor, mainly for sleeping, and daytime activities are ongoing on the ground floor.
  • 4. GROUD FLOOR PLAN SCALE 1 : 200 ARCHITECTURAL DRAWINGS
  • 5. FIRST FLOOR PLAN SCALE 1 : 200 ARCHITECTURAL DRAWINGS
  • 6. ROOF PLAN SCALE 1 : 200 ARCHITECTURAL DRAWINGS
  • 7. LOWER GROUND FLOOR PLAN SCALE 1 : 200 STRUCTURAL PLAN
  • 8. FIRST FLOOR PLAN SCALE 1 : 200 STRUCTURAL PLAN
  • 9. GROUND FLOOR PLAN SCALE 1 : 200 STRUCTURAL PLAN
  • 10. ROOF PLAN SCALE 1 : 200 STRUCTURAL PLAN
  • 11. GROUND FLOOR PLAN SCALE 1 : 200 LOAD DISTRIBUTION PLAN
  • 12. FIRST FLOOR PLAN SCALE 1 : 200 LOAD DISTRIBUTION PLAN
  • 13. 1. DESIGN BRIEF 1.1 CALCULATION FORMULA Slab System When Ly/Lx > 2 (One way slab system) When Ly/Lx < 2 or + 2 (Two way slab system) Beam Calculation Beam self weight = material density x beam size Dead load on slab Brick wall self weight = material density x thickness height Live load on slab Ultimatee load = [ Total deadload x 1.4 ] + [ Total live load x 1.6 ] Reaction force Column Calculation Brick wall self weight = material density x thickness x total length of walls in tributary area Slab self weight = material density x thickness x area of tributary area Beam self weight = materialdensity xbeamsize x total length of beams in tributary area Column self weight = material density x column size x column height Live load on slab =UBBL live load factor x area space within tributary area Ultimatee load = [ Total deadload x 1.4 ] + [ Total live load x 1.6 ] Ly = Longer side of slab Lx = Shorter side of slab = Beam self weight x thickness x Lx/2 = [ Beam self weight x thickness x Lx/2 ] x 2/3 = UBBL live load factor x Lx/2 = [ UBBL live load factor x Lx/2 ] x 2/3 one way / two way slab Tapezoidal shape two way slab Triangular shape one way / two way slab Tapezoidal shape two way slab Triangular shape = ∑M = 0 = ∑M = Force x Perpendicular distance
  • 17. Beam Calculation (C’/2-2’) Dead Load Slab Self-weight: 0.15m x 24kN/m3 = 3.6kN/m2 Beam Self-weight: 0.15m x 0.45m x 24kN/m3 = 1.62kN/m Brick wall Self-weight: 3.3m x 0.15m x 19kN/m3 = 9.405kN/m Dead load on Slab C-C’ /2-2’: [ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m Dead load on Slab C’-D / 2-2’: [ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m Total Dead load from C’-D: = 17.9kN/m Live Load Live load on Slab C-C’ / 2-2’: [ 1.5kN/m2 x 1.9/2 ] = 1.4kN/m Live load on Slab C’-D / 2-2’: [ 1.5kN/m2 x 1.9/2 ] = 1.4kN/m Total Dead load from C’-D: = 2.8kN/m Ultimate Load Dead Load from 2-2’: 17.9kN/m x 1.4 = 25.06kN/m Live Load from 2-2’: 2.8kN/m x 1.6 = 4.5kN/m Total Ultimate load from C’-D: = 29.6kN/m
  • 18. Beam Calculation (C-D/2’) Dead Load Slab Self-weight: 0.15m x 24kN/m3 = 3.6kN/m2 Beam Self-weight: 0.15m x 0.45m x 24kN/m3 = 1.62kN/m Brick wall Self-weight: 3.3m x 0.15m x 19kN/m3 = 9.405kN/m Dead load on Slab C-C’ /2-2’: [ 3.6kN/m2 x 1.9/2 ] ⅔ = 2.3kN/m Dead load on Slab C’-D / 2-2’: [ 3.6kN/m2 x 1.9/2 ] ⅔ = 2.3kN/m Dead load on Slab C-D / 2’-3: 3.6kN/m2 x 1.87/2 = 3.4kN/m Total Dead load from C-C’: = 16.7kN/m Total Dead load from C’-D: = 16.7kN/m Live Load Live load on Slab C-C’ / 2-2’: [ 1.5kN/m2 x 1.9/2 ] ⅔ = 0.95kN/m Live load on Slab C’-D / 2-2’: [ 1.5kN/m2 x 1.9/2 ] ⅔ = 0.95kN/m Live load on Slab C-D / 2’-3: 1.5kN/m2 x 1.87/2 = 1.4kN/m Total Dead load from C-C’: = 2.35kN/m Total Dead load from C’-D: = 2.35kN/m Live
  • 19. Ultimate Load Dead Load from C-C’: 16.7kN/m x 1.4 = 23.4kN/m Dead Load from C’-D: 16.7kN/m x 1.4 = 23.4kN/m Live Load from C-C’: 2.35kN/m x 1.6 = 3.8kN/m Live Load from C-C’: 2.35kN/m x 1.6 = 3.8kN/m Total Ultimate load from C-C’: = 27.2kN/m Total Ultimate load from C’-D: = 27.2kN/m Point load from Beam C’/2-2’ At c’/2’ = [ 29.6kN/m x 2.7 ] / 2 = 40kN Reaction force UDL to point load: From C-C’ = 27.2kN/m x 1.9 = 51.7kN From C’-D = 27.2kN/m x 1.9 = 51.7kN Use Rc as reference point: ΣM = M1 - M2 = 0 0 = (Rc x 3.8m) x [ (51.7kN x 2.85) x (40kN x 1.9m) x (51.7kN x 0.95m) ] 3.8 Rc = 272.5kN 3.8 Rc = 71.7kN ΣF = 0 RC + RD = 51.7kN + 40kN + 51.7kN RC + RD = 71.7kN Shear Force Diagram 71.7kN - 51.7kN = 20 kN 20 kN - 40 kN = -20 kN -20 kN - 51.7kN = -71.7kN 71.7kN - 71.7kN = 0 Bending moment diagram Area A: [ (71.7kN + 20kN) x 1.9 ] / 2 = 87.1kN
  • 20. Beam Calculation (C/2-3) Dead Load Slab Self-weight: 0.15m x 24kN/m3 = 3.6kN/m2 Beam Self-weight: 0.15m x 0.45m x 24kN/m3 = 1.62kN/m Brick wall Self-weight: 3.3m x 0.15m x 19kN/m3 = 9.405kN/m Dead load on Slab C-C’ / 2-2’: [ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m Dead load on Slab B-C / 2-3: [ 3.6kN/m2 x 4.57/2 ] = 8.23kN/m Total Dead load from 2-2’: = 22.7kN/m Total Dead load from 2’-3: = 19.25kN/m Live Load Live load on Slab C-C’ / 2-2’: [ 1.5kN/m2 x 1.9/2 ] = 1.425kN/m Live load on Slab B-C / 2-3: [ 1.5kN/m2 x 4.57/2 ] = 3.43kN/m Total Live load from 2-2’: = 4.85kN/m Total Live load from 2’-3: = 3.43kN/m Live 22.7kN/m 19.25kN/m 8.23kN/m 3.43kN/m 4.85kN/m 3.43kN/m
  • 21. Ultimate Load Dead Load from 2-2’: 22.7kN/m x 1.4 = 31.78kN/m Live Load from 2’-3: 19.25kN/m x 1.4 = 26.95kN/m Live Load from 2-2’: 4.85kN/m x 1.6 = 7.8kN/m Live Load from 2’-3: 3.43kN/m x 1.6 = 5.5kN/m Total Ultimate load from 2-2’: = 67.3kN/m Total Ultimate load from 2’-3: = 32.45kN/m Point load from Beam 2’/C-D/2’ At C/2’ = 71.7kN Reaction force UDL to point load: From 2-2’ = 67.3kN/m x 2.7 = 181.71kN From 2’-3 = 32.45kN/m x 1.87 = 60.7kN Use R2 as reference point: ΣM = M1 - M2 = 0 0 = (R2 x 4.57m) x [ (181.7kN x 3.22) x (71.7kN x 1.87m) x (60.7kN x 0.935m) ] 4.57 R2 = 775.91kN 3.8 R2 = 169.78kN ΣF = 0 R2 + R3 = 181.7kN + 71.7kN + 60.7kN RC + R3 = 144.32kN Shear Force Diagram 169.78kN - 181.7kN = -11.92kN - 11.92kN - 71.7kN = -83.62kN -83.62kN - 60.7kN = -144.32kN Bending moment diagram x/2.7 = 169.78/181.7 X = 2.52 Area A: 169.78 x 2.52 / 2 = 213.92kN Area B: 11.92 x 0.18 / 2 = 1.073kN Area C: 213.92 - 1.073 = 212.85kN
  • 22. Beam Calculation (C’/3-3’) Dead Load Slab Self-weight: 0.15m x 24kN/m3 = 3.6kN/m2 Beam Self-weight: 0.15m x 0.45m x 24kN/m3 = 1.62kN/m Brick wall Self-weight: 3.3m x 0.15m x 19kN/m3 = 9.405kN/m Dead load on Slab C-C’ / 3-3’: [ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m Total Dead load from 3-3’: = 14.44kN/m Live Load Live load on Slab C-C’ / 3-3’: [ 1.5kN/m2 x 1.9/2 ] = 1.425kN/m Total Dead load from 3-3’: = 1.425kN/m
  • 23. Ultimate Load Dead Load from 3-3’: 14.44kN/m x 1.4 = 20.22kN/m Live Load from 3-3’: 1.425kN/m x 1.6 = 2.28kN/m Total Ultimate load from 3-3’: = 22.5kN/m Reaction force UDL to point load: From 3-3’ = 22.5kN/m x 3.8 = 85.5kN Reaction force for each both sides: 85.5kN / 2 = 42.75kN Shear Force Diagram 42.75kN 42.75kN - 85.5 Bending moment diagram
  • 24. Beam Calculation (C-D/3) Dead Load Slab Self-weight: 0.15m x 24kN/m3 = 3.6kN/m2 Beam Self-weight: 0.15m x 0.45m x 24kN/m3 = 1.62kN/m Brick wall Self-weight: 3.3m x 0.15m x 19kN/m3 = 9.405kN/m Dead load on Slab C-D / 2’-3: [ 3.6kN/m2 x 1.87/2 ] = 3.4kN/m Dead load on Slab C-C’ / 3-3’: [ 3.6kN/m2 x 1.9/2 ] = 3.42kN/m Total Dead load from C-C’: = 17.8kN/m Total Dead load from C’-D: = 14.425kN/m Live Load Live load on Slab C-D / 2’-3: [ 1.5kN/m2 x 1.87/2 ] = 1.4025kN/m Live load on Slab C-C’ / 3-3’: [ 1.5kN/m2 x 1.9/2 ] = 1.425kN/m Total Dead load from C-C’: = 2.825kN/m Total Dead load from C’-D: = 1.4kN/m Live
  • 25. Ultimate Load Dead Load from C-C’: 19.3kN/m x 1.4 = 27kN/m Live Load from C’-D: 15.9kN/m x 1.4 = 22.3kN/m Live Load from C-C’: 3.45kN/m x 1.6 = 5.52kN/m Live Load from C’-D: 2.025kN/m x 1.6 = 3.24kN/m Total Ultimate load from C-C’: = 35.52kN/m Total Ultimate load from C’-D: = 25.54kN/m Point load from Beam C’/3-3’ At C’/3 = 42.75kN Reaction force UDL to point load: From C-C’ = 35.52kN/m x 2.7 = 87.8kN From C’-D= 25.54kN/m x 1.87 = 47.8kN Use R2 as reference point: ΣM = M1 - M2 = 0 0 = (Rc x 4.57m) x [ (87.8kN x 3.22) x (42.75kN x 1.87m) x (47.8kN x 0.935m) ] 4.57 Rc = 407.35kN 3.8 Rc = 89.13kN ΣF = 0 RC + RD = 87.8kN + 42.75kN + 47.8kN RC + RD = 89.22kN Shear Force Diagram 89.13kN - 87.8kN = 1.33kN 1.33kN - 42.75kN = -41.42kN -41.42kN - 47.8kN = -89.22kN Bending moment diagram Area: [ (89.13kN + 1.33kN) x 2.7 ] / 2 = 122.12kN
  • 28. 30kN 138.72kN 122.54kN - 3.36kN 2ev 20.75kN 85.6kN G 50.86kN 3.17kN 15.9kN 22.78kN 493.684kN 691.15kN 51.06kN 21.2kN 11.39kN 83.65kN 133.84kN 824.99kN Ground Floor Beams 2.16kN/m x (13.9m) = Ground Floor Bick wall 9.98kN/m x (13.9m) = Ground Floor Slab 3.6kN/m2 x (34.04m2) = Ground Floor Column - = Ground Floor Bick wall 2ev First Floor Beams 1.62kN/m x (12.7m) = Ground Floor Bick wall 9.41kN/m x (9.1m) = Ground Floor Slab 3.6kN/m2 x (14.13m2) = Ground Floor Column - = Roof Roof beam 1.26kN/m x (12.6m) = Ground Floor Area 1kN/m2 x (22.78m2) = Total Dead load = Apply 1.4 dead load factor = Ground Floor Slab 1.5kN/m2 x (34.04m2) = First Floor Slab 1.5kN/m2 x (14.13m2) = Roof Slab 0.5kN/m2 x (22.78m2) = Total Dead load = Apply 1.6 live load factor = Total Ultimate load = Tributary area method load analysis on column C3 GROUND FLOOR STRUCTURAL PLAN FIRST FLOOR STRUCTURAL PLAN ROOF LEVEL STRUCTURAL PLAN COLUMN C3 COLUMN C4 COLUMN C3 COLUMN C4 COLUMN C3 COLUMN C4 Dead load acting on column C3 Live load acting on column C3
  • 29. 30kN 138.72kN 122.54kN - 3.36kN 2ev 20.75kN 91.28kN G 50.86kN 3.17kN 11.72kN 8.61kN 480.33kN 672.5kN 51.06kN 21.2kN 4.305kN 76.6kN 122.6kN 795.1kN Ground Floor Beams 2.16kN/m x (13.9m) = Ground Floor Bick wall 9.98kN/m x (13.9m) = Ground Floor Slab 3.6kN/m2 x (34.04m2) = Ground Floor Column - = Ground Floor Bick wall 2ev First Floor Beams 1.62kN/m x (12.7m) = Ground Floor Bick wall 9.41kN/m x (9.7m) = Ground Floor Slab 3.6kN/m2 x (14.13m2) = Ground Floor Column - = Roof Roof beam 1.26kN/m x (9.3m) = Ground Floor Area 1kN/m2 x (8.61m2) = Total Dead load = Apply 1.4 dead load factor = Ground Floor Slab 1.5kN/m2 x (34.04m2) = First Floor Slab 1.5kN/m2 x (14.13m2) = Roof Slab 0.5kN/m2 x (8.61m2) = Total Dead load = Apply 1.6 live load factor = Total Ultimate load = Tributary area method load analysis on column C4 GROUND FLOOR STRUCTURAL PLAN FIRST FLOOR STRUCTURAL PLAN ROOF LEVEL STRUCTURAL PLAN COLUMN C3 COLUMN C4 COLUMN C3 COLUMN C4 COLUMN C3 COLUMN C4 Dead load acting on column C3 Live load acting on column C3
  • 30. BEAM ANALYSIS WONG WAN JIUAN 0327173
  • 42. COLUMN ANALYSIS WONG WAN JIUAN 0327173
  • 65. BEAM ANALYSIS CHIN VIN YAN 0320311
  • 86. Beam C/ 4-5 Dead Load Beam self-weight: 0.15m X 0.6 X 24kN/m3 = 2.16kN/m Brick wall self-weight: 3.5m X 0.15m X 19kN/m3 = 9.98kN/m Slab self-weight: 0.15m X 24kN/m3 = 3.6kN/m Dead load on Slab B’-C/ 4-5: 3.6kN/m3 X (1.8m ÷ 2) = 3.24kN/m Dead load on Slab C-D/ 4-5: 3.6kN/m2 X (4.57m ÷ 2) 2/3 = 5.48kN/m Total dead load: 3.24kN/m + 5.48kN/m + 2.16kN/m + 9.98kN/m + 3.6kN/m = 24.46kN/m Live Load Live load factor for detached house: 1.5kN/m2 Live load on Slab B’-C/ 4-5: 1.5kN/m2 X (1.8m ÷ 2) = 1.35kN/m Live load on Slab C-D/ 4-5: 1.5kN/m2 X (4.57m ÷ 2) = 2.29kN/m Total live load: 1.35kN/m + 2.29kN/m = 3.64kN/m
  • 87. Ultimate Load Total dead load: 24.46kN/m X 1.4 = 34.24kN/m Total live load: 3.64kN/m X 1.6 = 5.824kN/m Ultimate load 40.064kN/m Reaction Force (Ultimate load X Total length) ÷ 2 = (40.064 X 4.57) ÷ 2 = 183.12 ÷ 2 = 91.55kN Bending Moment Diagram Area A: (91.55 X 2.29) (1/2) = 104.6kN
  • 88. Beam D’-E/ 4’ Dead Load Beam self-weight: 0.15m X 0.6 X 24kN/m3 = 2.16kN/m Slab self-weight: 0.15m X 24kN/m3 = 3.6kN/m Dead load on Slab D’-E/ 4’-4: 3.6kN/m3 X (2.08m ÷ 2) = 3.74kN/m Dead load on Slab D’-E/ 4’-5: 3.6kN/m2 X (2.37m ÷ 2) = 4.27kN/m Total dead load: 3.74kN/m + 4.27kN/m + 2.16kN/m + 3.6kN/m = 13.77kN/m Live Load Live load factor for detached house: 1.5kN/m2 Live load on Slab D’-E/ 4’-4: 1.5kN/m2 X (2.08m ÷ 2) = 1.56kN/m Live load on Slab D’-E/ 4’-5: 1.5kN/m2 X (2.37m ÷ 2) = 1.78kN/m Total live load: 1.56kN/m + 1.78kN/m = 3.34kN/m
  • 89. Ultimate Load Total dead load: 13.77kN/m X 1.4 = 19.28kN/m Total live load: 3.34kN/m X 1.6 = 5.34kN/m Ultimate load 24.62kN/m Reaction Force (Ultimate load X Total length) ÷ 2 = (24.62 X 2.37) ÷ 2 = 58.35 ÷ 2 = 29.17kN Bending Moment Diagram Area A: (29.17 X 1.19) (1/2) = 17.36kN
  • 90. Dead Load Beam self-weight: 0.15m X 0.6m X 24kN/m3 = 2.16kN/m Dead load on Slab 4-5/ D’-D: (3.6kN/m2 X 4.57m ÷ 2) 2/3 = 5.48kN/m Dead load on Slab 4-4’/ D’-E: (3.6kN/m2 X 2.08m ÷ 2) 2/3 = 2.49kN/m Dead load on Slab 4’-5 / D’-E: (3.6kN/m2 X 2.37m ÷ 2) 2/3 = 2.85kN/m Total dead load from 4-4’/ D’-E: 5.48kN/m + 2.49kN/m + 2.16kN/m = 10.13kN/m Total dead load from 4’-5 / D’-E: 5.48kN/m + 2.85kN/m + 2.16kN/m = 10.49kN/m Beam D’/ 4-5 Live Load Live load factor for detached house: 1.5kN/m2 Live load on Slab 4-5/ D’-D: (1.5N/m2 X 4.57m ÷ 2) 2/3 = 2.29kN/m Live load on Slab 4-4’ / D’-E: (1.5kN/m2 X 2.08m ÷ 2) 2/3 = 1.04kN/m Live load on Slab 4’-5 / D’-E: (1.5kN/m2 X 2.37m ÷ 2) 2/3 = 1.19kN/m Total live load from 4-4’/ D’-E: 2.29kN/m + 2.49kN/m = 4.78kN/m Total live load from 4’-5 / D’-E: 2.29kN/m + 1.19kN/m = 3.48kN/m
  • 91. Ultimate Load Total dead load from 4-4’/ D’-E: 10.13kN/m X 1.4 = 14.18kN/m Total live load from 4-4’/ D’-E: 4.78kN/m X 1.6 = 7.65kN/m Ultimate load from 4-4’/ D’-E 21.83kN/m Total dead load from 4’-5 / D’-E: 10.49kN/m X 1.4 = 14.69kN/m Total live load from 4’-5 / D’-E: 3.48kN/m X 1.6 = 5.57kN/m Ultimate load from 4’-5 / D’-E 20.26kN/m Point load from Beam D’-E/ 4’ at D’/ 4’ = 29.17kN Reaction Force UDL to Point Load: From 4-4’: 21.83kN/m x 2.08M = 45.41kN From 4’-5: 20.26kN/m x 2.49M = 50.45kN Use R5 as reference point: ∑M = 0 ∑M = M1 – M2 (R4 X 4.57m) – (45.41kN X 3.53m) – (29.17kN x 2.49M) - (50.45kN X 1.2m) = 0 (R4 X 4.57m) = 160.3kN + 72.63kN + 60.54kN (R4 X 4.57m) = 293.47kN R4 = 64.22kN ∑F = 0 R4 + R5 = 45.41kN + 29.17kN + 50.45kN 64.22kN + R5 = 125.03kN R5 = 60.81kN Shear Force Diagram 64.22kN – 45.41kN =18.81kN 18.81kN – 29.17kN = -10.36kN -10.36kN – 50.45kN = -60.81kN Bending Moment Diagram Area: [(64.22 + 18.81) X 2.08] ÷ 2 = 86.35kN
  • 92. Beam C-E/ 4 Dead Load Beam self-weight: 0.15m X 0.6m X 24kN/m3 = 2.16kN/m Wall self-weight: 3.5m X 0.15m X 19kN/m3 = 9.98kN/m Dead load on Slab C-E/ 4-3: 3.6kN/m2 X (4.57m ÷ 2) = 8.23kN/m Dead load on Slab C-D’/ 4-5: 3.6kN/m2 X (4.57m ÷ 2) = 8.23kN/m Dead load on Slab D’-E/ 4-4’: 3.6kN/m2 X (2.08m ÷ 2) = 3.74kN/m Total dead load from C-D’/ 4: 8.23kN/m + 2.16kN/m + 9.98kN/m + 8.23kN/m = 28.6kN/m Total dead load from D’-E / 4: 8.23kN/m + 3.74kN/m + 2.16kN/m = 14.13kN/m Live Load Live load factor for detached house: 1.5kN/m2 Live load on Slab C-E/ 4-3: 1.5N/m2 X (4.57m ÷ 2) = 3.43kN/m Live load on Slab C-D’/ 4-5: 1.5kN/m2 X (4.57m ÷ 2) = 3.43kN/m Live load on Slab D’-E/ 4-4’: 1.5kN/m2 X (2.08m ÷ 2) = 1.56kN/m Total live load from C-D’/ 4: 3.43kN/m + 3.43kN/m = 6.86kN/m Total live load from D’-E / 4: 3.43kN/m + 1.56kN/m = 4.99kN/m
  • 93. Ultimate Load Total dead load from C-D’/ 4: 28.6kN/m X 1.4 = 40.04kN/m Total live load from C-D’/ 4: 6.86kN/m X 1.6 = 10.98kN/m Ultimate load from C-D’/ 4 51.02kN/m Total dead load from D’-E / 4: 14.13kN/m X 1.4 = 19.78kN/m Total live load from D’-E / 4: 4.99kN/m X 1.6 = 7.98kN/m Ultimate load from D’-E / 4 27.76kN/m Point load from Beam 4-5/ D’ at D’/ 4 = 68.31kN Reaction Force UDL to Point Load: From C-D’: 51.02kN/m x 6.23M = 317.85kN From D’-E: 27.76kN/m x 2.37M = 65.79kN Use RE as reference point: ∑M = 0 ∑M = M1 – M2 (Rc’ X 8.6m) – (317.85kN X 3.12m) – (68.31kN x 2.37M) - (65.79kN X 1.19m) = 0 (Rc’ X 8.6m) = 991.69kN + 161.89kN + 78.29kN (Rc’ X 8.6m) = 1231.87kN Rc’ = 143.24kN ∑F = 0 Rc’ + RE = 317.85kN + 68.31kN + 65.79kN 143.24kN + RE = 451.95kN RE = 308.71kN Shear Force Diagram 143.24kN – 317.85kN = -174.61kN -174.61kN – 68.31kN = -242.92kN -242.92kN – 65.79kN = -308.71kN Bending Moment Diagram
  • 95. Live load factor for detached house = 1.5kN/m2 Ground floor height: = 3.5m First floor height: = 3.3m Slab self-weight: 0.15m X 24kN/m3 = 3.6kN/m2 Beam self-weight: Ground floor: 0.15 X 0.6m X 24kN/m3 = 2.16kN/m First floor: 0.15m X 0.45m X 24kN/m3 = 1.62kN/m Roof: 0.15m X 0.35m X 24kN/m3 = 1.26kN/m Brick wall self-weight: Ground floor 3.5m X 0.15m X 19 kN/m3 = 9.98kN/m First floor: 3.3m X 0.15m X 19kN/m3 = 9.41kN/m Column self-weight: Ground floor: 3.5m X 0.2m X 0.2m X 24kN/m3 = 3.36kN First floor: 3.3m X 0.2m X 0.2m X 24kN/m3 = 3.17kN Columns’ calculation
  • 96. Dead Load acting on Column B-2 Ground floor Beams 5.67m X 2.16kN/m 12.15kN Brick wall 5.67m X 9.98kN/m 56.6kN Slab 12.7m2 X 3.6kN/m2 45.75kN Column - 3.36kN First floor Beams 5.67m X 1.62kN/m 9.19kN Brick wall 5.67m X 9.41kN/m 53.35kN Slab 12.7m2 X 3.6kN/m2 45.72kN Column - 3.17kN Roof Roof beams 5.67m X 1.26kN/m 7.14kN Area 12.7m2 X 1.0kN/m2 12.7kN Total dead load 249.2kN Apply 1.4 dead load factor 348.88kN Live Load acting on Column B-2 Ground floor Slab 12.7m2 X 1.5kN/m2 19.05kN First floor Slab 12.7m2 X 1.5kN/m2 19.05kN Roof Roof 12.7m2 X 0.5kN/m2 6.35kN Total live load 44.45kN Apply 1.6 live load factor 71.12kN Total Ultimate load 348.88kN + 71.12kN 420kN