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Structural analysis of bungalow beams and columns
1. TAYLORβS UNIVERSITY
STRUCTURAL ANALYSIS OF A BUNGALOW
PROJECT 2
BUILDING STRUCTURE
ARC 2522 / 2523
Tutor: Mrs. Norita
Student name and ID :
1. Louis De Rozario
1. Roy Yiek Chin Hieng
1. Tristan Yu Tze - Xien
0327136
0317726
0317729
1
12. INTRODUCTION
A CONTEMPORARY DESIGN TWO STOREY BUNGALOW WITH A BUILT UP AREA OF 500 Sq METER. GROUND FLOOR
CONSISTS OF LIVING HALL, DINING AREA, KITCHEN, ONE BEDOOM, STORE AND TOILET. FIRST FLOOR CONSISTS OF THREE
BEDROOM WITH ATTACH BATHROOM, BALCONY, STORE AND AN OPEN AREA.
IN A GROUP OF THREE, EACH OF US DIVIDE ZONING AREA TO CARRY OUT STRUCTURAL FRAMING CALCULATION. EACH
OF US ANALYSE AT LEAST 6 BEAMS AND 3 COLUMNS AT SELECTED ZONING AREA.
INDIVIDUAL ZONING AREA
PART 2
LOUIS DE ROZARIO
PART 1
ROY YIEK
PART 3
TRISTAN YU
12
13. PART 2
LOUIS DE ROZARIO
PART 1
ROY YIEK
PART 3
TRISTAN YU
13
14. ROY YIEK CHIN HIENG
0317726
CHOOSEN BEAMS
1. FIRST FLOOR 4/A-E
2. FIRST FLOOR A/1-3
3. FIRST FLOOR B/1-3
4. FIRST FLOOR D/1-3
5. FIRST FLOOR 3/A-E
6. FIRST FLOOR 3/E-H
14
17. 1. BEAM (FIRST FLOOR 4/A-E)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
1.BEAM (FIRST FLOOR 4/A-E)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
ROY YIEK CHIN HIENG 0317726
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18. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 4/A-E )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 4/A-C )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/3-4
- GRID C-E/3-4
- GRID A-E/4-5
β’ LIVE LOAD FROM SLAB :
- GRID A-C/3-4
- GRID C-E/3-4
- GRID A-E/4-5
β’ POINT LOAD AT POINT C/4
1.BEAM (FIRST FLOOR 4/A-E)
BEAM (FIRST FLOOR 4/A-E) CARRIES:
3m 2.6m
A C EDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 4/A-E)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 4/A-C)
DEAD LOAD FROM SLAB (A-C/3-4)
DEAD LOAD FROM SLAB (C-E/3-4)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.25m/2
= 4.05Kn/m
4.05Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.25m/2
= 4.05Kn/m
4.05Kn/m
ROY YIEK CHIN HIENG 0317726
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19. 1.BEAM (FIRST FLOOR 4/A-E)
3m 2.6m
A C EDEAD LOAD FROM SLAB (A-E/4-5)
7.11Kn/m
33.6Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 3.95m/2
= 7.11Kn/m
17.64Kn/m
ULTIMATE DEAD LOAD
A-C : 24Kn/m x 1.4 = 33.6Kn/m
C-E : 12.6Kn/m x 1.4 = 17.64Kn/m
LIVE LOAD FROM SLAB (A-C/3-4)
LIVE LOAD FROM SLAB (C-E/3-4)
Toilet = 2.0Kn/m2 2.25Kn/m
(Toilet factor) x (Lx/2)
= 2.0Kn/m2 x 2.25m/2
= 2.25Kn/m
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2.25m/2
= 1.69Kn/m
Bedroom = 1.5Kn/m2
TOTAL DEAD LOAD
A-C : (1.44+11.4+4.05+7.11)Kn/m = 24Kn/m
C-E : ( 1.44+4.05+7.11)Kn/m = 12.6Kn/m
1.69Kn/m
LIVE LOAD FROM SLAB (A-E/4-5)
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 3.95m/2
= 2.96Kn/m
Bedroom = 1.5Kn/m2 2.96Kn/m
ROY YIEK CHIN HIENG 0317726
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20. 1.BEAM (FIRST FLOOR 4/A-E)
8.34Kn/m
7.44Kn/mULTIMATE LIVE LOAD
A-C : 5.21Kn/m x 1.6 = 8.34Kn/m
C-E : 4.65Kn/m x 1.6 = 7.44Kn/m
TOTAL LIVE LOAD
A-C : (2.25+2.96)Kn/m = 5.21Kn/m
C-E : (1.69+2.96)Kn/m = 4.65Kn/m
3m 2.6m
A C E
ULTIMATE LOAD
A-C : (33.6+8.34) = 41.94Kn/m
C-E : (17.64+7.44) = 25.08Kn/m
Point load at C/4 : 33.47 Kn (refer to page 23)
41.94Kn/m
25.08Kn/m
Point load from C/4
33.47Kn
ROY YIEK CHIN HIENG 0317726
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21. 1.BEAM (FIRST FLOOR 4/A-E)
41.94Kn/m
25.08Kn/m
3m 2.6m
A C E
33.47Kn
Ra Re
M = 0
= (5.6)(Ra) β (125.82)(4.1) β (33.47)(2.6) β (65.21)(1.3)
= 5.6Ra β 515.86 β 87.02 β 84.77
= 5.6Ra β 687.65
5.6Ra = 687.65 Kn
Ra = 122.79 Kn
F = 0
= Re + Ra β (41.94 x 3) β 33.47 β (25.08 x 2.6)
= Re + 122.79 β 224.5
= Re β 101.71Kn
Re = 101.71Kn
ROY YIEK CHIN HIENG 0317726
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22. 1.BEAM (FIRST FLOOR 4/A-E)
41.94Kn/m
25.08Kn/m
3m 2.6m
A C E
33.47Kn
Ra= 122.79Kn Re= 101.71Kn
122.79 Kn
- 36.5 Kn
0 Kn -3.03 Kn
-101.71 Kn
0 Kn
(3.03 x 0.072 / 2) + (36.5 x 2.6)
+ (65.21 x 2.6 / 2)
= 179.89Kn/m
= 180Kn/m
X/3 = 3.03/(3.03+122.79)
X = 0.072
3.03
122.79
3
x
180Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
122.79 x (3 - 0.072) / 2
= 179.76Kn/m
=180Kn/m
ROY YIEK CHIN HIENG 0317726
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23. SECONDARY BEAM (FIRST FLOOR C/3-4)
SECONDARY BEAM (FIRST FLOOR C/3-4)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
ROY YIEK CHIN HIENG 0317726
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24. SECONDARY BEAM (FIRST FLOOR C/3-4)
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID C/3-4 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID C/3-4 )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/3-4
- GRID C-E/3-4
β’ LIVE LOAD FROM SLAB :
- GRID A-C/3-4
- GRID C-E/3-4
2.25m
3 4DEAD LOAD FROM BEAM SELF WEIGHT
(GRID C/3-4)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 4/A-C)
DEAD LOAD FROM SLAB (A-C/3-4)
DEAD LOAD FROM SLAB (C-E/3-4)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.25m/2 x 2/3
= 2.7Kn/m
2.7Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.25m/2 x 2/3
= 2.7 Kn/m
2.7Kn/m
SECONDARY BEAM (FIRST FLOOR C/3-4)
ROY YIEK CHIN HIENG 0317726
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25. 2.25m
3 4TOTAL DEAD LOAD
25.54Kn/m
1.5Kn/m
3-4 : (1.44+11.4+2.7+2.7)Kn/m = 18.24Kn/m
1.13Kn/m
SECONDARY BEAM (FIRST FLOOR C/3-4)
ULTIMATE DEAD LOAD
18.24Kn/m x 1.4 = 25.54Kn/m
LIVE LOAD FROM SLAB (A-C/3-4)
LIVE LOAD FROM SLAB (C-E/3-4)
Toilet = 2.0Kn/m2
(Toilet factor) x (Lx/2) x 2/3
= 2.0Kn/m2 x 2.25m/2 x 2/3
= 1.5Kn/m
(Bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 2.25m/2 x 2/3
= 1.13Kn/m
Bedroom = 1.5Kn/m2
TOTAL LIVE LOAD
3-4 : (1.5+1.13)Kn/m = 2.63Kn/m
ULTIMATE LIVE LOAD
2.63Kn/m x 1.6 = 4.21Kn/m
4.21Kn/m
ULTIMATE LOAD
29.75Kn/m
25.54Kn/m + 4.21Kn/m = 29.75Kn/m
ROY YIEK CHIN HIENG 0317726
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26. 29.75Kn/m
2.25m
3 4
Ra Rb
Ra = POINT LOAD AT C/4
=(29.75Kn/m x 2.25m) / 2
= 33.47Kn
ROY YIEK CHIN HIENG 0317726
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27. 2. BEAM (FIRST FLOOR A/1-3)
2. BEAM (FIRST FLOOR A/1-3)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
ROY YIEK CHIN HIENG 0317726
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28. 2. BEAM (FIRST FLOOR A/1-3)
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID A/1-3 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID A/1-3 )
β’ DEAD LOAD FROM SLAB :
- GRID A-B/1-2
- GRID A-B/2-3
β’ LIVE LOAD FROM SLAB :
- GRID A-B/1-2
- GRID A-B/2-3
β’ POINT LOAD AT POINT A/2
2. BEAM (FIRST FLOOR A/1-3) CARRIES:
2.59m 1.11m
1 2 3DEAD LOAD FROM BEAM SELF WEIGHT
(GRID A/1-3)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID A/1-3)
DEAD LOAD FROM SLAB (A-B/1-2)
DEAD LOAD FROM SLAB (A-B/2-3)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.1m/2
= 3.78Kn/m
3.78Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 1.11m/2 x 2/3
= 1.33Kn/m
1.33Kn/m
ROY YIEK CHIN HIENG 0317726
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29. 2. BEAM (FIRST FLOOR A/1-3)
2.59m 1.11m
1 2 3
TOTAL DEAD LOAD
1-2 : (1.44 + 11.4 + 3.78) Kn/m = 16.62Kn/m
2-3 : (1.44 + 11.4 + 1.33) Kn/m = 14.17Kn/m 23.27Kn/m
19.84Kn/m
ULTIMATE DEAD LOAD
1-2 : 16.62Kn/m x 1.4 = 23.27Kn/m
2-3 : 14.17Kn/m x 1.4 = 19.84Kn/m
LIVE LOAD FROM SLAB (A-B/1-2)
LIVE LOAD FROM SLAB (A-B/2-3)
2.1Kn/m
Toilet = 2.0Kn/m2
(Toilet factor) x (Lx/2)
= 2.0Kn/m2 x 2.1m/2
= 2.1Kn/m
0.56Kn/mBedroom = 1.5Kn/m2
(Bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 1.11m/2 x 2/3
= 0.56Kn/m
3.36Kn/m
0.9Kn/m
TOTAL LIVE LOAD
1-2 : 2.1Kn/m
2-3 : 0.56Kn/m
1-2 : 2.1Kn/m x 1.6 = 3.36Kn/m
2-3 : 0.56Kn/m x 1.6 = 0.9kn/m
ULTIMATE DEAD LOAD
ULTIMATE LOAD
1-2 : (23.27+3.36) = 26.63Kn/m
2-3 : (19.84+0.9) = 20.74Kn/m
Point load at A/2 : 29.26 Kn (refer to page 32)
26.63Kn/m
20.74Kn/m
Point load from A/2
29.26Kn
ROY YIEK CHIN HIENG 0317726
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31. 26.63Kn/m
20.74Kn/m
2.59m 1.11m
1 2 3
29.26Kn
R1= 57.19Kn R3= 64.06Kn
57.19 Kn
-41.06Kn
0 Kn -11.80 Kn
--64.06Kn
0 Kn
(11.8 x 0.44 / 2) + (41.06 x
1.11) + (23 x 1.11 / 2)
= 60.94Kn/m
=61 Kn/m
X/2.59 = 11.8/(11.8+57.19)
X = 0.44
11.8
57.19
2.59
x
61Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
2. BEAM (FIRST FLOOR A/1-3)
(57.19 x (2.59 β 0.44) / 2
= 61.48Kn/m
=61 Kn/m
ROY YIEK CHIN HIENG 0317726
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32. SECONDARY BEAM (FIRST FLOOR 2/A-B)
SECONDARY BEAM (FIRST FLOOR 2/A-B)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
ROY YIEK CHIN HIENG 0317726
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33. SECONDARY BEAM (FIRST FLOOR 2/A-B)
SECONDARY BEAM (FIRST FLOOR 2/A-B)
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 2/A-B )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 2/A-B )
β’ DEAD LOAD FROM SLAB :
- GRID A-B/1-2
- GRID A-B/2-3
β’ LIVE LOAD FROM SLAB :
- GRID A-B/1-2
- GRID A-B/2-3
2.1m
A BDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 2/A-B)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 4/A-C)
DEAD LOAD FROM SLAB (A-B/1-2)
DEAD LOAD FROM SLAB (A-B/2-3)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.1m/2 x 2/3
= 2.52Kn/m
2.52Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 1.11m/2
= 2Kn/m
2Kn/m
ROY YIEK CHIN HIENG 0317726
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34. 2.1m
A B
TOTAL DEAD LOAD
AβB : 17.36Kn/m x 1.4 = 24.3 Kn/m
24.3Kn/m
ULTIMATE DEAD LOAD
LIVE LOAD FROM SLAB (A-B/1-2)
LIVE LOAD FROM SLAB (A-B/2-3)
1.4Kn/mToilet = 2.0Kn/m2
(Toilet factor) x (Lx/2) x 2/3
= 2.0Kn/m2 x 2.1m/2 x 2/3
= 1.4Kn/m
Bedroom = 1.5Kn/m2
(bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 1.11m/2
= 0.83Kn/m
3.57Kn/m
ULTIMATE LOAD
A-B : 24.3Kn/m + 3.57Kn/m = 27.87 Kn/m
27.87Kn/m
SECONDARY BEAM (FIRST FLOOR 2/A-B)
A-B : (1.44 + 11.4 + 2.52 + 2) Kn/m = 17.36Kn/m
0.83Kn/m
TOTAL LIVE LOAD
AβB : 2.23Kn/m x 1.6 = 3.57Kn/m
ULTIMATE LIVE LOAD
A-B : (1.4 + 0.83) Kn/m = 2.23Kn/m
ROY YIEK CHIN HIENG 0317726
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35. SECONDARY BEAM (FIRST FLOOR 2/A-B)
2.1m
A B
27.87Kn/m
Ra Rb
Point load at A/2 and B/2 = Ra = Rb
Ra = 27.87Kn/m x 2.1m/2
= 29.26 Kn
Point load from B/2
= 29.26Kn
Point load from A/2
= 29.26Kn
Point load from A/2 Point load from B/2
ROY YIEK CHIN HIENG 0317726
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36. 3. BEAM (FIRST FLOOR B/1-3)
3. BEAM (FIRST FLOOR B/1-3)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
ROY YIEK CHIN HIENG 0317726
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37. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID B/1-3 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID B/1-2 )
β’ DEAD LOAD FROM SLAB :
- GRID A-B/1-2
- GRID A-B/2-3
- GRID B-D/1-3
β’ LIVE LOAD FROM SLAB :
- GRID A-B/1-2
- GRID A-B/2-3
- GRID B-D/1-3
β’ POINT LOAD AT B/2
2.59m
1 3DEAD LOAD FROM BEAM SELF WEIGHT
(GRID B/1-3)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID B/1-2)
DEAD LOAD FROM SLAB (A-B/1-2)
DEAD LOAD FROM SLAB (A-B/2-3)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.1m / 2
= 3.78Kn/m
3.78Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 1.11m / 2 x 2/3
= 1.33 Kn/m
1.33Kn/m
BEAM (FIRST FLOOR B/1-3) CARRIES:
2
1.11m
3. BEAM (FIRST FLOOR B/1-3)
ROY YIEK CHIN HIENG 0317726
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38. 2.59m
3
4.68Kn/m
29.82Kn/m
DEAD LOAD FROM SLAB (B-D/1-3)
LIVE LOAD FROM SLAB (A-B/1-2)
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.6m / 2
= 4.68Kn/m
0.56Kn/m
2
1.11m
3. BEAM (FIRST FLOOR B/1-3)
1
TOTAL DEAD LOAD
1β2 : 21.3Kn/m x 1.4 = 29.82 Kn/m
2-3 : 7.45Kn/m x 1.4 = 10.43 Kn/m
ULTIMATE DEAD LOAD
1-2 : (1.44 + 11.4 + 3.78 + 4.68)Kn/m = 21.3 Kn/m
2-3 : (1.44 + 1.33 + 4.68) = 7.45 Kn/m 10.43Kn/m
Toilet = 2.0 Kn/m2
(Toilet factor) x (Lx/2)
= 2.0Kn/m2 x 2.1m / 2
= 2.1Kn/m
2.1Kn/m
LIVE LOAD FROM SLAB (A-B/2-3)
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 1.11m /2 x 2/3
= 0.56Kn/m
LIVE LOAD FROM SLAB (B-D/1-3)
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2.6m /2
= 1.95Kn/m
1.95Kn/m
ROY YIEK CHIN HIENG 0317726
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39. 3. BEAM (FIRST FLOOR B/1-3)
2.59m
3
6.48Kn/m
2
1.11m
1
TOTAL LIVE LOAD
1β2 : 4.05Kn/m x 1.6 = 6.48 Kn/m
2-3 : 2.51 Kn/m x 1.6 = 4.02 Kn/m
ULTIMATE LIVE LOAD
1-2 : (2.1 + 1.95)Kn/m = 4.05 Kn/m
2-3 : (0.56 + 1.95) = 2.51 Kn/m 4.02Kn/m
1β2 : 29.82Kn/m + 6.48 Kn/m = 36.3Kn/m
2-3 : 10.43Kn/m + 4.02 Kn/m = 14.45Kn/m
Point load at B/2 = 29.26Kn (refer to page 42)
ULTIMATE LOAD 36.3Kn/m
14.45Kn/m
Point load from B/2
29.26Kn
ROY YIEK CHIN HIENG 0317726
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41. 72.45 Kn
-50.83Kn
0 Kn
-21.56 Kn
-66.87Kn
0 Kn
(21.56 x 0.59/ 2) + (50.83 x
1.11) + (16.04 x 1.11 / 2)
= 71.68 Kn/m
= 72 Kn/m
X/2.59 = 21.56/(21.56+72.45)
X = 0.59
21.56
72.45
2.59
x
72Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
72.45 x (2.59-0.59)/ 2
= 72.45 Kn/m
= 72 Kn/m
2.59m
32 1.11m
1
36.3Kn/m
14.45Kn/m
Point load from B/2
29.26Kn
R1
=72.45Kn
R3
=66.87Kn
3. BEAM (FIRST FLOOR B/1-3)
ROY YIEK CHIN HIENG 0317726
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42. 4. BEAM (FIRST FLOOR D/1-3)
FIRST FLOOR BEAM &
COLUMN LAYOUT
4.BEAM (FIRST FLOOR D/1-3)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
FIRST FLOOR PLAN
ROY YIEK CHIN HIENG 0317726
42
43. 4.BEAM (FIRST FLOOR D/1-3)
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID D/1-3 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID D/1-2 )
β’ DEAD LOAD FROM SLAB :
- GRID B-D/1-3
- GRID D-F/1-3
β’ LIVE LOAD FROM SLAB :
- GRID B-D/1-3
- GRID D-F/1-3
2.59m
1 3DEAD LOAD FROM BEAM SELF WEIGHT
(GRID D/1-3)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID D/1-2)
DEAD LOAD FROM SLAB (B-D/1-3)
DEAD LOAD FROM SLAB (D-F/1-3)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.6m / 2
= 4.68Kn/m
4.68Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.15m / 2
= 3.87 Kn/m
3.87Kn/m
BEAM (FIRST FLOOR D/1-3) CARRIES:
2
1.11m
ROY YIEK CHIN HIENG 0317726
43
44. 4.BEAM (FIRST FLOOR D/1-3)
2.59m
3
29.95Kn/m
LIVE LOAD FROM SLAB (B-D/1-3)
1.61Kn/m
2
1.11m
1TOTAL DEAD LOAD
1β2 : 21.39Kn/m x 1.4 = 29.95Kn/m
2-3 : 9.99Kn/m x 1.4 = 13.99 Kn/m
ULTIMATE DEAD LOAD
1-2 : (1.44 + 11.4 + 3.87 + 4.68)Kn/m = 21.39 Kn/m
2-3 : (1.44 + 4.68 + 43.87) = 9.99 Kn/m
13.99Kn/m
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2.6m / 2
= 1.95Kn/m
1.95Kn/m
LIVE LOAD FROM SLAB (D-F/1-3)
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2.15m /2
= 1.61Kn/m
5.7Kn/m
TOTAL LIVE LOAD
1β3 : 3.56 Kn/m x 1.6 = 5.7 Kn/m
ULTIMATE LIVE LOAD
1-3 : (1.95 + 1.61)Kn/m = 3.56 Kn/m
1β2 : 29.95Kn/m + 5.7Kn/m = 35.65Kn/m
2-3 : 13.99 Kn/m + 5.7Kn/m = 19.69Kn/m
ULTIMATE LOAD
19.69Kn/m
35.65Kn/m
ROY YIEK CHIN HIENG 0317726
44
46. 65.4 Kn
0 Kn
-29.52 Kn
-51.55Kn
0 Kn
(29.52 x 0.81/ 2) + (29.52 x
1.11) + (22.03 x 1.11 / 2)
= 56.95 Kn/m
= 57 Kn/m
X/2.59 = 29.52/(29.52+65.4)
X = 0.81
29.52
65.4
2.59
x
58Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
65.4 x (2.59-0.81)/ 2
= 58.21 Kn/m
= 58 Kn/m
2.59m
32
1.11m
1
36.65Kn/m
19.69Kn/m
R1
=65.4Kn
R3
=51.55Kn
4.BEAM (FIRST FLOOR D/1-3)
Difference less than 5.
ROY YIEK CHIN HIENG 0317726
46
47. 5. BEAM (FIRST FLOOR 3/A-E)
FIRST FLOOR BEAM &
COLUMN LAYOUT
5.BEAM (FIRST FLOOR 3/A-E)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
FIRST FLOOR PLAN
ROY YIEK CHIN HIENG 0317726
47
48. 5.BEAM (FIRST FLOOR 3/A-E)
5. BEAM (FIRST FLOOR 3/A-E) CARRIES :
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 3/A-E )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 3/A-E )
β’ DEAD LOAD FROM SLAB :
- GRID A-B/2-3
- GRID A-C/3-4
- GRID B-D/1-3
- GRID C-E/3-4
- GRID D-E/1-3
β’ LIVE LOAD FROM SLAB :
- GRID A-B/2-3
- GRID A-C/3-4
- GRID B-D/1-3
- GRID C-E/3-4
- GRID D-E/1-3
β’ POINT LOAD AT
- B/3 (refer to page x)
- C/3 (refer to page x)
- D/3 (refer to page x)
2.1m
A
DEAD LOAD FROM BEAM SELF WEIGHT
(GRID 3/A-E)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 3/A-E)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x
(Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
ROY YIEK CHIN HIENG 0317726
B C D E
0.9m 1.7m 0.9m
48
49. 5.BEAM (FIRST FLOOR 3/A-E)
2.1m
A
DEAD LOAD FROM SLAB (GRID A-B/2-3)
2Kn/m
4.05Kn/m
B C D E
0.9m 1.7m 0.9m(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 1.11m / 2
= 2Kn/m
DEAD LOAD FROM SLAB (GRID A-C/3-4)
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.25m / 2
= 4.05Kn/m
DEAD LOAD FROM SLAB (GRID B-D/1-3)
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.6m /2 x 2/3
= 3.12Kn/m
3.12Kn/m
DEAD LOAD FROM SLAB (GRID C-E/3-4)
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.25m /2
= 4.05Kn/m
4.05Kn/m
DEAD LOAD FROM SLAB (GRID D-E/1-3)
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.15m /2 X 2/3
= 2.58Kn/m
2.58Kn/m
TOTAL DEAD LOAD
A-B : (1.44 + 11.4 + 2 + 4.05)Kn/m = 18.89 Kn/m
B-C : (1.44 + 11.4 + 4.05 + 3.12) Kn/m = 20.01 Kn/m
C-D : (1.44 + 11.4 + 3.12 + 4.05) Kn/m = 20.01 Kn/m
D-E : (1.44 + 11.4 + 4.05 + 2.58) Kn/m = 19.47 Kn/m
ROY YIEK CHIN HIENG 0317726
49
50. 5.BEAM (FIRST FLOOR 3/A-E)
ULTIMATE DEAD LOAD
A-B : 18.89 Kn/m x 1.4 = 26.45Kn/m
B-C : 20.01 Kn/m x 1.4 = 28.14 Kn/m
C-D : 20.01 Kn/m x 1.4 = 28.14 Kn/m
D-E : 19.47 Kn/m x 1.4 = 27.26 Kn/m
2.1m
A
26.45Kn/m
B C D E
0.9m 1.7m 0.9m
28.14Kn/m
27.26Kn/m
2.25Kn/m
1.3Kn/m
1.69Kn/m
1.08Kn/m
LIVE LOAD FROM SLAB (A-B/2-3)
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 1.11m / 2
= 0.83Kn/m
0.83Kn/m
LIVE LOAD FROM SLAB (A-C/3-4)
Toilet = 2.0 Kn/m2
(toilet factor) x (Lx/2)
= 2Kn/m2 x 2.25m / 2
= 2.25Kn/m
LIVE LOAD FROM SLAB (B-D/1-3)
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 2.6m /2 x 2/3
= 1.3Kn/m
LIVE LOAD FROM SLAB (C-E/3-4)
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2.25m /2
= 1.69Kn/m
LIVE LOAD FROM SLAB (D-E/1-3)
Bedroom = 1.5 Kn/m2
(bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 2.15m /2 x 2/3
= 1.08Kn/m
ROY YIEK CHIN HIENG 0317726
50
51. 5.BEAM (FIRST FLOOR 3/A-E)
ULTIMATE LIVE LOAD
A-B : 3.08Kn/m x 1.6 = 4.91 Kn/m
B-C : 3.55Kn/m x 1.6 = 5.68 Kn/m
C-D : 2.99Kn/m x 1.6 = 4.78 Kn/m
D-E : 2.77Kn/m x 1.6 = 4.43 Kn/m
2.1m
A
4.91Kn/m
B C D E
0.9m 1.7m 0.9m
TOTAL LIVE LOAD
A-B : (0.83 + 2.25)Kn/m = 3.08 Kn/m
B-C : (2.25 + 1.3) Kn/m = 3.55 Kn/m
C-D : (1.3 + 1.69) Kn/m = 2.99 Kn/m
D-E : (1.69 + 1.08) Kn/m = 2.77 Kn/m
5.68Kn/m
4.78Kn/m
4.43Kn/m
ULTIMATE LOAD
A-B : (26.45 + 4.91) Kn/m = 31.36 Kn/m
B-C : (28.14 + 5.68) Kn/m = 33.82 Kn/m
C-D : (28.14 + 4.78) Kn/m = 32.92 Kn/m
D-E : (24.26 + 4.43) Kn/m = 28.69 Kn/m
Point load at B/3 = 66.87Kn (refer to page 47)
Point load at C/3 = 33.47Kn (refer to page 55)
Point load at D/3 = 51.55Kn (refer to page 42)
31.36
Kn/m
33.82
Kn/m
32.92
Kn/m 28.69
Kn/m
66.87Kn 33.47Kn 51.55Kn
ROY YIEK CHIN HIENG 0317726
51
52. 5.BEAM (FIRST FLOOR 3/A-E)
2.1m
A B C D E
0.9m 1.7m 0.9m
31.36
Kn/m
33.82
Kn/m
32.92
Kn/m 28.69
Kn/m
66.87Kn 33.47Kn 51.55Kn
M = 0
= (5.6)(Ra) β (31.36 x 2.1)(4.55) β (66.87)(3.5) β (33.82 x 0.9)(3.05) β
(33.47)(2.6) β (32.92 x 1.7)(1.75) β (51.55)(0.9) β (28.69 x 0.9)(0.45)
= 5.6Ra β 299.64 β 234.04 β 92.84 β 87.02 β 97.94 β 46.40 β 11.62
= 5.6Ra β 869.5
5.6Ra = 869.5 Kn
Ra = 155.27 Kn
F = 0
= Ra + Re β (31.36 x 2.1) β 66.87 β (33.82 x 0.9) β 33.47 β (32.92 x 1.7) β
51.55 - (28.69 x 0.9)
= 155.27 + Re β 65.86 β 66.87 β 30.44 β 33.47 β 55.96 β 51.55 β 25.82
= Re β 174.7Kn
Re = 174.7Kn
5.6m
Ra Re
ROY YIEK CHIN HIENG 0317726
52
53. 5.BEAM (FIRST FLOOR 3/A-E)
2.1m
A B C D E
0.9m 1.7m 0.9m
31.36
Kn/m
33.82
Kn/m
32.92
Kn/m 28.69
Kn/m
66.87Kn 33.47Kn 51.55Kn
Ra=
155.27Kn
Re =
174.7Kn
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
155.27 Kn
0 Kn -7.89 Kn
-174.7Kn
0 Kn
89.41Kn
22.54Kn
-41.36 Kn
-97.33 Kn
-148.88 Kn
ROY YIEK CHIN HIENG 0317726
53
54. 5.BEAM (FIRST FLOOR 3/A-E)
155.27 Kn
0 Kn -7.89 Kn
-174.
0 Kn
89.41Kn
22.54Kn
-41.36 Kn
-97.33 Kn
-148.88 Kn
2.1m
A B C D E
0.9m 1.7m 0.9m
a
b
c d
e
f
g
hArea of :
(155.27-89.41) x 2.1 / 2
=69.15
a
c
d
e
f
g
h
bArea of :
89.41 x 2.1
= 187.76
c
d
0.9m
22.54
7.89
x
0.9 β x
x / 0.9-x = 7.89 / 22.54
7.1-7.89x = 22.54x
30.43x = 7.1
x = 0.23
Area of :
22.54 x (0.9 - 0.23) / 2
= 7.55
Area of :
(148.88 - 41.36) x 0.9
=96.77
Area of :
7.89 x 0.23/ 2
= 0.91
Area of :
41.36 x 2.6
= 107.54
Area of :
(97.33 - 41.36) x 1.7 / 2
= 47.57
Area of :
(174.7 β 148.88) x 0.9 / 2
=11.62
BENDING MOMENT
DIAGRAM
a + b + c
= 264.46
=264.4
d + e + f + g + h
= 264.41
=264.4
264.4Kn/m
ROY YIEK CHIN HIENG 0317726
54
55. 6. BEAM (FIRST FLOOR E/3-4)
FIRST FLOOR BEAM &
COLUMN LAYOUT
6.BEAM (FIRST FLOOR E/3-4)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
FIRST FLOOR PLAN
ROY YIEK CHIN HIENG 0317726
55
56. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID E/3-4 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID E/3-4 )
β’ DEAD LOAD FROM SLAB :
- GRID C-E/3-4
- GRID E-G/3-5
β’ LIVE LOAD FROM SLAB :
- GRID C-E/3-4
- GRID E-G/3-5
6. BEAM (FIRST FLOOR E/3-4) CARRIES:
2.25m
3 4DEAD LOAD FROM BEAM SELF WEIGHT
(GRID A/1-3)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID A/1-3)
DEAD LOAD FROM SLAB (C-E/3-4)
DEAD LOAD FROM SLAB (E-G/3-5)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.25m/2 x 2/3
= 2.7Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.5m/2
= 4.5Kn/m
ROY YIEK CHIN HIENG 0317726
6.BEAM (FIRST FLOOR E/3-4)
2.7Kn/m
4.5Kn/m
56
57. 6.BEAM (FIRST FLOOR E/3-4)
2.25m
3 4
TOTAL DEAD LOAD
AβB : 20.04Kn/m x 1.4 = 28.06 Kn/m
28.06Kn/m
ULTIMATE DEAD LOAD
LIVE LOAD FROM SLAB (C-E/3-4)
LIVE LOAD FROM SLAB (E-G/3-5)
1.13Kn/m
Corridor = 4.0Kn/m2
(corridor factor) x (Lx/2)
= 4.0Kn/m2 x 2.5m/2
= 5Kn/m
Bedroom = 1.5Kn/m2
(bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 2.25m/2 x 2/3
= 1.12Kn/m
9.81Kn/m
ULTIMATE LOAD
A-B : 28.06Kn/m + 9.81Kn/m = 37.87 Kn/m
37.87Kn/m
3-4 : (1.44 + 11.4 + 2.7 + 4.5) Kn/m = 20.04Kn/m
5Kn/m
TOTAL LIVE LOAD
3-4 : 6.13Kn/m x 1.6 = 9.81Kn/m
ULTIMATE LIVE LOAD
3-4 : (1.13 + 5) Kn/m = 6.13Kn/m
ROY YIEK CHIN HIENG 0317726
57
59. CHOOSEN COLUMNS
1. E/3
2. E/4
3. A/3
ROY YIEK CHIN HIENG 0317726
GENERAL INFO
*Height of the floors=3m
*Brick wall 200mm thick
Dead Load= 3.0m x 0.2m x 19 kN/m3
= 11.4kN/m
*Beam size is 200mm x 300mm
Dead Load= 0.15 m x 0.3 m x 24 kN/m3
= 1.44kN/m
*Slab thickness is 150mm,
Dead Load= 0.15m x 24 kN/m3
= 3.6 kN/m2
*Column size=300 x 300mm
Dead Load= 0.3m x 0.3m x 3m x 24 kN/m3
= 6.48 kN
59
64. Dead Load acting on column E/3.
ROY YIEK CHIN HIENG 0317726
Dead Load
1. COLUMN E/3
2.98m
4.5m
4.5m
E/3
1.13m1.85m
2.6m 1.7m0.2m
1.9m 2.15m 0.45m
Roof Level
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 13.41m2 x 24Kn/m3 x 0.15 kN/m2
=48.28 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 10.46m x 24Kn/m3 x (0.2 x 0.3)m
= 15.06 Kn
63.34Kn
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(0.745 + 4.5 + 1.125 + 1.125)m x 19Kn/m3 x (0.2 x
3)m
=85.44 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 13.41m2 x 24Kn/m3 x 0.15 kN/m2
=48.28 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 10.46m x 24Kn/m3 x (0.2 x 0.3)m
= 15.06 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN
155.26Kn
1st Floor
2.98m
4.5m
4.5m
E/3
1.13m1.85m
2.6m 1.7m0.2m
1.9m 2.15m 0.45m
64
65. Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(1.7 + 1.13) x 19Kn/m3 x (0.2 x 3)m
=32.26 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 13.41m2 x 24Kn/m3 x 0.15 kN/m2
=48.28 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= (1.7 + 2.98)m x 24Kn/m3 x (0.2 x 0.3)m
= 6.74 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN
93.76Kn
Grd Floor
2.98m
3m
E/3
1.7m1.3m
1.13m1.85m
TOTAL DEAD LOAD
= (63.34 + 155.26 + 93.76)
=312.36Kn
ULTIMATE DEAD LOAD
= 312.36Kn x 1.4
= 437.30 Kn
65
66. ROY YIEK CHIN HIENG 0317726
1. COLUMN E/3
Live Load
Roof Level
1st Floor
Grd Floor
Slab live load :
(Total slab area) x (roof live load factor)
= 13.41m2 x 0.5Kn/m2
=6.71 Kn
6.71Kn
Bedroom
(Total bedroom areas) x (bedroom factor)
=(4.5m x 1.85m) (1.5Kn/m2) +
(2.6m x 1.13m) (1.5Kn/m2) +
=16.9 Kn
Toilet
(Total toilet area) x (toilet factor)
= (1.13m x 0.2m) x 2.0 kN/m2
=0.45 Kn
Corridor
(total corridor area) x (corridor factor)
= (1.7m x 1.13m) (4.0Kn/m2)
= 7.68 Kn
25.03Kn
Bedroom
(Total bedroom areas) x (bedroom factor)
=(3m x 1.85m) (1.5Kn/m2)
=8.33 Kn
Toilet
(Total toilet area) x (toilet factor)
= (1.3m x 2.98m) x 2.0 kN/m2
=7.75 Kn
Corridor
(total corridor area) x (corridor factor)
= (1.7m x 1.13m) (4.0Kn/m2)
= 7.68 Kn
23.76Kn
Live Load acting on column E/3.
2.98m 4.5m
4.5m
E/3
1.13m1.85m
2.6m 1.7m0.2m
1.9m 2.15m 0.45m
2.98m
4.5m
4.5m
E/3
1.13m1.85m
2.6m 1.7m0.2m
1.9m 2.15m 0.45m
BEDROOM BEDROOM
BEDROOM CORRIDOR
TOILET
2.98m
3m
E/3
1.7m1.3m
1.13m1.85m
BEDROOM
CORRIDORTOILET
66
67. ROY YIEK CHIN HIENG 0317726
So, ultimate load acting on column E/3= 526.1 Kn
TOTAL LIVE LOAD
= (6.71 + 25.03 + 23.76) Kn
55.5Kn
ULTIMATE LIVE LOAD
= 55.5Kn x 1.6
= 88.8 Kn
ULTIMATE LOAD
= Untimate Dead Load + Ultimate Live Load
= 437.30Kn + 88.8Kn
= 526.10 Kn
1. COLUMN E/3
67
68. 2. COLUMN E/4
2. COLUMN A/1
ROY YIEK CHIN HIENG 0317726
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR BEAM & COLUMN LAYOUT
GROUND FLOOR BEAM & COLUMN LAYOUT
ROOF PLAN
FIRST FLOOR PLAN
1.85m
2.35m
2
2 2
2
2 2
1.85m
1.5m
68
69. ROY YIEK CHIN HIENG 0317726
2. COLUMN A/1
Dead Load acting on column A/1.
Dead Load
TOTAL DEAD LOAD
= (24.37 + 59.48 + 6.48) Kn
= 90.33Kn
ULTIMATE DEAD LOAD
= 9.33Kn x 1.4
= 126.46 Kn
Roof Level
1st Floor
Grd Floor
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN
6.48Kn
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(1.85 + 1.5)m x 19Kn/m3 x (0.2 x 3)m
=38.19 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 2.78m2 x 24Kn/m3 x 0.15 kN/m2
=9.99 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 3.35m x 24Kn/m3 x (0.2 x 0.3)m
= 4.82 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN
59.48Kn
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 4.35m2 x 24Kn/m3 x 0.15 kN/m2
=15.66 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.05m x 24Kn/m3 x (0.2 x 0.3)m
= 8.71 Kn
24.37Kn
1.85m
2.35m
A/1
0.25m2.1m
A/1
1.85m
1.5m
69
70. 2. COLUMN A/1
Live Load acting on column A/1.
Live Load
Roof Level
1st Floor
Grd Floor
1.85m
2.35m
A/1
0.25m2.1m
A/1
1.85m
1.5m
Slab live load :
(Total slab area) x (roof live load factor)
= 4.35m2 x 0.5Kn/m2
=2.18 Kn
2.18Kn
TOILET
Toilet
(Total toilet area) x (toilet factor)
= 2.78m2 x 2.0 kN/m2
=5.56 Kn
5.56Kn
No live load
ROY YIEK CHIN HIENG 0317726
70
71. TOTAL LIVE LOAD
= (2.18 + 5.56) Kn
= 7.74Kn
ULTIMATE LIVE LOAD
= 7.74Kn x 1.6
= 12.38 Kn
ROY YIEK CHIN HIENG 0317726
2. COLUMN A/1
ULTIMATE LOAD
= Ultimate Dead Load + Ultimate Live Load
= 126.46Kn + 12.38Kn
= 138.84 Kn
So, ultimate load acting on column A/1= 138.84 kN
71
72. 3. COLUMN A/3
3. COLUMN A/3
ROY YIEK CHIN HIENG 0317726
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR BEAM & COLUMN LAYOUT
GROUND FLOOR BEAM & COLUMN LAYOUT
ROOF PLAN
FIRST FLOOR PLAN
3 3
3 3
3 3
72
73. ROY YIEK CHIN HIENG 0317726
3. COLUMN A/3
DeadLoad acting on column A/3.
Dead Load
Roof Level
1st Floor
Grd Floor
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x (slab
thickness)
=(2.8m x 2.98m) x 24Kn/m3 x 0.15 kN/m2
=30.04 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= (2.1m + 2.8m + 1.85m + 2.98 ) x 24Kn/m3 x
(0.2 x 0.3)m
= 14.01 Kn
44.05Kn
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(0.74 + 2.1 + 2.98 + 2.8)m x 19Kn/m3 x (0.2 x 3)m
=98.27 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 8.34m2 x 24Kn/m3 x 0.15 kN/m2
=30.04 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 9.73m x 24Kn/m3 x (0.2 x 0.3)m
= 14.01 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48kN
148.8Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN 6.48Kn
A/3
A/3
A/3
2.98m
2.1m
1.13m1.11m0.74m
2.8m
0.7m
1.85m
2.98m
2.1m
1.13m1.11m0.74m
2.8m
0.7m
1.85m
ULTIMATE DEAD LOAD = 199.33Kn x 1.4
= 279.06 Kn
TOTAL DEAD LOAD = 44.05 + 148.8 + 6.48
= 199.33Kn
73
74. ROY YIEK CHIN HIENG 0317726
TOTAL LIVE LOAD
= (2.18 + 18.87) Kn
= 21.05Kn
ULTIMATE LIVE LOAD
= 21.05Kn x 1.6
= 33.68 Kn
3. DeadLoad acting on column A/3.
Dead Load
Roof Level
1st Floor
Grd Floor
A/3
A/3
A/3
2.98m
2.1m
1.13m1.11m0.74m
2.8m
0.7m
1.85m
2.98m
2.1m
1.13m1.11m0.74m
2.8m
0.7m
1.85m
Slab live load :
(Total slab area) x (roof live load factor)
= 4.35m2 x 0.5Kn/m2
=2.18 Kn
2.18Kn
Toilet
(Total toilet area) x (toilet factor)
= (2.1m x 0.74m) (2.0 kN/m2) +
(1.13m x 2.8m)(2.0Kn/m2)
= 9.44 Kn
Bedroom
(Total bedroom area) x (bedroom factor)
= (1.85m x 0.7m)( 2.0 kN/m2) +
(1.11m x 2.1m)( 2.0 kN/m2)
= 7.25 Kn
BEDROOM
TOILET
TOILET
BEDROOM
No live load
18.87Kn
3. COLUMN A/3 74
75. ROY YIEK CHIN HIENG 0317726
3. COLUMN A/3
ULTIMATE LOAD
= Ultimate Dead Load + Ultimate Live Load
= 279.06Kn + 33.68Kn
= 312.74Kn
So, ultimate load acting on column A/3= 312.74 kN
75
76. LOUIS DE ROZARIO
0327136
CHOOSEN BEAMS
1. FIRST FLOOR 8/A-E
2. FIRST FLOOR E/6-9
3. FIRST FLOOR 5/A-E
4. FIRST FLOOR 6/A-E
5. FIRST FLOOR 9/A-E
6. FIRST FLOOR C/8-9
76
79. 1. BEAM (FIRST FLOOR 8/A-E)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
1.BEAM (FIRST FLOOR 8/A-E)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
79
80. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 8/A-E )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 8/A-C )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
- GRID A-E/6-8
β’ LIVE LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
- GRID A-E/6-8
β’ POINT LOAD AT POINT C/8
1.BEAM (FIRST FLOOR 8/A-E)
BEAM (FIRST FLOOR 8/A-E) CARRIES:
3m 2.6m
A C EDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 8/A-E)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 8/A-C)
DEAD LOAD FROM SLAB (A-C/8-9)
DEAD LOAD FROM SLAB (C-E/8-9)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2
= 3.6Kn/m
3.6Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2
= 3.6Kn/m
3.6Kn/m
80
81. 1.BEAM (FIRST FLOOR 8/A-E)
3m 2.6m
A C EDEAD LOAD FROM SLAB (A-E/6-8)
6.3Kn/m
31.84Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 3.5m/2
= 6.3Kn/m
15.88Kn/m
ULTIMATE DEAD LOAD
A-C : 22.74Kn/m x 1.4 = 31.84Kn/m
C-E : 11.34Kn/m x 1.4 = 15.88Kn/m
LIVE LOAD FROM SLAB (A-C/8-9)
LIVE LOAD FROM SLAB (C-E/8-9)
Toilet = 2.0Kn/m2 2Kn/m
(Toilet factor) x (Lx/2)
= 2.0Kn/m2 x 2m/2
= 2Kn/m
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2m/2
= 1.5Kn/m
Bedroom = 1.5Kn/m2
TOTAL DEAD LOAD
A-C : (1.44+11.4+3.6+6.3)Kn/m = 22.74Kn/m
C-E : ( 1.44+3.6+6.3)Kn/m = 11.34Kn/m
1.5Kn/m
LIVE LOAD FROM SLAB (A-E/6-7)
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 3. 5m/2
= 2.63Kn/m
Bedroom = 1.5Kn/m2 2.63Kn/m
81
82. 1.BEAM (FIRST FLOOR 8/A-E)
7.41Kn/m
6.31Kn/mULTIMATE LIVE LOAD
A-C : 4.63Kn/m x 1.6 = 7.41Kn/m
C-E : 3.95Kn/m x 1.6 = 6.31Kn/m
TOTAL LIVE LOAD
A-C : (2+2.63)Kn/m = 4.63Kn/m
C-E : (1.5+2.63)Kn/m = 3.95Kn/m
3m 2.6m
A C E
ULTIMATE LOAD
A-C : (7.41+31.84) = 39.25Kn/m
C-E : (6.31+15.88) = 22.19Kn/m
Point load at C/8 : 28.4 Kn (kindly refer to page
85)
39.25Kn/m
22.19Kn/m
Point load from C/8
28.4Kn/m
82
83. 1.BEAM (FIRST FLOOR 8/A-E)
39.25Kn/m
22.19Kn/m
3m 2.6m
A C E
28.4Kn
Ra Re
M = 0
= (5.6)(Ra) β (117.75)(4.1) β (28.4)(2.6) β (57.69)(1.3)
= 5.6Ra β 482.78 β 73.84 β 75
= 5.6Ra β 631.62
5.6Ra = 631.62 Kn
Ra = 112.8 Kn
F = 0
= Re + Ra β (39.25 x 3) β 28.4 β (22.19 x 2.6)
= Re + 112.8 β 203.84
= Re β 91.04Kn
Re = 91.04Kn
83
84. 1.BEAM (FIRST FLOOR 8/A-E)
39.25Kn/m
22.19Kn/m
3m 2.6m
A C E
28.4Kn
Ra= 112.80Kn Re= 91.04Kn
112.8 Kn
- 33.35 Kn
0 Kn -4.95 Kn
-91.04 Kn
0 Kn
= 162Kn/m
X/3 = 4.95/(4.95+112.8)
X = 0.13
4.95
112.8
3
x
162Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
84
85. SECONDARY BEAM (FIRST FLOOR C/8-9)
SECONDARY BEAM (FIRST FLOOR C/8-9)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
85
86. SECONDARY BEAM (FIRST FLOOR C/8-9)
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID C/8-9 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID C/8-9 )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
β’ LIVE LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
2m
8 9DEAD LOAD FROM BEAM SELF WEIGHT
(GRID C/8-9)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID C/8-9)
DEAD LOAD FROM SLAB (A-C/8-9)
DEAD LOAD FROM SLAB (C-E/8-9)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2 x 2/3
= 2.4Kn/m
2.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2 x 2/3
= 2.4 Kn/m
2.4Kn/m
SECONDARY BEAM (FIRST FLOOR C/8-9)
86
87. 2m
8 9TOTAL DEAD LOAD
24.67Kn/m
1.33Kn/m
3-4 : (1.44+11.4+2.4+2.4)Kn/m = 17.64Kn/m
1Kn/m
SECONDARY BEAM (FIRST FLOOR C/8-9)
ULTIMATE DEAD LOAD
17.64Kn/m x 1.4 = 24.67Kn/m
LIVE LOAD FROM SLAB (A-C/8-9)
LIVE LOAD FROM SLAB (C-E/3-4)
Toilet = 2.0Kn/m2
(Toilet factor) x (Lx/2) x 2/3
= 2.0Kn/m2 x 2 m/2 x 2/3
= 1.33Kn/m
(Bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 2m/2 x 2/3
= 1Kn/m
Bedroom = 1.5Kn/m2
TOTAL LIVE LOAD
8-9 : (1.33+1)Kn/m = 2.33Kn/m
ULTIMATE LIVE LOAD
2.33Kn/m x 1.6 = 3.73Kn/m
3.73Kn/m
ULTIMATE LOAD
28.4Kn/m
24.67Kn/m + 3.73Kn/m = 28.4Kn/m
87
89. 2. BEAM (FIRST FLOOR E/6-9)
FIRST FLOOR BEAM &
COLUMN LAYOUT
2.BEAM (FIRST FLOOR E/6-9)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
89
90. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID E/6-9 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID E/6-9 )
β’ DEAD LOAD FROM SLAB :
- GRID A-E/6-8
- GRID C-E/8-9
- GRID E-G/6-9
β’ LIVE LOAD FROM SLAB :
- GRID A-E/6-8
- GRID C-E/8-9
- GRID E-G/6-9
β’ POINT LOAD AT POINT E/8
2.BEAM (FIRST FLOOR E/6-9)
BEAM (FIRST FLOOR E/6-9) CARRIES:
3.5m 2m
6 8 9DEAD LOAD FROM BEAM SELF WEIGHT
(GRID E/6-9)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID E/6-9)
DEAD LOAD FROM SLAB (A-E/6-8)
DEAD LOAD FROM SLAB (C-E/8-9)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 3.5m/2
= 6.3Kn/m
6.3Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2
= 3.6Kn/m
3.6Kn/m
90
91. 2.BEAM (FIRST FLOOR E/6-9)
3.5m 2m
6 8 9DEAD LOAD FROM SLAB (E-G/6-9)
4.5Kn/m
33.1Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.5m/2
= 4.5Kn/m
29.32Kn/m
ULTIMATE DEAD LOAD
A-C : 23.64Kn/m x 1.4 = 33.1Kn/m
C-E : 20.94Kn/m x 1.4 = 29.32Kn/m
LIVE LOAD FROM SLAB (A-E/6-8)
LIVE LOAD FROM SLAB (C-E/8-9)
Bedroom = 1.5Kn/m2 2.63Kn/m
(Bedroom factor) x (Lx/2)
= 2.0Kn/m2 x 3.5m/2
= 2.63Kn/m
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2m/2
= 1.5Kn/m
Bedroom = 1.5Kn/m2
TOTAL DEAD LOAD
6-8 : (1.44+11.4+4.5+6.3)Kn/m = 23.64Kn/m
8-9 : ( 1.44+11.4+3.6+4.5)Kn/m = 20.94Kn/m
1.5Kn/m
LIVE LOAD FROM SLAB (E-G/6-9)
(Living Room factor) x (Lx/2)
= 4Kn/m2 x 2. 5m/2
= 5Kn/m
Living Room = 4Kn/m2 5Kn/m
91
92. 2.BEAM (FIRST FLOOR E/6-9)
12.21Kn/m
10.4Kn/mULTIMATE LIVE LOAD
6-8 : 7.63Kn/m x 1.6 = 12.21Kn/m
8-9 : 6.5Kn/m x 1.6 = 10.4Kn/m
TOTAL LIVE LOAD
6-8 : (5+2.63)Kn/m = 7.63Kn/m
8-9 : (1.5+5)Kn/m = 6.5Kn/m
3.5m 2m
6 8 9
ULTIMATE LOAD
6-8 : (12.21+33.1) = 25.31Kn/m
8-9 : (10.4+29.32) = 39.72Kn/m
Point load at E/8 : 91.04 Kn (kindly refer to page
79)
45.31Kn/m
39.72Kn/m
Point load from C/8
91.04Kn/m
92
93. 2.BEAM (FIRST FLOOR E/6-9)
43.31Kn/m
39.72Kn/m
3.5m 2m
6 8 9
91.04Kn
Ra Re
M = 0
= (5.5)(Ra) β (158.59)(3.75) β (91.04)(2) β (79.44)(1)
= 5.5Ra β 594.71 β 182.08 β 79.44
= 5.5Ra β 856.23
5.5Ra = 856.23 Kn
Ra = 155.68 Kn
F = 0
= Re + Ra β (45.31 x 3.5) β 91.04 β (39.72 x 2)
= Re + 155.68 β 329.07
= Re β 173.39Kn
Re = 173.39Kn
93
95. 3. BEAM (FIRST FLOOR 5/A-E)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
3.BEAM (FIRST FLOOR 5/A-E)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
95
96. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 5/A-E )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 5/A-E )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/5-6
- GRID C-G/5-6
- GRID A-E/4-5
β’ LIVE LOAD FROM SLAB :
- GRID A-C/5-6
- GRID C-G/5-6
- GRID A-E/4-5
β’ POINT LOAD AT POINT C/5
3.BEAM (FIRST FLOOR 5/A-E)
BEAM (FIRST FLOOR 5/A-E) CARRIES:
3m 2.6m
A C EDEAD LOAD FROM BEAM SELF WEIGHT
(GRID E/6-9)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID E/6-9)
DEAD LOAD FROM SLAB (A-C/5-6)
DEAD LOAD FROM SLAB (C-G/5-6)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2
= 4.68Kn/m
4.68Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2
= 4.68Kn/m
4.68Kn/m
96
97. 3.BEAM (FIRST FLOOR 5/A-E)
3m 2.6m
A C EDEAD LOAD FROM SLAB (E-G/6-9)
7.11Kn/m
34.48Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 3.95m/2
= 7.11Kn/m
34.48Kn/m
ULTIMATE DEAD LOAD
A-C : 24.63Kn/m x 1.4 = 34.48Kn/m
C-E : 24.63Kn/m x 1.4 = 34.48Kn/m
LIVE LOAD FROM SLAB (A-C/5-6)
LIVE LOAD FROM SLAB (C-G/5-6)
Toilet = 2Kn/m2 2.6Kn/m
(Toilet factor) x (Lx/2)
= 2.0Kn/m2 x 2.6m/2
= 2.6Kn/m
(Corridor factor) x (Lx/2)
= 4Kn/m2 x 2.6m/2
= 5.2Kn/m
Corridor = 4Kn/m2
TOTAL DEAD LOAD
A-C : (1.44+11.4+4.68+7.11)Kn/m = 24.63Kn/m
C-D : (1.44+11.4+4.68+7.11)Kn/m = 24.63Kn/m
5.2Kn/m
LIVE LOAD FROM SLAB (E-G/6-9)
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 3.95m/2
= 2.96Kn/m
Bedroom = 1.5Kn/m2 2.96Kn/m
97
98. 3.BEAM (FIRST FLOOR 5/A-E)
8.9Kn/m
13.06Kn/m
ULTIMATE LIVE LOAD
A-C : 5.56Kn/m x 1.6 = 8.9Kn/m
C-E : 8.16Kn/m x 1.6 = 13.06Kn/m
TOTAL LIVE LOAD
A-C : (2.96+2.6)Kn/m = 5.56Kn/m
C-E : (2.96+5.2)Kn/m = 8.16Kn/m
3m 2.6m
A C E
ULTIMATE LOAD
A-C : (34.48+8.9) = 43.38Kn/m
C-E : (34.48+13.06) = 47.54Kn/m
Point load at C/5 : 45.54 Kn (kindly refer to page
107)
43.38Kn/m
47.54Kn/m
Point load from C/5
45.54Kn/m
98
99. 3.BEAM (FIRST FLOOR 5/A-E)
43.38Kn/m
47.54Kn/m
3m 2.6m
A C E
45.54Kn
Ra Re
M = 0
= (5.6)(Ra) β (130.14)(4.1) β (45.54)(2.6) β (123.6)(1.3)
= 5.6Ra β 533.57 β 118.40 β 160.68
= 5.6Ra β 812.65
5.6Ra = 812.65 Kn
Ra = 145.12 Kn
F = 0
= Re + Ra β (43.38 x 4.1) β 45.54 β (47.54 x 2.6)
= Re + 145.12 β 299.28
= Re β 154.16Kn
Re = 154.16Kn
99
100. 3.BEAM (FIRST FLOOR 5/A-E)
43.38Kn/m
47.54Kn/m
3m 2.6m
A C E
45.54Kn
Ra= 145.12Kn Re= 154.16Kn
145.12Kn
- 30.56Kn
0 Kn
14.98Kn
-154.16 Kn
0 Kn
= 240.15Kn/m
240.15Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
100
101. 4. BEAM (FIRST FLOOR 6/A-E)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
4.BEAM (FIRST FLOOR 6/A-E)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
101
102. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 8/A-E )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 8/A-C )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/5-6
- GRID A-E/5-6
- GRID A-E/6-8
β’ LIVE LOAD FROM SLAB :
- GRID A-C/5-6
- GRID A-E/5-6
- GRID A-E/6-8
β’ POINT LOAD AT POINT C/6
4.BEAM (FIRST FLOOR 6/A-E)
BEAM (FIRST FLOOR 8/A-E) CARRIES:
3m 2.6m
A C EDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 8/A-E)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 8/A-C)
DEAD LOAD FROM SLAB (A-C/5-6)
DEAD LOAD FROM SLAB (C-E/8-9)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2
= 4.68Kn/m
4.68Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2
= 4.68Kn/m
4.68Kn/m
102
103. 4.BEAM (FIRST FLOOR 6/A-E)
3m 2.6m
A C EDEAD LOAD FROM SLAB (A-E/6-8)
6.3Kn/m
33.35Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 3.5m/2
= 6.3Kn/m
33.35Kn/m
ULTIMATE DEAD LOAD
A-C : 23.82Kn/m x 1.4 = 33.35Kn/m
C-E : 23.82Kn/m x 1.4 = 33.35Kn/m
LIVE LOAD FROM SLAB (A-C/8-9)
LIVE LOAD FROM SLAB (C-E/8-9)
Toilet = 2.0Kn/m2 2.6Kn/m
(Toilet factor) x (Lx/2)
= 2.0Kn/m2 x 2.6m/2
= 2.6Kn/m
(Corridor factor) x (Lx/2)
= 4Kn/m2 x 2.6m/2
= 5.2Kn/m
Corridor = 4Kn/m2
TOTAL DEAD LOAD
A-C : (1.44+11.4+4.68+6.3)Kn/m = 23.82Kn/m
C-E : (1.44+11.4+4.68+6.3)Kn/m = 23.82Kn/m
5.2Kn/m
LIVE LOAD FROM SLAB (A-E/6-7)
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 3. 5m/2
= 2.63Kn/m
Bedroom = 1.5Kn/m2 2.63Kn/m
103
104. 4.BEAM (FIRST FLOOR 6/A-E)
8.37Kn/m
12.53Kn/m
ULTIMATE LIVE LOAD
A-C : 5.23Kn/m x 1.6 = 8.37Kn/m
C-E : 7.83Kn/m x 1.6 = 12.53Kn/m
TOTAL LIVE LOAD
A-C : (2.6+2.63)Kn/m = 5.23Kn/m
C-E : (5.2+2.63)Kn/m = 7.83Kn/m
3m 2.6m
A C E
ULTIMATE LOAD
A-C : (8.37+33.35) = 41.72Kn/m
C-E : (12.53+12.53) = 45.88Kn/m
Point load at C/6 : 45.54 Kn (kindly refer to page
107)
41.72Kn/m
45.88Kn/m
Point load from C/6
45.54Kn/m
104
105. 4.BEAM (FIRST FLOOR 6/A-E)
41.72Kn/m
45.88Kn/m
3m 2.6m
A C E
45.54Kn
Ra Re
M = 0
= (5.6)(Ra) β (125.16)(4.1) β (45.54.4)(2.6) β (119.29)(1.3)
= 5.6Ra β 513.16 β 118.4 β 155.08
= 5.6Ra β 786.64
5.6Ra = 786.64 Kn
Ra = 140.47 Kn
F = 0
= Re + Ra β (41.72 x 3) β 45.54 β (45.88 x 2.6)
= Re + 140.47 β 289.99
= Re β 149.52Kn
Re = 149.52Kn
105
106. 4.BEAM (FIRST FLOOR 6/A-E)
41.72Kn/m
45.88Kn/m
3m 2.6m
A C E
45.54Kn
Ra= 140.47Kn Re= 149.52Kn
140.47 Kn
- 30.23 Kn
0 Kn
15.31Kn
-149.52 Kn
0 Kn
= 236Kn/m
236Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
106
107. SECONDARY BEAM (FIRST FLOOR C/5-6)
SECONDARY BEAM (FIRST FLOOR C/8-9)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
107
108. SECONDARY BEAM (FIRST FLOOR C/8-9)
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID C/5-6 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID C/5-6 )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/5-6
- GRID C-G/5-6
β’ LIVE LOAD FROM SLAB :
- GRID A-C/5-6
- GRID C-G/5-6
2.6m
5 6DEAD LOAD FROM BEAM SELF WEIGHT
(GRID C/8-9)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID C/8-9)
DEAD LOAD FROM SLAB (A-C/5-6)
DEAD LOAD FROM SLAB (C-G/5-6)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2 x 2/3
= 3.12Kn/m
3.12Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2 x 2/3
= 2.4 Kn/m
3.12Kn/m
SECONDARY BEAM (FIRST FLOOR C/5-6)
108
109. 2.6m
5 6TOTAL DEAD LOAD
26.71Kn/m
1.73Kn/m
3-4 : (1.44+11.4+3.12+3.12)Kn/m =
19.08Kn/m
3.47Kn/m
SECONDARY BEAM (FIRST FLOOR C/5-6)
ULTIMATE DEAD LOAD
19.08Kn/m x 1.4 = 26.71Kn/m
LIVE LOAD FROM SLAB (A-C/5-6)
LIVE LOAD FROM SLAB (C-E/3-4)
Toilet = 2.0Kn/m2
(Toilet factor) x (Lx/2) x 2/3
= 2.0Kn/m2 x 2.6m/2 x 2/3
= 1.73Kn/m
(Corridor factor) x (Lx/2) x 2/3
= 4Kn/m2 x 2.6m/2 x 2/3
= 3.47Kn/m
Corridor = 4Kn/m2
TOTAL LIVE LOAD
5-6 : (1.73+3.47)Kn/m = 5.2Kn/m
ULTIMATE LIVE LOAD
5.2Kn/m x 1.6 = 8.32Kn/m
8.32Kn/m
ULTIMATE LOAD
30.03Kn/m
26.71Kn/m + 8.32Kn/m = 35.03Kn/m
109
111. 5. BEAM (FIRST FLOOR 9/A-E)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
5.BEAM (FIRST FLOOR 9/A-E)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
111
112. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 9/A-E )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 9/A-E )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
β’ LIVE LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
β’ POINT LOAD AT POINT C/9
5.BEAM (FIRST FLOOR 9/A-E)
BEAM (FIRST FLOOR 8/A-E) CARRIES:
3m 2.6m
A C EDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 8/A-E)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 8/A-C)
DEAD LOAD FROM SLAB (A-C/8-9)
DEAD LOAD FROM SLAB (C-E/8-9)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2
= 3.6Kn/m
3.6Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2
= 3.6Kn/m
3.6Kn/m
112
113. 5.BEAM (FIRST FLOOR 9/A-E)
3m 2.6m
A C E
23.02Kn/m 23.02Kn/m
ULTIMATE DEAD LOAD
A-C : 16.44Kn/m x 1.4 = 23.02Kn/m
C-E : 16.44Kn/m x 1.4 = 23.02Kn/m
LIVE LOAD FROM SLAB (A-C/8-9)
LIVE LOAD FROM SLAB (C-E/8-9)
Toilet = 2.0Kn/m2 2Kn/m
(Toilet factor) x (Lx/2)
= 2.0Kn/m2 x 2m/2
= 2Kn/m
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2m/2
= 1.5Kn/m
Bedroom = 1.5Kn/m2
TOTAL DEAD LOAD
A-C : (1.44+11.4+3.6)Kn/m = 16.44Kn/m
C-E : (1.44+11.4+3.6)Kn/m = 16.44Kn/m
1.5Kn/m
113
114. 5.BEAM (FIRST FLOOR 9/A-E)
3.2Kn/m
2.4Kn/mULTIMATE LIVE LOAD
A-C : 2Kn/m x 1.6 = 3.2Kn/m
C-E : 1.5Kn/m x 1.6 = 2.4Kn/m
3m 2.6m
A C E
ULTIMATE LOAD
A-C : (3.2+23.02) = 26.22Kn/m
C-E : (2.4+23.02) = 25.42Kn/m
Point load at C/9 : 28.4 Kn (kindly refer to page
117)
26.22Kn/m
25.42Kn/m
Point load from C/9
28.4Kn/m
114
115. 5.BEAM (FIRST FLOOR 9/A-E)
26.22Kn/m
25.42Kn/m
3m 2.6m
A C E
28.4Kn
Ra Re
M = 0
= (5.6)(Ra) β (78.66)(4.1) β (28.4)(2.6) β (66.09)(1.3)
= 5.6Ra β 322.15 β 73.84 β 85.92
= 5.6Ra β 482.37
5.6Ra = 482.27 Kn
Ra = 86.12 Kn
F = 0
= Re + Ra β (26.22 x 3) β 28.4 β (25.42 x 2.6)
= Re + 86.12 β 173.15
= Re β 87.03Kn
Re = 87.03Kn
115
116. 5.BEAM (FIRST FLOOR 9/A-E)
26.22Kn/m
25.42Kn/m
3m 2.6m
A C E
28.4Kn
Ra= 86.12Kn Re= 87.03Kn
86.12 Kn
- 20.94 Kn
0 Kn 7.46Kn
-87.03 Kn
0 Kn
= 140.36Kn/m
140.36Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
116
117. 6. SECONDARY BEAM (FIRST FLOOR C/8-9)
FIRST FLOOR BEAM &
COLUMN LAYOUT
FIRST FLOOR PLAN
6. SECONDARY BEAM (FIRST FLOOR 8/A-E)
FIRST FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
117
118. SECONDARY BEAM (FIRST FLOOR C/8-9)
β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID C/8-9 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID C/8-9 )
β’ DEAD LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
β’ LIVE LOAD FROM SLAB :
- GRID A-C/8-9
- GRID C-E/8-9
2m
8 9DEAD LOAD FROM BEAM SELF WEIGHT
(GRID C/8-9)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID C/8-9)
DEAD LOAD FROM SLAB (A-C/8-9)
DEAD LOAD FROM SLAB (C-E/8-9)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2 x 2/3
= 2.4Kn/m
2.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2m/2 x 2/3
= 2.4 Kn/m
2.4Kn/m
6. SECONDARY BEAM (FIRST FLOOR 8/A-E)
118
119. 2m
8 9TOTAL DEAD LOAD
24.67Kn/m
1.33Kn/m
3-4 : (1.44+11.4+2.4+2.4)Kn/m = 17.64Kn/m
1Kn/m
6. SECONDARY BEAM (FIRST FLOOR 8/A-E)
ULTIMATE DEAD LOAD
17.64Kn/m x 1.4 = 24.67Kn/m
LIVE LOAD FROM SLAB (A-C/8-9)
LIVE LOAD FROM SLAB (C-E/3-4)
Toilet = 2.0Kn/m2
(Toilet factor) x (Lx/2) x 2/3
= 2.0Kn/m2 x 2 m/2 x 2/3
= 1.33Kn/m
(Bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 2m/2 x 2/3
= 1Kn/m
Bedroom = 1.5Kn/m2
TOTAL LIVE LOAD
8-9 : (1.33+1)Kn/m = 2.33Kn/m
ULTIMATE LIVE LOAD
2.33Kn/m x 1.6 = 3.73Kn/m
3.73Kn/m
ULTIMATE LOAD
28.4Kn/m
24.67Kn/m + 3.73Kn/m = 28.4Kn/m
119
122. CHOOSEN COLUMNS
1. E/6
2. E/9
3. G/9
LOUIS DE ROZARIO 0327136
GENERAL INFO
*Height of the floors=3m
*Brick wall 200mm thick
Dead Load= 3.0m x 0.2m x 19 kN/m3
= 11.4kN/m
*Beam size is 200mm x 300mm
Dead Load= 0.15 m x 0.3 m x 24 kN/m3
= 1.44kN/m
*Slab thickness is 150mm,
Dead Load= 0.15m x 24 kN/m3
= 3.6 kN/m2
*Column size=300 x 300mm
Dead Load= 0.3m x 0.3m x 3m x 24 kN/m3
= 6.48 kN
122
126. 1. COLUMN E/6
1. COLUMN E/6
LOUIS DE ROZARIO 0327136
1
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR BEAM & COLUMN LAYOUT
GROUND FLOOR BEAM & COLUMN LAYOUT
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR PLAN
GROUND FLOOR PLAN
3.85m
4.05m
1
3.85m
4.05m
1
3.85m
4.05m
1
3.85m
4.05m
1
3.85m
4.05m
126
127. LOUIS DE ROZARIO 0327136
Load acting on column E/6.
Dead Load
Roof Level
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x
(slab thickness)
= 15.59m2 x 24Kn/m3 x 0.15 kN/m2
= 56.13 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 7.9m x 24Kn/m3 x (0.2 x 0.3)m
= 11.38 Kn
67.51Kn
E/6
3.85m
4.05m
2.6m 1.25m
1.3m2.75m
1st Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(2.6 + 1.25 + 1.3 + 2.75)m x 19Kn/m3 x (0.2 x 3)m
=90.06 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 15.59m2 x 24Kn/m3 x 0.15 kN/m2
= 56.13 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 7.9m x 24Kn/m3 x (0.2 x 0.3)m
= 11.38 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 8.64 kN 164.05Kn
1. COLUMN E/6
E/6
3.85m
4.05m
2.6m 1.25m
1.3m2.75m
127
128. LOUIS DE ROZARIO 0327136
Load acting on column E/6.
Dead Load
E/6
3.85m
4.05m
2.6m 1.25m
1.3m2.75m
1. COLUMN E/6
Grd Floor
Walls dead load
No walls = 0
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 15.59m2 x 24Kn/m3 x 0.15 kN/m2
= 56.13 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 7.9m x 24Kn/m3 x (0.2 x 0.3)m
= 11.38 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 8.64 kN
73.99Kn
TOTAL DEAD LOAD
= 427.77Kn
ULTIMATE DEAD LOAD
= 427.77Kn x 1.4
= 598.88 Kn
128
129. LOUIS DE ROZARIO 0327136
Load acting on column E/6.
Live Load
E/6
3.85m
4.05m
2.6m 1.25m
1.3m2.75m
1. COLUMN E/6
E/6
3.85m
4.05m
2.6m
1.25m
1.3m2.75m
Roof Level
Slab live load :
(Total slab area) x (roof live load factor)
= 15.59m2 x 0.5Kn/m2
=7.8 Kn
7.8Kn
1st Floor
Bedroom
(Total bedroom areas) x (bedroom factor)
=(2.6m x 2.75m) (1.5Kn/m2)
= 10.73 Kn
Living Room
(Total living room area) x (living room factor)
= (1.25m x 2.75m) x 4.0 kN/m2
= 13.75 Kn
Corridor
(total corridor area) x (corridor factor)
= (1.3m x 3.85m) (4.0Kn/m2)
= 20.02 Kn
44.5 Kn
E/6
3.85m
4.05m
2.6m
1.3m2.75m
Grd Floor
Living Room
(Total living room area) x (living room factor)
=(2.75m x 2.6m) (4Kn/m2)
=28.6 Kn
Dining Room
(Total dining room area) x (dining room factor)
= (1.3m x 2.6m) x 2 kN/m2
=6.76 Kn
Corridor
(total corridor area) x (corridor factor)
= (1.25m x 4.05m) (4.0Kn/m2)
= 20.25 Kn
55.61Kn
129
130. LOUIS DE ROZARIO 0327136
So, ultimate load acting on column E/6= 771.54 kN
TOTAL LIVE LOAD
= 107.91Kn
ULTIMATE LIVE LOAD
= 107.91Kn x 1.6
= 172.66 Kn
ULTIMATE LOAD
= 598.88 Kn + 172.66 Kn
= 771.54 Kn
1. COLUMN E/6
130
131. 2. COLUMN E/9
2. COLUMN E/9
LOUIS DE ROZARIO 0327136
2
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR BEAM & COLUMN LAYOUT
GROUND FLOOR BEAM & COLUMN LAYOUT
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR PLAN
GROUND FLOOR PLAN
2.75m
4.05m
2
2.75m
4.05m
2
2.75m
4.05m
2
2.75m
4.05m
2
2.75m
4.05m
131
132. LOUIS DE ROZARIO 0327136
Load acting on column E/9.
Dead Load
2. COLUMN E/9
E/9
4.05m
1.25m2.6m
2.75m
2m1.85m
E/9
4.05m
2.6m
2.75m
2m1.85m
Roof Level
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 7.01m2 x 24Kn/m3 x 0.15 kN/m2
= 25.24 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.6m x 24Kn/m3 x (0.2 x 0.3)m
= 9.5 Kn
34.74Kn
1st Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(1.3 + 1.25 + 2.75)m x 19Kn/m3 x (0.2 x 3)m
= 60.42 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 7.01m2 x 24Kn/m3 x 0.15 kN/m2
= 25.24 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.6m x 24Kn/m3 x (0.2 x 0.3)m
= 9.5 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN 101.64Kn
132
133. LOUIS DE ROZARIO 0327136
Load acting on column E/9.
Dead Load
2. COLUMN E/9
E/9
4.05m
1.25m2.6m
2.75m
2m1.85m
Grd Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(1.3 + 1.25) x 19Kn/m3 x (0.2 x 3)m
= 29.07 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 7.01m2 x 24Kn/m3 x 0.15 kN/m2
= 25.24 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.6m x 24Kn/m3 x (0.2 x 0.3)m
= 9.5 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN
70.29Kn
TOTAL DEAD LOAD
= 289.34Kn
ULTIMATE DEAD LOAD
= 289.34Kn x 1.4
= 405.08 Kn
133
134. LOUIS DE ROZARIO 0327136
Load acting on column E/9.
Live Load
2. COLUMN E/9
E/9
4.05m
1.25m2.6m
2.75m
2m1.85m
E/9
4.05m
2.6m
2.75m
2m1.85m
Roof Level
Slab live load :
(Total slab area) x (roof live load factor)
= 7.01m2 x 0.5Kn/m2
= 3.51 Kn
3.51Kn
1st Floor
Bedroom
(Total bedroom area) x (bedroom factor)
=(1.3m x 2.75m) (1.5Kn/m2)
= 5.36 Kn
Living Room
(Total living room area) x (living room factor)
= (1.25m x 2.75m) x 4.0 kN/m2
= 13.75 Kn
19.11Kn
E/9
4.05m
2.6m
2.75m
2m1.85m
Grd Floor
Living Room
(Total living room area) x (living room factor)
= (1.3m x 2.75m) x 4.0 kN/m2
= 14.3 Kn
Corridor
(total corridor area) x (corridor factor)
= (1.25m x 2.75m) (4.0Kn/m2)
= 13.75 Kn 28.05Kn
134
135. LOUIS DE ROZARIO 0327136
TOTAL LIVE LOAD
= 50.67Kn
ULTIMATE LIVE LOAD
= 50.67Kn x 1.6
= 81.07 Kn
ULTIMATE LOAD = 405.08Kn + 81.07Kn
= 486.15 Kn
So, ultimate load acting on column E/6= 486.15 kN
135
136. 3. COLUMN G/9
3. COLUMN G/9
LOUIS DE ROZARIO 0327136
3
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR BEAM & COLUMN LAYOUT
GROUND FLOOR BEAM & COLUMN LAYOUT
ROOF BEAM & COLUMN LAYOUT
FIRST FLOOR PLAN
GROUND FLOOR PLAN
2.75m
4.05m
3
3
2.75m
4.05m
3 2.75m
4.05m
3
2.75m
4.05m
3
2.75m
4.05m
136
137. LOUIS DE ROZARIO 0327136
Load acting on column G/9.
Dead Load
3. COLUMN G/9
G/9
4.05m
1.25m2.6m
2.75m
2m1.85m
Roof Level
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 9.63m2 x 24Kn/m3 x 0.15 kN/m2
=34.65 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.25m x 24Kn/m3 x (0.2 x 0.3)m
= 9 Kn 43.65Kn
G/9
4.05m
1.25m2.6m
2.75m
2m1.85m
1st Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(2.75 + 1.25)m x 19Kn/m3 x (0.2 x 3)m
= 45.6 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 9.63m2 x 24Kn/m3 x 0.15 kN/m2
=34.65 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.25m x 24Kn/m3 x (0.2 x 0.3)m
= 9 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN 95.73Kn
137
138. LOUIS DE ROZARIO 0327136
Load acting on column G/9.
Dead Load
3. COLUMN G/9
G/9
4.05m
1.25m2.6m
2.75m
2m1.85m
Grd Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(2.75 + 1.25)m x 19Kn/m3 x (0.2 x 3)m
= 45.6 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 9.63m2 x 24Kn/m3 x 0.15 kN/m2
=34.65 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 9m x 24Kn/m3 x (0.2 x 0.3)m
= 12.96 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN 99.35Kn
TOTAL DEAD LOAD
= 238.73Kn
ULTIMATE DEAD LOAD
= 238.73Kn x 1.4
= 334.22 Kn
138
139. LOUIS DE ROZARIO 0327136
Load acting on column G/9.
Live Load
3. COLUMN G/9
G/9
4.05m
1.25m2.6m
2.75m
2m1.85m
G/9
4.05m
1.25m2.6m
2.75m
2m1.85m
Roof Level
Slab live load :
(Total slab area) x (roof live load factor)
= 6.25m2 x 0.5Kn/m2
= 3.13Kn
3.13Kn
1st Floor
Living Room
(Total living room area) x (living room factor)
= (3.5m x 2.75m) x 4.0 kN/m2
= 38.52 Kn
38.52Kn
Grd Floor
Corridor
(total corridor area) x (corridor factor)
= (3.5m x 2.75m) x 4.0 kN/m2
= 38.52 Kn 38.52Kn
G/9
4.05m
1.25m2.6m
2.75m
2m1.85m
139
140. LOUIS DE ROZARIO 0327136
TOTAL LIVE LOAD
= 80.65Kn
ULTIMATE LIVE LOAD
= 80.65Kn x 1.6
= 129.04 Kn
ULTIMATE LOAD = 334.22Kn + 80.65Kn
= 414.87 Kn
So, ultimate load acting on column G/9= 414.87 kN
140
144. 1. BEAM (GROUND FLOOR C-H/1)
Z
GROUND FLOOR BEAM &
COLUMN LAYOUT
GROUND FLOOR PLAN
1.BEAM (GROUND FLOOR C-H/1)
GROUND FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
Z
Z
144
145. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID C-H/1 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID C-H/1 )
β’ DEAD LOAD FROM SLAB :
- GRID C-E/1-3
- GRID E-H/1-3
β’ LIVE LOAD FROM SLAB :
- GRID C-E/1-3
- GRID E-H/1-3
β’ POINT LOAD AT POINT E/1
BEAM (GROUND FLOOR 1/C-H) CARRIES:
2.6m 3.4m
C E HDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 1/C-H)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 4/C-H)
DEAD LOAD FROM SLAB (C-E/1-3)
DEAD LOAD FROM SLAB (E-H/1-3)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2 x 2/3
= 3.12Kn/m
3.12Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 3.4m/2 x 2/3
= 4.08Kn/m
4.08Kn/m
1.BEAM (GROUND FLOOR C-H/1)
145
146. 2.6m 3.4m
C E H
22.33Kn/m
23.69Kn/mULTIMATE DEAD LOAD
C-E : 15.95Kn/m x 1.4 = 22.33Kn/m
E-H : 16.92Kn/m x 1.4 = 23.69Kn/m
LIVE LOAD FROM SLAB (C-E/1-3)
LIVE LOAD FROM SLAB (E-H/1-3)
Bedroom = 1.5Kn/m2 1.3Kn/m
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2.6m/2 x 2/3
= 1.5Kn/m2 x 1.3m
= 1.3Kn/m
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 3.4m/2 x 2/3
= 1.5Kn/m x 1.7Kn/m
= 1.7Kn/m
Bedroom = 1.5Kn/m2
TOTAL DEAD LOAD
C-E : (1.44+11.4+4.05+3.12)Kn/m = 15.95Kn/m
E-H : ( 1.44+11.4+4.08)Kn/m = 16.92Kn/m
1.7Kn/m
ULTIMATE LIVE LOAD
C-E : 1.3Kn/m x 1.6 = 2.08Kn/m
E-H : 1.7Kn/m x 1.6 = 2.72Kn/m
ULTIMATE LOAD
C-E : (22.33Kn/m x 2.08) = 24.41Kn/m
E-H : (23.69Kn/m x 2.72) = 26.41Kn/m
Point load at E/1
2.08Kn/m
2.72Kn/m
24.41Kn/m
26.41Kn/m
1.BEAM (GROUND FLOOR C-H/1)
Point load at E/1
R1 = 44.99Kn
146
147. 24.41Kn/m
26.41Kn/m
2.6m 3.4m
C E H
44.99Kn
Ra Rb
M = 0
= (6)(Ra) β (24.41 x 2.6)(4.7) β (44.99)(3.4) β (26.41 x 3.4)(1.7)
= 6Ra β 298.29 β 152.97 β 152.65
= 6Ra β 603.91
6Ra = 603.91 Kn
Ra = 100.65 Kn
F = 0
= Rb + Ra β (24.41 x 2.6) β 44.99 β (26.41 x 3.4)
= Rb + 100.65 β 63.47 β 44.99 β 89.79
= Rb β 97.60Kn
Rb = 97.60n
1.BEAM (GROUND FLOOR C-H/1)
147
148. 24.41Kn/m
26.41Kn/m
2.6m 3.4m
C E H
44.99Kn
Ra = 100.65Kn Rb = 97.60Kn
100.65Kn
0 Kn
-97.6 Kn
0 Kn
a = (100.65 β 37.18) x 2.6 / 2
= 82.51Kn/m
177.05Knm
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
37.18 Kn
a
b
c
d
b = 37.18 x 2.6
= 96.67Kn/m
c = 7.18 x 3.4
= 24.41Kn/m
d = (97.6 β 7.81) x 3.4 / 2
= 152.64Kn/m
Conclusion
(a + b)- ( c + d) = 2.13
DIFFERENCE LESS THAN 5.
1.BEAM (GROUND FLOOR C-H/1)
-7.81 Kn
148
149. 2. BEAM (GROUND FLOOR E/1-3)
Z
GROUND FLOOR BEAM &
COLUMN LAYOUT
GROUND FLOOR PLAN
2.BEAM (GROUND FLOOR E/1-3)
GROUND FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
Z
Z
149
150. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID E-1/3 )
β’ DEAD LOAD FROM SLAB :
- GRID C-E/1-3
- GRID E-H/1-3
β’ LIVE LOAD FROM SLAB :
- GRID C-E/1-3
- GRID E-H/1-3
BEAM (GROUND FLOOR E/1-3) CARRIES:
3.7m
1 3DEAD LOAD FROM BEAM SELF WEIGHT
(GRID 1/C-H)
1.44Kn/m
4.68Kn/mDEAD LOAD FROM SLAB (C-E/1-3)
DEAD LOAD FROM SLAB (E-H/1-3)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m/2
= 4.68Kn/m
6.12Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 3.4m/2
= 6.12Kn/m
17.12Kn/m
ULTIMATE DEAD LOAD
1-3 : 12.24Kn/m x 1.4 = 17.12Kn/m
TOTAL DEAD LOAD
1-3 : (1.44 + 4.68 + 6.12)Kn/m = 12.24
2.BEAM (GROUND FLOOR E/1-3)
150
151. LIVE LOAD FROM SLAB (C-E/1-3)
LIVE LOAD FROM SLAB (E-H/1-3)
BEDROOM = 1.5Kn/m
1.5Kn/m x 2.6m /2
= 1.95Kn/m
3.7m
1 3
1.95Kn/m
2.55Kn/m
7.2Kn/m
BEDROOM = 1.5Kn/m
1.5Kn/m x 3.4m /2
= 2.55Kn/m
ULTIMATE LIVE LOAD
1-3 : 4.5Kn/m x 1.6 = 7.2Kn/m
TOTAL LIVE LOAD
1-3 : (1.95+2.55)Kn/m = 4.5Kn/m
ULTIMATE LOAD
= ULTIMATE DEAD LOAD + ULTIMATE LIVE
LOAD
= 7.2Kn/m + 17.12Kn/m
= 24.32Kn/m
R1
24.32Kn/m
R3
R1 = R3 = Point load at E/1
= 24.32Kn/m x 3.7m /2
= 44.99
2.BEAM (GROUND FLOOR E/1-3)
151
152. 24.32Kn/m
3.7m
1 3
R1 = 44.99Kn R3= 44.99Kn
44.99 Kn
0 Kn
-44.99 Kn
0 Kn
41.61Knm
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
Area of positive = area of negative
44.99 x (3.7/2) /2
= 41.61
2.BEAM (GROUND FLOOR E/1-3)
152
153. 3. BEAM (GROUND FLOOR C/1-4)
Z
GROUND FLOOR BEAM &
COLUMN LAYOUT
GROUND FLOOR PLAN
3.BEAM (GROUND FLOOR C/1-4)
GROUND FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
Z
Z
153
154. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID C/1-4 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID C/1-4 )
β’ DEAD LOAD FROM SLAB :
- GRID C-E/1-3
- GRID C-E/3-4
β’ LIVE LOAD FROM SLAB :
- GRID C-E/1-3
- GRID C-E/3-4
β’ POINT LOAD AT POINT C/3
3.BEAM (GROUND FLOOR C/1-4)
BEAM (GROUND FLOOR C/1-4) CARRIES:
2.25m 3.7m
4 3 1DEAD LOAD FROM BEAM SELF WEIGHT
(GRID C/1-4)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID C/1-4)
DEAD LOAD FROM SLAB (C-E/1-3)
DEAD LOAD FROM SLAB (C-E/3-4)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.6m /2
= 4.68Kn/m
2.7Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.25m/2 x 2/3
= 2.7Kn/m
4.68Kn/m
154
155. 2.25m 3.7m
4 3 1
21.76Kn/m 24.53Kn/m
ULTIMATE DEAD LOAD
1-3 : 17.52Kn/m x 1.4 = 24.53Kn/m
3-4 : 15.54Kn/m x 1.4 = 21.76Kn/m
LIVE LOAD FROM SLAB (C-E/1-3)
LIVE LOAD FROM SLAB (C/3-4)
Bedroom = 1.5Kn/m2
0.75Kn/m
(Bedroom factor) x (Lx/2)
= 1.5Kn/m2 x 2.6m/2
= 1.5Kn/m2 x 1.3m
= 1.95Kn/m
(Bedroom factor) x (Lx/2)
= 2.0Kn/m2 x 2.25m/2 x 2/3
= 0.75Kn/m
Toilet = 2.0Kn/m2
TOTAL DEAD LOAD
4-3 : (1.44+11.4+2.7)Kn/m = 15.54Kn/m
3-1: ( 1.44+11.4+4.68)Kn/m = 17.52Kn/m
1.95Kn/m
ULTIMATE LIVE LOAD
1-3 : 1.95Kn/m x 1.6 = 3.12Kn/m
3-4 : 0.75Kn/m x 1.6 = 1.2Kn/m
ULTIMATE LOAD
1-3 : (24.53Kn/m + 3.12) = 27.65Kn/m
3-4 : (21.76Kn/m + 1.2) = 22.96Kn/m
POINT LOAD AT C/3 = 43.8Kn (refer to page
158)
1.2Kn/m
3.12Kn/m
22.96Kn/m 27.65Kn/m
3.BEAM (GROUND FLOOR C/1-4)
43.8 Kn
155
156. 22.96Kn/m
27.65Kn/m
2.25m 3.7m
4 3 1
43.8Kn
Ra Rb
M = 0
= (5.95)(Ra) β (22.96 x 2.25)(4.825) β (43.8)(3.7) β (27.65 x 3.4)(1.85)
= 5.95Ra β 249.26 β 162.06 β 189.26
= 5.95Ra β 600.58
5.6Ra = 600.58 Kn
Ra = 100.94 Kn
F = 0
= Rb + Ra β (22.96 x 2.25) β 43.8 β (27.65 x 3.7)
= Rb + 100.67 β 51.66 β 43.8 β 102.305
= Rb β 96.83Kn
Rb = 96.83Kn
3.BEAM (GROUND FLOOR C/1-4)
156
157. 22.96Kn/m
27.65Kn/m
2.25m 3.7m
4 3 1
43.8Kn
Ra = 100.94Kn Rb = 96.83Kn
100.94 Kn
0 Kn
5.48 Kn
-96.83 Kn
0 Kn
a = (2.25 x 51.66) / 2
= 58.12Kn/m
3.7
5.48
x
169.5Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
49.28 Kn
a
b
c
d
b = 2.25 x 49.28
= 110.88Kn/m
c = (5.48 x 0.2) / 2 = 0.548
d = (96.83 x 3.5 / 2
= 169.5Kn/m
Conclusion
a + b = c + d = 0
96.83
x
3.7
5.48
96.83 + 5.48
=
=x 0.2
3.BEAM (GROUND FLOOR C/1-4)
157
158. 4. BEAM (GROUND FLOOR 3/C-E)
Z
GROUND FLOOR BEAM &
COLUMN LAYOUT
GROUND FLOOR PLAN
4. BEAM (GROUND FLOOR 3/C-E)
GROUND FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
158
159. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 3/C-E )
β’ DEAD LOAD FROM BRICK WALL WEIGHT (GRID 3/C-E)
β’ DEAD LOAD FROM SLAB :
- GRID C-E/1-3
- GRID C-E/3-4
β’ LIVE LOAD FROM SLAB :
- GRID C-E/1-3
- GRID C-E/3-4
BEAM (GROUND FLOOR 3/C-E) CARRIES:
2.6m
C EDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 1/C-H)
1.44Kn/m
3.12Kn/mDEAD LOAD FROM SLAB (C-E/1-3)
DEAD LOAD FROM SLAB (C-E/3-4)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 2.6m /2 x 2/3
= 3.12Kn/m
4.05Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.25m /2
= 4.05Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID E-H/3)
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
4. BEAM (GROUND FLOOR 3/C-E)
159
160. LIVE LOAD FROM SLAB (C-E/1-3)
LIVE LOAD FROM SLAB (C-E/3-4)
BEDROOM = 1.5Kn/m
1.5Kn/m x 2.6m /2 x 2/3
= 1.3Kn/m
2.6m
C E
1.3Kn/m
5.68Kn/m
TOILET = 2.0Kn/m
2.0Kn/m x 2.25m /2
= 2.25Kn/m
ULTIMATE LIVE LOAD
1-3 : 3.55Kn/m x 1.6 = 5.68Kn/m
TOTAL LIVE LOAD
1-3 : (1.3+2.25)Kn/m = 3.55Kn/m
ULTIMATE LOAD
= ULTIMATE DEAD LOAD + ULTIMATE LIVE
LOAD
= 28.01Kn/m + 5.68Kn/m
= 24.32Kn/m
Rc
33.69Kn/m
Re
Rc = Re = Point load at C/3
= 33.69Kn/m x 2.6m /2
= 43.80
28.01Kn/m
ULTIMATE DEAD LOAD
1-3 : 20.01Kn/m x 1.4 = 28.01Kn/m
TOTAL DEAD LOAD
1-3 : (1.44 + 11.4 + 3.12 + 4.05)Kn/m = 20.01Kn/m
4. BEAM (GROUND FLOOR 3/C-E)
2.25Kn/m
160
161. 33.69Kn/m
2.6m
C E
R1 = 43.8Kn R3= 43.8Kn
43.8 Kn
0 Kn
-43.8 Kn
0 Kn
28.47Knm
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
Area of positive = area of negative
43.8 x (2.6/2) /2
= 28.47
4. BEAM (GROUND FLOOR 3/C-E)
161
162. 5. BEAM (GROUND FLOOR 3/E-H)
Z
GROUND FLOOR BEAM &
COLUMN LAYOUT
GROUND FLOOR PLAN
5.BEAM (GROUND FLOOR 3/E-H)
GROUND FLOOR SLAB LOAD
DISTRIBUTION DIAGRAM
Z
Z
162
163. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID 3/E-H)
β’ DEAD LOAD FROM BRICK WALL WEIGHT ( GRID 3/E-H )
β’ DEAD LOAD FROM SLAB :
- GRID E-H/1-3
β’ LIVE LOAD FROM SLAB :
- GRID E-H/1-3
β’ POINT LOAD AT POINT G/3
BEAM (GROUND FLOOR 3/E-H) CARRIES:
3.4m
E G HDEAD LOAD FROM BEAM SELF WEIGHT
(GRID 3/E-H)
1.44Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID 3/E-H)
DEAD LOAD FROM SLAB (E-H/1-3)
TOTAL DEAD LOAD
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2 x 2/3
=24Kn/m3 x 0.15m x 3.4m/2 x 2/3
= 4.08Kn/m
E-H : 1.44 + 11.4 + 4.08 = 16.92Kn/m
4.08Kn/m
5.BEAM (GROUND FLOOR 3/E-H)
0.9m
ULTIMATE DEAD LOAD
E-H : 16.92Kn/m x 1.4 = 23.69Kn/m
23.69Kn/m
163
164. 3.4m
E H
LIVE LOAD FROM SLAB (E-H/3)
Bedroom = 1.5Kn/m2
(Bedroom factor) x (Lx/2) x 2/3
= 1.5Kn/m2 x 3.4m/2 x 2/3
= 1.5Kn/m2 x 1.7m
= 1.7Kn/m
ULTIMATE LIVE LOAD
E-H : 1.7Kn/m x 1.6 = 2.72Kn/m
ULTIMATE LOAD
Ultimate dead load + ultimate live load
= 26.54 + 2.72
= 29.26Kn/m
Point load at G/3 = 100.07Kn(refer to page 167)
G
1.7Kn/m
2.72Kn/m
29.26Kn/m
5.BEAM (GROUND FLOOR 3/E-H)
0.9m
29.26
Kn/m
100.07Kn/m
164
165. 29.26Kn/m
2.56m 0.84m
E G H
100.07Kn
Ra Rb
M = 0
= (3.4)(Ra) β (29.26 x 2.56)(2.12) β (100.07)(0.84) β (29.26 x
0.84)(0.42)
= 3.4Ra β 158.8 β 84.06 β 10.32
= 3.4Ra β 253.18
3.4Ra = 253.18 Kn
Ra = 74.46 Kn
F = 0
= Rb + Ra β (29.26 x 2.56) β 100.07 β (29.26 x 0.84)
= Rb + 74.46 β 74.91 β 100.07 β 24.58
= Rb β 125.1Kn
Rb = 125.1Kn
1.BEAM (GROUND FLOOR C/1-4)
165
166. 29.26Kn/m
2.56m 0.84m
E G H
100.07Kn
Ra = 74.46Kn Rb = 125.1Kn
74.46 Kn
0 Kn -0.45 Kn
-125.1 Kn
0 Kn
a = (74.46 x 2.56) / 2
= 95.3Kn/m
2.56 x
95.3Kn/m
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
100.52 Kn
a
b
c
d
b = 2.56 x 0.015 / 2
= 0.0192Kn/m
c = 100.52 x 0.84 = 84.44Kn/m
d = (24.58 x 0.84) / 2
= 10.32Kn/m
Conclusion
A = b + c + d = 0
74.46
x
2.56
0.45
74.46 + 0.45
=
=x 0.015
1.BEAM (GROUND FLOOR C/1-4)
166
168. β’ DEAD LOAD FROM BEAM SELF WEIGHT ( GRID G/3-5 )
β’ DEAD LOAD FROM BRICK WALL WEIGHT (GRID G/3-5)
β’ DEAD LOAD FROM SLAB :
- GRID E-G/3-5
β’ LIVE LOAD FROM SLAB :
- GRID E-G/3-5
BEAM (GROUND FLOOR G/3-5) CARRIES:
6.2m
E GDEAD LOAD FROM BEAM SELF WEIGHT
(GRID G/3-5)
1.44Kn/m
4.5Kn/mDEAD LOAD FROM SLAB (E-G/3-5)
*Beam size = 200mm x 300mm
*Wall size = 0.2m X 3m
*Slab thickness = 0.15m
(Density of reinforced concrete) x (Beam size)
=24Kn/m3 x 0.2m x 0.3m
= 1.44Kn/m
(Density of reinforced concrete) x (slab thickness) x
Lx/2
=24Kn/m3 x 0.15m x 2.5m /2
= 4.5Kn/m
24.28Kn/m
11.4Kn/m
DEAD LOAD FROM BRICK WALL WEIGHT
(GRID G/3-5) (assuming sliding door = brickwall)
(Density of unreinforced concrete) x (Wall size)
=19Kn/m3 x 0.2m x 3.0m
= 11.4Kn/m
6. BEAM (GROUND FLOOR G/3-5)
168
ULTIMATE DEAD LOAD
17.34Kn/m x 1.4 = 24.28Kn/m
TOTAL DEAD LOAD
1-3 : (1.44 + 11.4 + 4.5)Kn/m = 17.34Kn/m
169. LIVE LOAD FROM SLAB (C-E/1-3)
CORRIDOR = 4.0Kn/m
4.0Kn/m x 2.5m /2
= 5Kn/m
6.2m
C E
32.28Kn/m
ULTIMATE LIVE LOAD
5Kn/m x 1.6 = 8Kn/m
TOTAL LIVE LOAD
5Kn/m
ULTIMATE LOAD
= ULTIMATE DEAD LOAD + ULTIMATE LIVE
LOAD
= 24.28Kn/m + 8Kn/m
= 32.28Kn/m
Rc Re
Rc = Re = Point load at G/3
= 32.28Kn/m x 6.2m /2
= 100.07
5Kn/m
8Kn/m
6. BEAM (GROUND FLOOR G/3-5)
169
170. 32.28Kn/m
6.2m
C E
Rc = 100.07Kn Re= 100.07Kn
100.07 Kn
0 Kn
-100.07Kn
0 Kn
155.12Knm
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
BENDING MOMENT
DIAGRAM
Area of positive = area of negative
100.07 x (6.2/2) /2
= 155.12
6. BEAM (GROUND FLOOR G/3-5)
170
171. CHOOSEN COLUMNS
1. H/1
2. H/3
3. G/5
TRISTAN YU TZE-XIEN 0317729
GENERAL INFO
*Height of the floors=3m
*Brick wall 200mm thick
Dead Load= 3.0m x 0.2m x 19 kN/m3
= 11.4kN/m
*Beam size is 200mm x 300mm
Dead Load= 0.15 m x 0.3 m x 24 kN/m3
= 1.44kN/m
*Slab thickness is 150mm,
Dead Load= 0.15m x 24 kN/m3
= 3.6 kN/m2
*Column size=300 x 300mm
Dead Load= 0.3m x 0.3m x 3m x 24 kN/m3
= 6.48 kN
171
176. 1.85m
3.15m
Dead Load acting on column H/1.
Dead Load
2.15m 0.99m
Roof Level
Roof Level
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 5.8m2 x 24Kn/m3 x 0.15 kN/m2
=20.88 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.84m x 24Kn/m3 x (0.2 x 0.3)m
= 9.85 Kn
30.73Kn
1st Floor
1st Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(2.15 + 1.85)m x 19Kn/m3 x (0.2 x 3)m
=45.6 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 5.8m2 x 24Kn/m3 x 0.15 kN/m2
=20.88 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 6.84m x 24Kn/m3 x (0.2 x 0.3)m
= 9.85 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN 82.81Kn
1.85m
3.15m
2.15m
TRISTAN YU TZE-XIEN 0317729
176
177. Grd Floor
TOTAL DEAD LOAD
= (30.73 + 82.81 + 94.1)
=207.64Kn
ULTIMATE DEAD LOAD
= 207.64Kn x 1.4
= 290.7 Kn
1.85m
3.15m
2.15m
Grd Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(2.15 + 0.99 + 1.85) x 19Kn/m3 x (0.2 x 3)m
=56.89 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 5.8m2 x 24Kn/m3 x 0.15 kN/m2
=20.88 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= (2.15 + 0.99 + 1.85 + 1.85)m x 24Kn/m3 x (0.2 x 0.3)m
= 9.85 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN 94.1Kn
TRISTAN YU TZE-XIEN 0317729
177
178. 1.85m
3.15m
Live Load acting on column H/1.
Live Load
2.15m 0.99m
Roof Level
Roof Level
Slab live load :
(Total slab area) x (roof live load factor)
= 5.8m2 x 0.5Kn/m2
=2.9 Kn
2.9Kn
1st Floor
1.85m
3.15m
2.15m
1st Floor
Bedroom
(Total bedroom areas) x (bedroom factor)
=(2.15m x 1.85m) (1.5Kn/m2)
=5.97 Kn
Balcony
*Assume balcony is 1.5Kn/m2 similar to bedroom
factor
(Total balcony area) x (balcony factor)
= (0.99m x 1.85m) x 1.5 kN/m2
=2.75 Kn
8.72Kn
Grd Floor
1.85m
3.15m
2.15m
Grd Floor
Bedroom
(Total bedroom areas) x (bedroom factor)
=(2.15m x 1.85m) (1.5Kn/m2)
=5.97 Kn
Patio
*Assume patio is 1.5Kn/m2 similar to bedroom factor
(Total patio area) x (patio factor)
= (0.99m x 1.85m) x 1.5 kN/m2
=2.75 Kn
8.72Kn
TRISTAN YU TZE-XIEN 0317729
178
179. 1. COLUMN H/1
So, ultimate load acting on column H/1= 323.24 Kn
TOTAL LIVE LOAD
= (2.9 + 8.72 + 8.72) Kn
= 20.34Kn
ULTIMATE LIVE LOAD
= 20.34Kn x 1.6
= 32.54 Kn
ULTIMATE LOAD
= Untimate Dead Load + Ultimate Live Load
= 290.7Kn + 32.54Kn
= 323.24 Kn
TRISTAN YU TZE-XIEN 0317729
179
186. Dead Load acting on column G/5.
Dead Load
Roof Level
Roof Level
Roof Level
Slab dead load (assuming roof is concrete slab):
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 8.43m2 x 24Kn/m3 x 0.15 kN/m2
=30.35 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 7.9m x 24Kn/m3 x (0.2 x 0.3)m
= 11.38 Kn
41.73Kn
1st Floor
1st Floor
Walls dead load
(Total wall length) x (brick wall density) x ( wall size)
=(3.1 + 2.25)m x 19Kn/m3 x (0.2 x 3)m
=60.99 Kn
Slabs dead load
(Total slab area) x (reinforced concrete density) x (slab
thickness)
= 8.43m2 x 24Kn/m3 x 0.15 kN/m2
=30.35 Kn
Beam dead load :
(total beam length) x (reinforced concrete density) x
(Beam size)
= 7.9m x 24Kn/m3 x (0.2 x 0.3)m
= 11.38 Kn
Column
(reinforced concrete density) x (Column size)
= 24Kn/m3 x 0.3m x 0.3m x 3m
= 6.48 kN
109.2Kn
TRISTAN YU TZE-XIEN 0317729
1.3m
0.83m
3.1m
2.25m
1.3m
0.83m
3.1m
186
187. Live Load acting on column H/3.
Live Load
Roof Level
Roof Level
Slab live load :
(Total slab area) x (roof live load factor)
= 8.43m2 x 0.5Kn/m2
=4.22 Kn
4.22Kn
1st Floor
1st Floor
Corridor
(Total corridor areas) x (corridor factor)
= (3.875 + 1.625) (4.0Kn/m2)
= 22 Kn
Stair
(Total balcony area) x (balcony factor)
= (2.25 x 1.3) x 1.5 kN/m2
= 4.39 Kn
26.39Kn
Grd Floor Grd Floor
Corridor
(Total corridor areas) x (corridor factor)
= (3.875 + 1.625) (4.0Kn/m2)
= 22 Kn
Stair
(Total balcony area) x (balcony factor)
= (2.25 x 1.3) x 1.5 kN/m2
= 4.39 Kn
26.39Kn
TRISTAN YU TZE-XIEN 0317729
1.3m
0.83m
3.1m
2.25m
1.3m
0.83m
3.1m
2.25m
1.3m
0.83m
3.1m
187
188. 1. COLUMN G/5
So, ultimate load acting on column G/5= 351.33 Kn
TOTAL LIVE LOAD
= (4.22 + 26.39 + 26.39) Kn
= 57 Kn
ULTIMATE LIVE LOAD
= 57 Kn x 1.6
= 91.2 Kn
ULTIMATE LOAD
= Ultimate Dead Load + Ultimate Live Load
= 260.13 + 91.2
= 351.33 Kn
TRISTAN YU TZE-XIEN 0317729
188