final structure report

STRUCTURAL ANALYSISOF A BUNGALOW

BUILDING STRUCTURES[BLD61003]PROJECT 2

Tay Jit Ying 0319002Tan Wei Xin 0322731Ng Yi Yang 0319688

DESIGN BRIEF

Structural frame plays an important role in a building. It keeps the building

intact, provide supports of cladding, resist weather and different loads and forces. It

is important to understand the building structure analytically to aid in the safety of

building. This report aims to understand the building structure as well as the forces

and load that acts against it. A double storey bungalow is designed with a skeletal

frame to study the load distribution of the slabs, beams, columns and walls throught

the use of calculations and analysis. The house is designed with reinforcement

concrete and brick wall as the main materials.

PAGE OF CONTENT

1.0 Floor Plans

1.1 Ground Floor Plan

1.2 First Floor Plan

1.3 Roof Plan

2.0 Structural Plan

2.1 Foundation Plan


2.3 FIrst Floor Plan

2.4 Roof Plan

3.0 Quantity Life and Dead Loads Acting On Structure

4.0 Load Distribution Diagram



4.3 Roof Plan

5.0 Tributary Area



5.3 Roof Plan

6.0 Columns and Beams Calculation

6.1 Tay Jit Ying

6.2 Tang Wei XIn

6.3 Ng Yi Yang

1.0 FLOOR PLANS

GROUND FLOOR PLANSCALE 1 : 150

1.0 FLOOR PLANS

FIRST FLOOR PLANSCALE 1 : 150

1.0 FLOOR PLANS

ROOF PLANSCALE 1 : 150

2.0 STRUCTURAL PLANS

FOUNDATION STRUCTURAL PLANSCALE 1 : 150


GROUND FLOOR STRUCTURAL PLANSCALE 1 : 150


FIRST FLOOR STRUCTURAL PLANSCALE 1 : 150


ROOF STRUCTURAL PLANSCALE 1 : 150

3.0 Quantity Life and Dead Loads Acting On Structure

Density of MaterialsRC Concrete = 24kN/m3Brick Wall = 19kN/m3

Dead Load FactorWall = Height x Thickness x Density of Brick Wall

= 3.0m x 0.15 m x 19kN/m3= 8.55kN/m

Columns = Height x Size x Density of RC Concrete= 3.0m x (0.3m x 0.3m) x 24kN/m3= 6.48kN

Beams = Size of beams x Density of RC Concrete = (0.2m x 0.3m) x 24kN/m3

= 1.44kN/mFloor Slabs = Thickness of floor slabs x Density of RC Concrete

= 0.15m x 24kN/m3= 3.6 kN/m2

Live Load Factor

Entrance = 1.5

Living Room = 4.0

Reading Room = 3.0

Study Area = 1.5

Corridor = 4.0

Family Area = 2.0

Dining = 2 0

Wet kitchen = 3.0

Kitchen = 3.0

Bedroom = 1.5

Storeroom = 2.5

Laundry room = 3.0

Toilet = 2.0

Stairs = 1.5

Roof = 0.5

4.0 LOAD DISTRIBUTION DIAGRAM


5.0 TRIBUTARY AREA


6.1 COLUMNS AND BEAMS CALCULATIONby Tay Jit Ying

Ground floor beam G/4-6Ground floor beam 6/F-J

Columns G1Columns G3Columns G4

Ground Floor Plan

First floor beam J/3-7First floor beam 7/I-KFirst floor beam G/7-9First floor beam 7/F-I

First Floor Plan

Beam G/4-6

Ground Floor Plan

Beam G/4-6

Dead Load

Beam Self Weight

=0.2mx0.2mx24kN/m3

=1.44kN/m

Slab E-G/3-6 Self Weight

=(0.15mx24kN/m3) X 2.25m/2

=4.05kN/m

Slab G-J/4-6 Self Weight

=(0.15mx24kN/m3) X 2.5m/2

=4.5kN/m

Brick Wall Self Weight

=3.0m x 0.15m x 19kN/m3=8.55kN/m

Total Dead Load

G/4-6=18.54kN/m

Live Load

Slab E-G/4-6 (Dining)

=2.0kN/m2 x 2.25m/2

=9kN/m

Total Live Load

G/4-6 = 9kN/m

Ultimate Load

Ultimate Dead Load G/4-6 = 18.54 x 1.4

= 25.956kN/m

Ultimate Live Load G/4-6 = 9 x 1.6

= 14.4kN/m

Ultimate Load = 40.356kN/m

∑m = 0

9 = (Ra x 2.5) – (1.25 x 100.89) = 0

2.5Ra = 126.1125

Ra = 50.445kN/m

∑y = 0

50.445 – 100.89 + Rb = 0

Rb = 50.445

50.445 – (40.356 X 2.5) = –50.445

-50.445 + 50.445 = 0

Positive Area

i. 50.445 X 1.25 X ½ = 31.5281 – (1)Negative Area

ii. 50.445 X 1.25 X ½ = 31.5281 – (2)

(1) = (2)

Beam G/4-6

Ground Floor Plan

Beam 6/F-J

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab F-J/4-6 Self Weight

= 0.15m x 24kN/m3) x 2.5m/2

= 4.5kN/m


=3.0m x 0.15m x 19kN/m3=8.55kN/m

Total Dead Load

6/F-G = 9.9kN/m

6/G-J = 14.49kN/m

Live LoadSlab G-J/4-6 (Entrance)

=1.5kN/m2 X 2.5/2

=1.875kN/m

Ultimate Load

Ultimate Dead Load 6/F-G

= 9.9 X 1.4 = 13.86 kN/m

Ultimate Dead Load 6/G-J

= 14.49 X 1.4 = 20.286 kN/m

Ultimate Live Load 6/G-J

= 1.875 X 1.6 = 3 kN/m

Point Load of Beam G/4-6 = 50.445k/N

(previous question)

Ultimate Load 6/F-G = 13.86kN/m

Ultimate Load 6/G-J = 23.286kN/m

∑m = 0

(Ra X 6) – (13.86 X 5.5) – (50.445 X 5)

– (116.43 X 2.5) = 0

6Ra = 619.53

Ra = 103.255

∑y = 0

103.255 – 13.86 – 50.445 – 116.43 = Rb = 0

Rb = 77.48

103.255 – (13.86 X 1) = 89.395

89.395 – 50.445 = 38.95

38.95 – (5 X 23.286) = –77.48

–77.48 = 77.48 = 0

38.95/x = 77.48/(5–x)

116.43x = 195.75

x = 1.6727

Positive Area

i. (103.255 + 89.395) x 1 x ½ = 96.325

ii. 38.95 x 1.6727 x ½ = 32.5758

96.325 + 32.5758 = 128.9008 – (1)

Negative Area

iii. 3.3272 x 77.48 x ½

= 128.8996 – (2)

(1) = (2)

First Floor Plan

Beam J/3-7

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3=1.44kN/m


=(0.15m x 24kN/m3) x 7m/2

=12.6kN/m

Slab J-K/3-7 Self Weight

=(0.15m x 24kN/m3) x 3/m2

=5.4kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

J/3-7 = 27.99kN/m

Live Load

Slab F-J/3-7 (Living)

=4.0kN/m2 x 7m/2

= 14 kN/m

Slab J-K/3-7 (Reading)

=3.0kN/m2 x 3/2 = 4.5kN/m

Total Live Load

= 18.5kN/m

Ultimate Load

Ultimate Dead Load J/3-7

= 27.99kN/m x 1.4 = 39.186 kN/m

Ultimate Live Load J/3-7

= 18.5kN/m x 1.6 = 29.6 kN/m

Ultimate Load = 68.786 kN/m

∑m = 0

(Ra x 7) – (3.5 x 481.502) = 0

7Ra = 1685.257

Ra = 240.751 kN

∑y = 0 240.751 – 482.502 + Rb = 0

Rb = 240.751kN

240.751 – (68.786 x 7) = -240.751

-240.751 + 240.751 = 0

Positive Area

i. 240.751 x 3.5 x ½ = 421.31 - (1)

Negative Area

ii. 240.751 x 3.5 x ½ = 421.31 – (2)

(1) = (2)

First Floor Plan

Beam 7/I-K

Dead Load

Beam Self Weight =0.2m x 0.3m x 24kN/m3=1.44kN/m

Slab F-J/3-7 Self Weight =(0.15m x 24kN/m3) x 6m/2 x 2/3 = 7.2kN/m

Brick Wall Self Weight=3.0m x 0.15m x 19kN/m3=8.55kN/m

Total Dead Load7/I-J =17.19kN/m7/J-K = 9.99kN/m

Live Load

Slab F-J/3-7 (Living)=4.0kN/m2 x 6m/2x 2/3= 8kN/m

Total Live Load =8kN/m

Ultimate Load

Ultimate Dead Load 7/I-J = 17.19 x 1.4 = 24.066kN/m

Ultimate Dead Load 7/J-K = 9.99 x 1.4 = 13.986kN/m

Ultimate Live Load 7/I-J = 8 x 1.6 = 12.8kN/m

Point Load of Beam J/3-7 = 240.751k/N

(previous question)

Ultimate Load I-J = 24.066 + 12.8 = 36.866kN/m

Ultimate Load J-K = 13.986kN/mPoint Load J/3-7 = 240.751kN/m

∑m = 0

(Ra x 5) – (73.732x4) – (240.751 x 3) –

(41.958 x 1.5) = 0

5Ra = 1080.118

Ra = 216.0236

∑y = 0

216.0236 – 73.732 – 240.751 – 41.958

+ Rb = 0

Rb= 140.4174

Positive Area

i. (216.0236 + 142.2916) x 2 x½ =358.3152– (1)

Negative Area

ii. (140.4174+98.4594) x 3 x ½ = 358.3152– (2)

(1) = (2)

First Floor Plan

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab B-G/7-9 Self Weight

= (0.15m x 24kN/m3) x 6m/2 x 2/3

=7.2kN/m

Slab G-I/7-9 Self Weight

=(0.15m x 24kN/m3) x 3m/2

=5.4kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

G/7-9 = 22.59kN/m

Live Load

Slab B-G/7-9 (Study)=1.5kn/m2 x 6m/2 x 2/3=3kN/m

Slab G-I/7-9 (Toilet)= 2.0kN/m x 3m/2=3kN/m

Total Live Load = 6kN/m

Ultimate Load

Ultimate Dead Load G/7-9 = 22.59 x 1.4 = 31.626kN/m

Ultimate Live Load G7/9 = 6 x 1.6 = 9.6kN/m


∑m = 0(Rax6) – (3x247.356) = 06Ra = 742.068Ra = 123.678 ∑y = 0123.678 – 247.356 + Rb = 0Rb = 123.678

123.678 – (41.226x6) = -123.678-123.678 + 123.678 = 0

Positive Area

i. 123.678 x 3 x ½ = 185.51 –(1)

Negative Area

ii. 123.678 x 3 x ½ = 185.517 – (2)

(1) = (2)

First Floor Plan

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3=1.44kN/m

Slab B-G/7-9 Self Weight

=(0.15m x 24kN/m3) x 6m/2 x 2/3

=7.2kN/m


=(0.15m x 24kN/m3) x 6m/2 x 2/3

=7.2kN/m

Slab G-I/7-9

=(0.15 x 24kN/m3) x 3m/2 x 2/3

= 3.6kN/m


=3.0m x 0.15m x 19kN/m3=8.55kN/m

Total Dead Load

7/F-G = 24.39kN/m

7/G-I = 20.79kN/m

Live Load

Slab B-G/7-9(Study)

= 1.5kN/m x 6m/2 x 2/3

=3

Slab F-J/3-7 (Living)

= 4kN/m x 6m/2 x 2/3

=8

Slab G-I/7-9

=2kN/m x 3m/2 x 2/3

= 2

Total Live Load

7/F-G = 11kN/m

7/G-I = 10kN/m

Ultimate Load

Ultimate Dead Load 7/FG = 24.39 x 1.4

= 34.146kN/m

Ultimate Dead Load 7/GI = 20.79 x 1.4

= 29.106kN/m

Ultimate Live Load 7/FG = 11x 1.6

=17.6kN/m

Ultimate Live Load 7/GI = 10 x 1.6

=16kN/m

Point Load of Beam G/7-9 = 123.678k/N

(previous question)

Ultimate Load 7/FG = 51.746

Ultimate Load 7/GI = 45.106

Point Load G/7-9 = 123.678k/N

∑m = 0(Ra x 4) – (51.746 x 3.5) – (123.678 x 3) – (135.318 x 1.5 ) = 0

4Ra = 755.122

Ra = 188.7805

∑y = 0188.7805 – 51.746 – 123.678 – 135.318 + Rb = 0

Rb = 121.9615

13.3565/x = 121.9615/3-x

135.318x = 40.0695

X = 0.2961

Positive Areai. (188.7805 + 137.0345 ) x ½ x 1 = 162.9075ii. 13.3565 x 0.291 x ½ = 1.9434Total = 164.8509 ~ 165 – (1)

Negative Areaiii. 2.709 x 121.9615 x ½ = 165.1968 ~ 165 -- (2)

Column G1

Roof LevelDead load

Slab : (3.2m x 4.5m) x 3.6kN/m2

= 51.84kN

Beam : 4.5 x 1.44

= 6.48kN

Total : 51.84 + 6.48

= 58.32kN

Live Load

Slab: (3.2 x 4.5) x 0.5kN/m

= 7.2kN

First Floor LevelDead load

Walls: (0.75 + 1.25 + 1 + 1)m + 3kN/m

= 7 x 8.55

= 59.85kN

Slabs: (4 x 3.2)m x 3.6kN/m2

= 46.08kN

Beams: 7m x 1.44kN/m

= 10.08kN

Column : 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN

Total : 122.49kN

Live LoadBedroom : (3.2 x 4)m x 1.5kN/m2 = 19.2kN

Ground Floor Level

Dead LoadWalls: 7.1m x 8.55 = 60.705kN

Slabs: [1.6 x (0.75+1.25+1+2.5)] x 3.6 = 31.68kNBeams: (0.75+1.25+1+2.5) + (1.6 x 1.44) = 10.224kNTotal : 109.089kN

Live LoadBedroom : 3 x 1.6 x 1.5 = 7.2kNCorridor : (2.5 x 1.6) x 4 = 16kNTotal = 16 + 7.2 = 23.2kN

Ultimate Dead Load(58.32+122.49+109.89) x 1.4 = 405.8586kN

Ultimate Live Load(19.2 + 23.2 + 7.2) x 1.6 = 79.36

Ultimate Load = 405.8586 + 79.36 = 485.2186

Column G3

Roof Level

Dead Load

Slab: (4.5 x 6.3)m x 3.6kN/m2

= 102.06kN

Beam: 4.5m x 1.44kN/m

= 6.48kN

Total: 108.54kN

Live Load

Slab: (4.5 x 6.3)m x 0.5kN/m

= 14.175kN

First Floor Level

Dead Load

Walls: 10.3m x 8.55kN/m

= 88.065kN

Slabs: (2.8 x 4.5) x 3.6kN/m2

= 45.36kN

Beams: 10.3m x 1.44kN/m

= 14.832kN

Column: 0.3m x 0.3m x 3.0m x 24kN/m3

= 6.48kN

Total: 154.737kN

Live Load

Bedroom: (2.8m x 4m) x 1.5kN/m2 = 16.8kN

Corridor: (0.5m x 3m) x 4kN/m2 = 6kN

Washroom: (3.5m x 2m) x 2kN/m2 = 14kN

Living Room: (2.5m x 3.5m) x 2kN/m2 = 8.75kN

Total: 45.55kN

Ultimate Dead Load

(22.68 + 154.737)

= 177.417 x 1.4

= 248.3838kN

Ultimate Live Load

(45.55 + 14.175) x 1.6

= 95.56

Ultimate Load = 343.9438kN

Column G1

Ground Floor Level Dead Load

Walls: 11.5m x 8.55kN/m

= 98.325kN

Slabs: (3.75 x 5.5)m x 3.6kN/m2

= 74.25kN

Beams: 11.5m x 1.44kN/m

= 16.56kN

Column: 0.3m x 0.3m x 3.0m x 24kN/m3= 6.48kN

Total: 195.615kN

Live Load

Dining: [(0.75+1.25+1) x 2.5] x 2

= 15kNLiving: (2.5 x 2.5) x 4

=20kN

Entrance: (1.25 x 2.5) x 1.5

= 4.6875kN

Total: 39.6875kN

Ultimate Dead Load

195.615 x 1.4 = 273.861kN

Ultimate Live Load

39.6875 x 1.6 = 63.5


6.2 COLUMNS AND BEAMS CALCULATIONby Tang Wei Xin

Ground floor beam H/1-3Ground floor beam G-I/3Ground floor beam B-F/5Ground floor beam B/3-7Ground floor beam F/3-7Ground floor beam B-H/3 Columns B1Columns J4Columns F7

Beam H/1-3

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab B-H/1-3 Self Weight

= (0.15m x 24kN/m3) x 6m/2 x 2/3

=7.2kN/m

Slab H-I/1-3 Self Weight

= (0.15m x 24kN/m3) x 2m/2

=3.6kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load = 20.79kN/m

Live Load

Slab B-H/1-3 (Bedroom)

=1.5kN/m2 x 6m/2 x 2/3

=3kN/m

Slab H-I/1-3 (Corridor)

=4.0kN/m2 x 2m/2

=4.0kN/m

Total Live Load

=7kN/m

Ultimate Load

Ultimate Dead Load = 20.79 x 1.4 = 29.106kN/m

Ultimate Live Load = 7.0 x 1.6 = 11.2kN/m


∑m = 0

(Ra x 6) – (40.31 x 6) x 3 = 0

6Ra = 725.58

Ra = 120.93kN

∑y = 0

120.93 – (40.31 x 6) + Rb = 0

Rb = 120.93kN

Positive Area

i. 120.93 x 3 x ½

= 181.4 – (1)

Negative Area

ii. 120.93 x 3 x ½

= 181.4 – (2)

(1) = (2)

Beam G-I/3

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab B-H/1-3 Self Weight

= (0.15m x 24kN/m3) x 6m/2

=10.8kN/m


= (0.15m x 24kN/m3) x 6m/2 x 2/3

=7.2kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

G-H/3 = 20.79kN/m

H-I/3 = 8.64kN/m

Live Load


=1.5kN/m2 x 6m/2

=4.5kN/m

Slab F-J/3-7 (Living Room)

=4.0kN/m2 x 6m/2 x 2/3

=8kN/m

Total Live Load

G-H/3 = 4.5kN/m

H-I/3 = 8kN/m

Ultimate Load

Ultimate Dead Load G-H/3 = 20.79 x 1.4 = 29.11kN/m

Ultimate Dead Load H-I/3 = 8.64 x 1.4 = 12.1kN/m

Ultimate Live Load G-H/3 = 4.5 x 1.6 = 7.2kN/m

Ultimate Live Load H-I/3 = 8 x 1.6 = 12.8kN/m

Ultimate Load G-H/3 = 36.31kN/m

Ultimate Load H-I/3 = 24.9kN/m

Point Load G-H/3 = 120.93kN/m

∑m = 0

(Ra x 3) – (36.31 x 1) x 2.5 – (24.9 x 2) x 1 – (120.93 x 2) = 0

3Ra = 382.44

Ra = 127.48kN

∑y = 0

Rb + 127.48 – (36.31 x 1) - (24.9 x 2) – 120.93 = 0

Rb = 79.56kN

Positive Area

i. (127.48 + 91.17) x 1 x ½ = 109.33 – (1)

Negative Area

ii. (29.76 + 79.56) x 2 x ½ = 109.33 – (2)

(1) = (2)

Beam B-F/5

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab B-F/3-5 Self Weight

= (0.15m x 24kN/m3) x 4m/2

=7.2kN/m


= (0.15m x 24kN/m3) x 3m/2

=5.4kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

=22.59kN/m

Live Load

Slab B-F/3-5 (Washroom)

=2.0kN/m2 x 4m/2

=4kN/m

Slab B-F/5-7 (Corridor)

=4.0kN/m2 x 3m/2

=6kN/m

Total Live Load

=10kN/m

Ultimate Load

Ultimate Dead Load = 22.59 x 1.4 = 31.63kN/m

Ultimate Live Load 10kN/m x 1.6 = 16kN/m


∑m = 0

(Ra x 5) – (47.63 x5) x 2.5 = 0

Ra = 119.075kN

∑y = 0

119.075 – (47.63 x 5) + Rb = 0

Rb = 119.075kN

Positive Area

i. 119.075 x 2.5 x ½ = 148.84 – (1)

Negative Area

ii. 119.075 x 2.5 x ½ = 148.84 – (2)

(1) = (2)

Beam B/3-7

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab A-B/ 3-7 Self Weight

= (0.15m x 24kN/m3) x 4m/2

=7.2kN/m


= (0.15m x 24kN/m3) x 4m/2 x 2/3

=4.8kN/m


= (0.15m x 24kN/m3) x 3m/2 x 2/3

=3.6kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

B/3-5 = 21.99kN/m

B/5-7 = 20.79kN/m

Live Load

Slab A-B/3-7 (Bedroom)

=1.5kN/m2 x 4m/2

=3kN/m


=2.0kN/m2 x 4m/2 x 2/3

=2.67kN/m


=4kN/m2 x 3m/2 x 2/3

=4kN/m

Total Live Load

B/3-5 = 5.67kN/m

B/5-7 = 7kN/m

Ultimate Load

Ultimate Dead Load B/3-5 = 21.99 x 1.4 = 30.79kN/m

Ultimate Dead Load B/5-7 = 20.79 x 1.4 = 29.11kN/m

Ultimate Live Load B/3-5 = 5.67 x 1.6 = 9.072kN/m

Ultimate Live Load B/5-7 = 7 x 1.6 = 11.2kN/m

Ultimate Load B/3-5 = 39.862kN/m

Ultimate Load B/5-7 = 40.31kN/m

Point Load B/3-7 = 119.075kN/m

∑m = 0

(Ra x 7) – (39.862 x 4) – (40.31 x 3) x 1.5

– (119.075 x 3) = 0

Ra = 1335.88

Ra = 190.84kN

∑y = 0

190.84 – (39.862 x 4) – (40.31 x 3)

– 119.075 + Rb = 0

Rb = 208.613kN

Positive Area

i. (31.392 + 190.84) x 4 x ½ = 444.46 – (1)

Negative Area

ii. (208.613 + 87.683) x 3 x ½ = 444.46 – (2)

(1) = (2)

Beam F/3-7

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab A-B/ 3-7 Self Weight

= (0.15m x 24kN/m3) x 4m/2 x 2/3

=4.8kN/m


= (0.15m x 24kN/m3) x 3m/2 x 2/3

=3.6kN/m


= (0.15m x 24kN/m3) x 6m/2

=10.8kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

F/3-5 = 25.59kN/m

F/5-7 = 15.84kN/m

Live Load


=2.0kN/m2 x 4m/2 x 2/3

=2.67kN/m


=3.6kN/m2 x 3m/2 x 2/3

=3.6kN/m

Slab F-J/3-7 (Living room)

=4kN/m2 x 6m/2

=12kN/m

Total Live Load

F/3-5 = 14.67kN/m

F/5-7 = 15.6kN/m

Ultimate Load

Ultimate Dead Load F/3-5 = 25.59 x 1.4

= 35.826kN/m

Ultimate Dead Load F/5-7 = 15.84 x 1.4

= 22.176kN/m

Ultimate Live Load F/3-5 = 14.67 x 1.6 = 23.472kN/m

Ultimate Live Load F/5-7 = 15.6 x 1.6 = 24.96kN/m

Ultimate Load F/3-5 = 59.298kN/m

Ultimate Load F/5-7 = 47.136kN/m

Point Load F/5 = 119.075kN/m

∑m = 0

(Ra x 7) – (59.298 x 4) x 5 – (119.075 x 3)

– (47.136 x 3) x 1.5 = 0

Ra = 250.756kN

∑y = 0

250.756 – (59.298 x 4) – (47.136 x 3) – 119.075

+ Rb = 0

Rb = 246.919kN

Positive Area

i. (13.564 + 250.756) x 4 x ½ = 528.64 – (1)

Negative Area

ii. (246.919 + 105.511) x 3 x ½ = 528.64 – (2)

(1) = (2)

Beam B-H/3

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24 kN/m3

=1.44kN/m

Slab B-H/ 1-3 Self Weight

= (0.15m x 24 kN/m3) x 6m/2

=10.8kN/m


= (0.15m x 24 kN/m3) x 4m/2

=7.2kN/m

Slab F-H/3-7 Self Weight

= (0.15m x 24kN/m3) x 6m/2 x 2/3

=7.2kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

B-F/3 = 27.99kN/m

F-H/3 = 27.99kN/m

Live Load


=1.5kN/m2 x 6m/2

=4.5kN/m


=2kN/m2 x 4m/2

=4kN/m

Slab F-H/3-7 (Living room)

=4kN/m2 x 6m/2 x 2/3

=8kN/m

Total Live Load

B-F/3 = 8.5kN/m

F-H/3 = 12kN/m

Ultimate Load

Ultimate Dead Load B-F/3 = 27.99 x 1.4

= 39.186kN/m

Ultimate Dead Load F-H/3 = 27.99 x 1.4

= 39.186kN/m

Ultimate Live Load B-F/3 = 8.5 x 1.6

= 13.6kN/m

Ultimate Live Load F-H/3 = 12 x 1.6

= 19.2kN/m

Ultimate Load B-F/3 = 52.786kN/m

Ultimate Load F-H/3 = 58.386kN/m

Point Load F/3 = 250.756kN/m

∑m = 0

(Ra x 7) – (52.786 x 5) x 4.5 – (250.756 x 2)

– (58.386 x 2) x 1 = 0

Ra = 258 kN

∑y = 0

258 – (52.786 x 5) – 250.756 – (58.386 x 2)

+ Rb = 0

Rb = 373.458kN

258: 5.93 = 5 – a: a

29.65 – 5.93a = 258a

263.93a = 29.65

a = 0.11

Positive Area

i. 258 x (5 - 0.11) x ½ = 631– (1)

Negative Area

ii. (373.458 + 256.686) x 2 x ½

+ (0.11 x 5.96 x 1/2)= 631 – (2)

(1) = (2)

Column B1

Roof Level

Dead Load

Slab : (3 x 3) x (0.15 x 24 kN/m2)= 32.4kN

Beam : (3 x 3)m x 1.44kN/m=12.96kN

Total : 45.36kN

Live Load

Slab : (3 x 3) x 0.5kN/m= 4.5kN

First Floor Level

Dead Load

Walls : (3 + 3)m x 8.55kN/m=76.95kN

Slabs : (2 x 3)m + (3 x 3)m x 3.6kN/m2= 54 kN

Beams : (3 + 3 + 2))m x 1.44kN/m= 11.52kN

Column : 0.3m x 0.3m x 3.0m x 24 kN/m3= 6.48kN

Total : 148.95kN

Live Load

Bedroom : (3.3m x 3.0m) x 1.5kN/m2= 13.5kN

Total : 13.5kN

Ground FLoor Level

Dead Load

Walls : (2 + 1.5 + 1 + 0.5 + 3.2 + 3.5/2)m x 8.55kN/m= 85.0725kN

Slabs : (3.2m x 5m) x 3.6kN/m2)= 57.6kN

Beams : 9.95m x 1.44kN/m= 14.328kN


Total : 163.48kN

Live Load

Wet Kitchen : (3,2m x 3.5m) x 3.0kN/m= 33.6kN


Total : 40.8kN

Ultimate Dead Load(45.36 + 148.95 + 163.48) x 1.4 = 500.906kN

Ultimate Live Load(13.5 + 40.8)) x 1.6 = 94.08kN


Column J4

Ground Floor Level

Dead Load

Walls : (1.25 + 2.5 + 2.5 + 1.5 + 1.5/2)m x 8.55kN/m=72.675kN

Slabs : (3.75m x 4m) x 3.6kN/m2= 54 kN

Beams : (1.25 + 2.5 + 2.5 + 1.5 + 1.5/2)m x 1.44kN/m= 12.24kN


Total : 145.395kN

Live Load

Entrance : (1.25m x 2.5m) x 1.5kN/m2= 4.688 kN

Living room : (2.5m x 2.5m) x 4 kN/m2= 25 kN

Corridor : (1.5m x 3.75m) x 4 kN/m2= 22.5 kN

Total : 52.188kN

Ultimate Dead Load145.395kN x 1.4 = 203.553kN

Ultimate Live Load52.188 x 1.6 = 83.5kN


Column F7

Roof Level

Dead Load

Slabs : (6.5m x 4.5m) x 3.6kN/m2= 105.3 kN

Beams : 4.5 m x 1.44kN/m= 6.48 kN

Total : 111.78 kN

Live Load

Roof: (6.5 x 4.5) x 0.5 kN/m2= 14.625 kN

First Floor Level

Dead Load

Walls : (2 + 2 + 3)m x 8.55kN/m=59.85 kN

Slabs : (6.5m x 4.5m) x 3.6kN/m2= 105.3 kN

Beams : (2 +2 + 3 +3 )m x 1.44kN/m= 14.4 kN


Total : 186.03kN

Live Load

Study area : (3m x 3.5m) x 1.5kN/m2= 15.75 kN

Washroom : (3m x 1m) x 2 kN/m2= 6 kN

Corridor : (2m x 3.5m) x 4 kN/m2= 28 kN

Living area : (3.5m x 2m) x 4 kN/m2= 28 kN

Total : 77.75 kN

Ultimate Dead Load(111.78 + 186.03)kN x 1.4 = 416.935 kN

Ultimate Live Load(77.75 + 14.625) x 1.6 = 147.8 kN


6.3 COLUMNS AND BEAMS CALCULATIONby Ng Yi Yang

Ground floor beam 2/A-CGround floor beam C/1-3Ground floor beam E/3-6Ground floor beam C/6-8Ground floor beam 6/B-FGround floor beam 8/B-F

Columns B3Columns F6Columns B9

Beam 2/A-C

Beam 2/A-C

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab A-C/1-2 Self Weight

=(0.15m x 24kN/m3) x 3.2m/2

=5.76kN/m


=(0.15m x 24kN/m3) x 2.8m/2

=5.04kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

2/A-B = 21.09kN/m

2/B-C = 12.24kN/m

Live Load

Slab A-C/1-2 (Wet Kitchen)

=3.0kN/m2 x 3.2m/2

=4.8kN/m

Slab A-C/2-3 (Dry Kitchen)

=3.0kN/m2 x 2.8m/2

=4.2kN/m

Total Live Load

=9.0kN/m

Ultimate Load

Ultimate Dead Load 2/A-B

= 20.79 x 1.4 = 29.106kN/m

Ultimate Dead Load 2/B-C

= 12.24 x 1.4 = 17.136kN/m

Ultimate Live Load 2/A-C

= 9.0 x 1.6 = 14.4kN/m

Ultimate Load 2/A-B = 43.506kN/m

Ultimate Load 2/B-C = 31.536kN/m

∑m = 0

(Ra x 5.5) – (174.024 x 3.5) – (47.304 x 0.75)

= 0

5.5Ra = 644.478

Ra = 117.178kN

∑y = 0

117.178 – 174.024 – 47.304 + Rb = 0

Rb = 104.15kN

117.178/(4 - )x = 56.846/x

174.024x = 227.384

X = 1.307

Positive Area

i. (4.0 – 1.307) x 117.178 x ½

= 158 – (1)

Negative Area

ii. [ (1.307 x 56.846) x ½ ] +

[ (56.846 + 104.15) x 1.5 x ½

= 157.896 ~ 158 – (2)

(1) = (2)

Beam C/1-3

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m


=(0.15m x 24kN/m3) x 3.2m/2 x 2/3

=3.84kN/m


=(0.15m x 24kN/m3) x 2.8m/2 x 2/3

=3.36kN/m

Slab C-G/1-3 Self Weight

=(0.15m x 24kN/m3) x 4.5m/2

=8.1kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

C/1-2 = 21.93kN/m

C/2-3 = 21.45kN/m

Live Load

Slab A-C/1-2 (Wet Kitchen)

=3.0kN/m2 x 3.2m/2 x 2/3

=3.2kN/m

Slab A-C/2-3 (Dry Kitchen)

=3.0kN/m2 x 2.8m/2 x 2/3

=2.5kN/m

Slab C-F/6-8 (Storeroom)

=1.5kN/m2 x 4.5m/2

=3.375kN/m

Total Live Load

C/1-2 = 6.575kN/m

C/2-3 = 6.175kN/m

Ultimate Load

Ultimate Dead Load C/1-2 = 21.93 x 1.4

= 30.702kN/m

Ultimate Dead Load C/2-3 = 21.45 x 1.4

= 30.03kN/m

Ultimate Live Load C/1-2 = 6.575 x 1.6

= 10.52kN/m

Ultimate Live Load C/2-3 = 6.175 x 1.6

= 9.88kN/m

Point Load from beam 2/A-C = 104.15kN/m

Ultimate Load C/1-2 = 41.222kN/m

Ultimate Load C/2-3 = 39.91kN/m

Point Load 2/A-C = 104.15kN/m

∑m = 0

(Ra x 6) – (131.910 x 4.4) –

(104.15 x 2.8) – (83.748 x 1.4) = 0

6Ra = 989.273

Ra = 164.879kN

∑y = 0

164.879 – 131.910 –

104.15 – 83.748 + Rb = 0

Rb = 154.929kN

Positive Area

i. (164.879 + 32.969) x 3.2 x ½

= 316.557 ~ 316 – (1)

Negative Area

ii. (71.181 + 154.929) x 2.8 x ½

= 316.555 ~ 316 – (2)

(1) = (2)

Beam E/3-6

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m

Slab B-E/3-6 Self Weight

=(0.15m x 24kN/m3) x 3.75m/2

=6.75kN/m

Slab E-G/3-6 Self Weight

=(0.15m x 24kN/m3) x 2.25m/2

=4.05kN/m

Total Dead Load

=12.24kN/m

Live Load

Slab B-E/3-6 (Dining)

=2.0kN/m2 x 3.75m/2

=3.75kN/m

Slab E-G/3-6 (Dining)

=2.0kN/m2 x 2.25m/2

=2.25kN/m

Total Live Load

=6kN/m

Ultimate Load

Ultimate Dead Load = 12.24 x 1.4

= 17.136kN/m

Ultimate Live Load 6kN/m x 1.6

= 9.6kN/m


∑m = 0

(Ra x 5) – (2.5 x 133.68) = 0

5Ra = 334.2

Ra = 66.84kN

∑y = 0

66.84 - 133.68 + Rb = 0

Rb = 66.84kN

Positive Area

i. 66.84 x 2.5 x ½ = 83.55 – (1)

Negative Area

ii. 66.84 x 2.5 x ½ = 83.55 – (2)

(1) = (2)

Beam C/6-8

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m


=(0.15m x 24kN/m3) x 4m/2 x 2/3

=4.8kN/m

Slab C-F/6-8 Self Weight

=(0.15m x 24kN/m3) x 3.5m/2

=6.3kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

=21.09kN/m

Live Load

Slab A-C/6-8 (Bedroom)

=1.5kN/m2 x 4m/2 x 2/3

=2kN/m


=2.5kN/m2 x 3.5m/2

=4.375kN/m

Total Live Load

=6.375kN/m

Ultimate Load

Ultimate Dead Load = 21.09 x 1.4

= 29.526kN/m

Ultimate Live Load = 6.375 x 1.6

= 10.2kN/m


∑m = 0

(Ra x 4) – (2 x 158.904) = 0

4Ra = 317.808

Ra = 79.452kN

∑y = 0

79.452 – 158.904 + Rb = 0

Rb = 79.452kN

Positive Area

i. 79.452 x2 x ½ = 79.452 – (1)

Negative Area

ii. 79.452 x2 x ½ = 79.452 – (2)

(1) = (2)

Beam 6/B-F

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m


=(0.15m x 24kN/m3) x 4m/2

=7.2kN/m


=(0.15m x 24kN/m3) x 3.75m/2 x 2/3

=4.5kN/m

Slab C-F/6-8 Self Weight

=(0.15m x 24kN/m3) x 3.5m/2 x 2/3

=4.2kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

6/B-C = 21.69kN/m

6/C-E = 18.69kN/m

6/E-F = 14.19kN/m

Live Load


=1.5kN/m2 x 4m/2

=3kN/m

Slab B-E/3-6 (Dining)

=2.0kN/m2 x 3.75m/2 x 2/3

=2.5kN/m


=2.5kN/m2 x 3.5m/2 x 2/3

=2.917kN/m

Total Live Load

6/B-C = 5.5kN/m

6/C-E = 5.417kN/m

6/E-F = 2.917kN/m

Ultimate Load

Ultimate Dead Load 6/B-C = 21.69 x 1.4

= 30.366kN/m

Ultimate Dead Load 6/C-E = 18.69 x 1.4

= 26.166kN/m

Ultimate Dead Load 6/E-F = 14.19 x 1.4

= 19.866kN/m

Ultimate Live Load 6/B-C = 5.5 x 1.6

= 8.8kN/m

Ultimate Live Load 6/C-E = 5.417 x 1.6

= 8.667kN/m

Ultimate Live Load 6/E-F = 2.917 x 1.6

= 4.667kN/m

Point Load from beam C/6-8 = 79.452kN

Point Load from beam E/3-6 = 66.84kN


Ultimate Load 6/C-E = 34.833kN/m

Ultimate Load 6/E-F = 24.533kN/m

Point Load C/6-8 = 79.452kN

Point Load E/3-6 = 66.84kN

∑m = 0

(Ra x 5) – (58.749 x 4.25) – (79.452 x 3.5) –

(78.374 x 2.375) – (66.84 x 1.25) –

(30.666 x 0.625) = 0

5Ra = 816.619

Ra = 163.324kN

∑y = 0

163.324 – 58.749 – 79.374 –

78.374 - 66.84 – 30.666 + Rb = 0

Rb = 150.757kN

25.125/x = 53.251/(2.25-x)

78.376x = 56.531

x = 0.721

Positive Area

i. (163.324 + 104.575) x 1.5 x ½ = 200.924

ii. 25.125 x 0.721 x ½ = 9.058

Total = 209.982 ~ 210 – (1)

Negative Area

iii. 53.251 x (2.25 – 0.721) x ½ = 40.710

iv. (150.757 + 120.091) x 1.25 x ½ = 169.28

Total = 209.99 ~ 210 – (2)

(1) = (2)

Beam 8/B-F

Dead Load

Beam Self Weight

=0.2m x 0.3m x 24kN/m3

=1.44kN/m


=(0.15m x 24kN/m3) x 4m/2

=7.2kN/m


=(0.15m x 24kN/m3) x 3.5m/2 x 2/3

=4.2kN/m


=3.0m x 0.15m x 19kN/m3

=8.55kN/m

Total Dead Load

8/B-C = 14.79kN/m

8/C-F = 16.29kN/m

Live Load


=1.5kN/m2 x 4m/2

=3.0kN/m


=2.5kN/m2 x 3.5m/2 x 2/3

=2.917kN/m

Total Live Load

8/B-C = 3.0kN/m

8/C-F = 2.917kN/m

Ultimate Load

Ultimate Dead Load 8/B-C = 14.79 x 1.4

= 20.706kN/m

Ultimate Dead Load 8/C-F = 16.29 x 1.4

= 22.806kN/m

Ultimate Live Load 8/B-C = 3.0 x 1.6

= 4.8kN/m

Ultimate Live Load 8/C-F = 2.917 x 1.6

= 4.753kN/m

Point Load from beam C6/8 = 79.452kN


Ultimate Load 8/C-F = 27.559kN/m

Point Load C/6-8 = 79.452kN

∑m = 0

(Ra x 5) – (149.804 x 4.25) –

(79.452 x 3.5) – (1.75 x 96.457) = 0

5Ra = 1083.549

Ra = 216.710kN

∑y = 0

216.71 - 149.804 - 79.452 - 96.457 + Rb = 0

Rb = 109.003kN

Positive Area

i. (66.906 + 216.710) x 1.5 x ½

= 212.712 ~ 212.71 – (1)

Negative Area

ii. (12.546 + 109.003) x 3.5 x ½

= 212.711 ~ 212.71 – (2)

(1) = (2)

Column B3

Roof Level

Dead Load

Slab : [ (6.3m x 5.0m) - (2.8m x 2.0m) ] x (0.15 x 24kN/m2)= 93.24kN

Beam : 8.0m x 1.44kN/m=11.52kN

Total : 104.76kN

Live Load

Slab : [ (6.3m x 5.0m) - (2.8m x 2.0m) ] x 0.5kN/m= 12.95kN

First Floor Level

Dead Load

Walls : 11.5m x 8.55kN/m=98.325kN

Slabs : (6.5m x 5m) x 3.6kN/m2)= 117kN

Beams : 11.5m x 1.44kN/m= 16.56kN


Total : 238.365kN

Live Load



Toilet: (3.5m x 3m) x 2.0kN/m2= 21kN

Total : 45kN

Ground FLoor Level

Dead Load

Walls : 10.05m x 8.55kN/m= 85.9275kN

Slabs : (4.05m x 5m) x 3.6kN/m2)= 72.9kN

Beams : 10.8m x 1.44kN/m= 11.232kN


Total : 176.54kN

Live Load

Laundry Room : (1.25m x 2m) x 3.0kN/m= 7.5kN

Dry Kitchen : (2.8m x 3.5m) x 3.0kN/m= 29.4kN


Dining : (1.25m x 3.0m) x 2.0kN/m2= 7.5kN

Total : 50.7kN


Ultimate Live Load(12.95 + 45.0 + 50.7) x 1.6 = 173.84kN


Column F6

Ground Floor Level

Dead Load

Walls : 8.0m x 8.55kN/m=68.4kN

Slabs : [ (3.25m x 6m) - (2.0m x 3.5m) ] x 3.6kN/m2)= 45kN

Beams : 10.5m x 1.44kN/m= 15.12kN


Total : 135kN

Live Load

Storeroom : (2.0m x 2.5m) x 1.5kN/m2= 12.5kN



Entrance : (1.25m x 2.5m) x 1.5kN/m2= 4.6875

Total : 25.933kN

Ultimate Dead Load135kN x 1.4 = 189kN



Column B9

Roof Level

Dead Load

Slabs : (4m x 3.5m) x 3.6kN/m2= 50.4kN

Beams : 4.5m x 1.44kN/m= 6.48kN

Total : 56.88kN

Live Load

Slabs : (4m x 3.5m) x 0.5= 7kN

First Floor Level

Dead Load

Walls : 5.5m x 8.55kN/m=64.125kN

Slabs : [ (3.0m x 4.5m) x 3.6kN/m2= 48.6kN

Beams : 5.5m x 1.44kN/m= 10.8kN


Total : 130.005kN

Live Load

Bedroom : (3m x 2m) x 1.5kN/m2= 9kN

Study Area : (2.5m x 3.0m) x 1.5m= 11.25

Total : 20.25kN

Ground Floor Level

Dead Load





final structure report

Design