SCHOOL OF ARCHIECTURE , BUILDING AND DESIGN
BUILDING STRUCTURES (BLD61003) PROJECT 2 : STRUCTURAL ANALYSIS OF A BUNGALOW
STUDENT NAME : WESLEY WONG TECK WON 0330496 TUTOR: MR MOHAMED RIZAL
1 TABLE OF CONTENT 01 BRIEF INTRODUCITON 02 FLOOR PLANS 03 DESIGN BRIEF (QUANTITY LIFE AND DEAD LOADS ACTING ON STRUCTURE) 04 STRUCTURAL PLANS 05 LOAD DISTRIBUTION DIAGRAMS 06 TRIBUTARY AREA DIAGRAMS 07 BEAM AND COLLUMN ANALYSIS
2 01 BRIEF INTRODUCTION In this project, we are introduced to the basic process of structural design of a two-storey bungalow. It enables us to gain a holistic structural design experience including the basic concepts in structural design, engineering considerations in building strucuture, quantification of loads and stresses, as well as the estimation of the sizes of structural members.
Ground Floor
The bungalow consists of the following elements: 1 1 Powder Room 2 1 Guest Room 3 1 Living room 4 1 Kitchen 5 1 Dining Area 6 1 Bedroom with Attached Bathroom 7 2 Bedrooms 8 1 Family Room
First Floor
3 02 FLOOR PLANS Ground Floor Scale 1:100
4
First Floor Scale 1:100
5
Roof Plan Scale 1:100
6 03 DESIGN BRIEF (QUANTITY LIFE AND DEAD LOADS ACTING ON STRUCTURE) Dimension of structure Structure
Dimension
Slab
0.15m (thickness)
Wall
0.15mx3m (thicknessxheight)
Beam
0.2mx0.3m (widthxdepth)
Column
0.3mx0.3mx3m (widthxlengthxheight)
Standard Weight of Material Material
Standard Weight (kN/m3)
Brickwork
19
Reinforced Concrete
24
Standard Weight of Material Structure
Calculation
Self-weight
Concrete Slab
0.15mx24kN/m3
3.6kN/m3
Brick Wall
0.15mx3mx19kN/m3
8.55kN/m3
Beam
0.2mx0.3mx24kN/m3
1.44kN/m3
Column
0.3mx0.3mx3mx24kN/m3
6.48kN/m3
Roof
-
Dead load 1.0kN/m3 ,Live load 0.5kN/m3
7 04 STRUCTURAL PLANS Structural Foundation Plan Scale 1:100
8
Structural Ground Floor Plan Scale 1:100
9
Structural First Floor Plan Scale 1:100
10
Structural Roof Plan Scale 1:100
11 05 LOAD DISTRIBUTION DIAGRAMS Load Disribution Ground Floor Plan Scale 1:100
12
Load Disribution First Floor Plan Scale 1:100
13
Load Disribution Roof Plan Scale 1:100
14 06 TRIBUTARY AREA DIAGRAMS Tributary Area Ground Floor Plan Scale 1:100
15
Tributary Area First Floor Plan Scale 1:100
16
Tributary Area Roof Plan Scale 1:100
17 07 BEAM AND COLUMN ANALYSIS Overall Ground Floor Location of Beams 1 Ground Floor Beam 3a/C-D 2 Ground Floor Beam Beam 3-5/C
18 1 GROUND FLOOR BEAM 3a/C-D (BEAM TO BEAM CONNECTION)
19 DEAD LOAD
C
D 2.2m 1.44 kN/m
Beam 3a/C-D Self Weight =Beam size x Density of concrete =(0.2 x 0.3) m2 x 24 kN/m3 =1.44 kN/m
Slab 3-3a/C-D =slab self-weight x Lx/2 =(0.15m x 24 kN/m3) x (1.1m / 2 ) = 3.6 kN/m2 x 0.55m =1.98 kN/m
1.98 kN/m
Slab 3a-5/C-D =slab self-weight x Lx/2 x 2/3 =(0.15m x 24 kN/m3) x (2.2m / 2 ) x 2/3 = 3.6 kN/m2 x 1.1m x 2/3 =2.64 kN/m
2.64 kN/m
No brick wall. 6.06 kN/m Total dead load of C-D =(1.44+1.98+2.64) kN/m =6.06 kN/m
20 LIVE LOAD
C
D 2.2m
Beam Self Weight =Beam size x Density of concrete =(0.2 x 0.3) m2 x 24 kN/m3 =1.44 kN/m
Slab 3-3a/C-D =Live load (UBBL) x Lx/2 =1.5kN/m3 x (1.1m / 2 ) =0.825 kN/m =1.98 kN/m
0.825 kN/m
Slab 3a-5/C-D =Live load (UBBL) x Lx/2 x 2/3 =1.5 kN/m2 x (2.2m / 2 ) x 2/3 =1.1 kN/m =2.64 kN/m
1.1 kN/m
1.925 kN/m Total live load of C-D =(0.825 + 1.1) kN/m =1.925 kN/m
21 ULTIMATE LOAD
C
D 2.2m 8.484 kN/m
Ultimate dead load =Total dead load x 1.4 =6.06 kN/m x 1.4 =8.484 kN/m
Ultimate live load =Total live load x 1.6 =1.925 kN/m x 1.6 =3.08 kN/m =1.98 kN/m
Total ultimate load of of C-D =(8.484+3.08) kN/m =1.925 kN/m x 1.6 =11.564kN/m =2.64 kN/m
No brick wall.
Total dead load of C-D =(1.44+1.98+2.64) kN/m =6.06 kN/m
3.08 kN/m
11.564 kN/m
22 C
REACTION FORCES
D 2.2m 1.1m
∑ mb = 0 (Ra x 2.2) + (- 11.564x2.2)(2.2/2)=0 2.2Ra=27.985 kN =12.720 kN
1.1m
25.44 kN
∑ Fy = 0 Rb + 12.720 + (-11.564 x 2.2) = 0 Rb = 12.720 kN Ra = 12.720 kN
Rb = 12.720 kN
SHEAR FORCE DIAGRAM (V) 12.720 kN
12.720 + (-11.564 x 2.2) = -12.720 kN -12.720 + 12.720 = 0 kN
+ve -12.720 + 12.720 = 0 kN
0 kN
-ve
12.720 + (-11.564 x 2.2) = -12.720 kN
BENDING MOMENT DIAGRAM (M) 7 kNm
+ve area = 12.720 x 1.1 x 1/2 = 7 kNm -ve area = 12.720 x 1.1 x 1/2 = 7 kNm +ve area = -ve area, ∴ 7-7 = 0 kNm
0 kNm
23 2 GROUND FLOOR BEAM 3-5/C (BEAM TO COLUMN CONNECTION)
24 DEAD LOAD
3
3a
4
5
4.3m 1.1m
1.8m
Beam 3-5/C Self Weight =Beam size x Density of concrete =(0.2 x 0.3) m2 x 24 kN/m3 =1.44 kN/m
1.44 kN/m
Slab 3-5/B-C =slab self-weight x Lx/2 =(0.15m x 24 kN/m3) x (3.8m / 2 ) = 3.6 kN/m2 x 1.9m =6.84 kN/m
6.84 kN/m
Slab 3-3a/C-D =slab self-weight x Lx/2 x 2/3 =(0.15m x 24 kN/m3) x (1.1m / 2 ) x 2/3 = 3.6 kN/m2 x 0.55m x 2/3 =1.32 kN/m Slab 3a-5/C-D =slab self-weight x Lx/2 =(0.15m x 24 kN/m3) x (2.2m / 2 ) = 3.6 kN/m2 x 1.1m =3.96 kN/m
1.32 kN/m
3.96 kN/m
8.55 kN/m Brick wall self weight =Brick wall size x density of brick wall =(0.15 x 3)m2 x 19 kN/m3 =8.55 kN/m Total dead load of C-D =(1.44+1.98+2.64) kN/m =6.06 kN/m
1.4m
25 3 Total dead load of 3-3a =(1.44+6.84+1.32+8.55) kN/m = 18.15 kN/m 3a-4 =(1.44+6.84+3.96+8.55) kN/m = 20.79 kN/m 4-5 =(1.44+6.84+3.96+8.55) kN/m = 20.79 kN/m
3a
4
5
4.3m 1.1m
1.8m
20.79 kN/m 18.15 kN/m
1.4m
20.79 kN/m
26 LIVE LOAD
3
3a
4
5
4.3m 1.1m
1.8m
1.4m
2.85 kN/m Slab 3-5/B-C =Live load (UBBL) x Lx/2 =1.5kN/m3 x (3.8m / 2 ) =2.85 kN/m
Slab 3-3a/C-D =Live load (UBBL) x Lx/2 x 2/3 =1.5kN/m3 x (1.1m / 2 ) x 2/3 =0.55 kN/m
Slab 3a-5/C-D =Live load (UBBL) x Lx/2 =1.5kN/m3 x (2.2m / 2 ) =1.65 kN/m
Total dead load of C-D =(1.44+1.98+2.64) kN/m =6.06 kN/m
0.55 kN/m
1.65 kN/m
3 Total live load of 3-3a =(2.85+0.55) kN/m = 3.4 kN/m 3a-4 =(2.85+1.65) kN/m = 4.5 kN/m 4-5 =(2.85+1.65) kN/m = 4.5 kN/m
Total dead load of C-D =(1.44+1.98+2.64) kN/m =6.06 kN/m
3a
4
5
4.3m 1.1m
1.8m
4.5 kN/m 3.4 kN/m
1.4m
4.5 kN/m
3
3a
ULTIMATE LOAD
5
4.3m 1.1m
Ultimate dead load of 3-3a =Total dead load x 1.4 =18.15 kN/m x 1.4 =25.41kN/m
4
1.8m
1.4m
25.41 kN/m
29.11 kN/m 3a-4 =Total dead load x 1.4 =20.79 kN/m x 1.4 =29.11 kN/m 29.11 kN/m 4-5 =Total dead load x 1.4 =20.79 kN/m x 1.4 =29.11 kN/m Ultimate live load of 3-3a =Total live load x 1.6 =3.4 kN/m x 1.6 =5.44 kN/m =1.98 kN/m 3a-4 =Total live load x 1.6 =4.5 kN/m x 1.6 =7.2 kN/m
5.44 kN/m
7.2 kN/m
7.2 kN/m 4-5 =Total live load x 1.6 =4.5 kN/m x 1.6 =7.2 kN/m =2.64 kN/m
27
3
3a
4
5
4.3m 1.1m
1.8m
1.4m
Total ultimate load of 3-3a =(25.41+5.44) kN/m =30.85 kN/m 3a-4 =(29.11=7.2) kN/m =36.31 kN/m
36.31 kN/m
36.31 kN/m
30.85 kN/m
4-5 =(29.11=7.2) kN/m =36.31 kN/m 12.720 kN/m 36.31 kN/m Point load of 3a/C-D Rb = 12.720 kN Point load = 12.720 kN
No brick wall.
Total dead load of C-D =(1.44+1.98+2.64) kN/m =6.06 kN/m
30.85 kN/m
36.31 kN/m
28
3
3a
REACTION FORCE
4
5
29
4.3m 1.1m
∑ mb = 0 (Ra x 4.3) + (- 30.85x1.1)(3.75) +(12.720)(3.2) + ( -36.31x1.8)(2.3) +(-36.31x1.4)(0.7)=0 4.3Ra=353.87 kN Ra=82.30 kN
1.8m
1.4m
12.720 kN/m 36.31 kN/m
36.31 kN/m
30.85 kN/m
∑ Fy = 0 Rb + 82.30 + (- 30.85x1.1) + (-12.720) + (-36.31x1.8) + (-36.31x1.4) = 0 Rb + 82.30 + (-33.935) + (-12.720) + (-65.358) + (-50.834) = 0 12.720 kN/m
Rb = (162.847 - 82.30) kN = 80.547 kN
65.358 kN/m
50.834 kN/m
33.935 kN/m
Ra = 82.30 kN
Rb = 80.547 kN
3
3a
5
4.3m
SHEAR FORCE DIAGRAM (V) 1.1m
1.8m
82.30 kN
82.30 - (30.85 x 1.1 ) = 48.365 kN 48.365 - 12.720 = 35.645 kN 35.645 kN - (36.31x1.8) = -29.713 kN -29.713 - (36.31x1.4) = -80.547
4
82.30 - (30.85 x 1.1 ) = 48.365 kN
48.365 - 12.720 = 35.645 kN
+ve
0 kN
1.4m
x
-80.5447 + 80.547 = 0 kN
y
-ve 35.645 kN (36.31x1.8) = -329.713 kN
BENDING MOMENT DIAGRAM (M)
-29.713 (36.31x1.4) = -80.547
35.645/x = 29.713y, x=1.8-y 35.645y = 29.713x = 29.713 (1.8-y) y=0.818 x=1.8 -y = 1.8 - 0.818 = 0.982 +ve area = (82.3+48.365)/2 x 1.1 + 35.645x0.982x1/2 = 89.368 kNm ≈ 90 kNm -ve area = 29.713 x 0.818 x1/2 + (80.547+29.713)x1/2x1.4 = 89.335 kNm ≈ 90 kNm +ve area ≈ -ve area, ∴ (89.368-89.335) kNm = 0.033 kNm ≈ 0 kNm
30
90 kN/m
0 kNm
31 07 BEAM AND COLUMN ANALYSIS OVERALL LOCATION OF COLUMN GROUND FLOOR 1 3B 2 5D
32 07 BEAM AND COLUMN ANALYSIS OVERALL LOCATION OF COLUMN FIRST FLOOR 1 3B 2 5D
33 07 BEAM AND COLUMN ANALYSIS OVERALL LOCATION OF COLUMN ROOF PLAN 1 3B 2 5D
34 COLUMN 5D (EDGE) At Ground Floor
35 COLUMN 5D (EDGE) At First Floor
36 COLUMN 5D (EDGE) At Roof Plan
37 COLUMN 5D GROUND FLOOR Structure
Live load analysis
Dead load analysis
Slab
1.5kN/m2 x(2.2x4.3/2)m2=7.095 kN
3.6kN/m2 x(2.2x4.3/2)m2=17.03kN
Brick Wall
-
8.55 kN/m x (2.2+4.3/2) m=37.193 kN
Reinforced Concrete Beam Self Weight
-
1.44 kN/m x (2.2+4.3/2) m=6.264 kN
Column Self Weight
-
6.48 kN
Total
7.095 kN
17.03kN+37.193 kN+6.264 kN+6.48 kN =66.97 kN
Ultimate load = 1.6 (7.095) + 1.4 (66.97) = 105.11 kN FIRST FLOOR Structure
Live load analysis
Dead load analysis
Slab
1.5kN/m2 x(2.2x4.3/2)m2=7.095 kN
3.6kN/m2 x(2.2x4.3/2)m2=17.03kN
Brick Wall
-
8.55 kN/m x (2.2+4.3/2) m=37.193 kN
Reinforced Concrete Beam Self Weight
-
1.44 kN/m x (2.2+4.3/2) m=6.264 kN
Column Self Weight
-
6.48 kN
Total
7.095 kN
17.03kN+37.193 kN+6.264 kN+6.48 kN =66.97 kN
Ultimate load = 1.6 (7.095) + 1.4 (66.97) = 105.11 kN
38 COLUMN 5D ROOF FLOOR Structure
Live load analysis
Dead load analysis
Slab
0.5kN/m2 x(2.2x4.3/2)m2=2.365 kN
1.0kN/m2 x(2.2x4.3/2)m2=4.73kN
Reinforced Concrete Beam Self Weight
-
1.44 kN/m x (2.2+4.3/2) m=6.264 kN
Total
2.365 kN
4.73kN+6.264 kN =6.994 kN
Ultimate load = 1.6 (2.365) + 1.4 (6.994) = 13.58 kN
TOTAL ULTIMATE LOAD 105.11 kN + 105.11 kN + 13.58 kN = 223.8 kN
39 COLUMN 3B (INTERMEDIATE) At Ground Floor
40 COLUMN 3B (INTERMEDIATE) At First Floor
41 COLUMN 3B (INTERMEDIATE) At Roof Floor
COLUMN 3B GROUND FLOOR
42
Structure
Live load analysis
Dead load analysis
Slab
1.5kN/m2 x[(2.15x4.4)+(2.4x1.9)]m2=21.03 kN
3.6kN/m2 x[(2.15x4.4)+(2.4x1.9)]m2=50.472kN
Brick Wall
-
8.55 kN/m x (2.5+2.4) m= 41.895 kN
Reinforced Concrete Beam Self Weight
-
1.44 kN/m x (2.4+2(1.9)+2.5+2.15)m = 15.624kN
Column Self Weight
-
6.48 kN
Total
21.03 kN
50.472 kN + 41.895 kN + 15.624 kN +6.48 kN = 114.471 N
Ultimate load = 1.6 (21.03) + 1.4 (114.471) = 193.91kN FIRST FLOOR Structure
Live load analysis
Dead load analysis
Slab
1.5kN/m2 x[(2.15x4.4)+(2.4x1.9)]m2=21.03 kN
3.6kN/m2 x[(2.15x4.4)+(2.4x1.9)]m2=50.472kN
Brick Wall
-
8.55 kN/m x (2.5+2.4+2.15) m= 60.28kN
Reinforced Concrete Beam Self Weight
-
1.44 kN/m x (2.4+2(1.9)+2.5+2.15)m = 15.624kN
Column Self Weight
-
6.48 kN
Total
21.03 kN
50.472 kN + 60.28 kN + 15.624 kN +6.48 kN = 132.86 N
Ultimate load = 1.6 (21.03) + 1.4 (132.86) = 219.65kN
43 COLUMN 3B ROOF FLOOR Structure
Live load analysis
Dead load analysis
Slab
0.5kN/m2 x[(2.15x4.4)+(2.4x1.9)]m2=7.01 kN
1.0kN/m2 x[(2.15x4.4)+(2.4x1.9)])m2=14.02kN
Reinforced Concrete Beam Self Weight
-
1.44 kN/m x (2.4+2(1.9)+2.5+2.15)m=15.624 kN
Total
7.01 kN
14.02kN+15.624 kN =29.644 kN
Ultimate load = 1.6 (7.01) + 1.4 (29.644) = 52.7176kN TOTAL ULTIMATE LOAD 193.91 kN + 219.65 kN + 52.7176 = 466.28 kN