Building Structure Final report

BUILDING STRUCTURE PROJECT 2: BEAM AND COLUMN 1
School of Architecture, Building and Design
Bachelor of Science (Hons) in Architecture
Building Structure (ARC 2523/ BLD 61003)
Project 2: Beam and Column Analysis
Tutor: Ms. Norita
Group Members:
Student Name: Student ID:
Canisius Bong Wei Pheng 0318914
Joyce Wee Yi Qin 0319602
Tan Wing Hoe 0319333

Table of Contents
1.0 Brief Description of Building 3
2.0 Architectural Plan Drawings 4
2.1 Ground Floor Plan
2.2 First Floor Plan
2.3 Roof Plan
3.0 Structural Plan Drawings 7
3.3 Roof Plan
4.0 Slab System Analysis (Load Distribution) 10
4.3 Roof Plan
4.4 Identification of Types of Slab
5.0 Tributary Area 13
5.3 Roof Plan
6.0 Assumption of Life Load and Dead Load 16
6.1 Assumptions on Dead Loads Acting on Structure
6.2 Assumptions on Life Loads Acting on Structure
7.0 Individual Components Distribution 17
7.1 Beams
7.2 Columns
8.0 Beam Analysis Report 20
8.1 Canisius Bong
8.2 Joyce Wee
8.3 Tan Wing Hoe
9.0 Column Analysis Report 78
9.1 Canisius Bong
9.2 Joyce Wee
9.3 Tan Wing Hoe
10.0 Appendix 94

1.0 Brief Description of Building
In this project, we are required to design a double-storey bungalow together, carry out
structural framing and prepare structural drawings for the bungalow. The project is an
integrated component where it involves structural theory, force calculation and basic
structural proposal. This project is designed to allow the demonstration of knowledge and
understanding of building structure.
The bungalow is a 324m2 building which includes spaces such as:
(A) 1 master bedroom with attached study room, wardrobe, and bathroom
(B) 1 bedroom with attached bathroom
(C) 1 bedroom
(D) 1 guest room with attached
bathroom
(E) 1 maid room
(F) 2 bathrooms
(G) 2 living room (ground floor and first
floor)
(H) 1 family theatre
(I) 1 double volume dining room
(J) 1 dry and wet kitchen
(K) 1 laundry area
(L) 1 storeroom
(M)1 outdoor covered car porch

2.0 Architectural Plan Drawings
2.1 Ground Floor Plan (scale 1:150)

2.2 First Floor Plan (scale 1:150)

2.3 Roof Plan (scale 1:150)

3.0 Structural Plan Drawings

4.0 Slab System Analysis (Load
Distribution)

4.4 Identification of Slab System
Formula to determine slab system:
If Ly/Lx >2, one-way slab system;
If Ly/Lx ≤2, two-way slab system.

5.0 Tributary Area

5.3 Roof Plan

6.0 Assumption of Dead Load and Live
7.0 Load
6.1 Assumptions on Dead Loads Acting on Structure
(A) Slab self-weight
= 0.15 x 24kN/m3
= 3.6kN/m2
(B) Brick wall self-weight
= Wall thickness x Wall height x Density
= 0.1m x 3.0m x 19kN/m3
= 5.7kN/m
(C) Primary Beam self-weight
= Beam size x Concrete density
= 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
(D) Secondary Beam self-weight
= 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
(E) Column self-weight
= Column size x Concrete density
= 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
*All dead loads (slabs, walls, beams, columns) are assumed to have a standard size.
* Dead load factor: 1.4
6.2 Assumptions on Live Loads Acting on Structure
(A) Bedroom :1.5kN/m2
(B) Living Room :4.0kN/m2
(C) Dining Room :2.0kN/m2
(D) Kitchen :3.0kN/m2
(E) Corridor :4.0kN/m2
(F) Bathroom :2.0kN/m2
(G) Study Room :1.5kN/m2
(H) Car Porch :2.0kN/m2
(I) Stairs :1.5kN/m2
(J) Family Area :2.0kN/m2
(K) Store Room :2.5kN/m2
*All assumptions on live loads are
referred to 4th schedule of UBBL for
live loads per room functions.
* Live load factor: 1.6

8.0 Individual Components Distribution
7.1 Beams
Canisius Bong
Joyce Wee
Tan Wing Hoe

7.2 Columns
Canisius Bong
Joyce Wee
Tan Wing Hoe

9.0 Beam Analysis Report
8.1 Canisius Bong
Beam A/3-6 (Ground Floor | Primary Beam)
Dead Load:
○1 Beam self-weight = 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
○2 Brick wall self-weight = 3m x 0.1m x 19kN/m2
= 5.7kN/m
○3 Slab (A-B/3-4) = 3.6kN/m2 x (1.91m/2) x (2/3)
= 2.29kN/m
○4 Slab (A-B/ 4-6) = 3.6kN/m2 x (3.1m/2)
= 5.58kN/m
Total Dead Load:
Total Dead Load at (A/3-4) = 1.44kN/m + 5.7kN/m + 2.29kN/m
= 9.43kN/m
Total Dead Load at (A/4-6) = 1.44kN/m + 5.7kN/m + 5.58kN/m
= 12.72kN/m
Live Load:
○1 Slab (A-B/ 3-4) = Bathroom x (1.91m/2) x (2/3)
= 2.0kN/m2 x (1.91m/2) x (2/3)
= 1.27kN/m
○2 Slab (A-B/ 4-6) = Bedroom x (3.1m/2)
= 1.5kN/m2 x (3.1m/2)
= 2.33kN/m
○1 Carries self-weight – Dead Load
○2 Sab Dead Load & Live Load
 Slab 1 : Slab A-B/3-4 (Two-Way Slab)
 Slab 2 : Slab A-B/4-6 (Two-Way Slab)
○3 Brick Wall – Dead Load

Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Ultimate Load for (A/3-4) = Total Dead Load (1.4) + Total Live Load (1.6)
= 9.43kN/m (1.4) + 1.27kN/m (1.6)
= 13.20kN/m + 2.03kN/m
= 15.23kN/m
Ultimate Load for (A/4-6) = Total Dead Load (1.4) + Total Live Load (1.6)
= 12.72kN/m (1.4) + 2.33kN/m (1.6)
= 17.81kN/m + 3.73kN/m
= 21.54kN/m
Point Load
Referring to Beam A-B/4, point load from the beam is = 39.5KN
Ultimate Load Diagram
Total load for A/3-4 = 15.23kN/m x 1.91m = 29.09kN
Total load for A/4-6 = 21.54kN/m x 5.18m = 111.58kN
Reaction Forces:
∑m = 0
R1(7.09) – (15.23 x 1.91)(6.14) – 39.5 (5.18) – (21.54 x 5.18 )(2.59) = 0
R1(7.09) – 178.61 – 204.61 – 288.98 = 0
R1 = 672.2/7.09
R1 = 94.81kN -----○A
∑fy = 0
R1+R2 – 39.5 – 15.23(1.91) – 21.54(5.18) = 0 -----○B
Substitute ○A into ○B ,
94.81 + R2 – 39.5 – 15.23(1.91) – 21.54(5.18) = 0
94.81 + R2 – 39.5 – 29.09 – 111.58 = 0
R2 – 85.36 = 0
R2 = 85.36kN

Load Diagram
169
0kN0kN
Positive area – Negative area
+ve = [1/2 x (94.81 + 65.72)(1.91)] +
[1/2 x (26.22 x 1.22)]
= 153.30 + 15.99
= 169.29 ≈ 169
-ve = 1/2 x (- 85.36)(5.18-1.22
= 169.01 ≈ 169
-85.36kN
0kN
0kN0kN
26.22kN
0kN
65.72kN
94.18kN
(+)
(-)
Shear Force Diagram
Using Triangular Proportion
x/5.18 = 26.22/(26.22 + 85.36)
x = 1.22
x
0kN85.3
6
x
0kN
0kN
26.22
6
x
0kN
0kN
5.18
6
x
0kN
0kN
Bending Moment Diagram

Beam H/3-5 (First Floor | Primary Beam)
Dead Load at Beam H-I/4:
= 0.48kN/m
= 5.7kN/m
○3 Slab (H-I/3-4) = 3.6kN/m2 x (1.91m/2)
= 3.44kN/m
○4 Slab (H-I/ 4-6) = 3.6kN/m2 x (3.1m/2) x (2/3)
= 3.72kN/m
Total Dead Load at Beam H-I/4:
Total Dead Load = 0.48kN/m + 5.7kN/m + 3.44kN/m
+ 3.72kN/m
= 13.34kN/m
Live Load at Beam H-I/4:
○1 Slab (H-I/ 3-4) = Bathroom x (1.91m/2)
= 2.0kN/m2 x (1.91m/2)
= 1.91kN/m
○2 Slab (H-I/ 4-6) = Bedroom x (3.1m/2) x (2/3)
= 1.5kN/m2 x (3.1m/2) x (2/3)
= 1.55kN/m
Total Live Load at Beam H-I/4
Total Live Load = 1.91kN/m + 1.55kN/m
= 3.46kN/m
 Slab 1 : Slab H-I/3-4 (Two-Way Slab)

Ultimate Load
Ultimate Load for (H/3-5) = Total Dead Load (1.4) + Total Live Load (1.6)
= 13.34kN/m (1.4) + 3.46kN/m (1.6)
= 18.68kN/m + 5.54kN/m
= 24.22kN/m
Total load = 3.1m x 24.22kN/m
= 75.08 kN
Reactions (UDL):
Reactions = (3.1 x 24.22)/2
= 37.54kN
Load Diagram
29.09kN
0kN 0kN
0kN
-37.54kN
37.54kN
0kN
(+)
(-)
Shear Force Diagram
Point 1 = 37.54kN
Point 2 = 37.54 – (24.22 x 3.1)
= -37.54
Point 3 = -37.54 + 37.54
= 0kN
Area of Triangle
= ½ x 1.55 x 37.54
=29.09

Dead Load at Beam H/3-5:
= 1.44kN/m
= 5.7kN/m
○3 Slab (H-I/3-4) = 3.6kN/m2 x (1.91m/2) x (2/3)
= 2.29kN/m
○4 Slab (H-I/5-6) = 3.6kN/m2 x (3.1m/2)
= 5.58kN/m
Total Dead Load at Beam (H/3-5):
Total Dead Load at (H/3-4) = 1.44kN/m + 5.7kN/m + 2.29kN/m
= 9.43kN/m
Total Dead Load at (H/4-5) = 1.44kN/m + 5.7kN/m + 5.58kN/m
= 12.72kN/m
Live Load:
○1 Slab (H-I/3-4) = Bathroom x (1.91m/2) x (2/3)
= 2.0kN/m2 x (1.91m/2) x (2/3)
= 1.27kN/m
○2 Slab (H-I/4-5) = Bedroom x (3.1m/2)
= 1.5kN/m2 x (3.1m/2)
= 2.33kN/m
Ultimate Load
= 9.43kN/m (1.4) + 1.27kN/m (1.6)
= 13.20kN/m + 2.03kN/m
= 15.23kN/m
= 12.72kN/m (1.4) + 2.33kN/m (1.6)
= 17.81kN/m + 3.73kN/m
= 21.54kN/m
Point Load
Referring to Beam H-I/4, point load from the beam is = 37.54KN

Total load for H/3-4 = 15.23kN/m x 1.91m = 29.09kN
Total load for H/4-5 = 21.54kN/m x 1.79m = 38.56kN
Reaction Forces:
∑m = 0
R1(3.7) – (15.23 x 1.91)(2.75) – 37.54(1.79) – (21.54 x 1.79 )(0.90) = 0
R1(3.7) – 80 – 67.20 – 34.70 = 0
R1 = 181.97/3.7
R1 = 49.18kN -----○A
∑fy = 0
R1+R2 – 37.54 – 15.23(1.91) – 21.54(1.79) = 0 -----○B
49.18 + R2 – 37.54 – 15.23(1.91) – 21.54(1.79) = 0
49.18 + R2 – 37.54 – 29.09 – 38.56 = 0
R2 – 56.01 = 0
R2 = 56.01kN

Load Diagram
-17.41kN
0kN
66
0kN0kN
Area of Trapezium at (+) area
= (49.18 + 20.09) x 1.91/2
=66.15 ≈ 66
Area of Trapezium at ( - ) area
= (-17.41 – 56.01) x 1.79/2
= -65.71 ≈ 66
Area of ( + ) area + Area of ( - ) area
= 66-66
=0
-56.01kN
0kN
0kN0kN
20.09kN
49.18kN
(+)
(-)
Shear Force Diagram

Beam H-I/6 (First Floor | Secondary Beam)
Dead Load:
= 0.48kN/m
= 5.7kN/m
○3 Slab (H-I/4-6) = 3.6kN/m2 x (3.1m/2) x (2/3)
= 3.72kN/m
○4 Slab (H-I/6-7) = 3.6kN/m2 x (2.67m/2)
= 4.81kN/m
Total Dead Load
+ 4.81kN/m
= 14.71kN/m
Live Load:
○1 Slab (H-I/4-6) = Bedroom x (3.1m/2) x (2/3)
= 1.5kN/m2 x (3.1m/2) x (2/3)
= 1.55kN/m
= 1.5kN/m2 x (2.67m/2)
= 2.00kN/m
Total Live Load
= 3.55kN/m

Ultimate Load
Ultimate Load for (H-I/6) = Total Dead Load (1.4) + Total Live Load (1.6)
= 14.71kN/m (1.4) + 3.55kN/m (1.6)
= 20.59kN/m + 5.68kN/m
= 26.27kN/m
= 81.44kN
Reactions (UDL):
Reactions = (3.1 x 26.27)/2
= 40.72kN
Load Diagram
31.56kN
0kN 0kN
0kN
-40.72kN
40.72kN
0kN
(+)
(-)
Shear Force Diagram
Point 1 = 40.72 kN
Point 2 = 40.72 – (26.27x 3.1)
= -40.72
Point 3 = -40.72 + 40.72
= 0kN
Area of Triangle
= ½ x 1.55 x 40.72
=31.56

Beam I/5-7 (First Floor | Primary Beam)
Dead Load
at Beam H/3-5:
= 1.44kN/m
= 5.7kN/m
○3 Slab (H-I/3-4) = 3.6kN/m2 x (3.1m/2)
= 5.58kN/m
○4 Slab (H-I/5-6) = 3.6kN/m2 x (2.67m/2) x (2/3)
= 3.20kN/m
○5 Slab (I-L/5-7) = 3.6kN/m2 x (5.8 m/2)
= 10.44kN/m
Total Dead Load
Total Dead Load at (I/5-6) = 1.44kN/m + 5.7kN/m + 5.58kN/m
+ 10.44kN/m
= 23.16kN/m
Total Dead Load at (I/6-7) = 1.44kN/m + 5.7kN/m + 3.20kN/m
+ 10.44kN/m
= 20.78kN/m
Live Load:
= 1.5kN/m2 x (3.1m/2)
= 2.33kN/m
○2 Slab (H-I/6-7) = Bedroom x (2.67m/2) x (2/3)
= 1.5kN/m2 x (2.67m/2) x (2/3)
= 1.34kN/m
○3 Slab (I-L/5-7) = Bedroom x (5.8m/2)
= 1.5kN/m2 x (5.8/2)
=4.35kN/m
 Slab 3 : Slab I-L/5-7 (Two-Way Slab)

Total Live Load
Total live load at (I/5-6) = 2.33kN/m + 4.35kN/m
= 6.68kN/m
Total live load at (I/6-7) = 1.34kN/m + 4.35kN/m
= 5.69kN/m
Ultimate Load
Ultimate Load for (I/5-6) = Total Dead Load (1.4) + Total Live Load (1.6)
= 23.16kN/m (1.4) + 6.68kN/m (1.6)
= 32.42kN/m + 10.69kN/m
= 43.11kN/m
Ultimate Load for (I/6-7) = Total Dead Load (1.4) + Total Live Load (1.6)
= 20.78kN/m (1.4) + 5.69kN/m (1.6)
= 29.09kN/m + 9.10kN/m
= 38.19kN/m
Point Load
Referring to Beam H-I/6 point load from the beam is = 40.72KN
Total load for I/5-6 = 43.11kN/m x 3.39m = 146.14kN
Total load for I/6-7 = 39.19kN/m x 2.67m = 101.97kN
Reaction Forces:
∑m = 0
R1(6.06) – (43.11 x 3.39)(4.37) – 40.72(2.67) – (38.19 x 2.67 )(1.34)= 0
R1(6.06) – 638.64 – 108.72– 138.17 = 0
R1 = 885.53/6.06
R1 = 146.12kN -----○A

∑fy = 0
R1+R2 – 40.72 – 43.11(3.39) – 38.19(2.67) = 0 -----○B
146.12 + R2 – 40.72 – 43.11(3.39) – 38.19(2.67) = 0
146.12 + R2 – 40.72 – 146.14 – 101.97 = 0
R2 – 142.71= 0
R2 = 142.71kN
Load Diagram
.
-40.74kN
0kN
-142.71kN
0kN
0kN0kN
-0.02kN
146.12kN
(+)
(-)
Shear Force Diagram
Using Triangular Proportion
x/3.39 = 146.12/146.14
x = 3.39
146.12
6
x
0kN
0kN
146.14
6
x
0kN
0kN
x
0kN
+ve = 1/2 x (146.12)(3.39)
= 247.67 ≈ 247
-ve = [1/2 x (- 142.71 + -40.74)(2.67)
+[1/2 x (-0.02 x 3.39)
= -246.91 + -0.03
= -246.94 ≈ -247
247-247 = 0
0kN
247
0kN

Beam H-K/7 (First Floor | Primary Beam)
Dead Load:
= 1.44kN/m
= 5.7kN/m
○3 Slab (H-I/6-7) = 3.6kN/m2 x (2.67m/2)
= 4.81kN/m
○4 Slab (I-L/5-7) = 3.6kN/m2 x (5.8 m/2)
= 10.44kN/m
Total Dead Load
Total Dead Load at (H-I/7) = 1.44kN/m + 5.7kN/m + 4.81kN/m
= 11.95kN/m
Total Dead Load at (I-K/7) = 1.44kN/m + 5.7kN/m + 10.44kN/m
= 17.58kN/m
Live Load:
= 1.5kN/m2 x (2.67m/2)
= 2.00kN/m
= 1.5kN/m2 x (5.8m/2)
= 4.35kN/m
Ultimate Load
 Slab 2 : Slab I-L/5-7(Two-Way Slab)

Ultimate Load for (H-I/) = Total Dead Load (1.4) + Total Live Load (1.6)
= 11.95kN/m (1.4) + 2.00kN/m (1.6)
= 16.73kN/m + 3.2kN/m
= 19.93kN/m
Ultimate Load for (I-K/7) = Total Dead Load (1.4) + Total Live Load (1.6)
= 17.58kN/m (1.4) + 4.35kN/m (1.6)
= 24.61kN/m + 6.96kN/m
= 31.57kN/m
Point Load
Referring to Beam I/5-7, point load from the beam is = 142.71KN
Total load for H-I/7 = 19.93kN/m x 3.1m = 61.78kN
Total load for I-K/7 = 31.57kN/m x 3.21m = 101.34kN
Reaction Forces:
∑m = 0
R1(6.31) – (19.93 x 3.1)(4.76) – (142.71 X 3.21) – (31.57 x 3.21 )(1.61)= 0
R1(6.31) – 294.09 – 1458.10– 163.16 = 0
R1 = 915.35/6.31
R1 = 145.06kN -----○A
∑fy = 0
R1+R2 – 142.71 – 19.93(3.1) – 31.57(3.21) = 0 -----○B
145.06 + R2 – 142.71 – 19.93(3.1) – 31.57(3.21) = 0
145.06 + R2 – 142.71 – 61.78 – 101.34 = 0
R2 – 160.77 = 0
R2 = 160.77kN

Load Diagram
0kN
0kN
0kN
-59.43kN
0kN
353
-160.77kN
0kN
0kN
83.28kN
145.06kN
(+)
(-)
Shear Force Diagram
+ve = 1/2 x (146.12)(3.39)
= 247.67 ≈ 247
-ve = [1/2 x (- 142.71 + -40.74)(2.67)
+[1/2 x (-0.02 x 3.39)
= -246.91 + -0.03
= -246.94 ≈ -247
247-247 = 0
Area of Trapezium at (+) area
= (145.06 + 83.28) x 3.1/2
=353.93 ≈ 353
Area of Trapezium at ( - ) area
= (-59.43 – 160.77) x 3.21/2
= -353.43 ≈ 353
Area of ( + ) area + Area of ( - ) area
= 353-353
=0

Beam H-I/6 (First Floor | Secondary Beam)
Dead Load:
= 1.44kN/m
= 5.7kN/m
○3 Slab (I-N/3-5) = 3.6kN/m2 x (3.7m/2)
= 6.66kN/m
○4 Slab (I-L/5-7) = 3.6kN/m2 x (5.8m/2)
= 10.44kN/m
Total Dead Load
+ 10.44kN/m
= 24.24kN/m
Live Load:
○1 Slab (I-N/3-5) = Living Room x (3.7m/2)
= 4.0kN/m2 x (3.7m/2)
= 7.4kN/m
= 1.5kN/m2 x (5.8m/2)
= 4.35kN/m
Total Live Load
= 11.75kN/m
 Slab 1 : Slab I-N/3-5 (One-Way Slab)
 Slab 2 : Slab I-LI/5-7 (Two-Way Slab)

Ultimate Load
Ultimate Load for (H-I/6) = Total Dead Load (1.4) + Total Live Load (1.6)
= 24.24kN/m (1.4) + 11.75kN/m (1.6)
= 33.94kN/m + 18.8kN/m
= 52.74kN/m
= 305.89kN
Reactions (UDL):
Reactions = (5.8 x 52.74)/2
= 152.95kN
Load Diagram
Shear Force Diagram
221.78kN
0kN 0kN
0kN
-152.95kN
152.95kN
0kN
(+)
(-)
Point 1 = 152.95kN
Point 2 = 152.95 – (52.74x 5.8)
= -152.95
Point 3 = -152.95 + 152.95
= 0kN
Area of Triangle
= ½ x 2.9 x 152.95
=221.78

8.2 Joyce Wee
Beam A-B/4 (Ground Floor | Secondary Beam)
Dead Load:
○1 Slab (A-B/ 3-4) = 3.6kN/m2 x (1.91m/2)
= 3.44kN/m
○2 Slab (A-B/ 4-6) = 3.6kN/m2 x (3.1m/2) 2/3
= 3.72kN/m
○3 Brick wall weight = 3m x 0.1m x 19kN/m3
=5.7kN/m
= 0.48kN/m
Total Dead Load:
Total Dead Load = 3.44 + 3.72 + 5.7 + 0.48
= 13.34kN/m
Live Load:
○1 Slab (A-B/ 3-4) = Bathroom x (1.91m/2)
= 2.0kN/m2 x (1.91m/2)
= 1.91kN/m
= 1.5kN/m2 x (3.1m/2)
= 2.33kN/m
Total Live Load:
=4.24kN/m

Ultimate Load:
Ultimate Load = TDL(1.4) + TLL(1.6)
= 13.34(1.4) + 4.24(1.6)
= 25.46kN/m
Load Diagram for Beam (A-B/4)
Reaction Force:
∑m = 0
(RA x 3.1) – (25.46 x 3.1)(1.55) = 0
RA(3.1) – 122.34 = 0
RA = 122.34/3.1
RA = 39.46kN -----○A
∑fy = 0
RA + RB + (-25.46 x 3.1) = 0 -----○B
Substitute ○A into ○B
39.46 + RB – 78.926 = 0
RB = 78.926 – 39.46
RB = 39.5kN

Shear Force Diagram
Point 1 = 39.46kN
Point 2 = 39.46 + (-25.46 x 3.1)
= 39.46 x 78.926
= -39.5K
Point 3 = -39.5 + 39.5
= 0kN
Peak = (39.46 x 1.55) x ½
= 30.58

Beam B-D/5 (Ground Floor | Secondary Beam)
Dead Load:
○1 Slab (B-D/3-5) = 3.6kN/m2 x (3.21m/2) 2/3
= 3.85kN/m
○2 Slab (B-D/5-6) = 3.6kN/m2 X (3.21m/2)2/3
= 3.85kN/m
= 0.48kN/m
Total Dead Load:
Total Dead Load = 3.85 + 3.85 + 0.48
= 8.18kN/m
Live Load:
○1 Slab (B-D/3-5) = Stairs x (3.21m/2)2/3
= 1.5kN/m2 x (3.21m/2)2/3
= 1.605kN/m
At Slab (B-D/3-5),
Slab : Stairs = 3.21m : 1.4m
1.605 : α = 3.21 : 1.4
1.605/a = 3.21/1.4
a = 0.7kN/m

○2 Slab (B-D/3-5) = Corridor x (3.21m/2)2/3
= 4.0kN/m2 x (3.21m/2)2/3
= 4.28kN/m
At Slab (B-D/3-5),
Slab : Corridor = 3.21m : 1.81m
4.28 : α = 3.21 : 1.81
4.28/a = 3.21/1.81
a = 2.41kN/m
○3 Slab (B-D/3-5) = Stairs x (3.21m/2)2/3
= 1.5kN/m2 x (3.21m/2)2/3
= 1.605kN/m
At Slab (B-D/3-5),
Slab : Stairs = 3.21m : 1.4m
1.605 : α = 3.21 : 1.4
1.605/a = 3.21/1.4
a = 0.7kN/m
○4 Slab (B-D/3-5) = Corridor x (3.21/2)2/3
= 4.0kN/m2 x (3.21/2)2/3
= 4.28kN/m
At Slab (B-D/3-5),
Slab : Corridor = 3.21m : 1.81m
4.28 : α = 3.21 : 1.81
4.28/a = 3.21/1.81
a = 2.41kN/m
Total Live Load:
Total Live Load at (B-C) = 0.7 + 0.7
= 1.4kN/m
Total Live Load at (C-D) = 2.41 + 2.41
= 4.82kN/m

Ultimate Load:
Ultimate Load at (B-C) = TDL(1.4) + TLL(1.6)
= 8.18(1.4) + 1.4(1.6)
= 13.69kN/m
Ultimate Load at (C-D) = TDL(1.4) + TLL(1.6)
= 8.18(1.4) + 4.82(1.6)
= 19.16kN/m
Load Diagram of Beam (B-D/5):
Reaction Forces:
∑m = 0
RB(3.21) – (19.16 x 1.81)(0.91) – (13.69)(2.51) = 0
RB(3.21) – 31.56 – 34.36 = 0
RB = 65.92/3.21
RB = 20.54kN/m -----○A
∑fy = 0
RB+RD-(13.69 X 1.4) – (19.16 X 1.81) = 0 -----○B
20.54 + RD – 19.17 – 34.68 = 0
RD = 53.85 - 20.54
RD = 33.31kN/m

Shear Force Diagram:
Point 1 = 20.54
Point 2 = 20.54 – (13.69 x 1.4)
= 1.374
Point 3 = 1.374 – (19.16 x 1.81)
= -33.31
Point 4 = -33.31 + 33.31
= 0
Bending Moment Diagram:
Bending Moment 1
= (20.54 + 1.374)/2 x 1.4
= 15.34
Bending Moment 2
= 15.3398 + (1.374 x 0.3)/2
= 15.55

Beam B/3-6 (Ground Floor | Primary Beam)
Dead Load:
○1 Slab (A-B/3-4) = 3.6kN/m2 x (1.91m/2) 2/3
= 2.29kN/m
○2 Slab (A-B/4-6) = 3.6kN/m2 x (3.1m/2)
= 5.58kN/m
○3 Slab (B-D/3-5) = 3.6kN/m2 x (3.21m/2)
= 5.78kN/m
○4 Slab (B-D/5-6) = 3.6kN/m2 x (3.21m/2)
= 5.78kN/m
○5 Brick wall weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
= 1.44kN/m
Total Dead Load:
Total Dead Load at (B/3-4) = 2.29 + 5.78 + 5.7 + 1.44
= 15.21kN/m
= 18.5kN/m
= 18.5kN/m
Live Load:
○1 Slab (A-B/ 3-4) = Bathroom x (1.91m/2) 2/3
= 2.0kN/m2 x (1.91m/2) 2/3
= 1.27kN/m

= 1.5kN/m2 x (3.1m/2)
= 2.33kN/m
○3 Slab (B-D/ 3-4) = Stairs x (3.21m/2)
= 1.5kN/m2 x (3.21m/2)
= 2.41kN/m
○4 Slab (D-F/ 5-6) = Stairs x (3.21m/2)
= 1.5kN/m2 x (3.21m/2)
= 2.41kN/m
Total Live Load:
Total Live Load at (B/3-4) = 1.27 + 2.41
= 3.68kN/m
= 4.74kN/m
= 4.74kN/m
Ultimate Load:
Ultimate Load at (B/3-4) = TDL(1.4) + TLL(1.6)
= 15.21(1.4) + 3.68(1.6)
= 27.18kN/m
Ultimate Load at (B/4-6) = TDL(1.4) + TLL(1.6)
= 18.5(1.4) + 4.74(1.6)
= 33.48kN/m
Load Diagram of Beam (B/3-6):
○1 Referring to Beam (A-B/4), Point Load at B/4 = 39.5kN
○2 Referring to Beam (B-D/5), Point Load at B/5 = 20.76kN

Reaction Force:
∑m = 0
RB3(7.09) – (27.18 x 1.91)(6.14) – (39.5)(5.18) – (20.76)(3.39) – (33.48 x 5.18)(2.59) = 0
RB3(7.09) – 318.75 – 204.61 – 70.38 – 449.17 = 0
RB3 = 1042.91/7.09
RB3 = 147.1kN -----○A
∑fy = 0
RB3 + RB6 – 39.5 – 20.76 – 27.18(1.91) – 33.48(5.18) = 0 -----○B
147.1 + RB6 – 39.5 – 20.76 – 51.91 – 173.43 = 0
RB6 = 138.5kN

Point 1 = 147.1
Point 2 = 147.1 – (27.18 x 1.91)
= 95.19
Point 3 = 95.19 – 39.5
= 55.69
Point 4 = 55.69 – (33.48 x 1.79)
= -4.24
Point 5 = -4.24 – 20.76
= -25
Point 6 = -25 – (33.48 x 3.39)
= - 138.5
Bending Moment Diagram:
Bending Point 1
= (147.1 + 95.19)/2 x 1.91
= 231.39
Bending Point 2
= 231.39 + (55.69 x 1.662)/2
= 277.67
Bending Point 3
= 277.67 – (4.24 x 0.128)/2
= 277.4
Bending Point 4
= 277.4 – (25 + 138.5)/2 x 3.39
= 0

Beam J/1-3 (First Floor | Secondary Beam)
Dead Load at Beam (J-K/2):
○1 Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)2/3
= 2.172kN/m
○2 Slab (J-K/2-3) = 3.6kN/m2 x (1.6m/2)
= 2.88kN/m
○3 Brick Wall Load = 3.0m x 0.1m x 19kN/m3
= 5.7kN/m
○4 Beam Self-Weight = 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
Total Dead Load at Beam (J-K/2):
Total Dead Load = 2.17 + 2.88 + 5.7 + 0.48
= 11.23kN/m
Live Load:
1 Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3
= 2.0kN/m2 x (1.81m/2)2/3
= 1.21kN/m
2 Slab (J-K/2-3) = Bedroom x (1.6m/2)
= 1.5kN/m2 x (1.6m/2)
= 1.2kN/m
Total Live Load at Beam (J-K/2):
Total Live Load = 1.21 + 1.2
= 2.41kN/m
Ultimate Load at Beam (J-K/2):

= 11.23(1.4) + 2.41(1.6)
= 19.58kN/m2
Load Diagram of beam (J-K/2):
Reaction Force
∑m = 0
RJ (1.81) – (19.58 x 1.81)(0.91) = 0
RJ (1.81) – 32.35 = 0
RJ = 32.25/1.81
RJ = 17.82kN -----○A
∑fy = 0
RJ + RK – (19.58) (1.81) = 0 -----○B
17.82 + RK – 35.44 = 0
RK = 17.62kN

Dead Load at Beam J/1-3
○1 Slab (H-J/1-3) = 3.6kN/m2 x (4.19m/2)2/3
= 5.03kN/m
○2 Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)
= 3.26kN/m
○3 Slab (J-K/2-3) = 3.6kN/m2 x (1.6m/2)2/3
= 1.92kN/m
○4 Brick Wall Weight = 3.0m x 0.1m x 19kN/m3
= 5.7kN/m
○5 Beam Self Weight = 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
Total Dead Load at Beam (J/1-3):
Total Dead Load at (J/1-2) = 5.03 + 3.26 + 5.7 + 0.48
= 14.47kN/m
Total Dead Load at (J/2-3) = 5.03 + 1.92 + 5.7 + 0.48
= 13.13kN/m
Live Load at Beam J/1-3
○1 Slab (H-J/1-3) = Bedroom x (4,19m/2)2/3
= 1.5kN/m2 x (4.19m/2)2/3
= 2.095kN/m
○2 Slab (J-K/1-2) = Bathroom x (1.81m/2)
= 2.0kN/m2 x (1.81m/2)
= 1.81kN/m
○3 Slab J-K/2-3) = Bedroom x 1.6m/2)2/3
= 1.5kN/m2 x 1.6m/2)2/3
= 0.8kN/m
Total Live Load at Beam J/1-3:
Total Live Load at (J/1-2) = 2.095 + 1.81
= 3.905kN/m
Total Live Load at (J/2-3) = 2.095 + 0.8
= 2.895kN/m
Ultimate Load at Beam J/1-3
Ultimate Load at (J/1-2) = TDL (1.4) + TLL (1.6)
=14.47(1.4) + 3.905(1.6)

= 26.51kN/m
Ultimate Load at (J/2-3) = TDL (1.4) + TLL (1.6)
= 13.13(1.4) + 2.9(1.6)
= 23.02kN/m
Load Diagram of Beam (J/1-3):
○1 Referring to Beam (J-K/2), Point Load at J/2 = 17.82kN
∑m = 0
RJ1(4.19) – (23.02 x 1.6) (0.8) – (17.82) (1.6) – (26.51 x 2.59) (2.9) = 0
RJ1(4.19) – 29.47 – 28.512 – 199.12 = 0
RJ1 = 257.1/4.19
RJ1 = 61.36kN -----○A
∑fy = 0
RJ1 + RJ2 – 17.82 – (26.51 x 2.59) – (23.02 x 1.6) = 0 -----○B
61.36 + RJ2 – 17.82 – 68.66 – 36.83 = 0
RJ2 = 61.95kN

Shear Force Diagram
Point 1 = 61.36
Point 2 = 61.36 – (26.51 x 2.59)
= -7.3
Point 3 = -7.3 – 17.82
= -25.12
Point 4 = -25.12 – (23.02 x 1.6)
= -61.95
Point 5 = -61.95 + 61.95
Bending Point 1
= (61.36 x 2.3)/2
= 70.56
Bending Point 2
= 70.56 – (7.3 x 0.29)/2
= 69.5

Beam H-K/1 (First Floor | Primary Beam)
Dead Load:
○1 Slab (H-J/1-3) = 3.6kN/m2 x (4.19m/2)
= 7.542kN/m
○2 Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)2/3
= 2.17kN/m
○3 Brick Wall Weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
= 1.44kN/m
Total Dead Load:
Total Dead Load at (H-J) = 7.542 + 5.7 + 1.44
= 14.68kN/m
Total Dead Load at (J-K) = 2.17 + 5.7 + 1.44
= 9.31kN/m
Live Load:
○1 Slab (H-J/1-3) = Bedroom x (4.19m/2)
= 1.5kN/m2 x (4.19m/2)
= 3.14kN/m
○2 Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3
= 2.0kN/m2 x (1.81/2)2/3
= 1.21kN/m
Total Live Load:
Total Live Load at (H-J) = 3.14kN/m
Total Live Load at (J-K) = 1.21kN/m
Ultimate Load:

Ultimate Load at (H-J) = TDL (1.4) + TLL (1.6)
=14.68(1.4) + 3.14(1.6)
= 25.57kN/m
Ultimate Load at (J-K) = TDL (1.4) + TLL (1.6)
= 9.31(1.4) + 1.21(1.6)
= 14.97kN/m
Load Diagram of Beam (H-K/1):
○1 Referring to Beam (J/1-3), Point Load at J/1 = 61.36kN
∑m = 0
RH (6.3) – (25.57 X 4.49) (4.06) – (61.36) (1.81) – (14.97 X 1.81) (0.91) = 0
RH (6.3) – 466.13 – 111.06 – 24.66 = 0
RH = 601.85/6.3
RH = 95.53kN/m -----○A
∑fy = 0
RH + RK – 61.36 – (25.57 X 4.49) – (14.97 X 1.81) = 0 -----○B
95.53 + RK – 61.36 – 114.81 – 27.1 = 0
RK = 107.34kN

Shear Force Diagram
Point 1 = 95.53
Point 2 = 95.53 – (25.57 x 4.49)
= -19.28
Point 3 = -19.28 – 61.36
= -80.64
Point 4 = -80.64 – (14.97 x 1.81)
= -107.34
Point 5 = -107.34 + 107.34
= 0
Bending Point 1
= (95.53 x 3.73)/2
= 178.163
Bending Point 2
= 178.163 - (19.28 x 0.76)/2
= 170.837
Bending Point 3
= 170.837 – (80.64 + 107.34)/2 x 1.81
= 0

Beam I-K/3 (First Floor | Primary Beam)
Dead Load
○1 Slab (H-J/1-3) = 3.6kN/m2 x (4.49m/2)
= 7.54kN/m
○2 Slab (I-N/3-5) = 3.6kN/m2 x (4.71/2)
= 8.48kN/m
○3 Slab (J-K/2-3) = 3.6kN/m2 x (1.6/2)
= 2.88kN/m
= 5.7kN/m
= 1.44kN/m
Total Dead Load:
Total Dead Load at (I-J) = 7.54 + 8.48 + 5.7 + 1.44
= 23.16kN/m
Total Dead Load at (J-K) = 18.5kN/m
Live Load:
○1 Slab (H-J/1-3) = Bedroom x (4.49m/2)
= 1.5kN/m2 x (4.49m/2)
= 3.37kN/m
○2 Slab (I-N/3-5) = Living Room x (4.71m/2)
= 4.0kN/m2 x (4.71m/2)
= 9.4kN/m

○3 Slab (J-K/2-3) = Bedroom x (1.6m/2)
= 1.5kN/m2 x(1.6m/2)
= 1.2kN/m
Total Live Load:
Total Live Load at (I-J) = 3.37 + 9.4
= 12.77kN/m
Total Live Load at (J-K) = 9.4 + 1.2
= 10.6kN/m
Ultimate Load:
Ultimate Load at (I-J) = TDL (1.4) + TLL (1.6)
= 23.16(1.4) + 12.77(1.6)
= 52.85kN/m
Ultimate Load at (J-K) = TDL(1.4) + TLL(1.6)
= 18.5(1.4) + 10.6(1.6)
= 42.86kN/m
Load Diagram of Beam (I-K/3):
○1 Referring to Beam (J/1-3), Point Load at J/3 = 61.95kN/m
∑m = 0
RI(3.21) – (52.85 x 1.4) (2.51) – (61.95) (1.81) – (42.86 x 1.81) (0.91) = 0
RI(3.21) – 185.71 – 112.13 – 70.59 = 0
RI = 368.43/3.21
RI = 114.76kN -----○A
∑fy = 0
RI + RK – 61.95 – (52.85 X 1.4) – (42.86 X 1.81) = 0 -----○B
114.76 + RK – 61.95 – 73.99 – 77.58 = 0
RK = 98.76kN

Point 1 = 114.76
Point 2 = 114.76 – (52.85 x 1.4)
=40.77
Point 3 = 40.77 – 61.95
= - 21.18
Point 4 = -21.18 – (42.86 x 1.81)
= -98.76
Point 5 = -98.76 + 98.76
= 0
Bending Point 1
= (114.76 + 40.77)/2 x 1.4
= 108.87
Bending Point 2
= 108.87 - (21.18 + 98.76)/2 x 1.81
= 0
1.4 3.21

8.3 Tan Wing Hoe
Beam A-B/4 (Ground Floor | Secondary Beam)
Dead Load:
1. Slab (C-D/ 1-2) = 3.6kN/m2 x (1.81m/2) x 2/3
= 2.17kN/m
2. Slab (C-D/ 2-3) = 3.6kN/m2 x (1.6m/2)
= 2.88kN/m
3. Brick wall weight = 3m x 0.1m x 19kN/m3
=5.7kN/m
4. Beam self-weight = 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
Total Dead Load:
Total Dead Load = 2.17 + 2.88 + 5.7 + 0.48
= 11.23kN/m
Live Load:
○1 Slab (C-D/ 1-2) = Bathroom x (1.81m/2)
= 2.0kN/m2 x (1.81m/2)
= 1.21kN/m
○2 Slab (C-D/ 2-3) = Bedroom x (1.6m/2)
= 1.5kN/m2 x (1.6m/2)
= 1.2kN/m
Total Live Load:
=2.41kN/m

Ultimate Load:
= 11.23(1.4) + 2.41(1.6)
= 19.58kN/m
Load Diagram for Beam (C-D/2)
Reaction Force:
∑m = 0
(RA x 1.81) – (19.58 x 1.81)(0.91) = 0
RA(1.81) – 32.25 = 0
RA = 32.25/1.81
RA = 17.82kN -----○A
∑fy = 0
RA + RB + (-19.58 x 1.81) = 0 -----○B
Substitute ○A into ○B
17.82 + RB – 35.44 = 0
RB = 35.44-17.82
RB = 17.62kN

Shear Force Diagram
Point 1 = 17.82
Point 2 = 17.82 -(19.58 x 1.81)
= 17.82 - 35.68
= -17.62
Point 3 = -17.62+17.62
= 0kN
Peak = (17.82 x 1.55) x ½
= 13.81

Beam (F/3-5) (Ground Floor | Secondary Beam)
Dead Load:
1. Slab (D-F/3-5) = 3.6kN/m2 x (3.7m/2) 2/3
= 4.44kN/m
2. Slab (F-G/3-5) = 3.6kN/m2 X (3.55m/2)
= 6.39kN/m
= 0.48kN/m
Total Dead Load:
Total Dead Load = 4.44 + 6.39 + 0.48
= 11.31kN/m
Live Load:
1. Slab (D-F/3-5) = KTICHEN x (3.55m/2)
= 3kN/m2 x (3.55m/2)
= 5.33kN/m
2. Slab (D-F/3-5) = KTICHEN x (3.7m/2) x 2/3
= 3kN/m2 x (3.7m/2) x 2/3
= 3.7kN/m

Total Live Load:
= Slab (D-F/3-5) + Slab (D-F/3-5)
=(5.33+3.7) kN/m
=9.03kN/m
Ultimate Load:
= 11.31(1.4) + 9.03(1.6)
= 30.28kN/m
Load Diagram of Beam (B-D/5):
Reaction Forces:
∑m = 0
RB(3.7) – (30.28 x 3.7)(1.85) = 0
RB(3.7) – 207.27 = 0
RB = 207.27/3.7
RB = 56.02kN/m -----1
∑fy = 0
RB+RA-(30.28 X 3.7) = 0 -----2
Substitute 1 into2,
56.02+ RA –(30.28 x 3.7) = 0
- RA = 56.45-112.04
RA = 56.02kN/m

Shear Force Diagram
Point 1 = 56.02
Point 2 = 56.02 -(30.28x 3.7)
= 56.02 - 111.93
= 55.91
Point 3 = 56.02-55.91
= 0.11kN
Peak = (56.02x 1.55) x ½
= 43.42

Beam D-E/5 (Ground Floor | Secondary Beam)
Dead Load:
1. Slab (D-E/3-5) = 3.6kN/m2 x (3.7m/2)
= 6.66kN/m
2. Slab (D-E/5-6) = 3.6kN/m2 x (2.59m/2) x 2/3
= 3.11kN/m
3. Brick wall weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
= 0.48kN/m
Total Dead Load:
Total Dead Load =(6.66+3.11+5.7+0.48)kN/m
=15.95Kn/M
Live Load:
○1 Slab (D-E/3-5) = Kitchen x (3.7m/2)
= 3.0kN/m2 x (3.7m/2)
= 5.55kN/m
○2 Slab (D-E/5-6) = Store x (2.59m/2) x 2/3
= 2.5kN/m2 x (2.59m/2) x 2/3
= 2.16kN/m

Total Live Load:
Total Live Load = Slab (D-E/3-5) + Slab (D-E/5-6)
=(5.55+2.16)Kn/m
=7.71 Kn/M
Ultimate Load:
=15.95(1.4)+7.71(1.6)
=34.67 Kn/M
Load Diagram of Beam (D/4-5):
Reaction Force:
∑m = 0
RB(2.59) – (34.67 x 2.59)(1.3) = 0
RB(2.59) –116.73 = 0
RB = 116.73/2.59
RB = 45.06kN -----1
∑fy = 0
RB + RA –(34.67 x 2.59) = 0 -----2
Substitute 1 into2,
45.06 + RA –89.80 = 0
RA = 44.74kN

Shear Force Diagram
Point 1 = 44.74
Point 2 = 44.74 -(34.63 x 2.59)
= 44.74 - 89.69
= -44.95
Point 3 = -44.95+45.06
= 0.11kN
Peak = (44.74 x 1.55) x ½
= 34.67kN

Beam D/1-3 (Ground Floor | Primary Beam)
Dead Load:
1. Slab (C-D/1-2) = 3.6kN/m2 x (1.81m/2)
= 3.26kN/m
2. Slab (C-D/2-3) = 3.6kN/m2 x (1.6m/2)2/3
= 1.92kN/m
3. Slab (D-F/1-2) = 3.6kN/m2 x (4.11M/2)
= 7.4kN/m
= 5.7kN/m
= 1.44kN/m
Total Dead Load:
Total Dead Load at (D/1-2) = (3.26 + 7.4 +1.44+5.7)Kn/M
A-B = 17.8kN/m
Total Dead Load at (D/2-3) = (1.92 + 7.4 + 5.7 + 1.44) kN/m
B-C = 16.48kN/m
Live Load:
1.Slab (C-D/1-2) = Bathroom x (1.81m/2)
= 2kN/m2 x (1.81m/2)
= 1.81kN/m
2. Slab (C-D/2-3) = Bedroom x (1.6m/2)2/3
= 1.5kN/m2 x (1.6/2)2/3
= 0.8kN/m
○2 Slab (C-D/2-3) = Dining x (4.11m/2)
= 2.0kN/m2 x (4.11/2)
=4.11kN/m
Total Live Load:

Total Live Load at (D/1-2)= 5.98kN/m
Total Live Load at (D/2-3)= 4.91kN/m
Ultimate Load:
Ultimate Load at (D/1-2)= TDL (1.4) + TLL (1.6)
=17.8(1.4) + 5.92(1.6)
= 34.39kN/m
Ultimate Load at (D/2-3)= TDL (1.4) + TLL (1.6)
= 16.481(1.4) + 4.91(1.6)
= 30.93kN/m
○1 Referring to Beam (C-D/ 2), Point Load at D1 =17.62 kN
∑m = 0
RC (4.19) – (30.93 X 1.6) (3.39) – (17.62) (2.59) – (34.39 x 2.59) (1.3) = 0
RC (4.19) – 167.76 – 45.64– 115.79 = 0
RC = 329.16/64.19
RC = 78.56kN/m -----1
∑fy = 0
RC + RA – 17.62 – (34.39 X 2.59) – (30.93 X 1.6) = 0 -----2
Substitute 1 into 2,
78.56 + RA – 17.62 – 89.07 – 49.49 = 0
RA = 77.62kN

Shear Force Diagram
Point 1 = 77.62
Point 2 = 77.62-(34.39 x 2.59)
= 77.62 - 89.07
= -11.45
Point 3 =-11.45-17.62
= -29.07
Point 4 = -29.07 - (30.93 x 1.6)
= -79.19
Point 5 = -79.19+78.56
=-0.63kN
Peak = (44.74 x 1.55) x ½
= 34.67kN

d
Beam E-G/5 (Ground Floor | Primary Beam)
Dead Load
1. Slab (E-G/5-7) = 3.6kN/m2 x (5.08m/2) x 2/3
= 6.10kN/m
2. Slab (E-G/3-5) = 3.6kN/m2 x (3.55/2) x 2/3
= 4.26kN/m
3. Slab (D-F/3-5)= 3.6kN/m2 x (3.7/2)
= 6.66kN/m
Load involved area =6.66Kn/m x 1.52/2.59
=3.91 kN/m
4. Brick Wall Weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
5. Beam Self-Weight = 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
Total Dead Load:
Total Dead Load at (A-B) = 6.10 + 6.66 +3.91+ 5.7 + 1.44
= 17.15kN/m
Total Dead Load at (B-C) = 6.1+4.26+5.7+1.44
=17.5 Kn/M

Live Load:
○1 Slab (E-G/5-7) = PORCH x (5.08m/2) x 2/3
= 2.0kN/m2 x (5.08m/2) x 2/3
= 3.38kN/m
○2 Slab (F-G/3-5) = KITCHEN x (3.55/2) x 2/3
= 3.0kN/m2 x (3.55/2) x 2/3
= 3.54kN/m
○3 Slab (D-F/3-5) = KITCHEN x (3.7m/2)
= 3.0kN/m2 x(3.7m/2)
= 3.26kN/m
Total Live Load:
Total Live Load at (A-B) = 6.64kN/m
Total Live Load at (B-C) = 6.92kN/m
Ultimate Load:
Ultimate Load at (A-B) = TDL (1.4) + TLL (1.6)
= 17.15(1.4) + 6.64(1.6)
= 34.63kN/m
= 17.5(1.4) + 6.92(1.6)
= 35.57kN/m
Load Diagram of Beam (E-G/5):
1. Referring to Beam (F/3-5), Point Load at D/5 = 56.02kN/m
∑m = 0
RC(5.08) – (35.57 x 3.55) (3.29) – (56.02) (1.52) – (34.63 x 1.52) (0.76) = 0
RC(5.08) – 415.44 – 85.15 – 40 = 0
RC = 540.59/5.08
RC = 106.42kN -----1
∑fy = 0
RC + RA – 56.02 – (34.63 X 1.52) – (35.57 X 3.55) = 0 -----2

106.42 + RA – 56.02 – 52.64 – 126.27 = 0
RA = 128.51kN
Shear Force Diagram
Point 1 =128.51 - 34.63(1.52)
=128.51 - 52.64
= 75.87
Point 2 = 75.87 - 56.02
= 19.85
Point 3 = 19.85 - 35.57(3.55)
= 19.85 -126.27
= -106.42
Point 4 =-106.42+106.42
=0kN
Peak = (44.74 x 1.55) x ½
= 34.67kN

Beam D/3-6 (Ground Floor | Primary Beam)
Dead Load
1. Slab (B-C/5-6) = 3.6kN/m2 x (3.21m/2)
= 5.78kN/m
2. Slab (D-E/5-6) = 3.6kN/m2 x (2.59/2)
= 4.66kN/m
3. Slab (B-D/3-5) = 3.6kN/m2 x (3.21/2)
= 5.78kN/m
4. Slab (D-F/3-5) = 3.6kN/m2 x (3.7/2) x 2/3
= 4.44kN/m
Load involved area =6.66Kn/m x 1.52/2.59
=3.91 kN/m
5. Brick Wall Weight = 3m x 0.1m x 19kN/m3
= 5.7kN/m
6. Beam Self-Weight = 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
Total Dead Load:
Total Dead Load at (A-B) = 5.78 + 4.44 + 1.44
= 11.66kN/m
Total Dead Load at (B-C) = 5.78+4.66+5.7+1.44
=17.58 Kn/M

Live Load:
1. Slab (B-C/5-6) = Corridor x (3.21/2)
= 4.0kN/m2 x (3.21/2)
= 6.42kN/m
2. Slab (D-E/5-6) = Store x (2.59/2)
= 2.5kN/m2 x (2.59/2)
= 3.24kN/m
3. Slab (B-D/3-5) = Corridor x (3.21/2)
= 4.0kN/m2 x (3.21/2)
= 6.42kN/m
4. Slab (D-F/3-5) = Kitchen x (3.7/2) x 2/3
= 3.0kN/m2 x(3.7/2) x 2/3
= 3.7kN/m
Total Live Load:
Total Live Load at (A-B) = 6.94kN/m
Total Live Load at (B-C) = 9.66kN/m
Ultimate Load:
Ultimate Load at (A-B) = TDL (1.4) + TLL (1.6)
= 11.66(1.4) + 6.94(1.6)
= 27.43kN/m
= 17.58(1.4) + 9.66(1.6)
= 40.07kN/m

1. Referring to Beam (D-E/5), Point Load at B = 14.60kN/m
2. Referring to Beam (B-D/5), Point Load at B = 33.31kN/m
∑m = 0
Rc(7.09) – (40.07 x 3.39) (4.08) – (14.60 x 2.59) - (33.31 x 3.21) - (27.48 x 3.7)(1.85)= 0
Rc(7.09) – 554.22 – 37.81 - 106.93– 188.10 = 0
Rc = 887.06/7.09
Rc = 125.11kN -----1
∑fy = 0
Rc + Ra – 14.60 - 33.31– (27.48 X 3.7) – (40.12 X 3.39) = 0 -----2
125.11+ Ra – 101.68 – 14.60 - 33.31 – 136 = 0
Ra = 160.48kN

Shear Force Diagram
Point 1 = 160.48- 27.43(3.7)
= 58.99
Point 2 = 58.99-47.91
= 11.08
Point 3 =11.08 - 40.07(3.39)
= - 124.76
Point 4 = -124.76 + 125.11
Point 5 = 0.35
Peak = (44.74 x 1.55) x ½
= 34.67kN

10.0 Column Analysis Report
9.1 Canisius Bong
Column A/3 (Connected to All Floors)
-Roof Level-
Dead Load:
○1 Roof Slab = (3.05 x 1.55) m2 x 3.6kN/m2
= 4.73m2 x 3.6kN/m2
= 17.03kN
○2 Roof Beam = (0.96 + 2.09 + 1.55) m x 1.44kN/m
= 4.60m x 1.44kN/m
= 6.62kN
Total Dead Load at Roof Level
= 17.03N + 6.62kN
= 23.65kN
-First Floor-
Dead Load: Live Load:
○1 Slab = (3.05 x 1.55) m2 x 3.6kN/m2
○1 Bedroom
= 4.73m2 x 3.6kN/m2 = (2.09m x 1.55m) x 1.5kN/m2
= 17.03kN = 4.86kN
○2 Wall = (0.96m + 2.09m + 1.55m) x 5.7kN/m ○2 Toilet
= 4.60m x 5.7kN/m = (0.96m x 1.55m) x 2.0kN/m2
= 26.22kN = 2.98kN
○3 Beam = (0.96m + 2.09m + 1.55m) x 1.44kN/m
= 4.60m x 1.44kN/m
= 6.62kN
○4 Column = (0.3m x 0.3m x 3.0m) x 24kN/m3
= 6.48kN
Total Dead Load at First Floor Total Live Load at First Floor
= 17.03kN + 26.22kN + 6.62kN + 6.48kN = 4.86kN + 2.98kN
= 56.35kN = 7.84kN

-Ground Floor-
○1 Slab = (3.05 x 1.55) m2 x 3.6kN/m2
○1 Bedroom
= 4.73m2 x 3.6kN/m2 = (2.09m x 1.55m) x 1.5kN/m2
= 17.03kN = 4.86kN
○2 Wall = (0.96m + 2.09m + 1.55m) x 5.7kN/m ○2 Toilet
= 4.60m x 5.7kN/m = (0.96m x 1.55m) x 2.0kN/m2
= 26.22kN = 2.98kN
○3 Beam = (0.96m + 2.09m + 1.55m) x 1.44kN/m
= 4.60m x 1.44kN/m
= 6.62kN
= 6.48kN
Total Dead Load at Ground Floor Total Live Load at Ground Floor
= 17.03kN + 26.22kN + 6.62kN + 6.48kN = 4.86kN + 2.98kN
= 56.35kN = 7.84kN
Total Dead Load at Column A/3 Total Live Load at Column A/3
= 23.65kN + 56.35kN + 56.35kN = 7.84kN + 7.84kN
= 136.35kN = 15.68kN
Ultimate Load at Column A/3
= TDL (1.4) + TLL (1.6)
= 136.35kN (1.4) + 15.68kN (1.6)
= 190.89kN + 25.09kN
= 215.98kN

Column E/5 (Connected to All Floors)
-Roof Level-
Dead Load:
○1 Roof Slab = (2.06 x 3.55) m2 x 3.6kN/m2
= 7.31m2 x 3.6kN/m2
= 26.32kN
○2 Roof Beam = (1.3 + 1.7 + 0.76) m x 1.44kN/m
= 3.76m x 1.44kN/m
= 5.41kN
= 26.32kN + 5.41kN
= 31.73kN
-First Floor-
○1 Slab = (2.06 x 3.55) m2 x 3.6kN/m2
○1 Living Room
= 7.31m2 x 3.6kN/m2 = (1.85m x 2.06m) x 4.0kN/m2
= 26.32kN = 15.24kN
○2 Wall = (1.3m + 1.7m + 0.76m) x 5.7kN/m ○2 Bedrrom
= 3.76m x 5.7kN/m = (1.3m x 1.7m) x 1.5kN/m2
= 21.43kN = 3.32kN
○3 Beam = (1.3m + 1.7m + 0.76m) x 1.44kN/m ○3 Bedroom
= 3.76m x 1.44kN/m = (0.76m x 1.7m) x 1.5kN/m2
= 5.41kN = 1.94kN
= 6.48kN
= 26.32kN + 21.43kN + 5.41kN + 6.48kN = 15.24kN + 3.32kN + 1.94kN
= 59.64KN = 20.5kN

-Ground Floor-
○1 Slab = (2.06 x 3.55) m2 x 3.6kN/m2
○1 Dining Room
= 7.31m2 x 3.6kN/m2 = (1.85m x 2.06m) x 2.0kN/m2
= 26.32kN = 7.62kN
○2 Wall = (1.3m + 1.7m + 0.76m) x 5.7kN/m ○2 Family Area
= 3.76m x 5.7kN/m = (1.3m x 1.7m) x 2.0kN/m2
= 21.43kN = 4.42kN
○3 Beam = (1.3m + 1.7m + 0.76m) x 1.44kN/m ○3 Car Porch
= 3.76m x 1.44kN/m = (0.76m x 1.7m) x 2.0kN/m2
= 5.41kN = 2.58kN
= 6.48kN
= 26.32kN + 21.43kN + 5.41kN + 6.48kN = 7.62kN + 4.42kN + 2.58kN
= 59.64kN = 14.62kN
Total Dead Load at Column E/5 Total Live Load at Column E/5
= 31.73kN + 59.64kN + 59.64kN = 14.62kN + 20.5kN
= 151.01kN = 35.12kN
Ultimate Load at Column E/5
= TDL (1.4) + TLL (1.6)
= 151.01kN (1.4) + 35.12kN (1.6)
= 211.41kN + 56.19kN
= 267.6kN

Column E/7 (Connected to All Floors)
-Roof Level-
Dead Load:
○1 Roof Slab = (2.06 x 3.31) m2 x 3.6kN/m2
= 6.82m2 x 3.6kN/m2
= 24.55kN
○2 Roof Beam = (1.3 + 1.34 + 0.76 + 1.97) m x 1.44kN/m
= 5.37m x 1.44kN/m
=3.41kN
= 24.55kN + 3.41kN
= 27.96kN
-First Floor-
○1 Slab = (3.83 x 3) m2 x 3.6kN/m2
○1 Bedrrom
= 11.49m2 x 3.6kN/m2 = (1.3m x 3m) x 1.5kN/m2
= 41.36kN = 5.85kN
○2 Wall = (1.3m + 2.53m + 3m) x 5.7kN/m ○2 Bedroom
= 6.83m x 5.7kN/m = (2.53m x 3m) x 1.5kN/m2
= 38.93kN = 11.39kN
○3 Beam = (1.3m + 2.53m + 3m) x 1.44kN/m
= 6.83m x 1.44kN/m
= 9.84kN
= 6.48kN
= 41.36kN + 38.93kN + 9.84kN + 6.48kN = 5.85kN + 11.39kN
= 96.61kN = 17.24kN

-Ground Floor-
○1 Slab = (2.06 x 3.31) m2 x 3.6kN/m2
○1 Living Area
= 6.82m2 x 3.6kN/m2 = (1.3m x 1.34m) x 4.0kN/m2
= 24.55kN = 6.97kN
○2 Wall = (1.3m + 1.34m + 0.76m + 1.97m) x 5.7kN/m ○2 Living Area
= 5.37m x 5.7kN/m = (1.3m x 1.97m) x 4.0kN/m2
= 30.61kN = 10.24kN
○3 Beam = (1.3m + 1.3m + 0.76m + 1.97m) x 1.44kN/m ○3 Car Porch
= 5.37m x 1.44kN/m = (0.76m x 1.34m) x 2.0kN/m2
= 7.73kN = 2.04kN
○4 Car Porch
= 6.48kN = (0.76m x 1.97m) x 2.0kN/m2
= 2.99kN
= 24.55kN + 30.61kN + 5.37kN + 6.48kN = 6.97kN + 10.24kN + 2.04kN + 2.99kN
= 67.01kN = 22.24kN
= 27.96kN + 96.61kN + 67.01kN = 17.24kN + 22.24kN
= 191.58kN = 39.48kN
= TDL (1.4) + TLL (1.6)
= 191.58kN (1.4) + 39.48N (1.6)
= 268.21kN + 63.17kN
= 331.38N

9.2 Joyce Wee
Column A/1 (Connected to All Floors)
-Roof Level-
Dead Load:
○1 Roof Slab = (3.155 x 2.09) m2 x 3.6kN/m2
= 6.59m2 x 3.6kN/m2
= 23.72kN
○2 Roof Beam = (3.155 + 2.09) m x 1.44kN/m
= 5.245m x 1.44kN/m
= 7.55kN
= 23.72kN + 7.55kN
= 31.27kN
-First Floor-
○1 Slab = (3.155 x 2.09)m2 x 3.6kN/m2
○1 Bedroom
= 6.59m2 x 3.6kN/m2 = (2.09m x 3.155m) x 1.5kN/m2
= 23.72kN = 9.89kN
○2 Wall = (3.155m + 2.09m) x 5.7kN/m
= 5.245m x 5.7kN/m
= 29.9kN
○3 Beam = (3.155m + 2.09m) x 1.44kN/m
= 5.75m x 1.44kN/m
= 7.55kN
= 6.48kN
= 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN
= 67.65kN

-Ground Floor-
○1 Slab = (3.155 + 2.09) m2 x 3.6kN/m2
○1 Bedroom
= 6.59m2 x 3.6kN/m2 = (3.155m x 2.09m) x 1.5kN/m2
= 23.72kN = 9.89kN
○2 Wall = (3.155m + 2.09m) x 5.7kN/m
= 5.245m x 5.7kN/m
= 29.9kN
○3 Beam = (3.155 + 2.09) m x 1.44kN/m
= 5.245m x 1.44kN/m
= 7.55kN
○4 Column = 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
= 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN
= 67.65kN
Total Dead Load at Column A/1 Total Live Load at Column A/1
= 31.27kN + 67.65kN + 67.65kN = 9.89kN + 9.89kN
= 166.57kN = 19.78kN
Ultimate Load at Column A/1
= TDL (1.4) + TLL (1.6)
= 166.57kN (1.4) + 19.78kN (1.6)
= 233.198kN + 31.648kN
= 264.85kN

Column D/3 (Connected to All Floors)
-Roof Level-
○1 Roof Slab = (3.66 x 3.94) m2 x 3.6kN/m2
= 14.42m2 x 3.6kN/m2
= 51.91kN
○2 Roof Beam = (2.09 + 1.61 + 2.05) m x 1.44kN/m
= 5.75m x 1.44kN/m
= 8.28kN
= 51.91kN + 8.28kN
= 60.19kN
-First Floor-
○1 Slab = (3.36m2 + 2.98m2 + 3.79m2) x 3.6kN/m2
○1 Bedroom
= 10.13m2 x 3.6kN/m2 = (2.09m x 1.61m) x 1.5kN/m2
= 36.468kN = 5.05kN
○2 Wall = (2.09m + 1.61m) x 5.7kN/m ○2 Corridor
= 3.7m x 5.7kN/m = (3.66m x 1.85m) x 4.0kN/m2
= 21.09kN = 27.08kN
○3 Beam = (2.09m + 1.61m + 2.05m) x 1.44kN/m
= 5.75m x 1.44kN/m
= 8.28kN
= 6.48kN
= 36.47kN + 21.09kN + 8.28kN + 6.48kN = 5.05kN + 27.08kN
= 72.32kN = 32.13kN

-Ground Floor-
○1 Slab = (1.61 + 2.05)m x (2.09 + 1.85)m x 3.6kN/m2
○1 Bedroom
= (3.66m x 3.94m) x 3.6kN/m2 = (2.09m x 1.61m) x 1.5kN/m2
= 51.91kN = 5.05kN
○2 Wall = (2.05m + 2.09m + 1.61m) x 5.7kN/m ○2 Corridor
= 5.75m x 5.7kN/m = (1.85m x 1.61m) x 4.0kN/m2
= 32.78kN = 11.91kN
○3 Beam = (2.05 + 2.09 + 1.61 + 1.85) m x 1.44kN/m ○3 Kitchen
= 7.6m x 1.44kN/m = (3.94m x 2.05m) x 3.0kN/m2
= 10.944kN = 24.231kN
= 6.48kN
= 51.91kN + 32.78kN + 10.944kN + 6.48kN = 5.05kN + 11.91kN + 24.23kN
= 234.62kN = 41.19kN
Total Dead Load at Column D/3 Total Live Load at Column D/3
= 60.19kN + 72.32kN + 102.11kN = 32.13kN + 41.19kN
= 234.62kN = 73.32kN
Ultimate Load at Column D/3
= TDL (1.4) + TLL (1.6)
= 234.62kN (1.4) + 73.32kN (1.6)
= 328.47kN + 117.312kN
= 445.78kN

Column D/6 (Acting on Ground Floor Only)
-Ground Floor-
○1 Slab = (1.7 + 1.34)m (1.61 + 3.83)m x 3.6kN/m2
○1 Corridor
= (3.04m x 5.444m) x 3.6kN/m2 = (1.61m x 1.7) x 4.0kN/m2
= 59.54kN = 10.95kN
○2 Wall = (1.7m + 3.83m) x 5.7kN/m ○2 Living Room
= 5.53m x 5.7kN/m = (1.61m + 3.83m) x 1.34m x 4.0kN/m2
= 31.52kN = 29.16kN
○3 Beam = (1.7 + 3.83 + 1.34 + 1.61) m x 1.44kN/m ○3 Storeroom
= 8.48m x 1.44kN/m = (1.7m x 3.83m) x 2.5kN/m2
= 12.214kN = 16.28kN
= 6.48kN
= 51.54kN + 31.52kN + 12.21kN + 6.48kN = 10.95kN + 29.16kN + 16.28kN
= 109.75kN = 56.39kN
Total Dead Load at Column D/6 Total Live Load at Column D/6
= 109.75kN = 56.39kN
Ultimate Load at Column D/6
= TDL (1.4) + TLL (1.6)
= 109.75kN (1.4) + 56.39kN (1.6)
= 153.65kN + 90.22kN
= 243.87kN

9.3 Tan Wing Hoe
Column B/3 (Connected to All Floors)
-Roof Level-
Dead Load:
○1 Roof Slab = (2.95 x 3.505) m2 x 3.6kN/m2
= 37.22 kN
○2 Roof Beam = (2.95 + 3.505) m x 1.44kN/m
= 14.89 kN
= 37.22kN + 14.89kN
= 52.11kN
-First Floor-
○1 Slab = (2.95 x 3.505)m2 x 3.6kN/m2
○1 Bedroom
= 10.16m2 x 3.6kN/m2 = (2.95 x 3.505m) x 1.5kN/m2
= 36.58kN = 15.51kN
○2 Wall = (2.95 + 1.55 + 1.91m) x 5.7kN/m ○2 Bathroom
= 6.41m x 5.7kN/m =(1.91 x 1.55)m x2.0kN/m2
= 36.54kN =5.92kn
○3 Beam = (3.155m + 2.09m) x 1.44kN/m ○3 Stairs
= (2.95 + 3.505) m x 1.44kN/m =(1.4 x 1.91) x 1.5kN/m2
= 14.89 kN =4.01
= 6.48kN
= 36.58kN + 36.54kN + 14.89kN + 6.48kN = 15.51kN + 5.92kN + 4.01kN
= 94.49kN =25.44 kN

-Ground Floor-
○1 Slab = (2.95 x 3.505)m2 x 3.6kN/m2
○1 Bedroom
= 10.16m2 x 3.6kN/m2 = (2.95 x 3.505m) x 1.5kN/m2
= 36.58kN = 15.51kN
○2 Wall = (2.95 + 1.55 + 1.91m) x 5.7kN/m ○2 Bathroom
= 6.41m x 5.7kN/m =(1.91 x 1.55)m x2.0kN/m2
= 36.54kN =5.92kn
○3 Beam = (3.155m + 2.09m) x 1.44kN/m ○3 Stairs
= (2.95 + 3.505) m x 1.44kN/m =(1.4 x 1.91) x 1.5kN/m2
= 14.89 kN =4.01
= 6.48kN
= 36.58kN + 36.54kN + 14.89kN + 6.48kN = 15.51kN + 5.92kN + 4.01kN
= 94.49kN =25.44 kN
Total Dead Load at Column B/3 Total Live Load at Column B/3
= 52.11kN + 94.49kN + 94.49kN = 25.44kN + 25.44kN
= 241.09kN = 50.88kN
Ultimate Load at Column B/3
= TDL (1.4) + TLL (1.6)
= 241.09(1.4) + 50.88kN (1.6)
= 337.53kN + 81.41kN
= 418.94kN

Column G/5 (Connected to All Floors)
-Roof Level-
○1 Roof Slab = (2.53 x 3.58) m2 x 3.6kN/m2
= 32.61kN
○2 Roof Beam = (2.53 x 3.58) m x 1.44kN/m
= 13.04kN
= 51.91kN + 8.28kN
= 60.19kN
-First Floor-
○1 Slab = (4.03m2 + 4.82m2) x 3.6kN/m2 1.Bedroom
= 31.86kN - (2.97x1.5)m x 3,6kN/m = (2.015 x 1.85m) x 1.5kN/m2
= 30.96kN - 16.04
= 14.92kN = 3.73kN
○2 Wall = (2.53m + 2.015m + 1.85m + 1.79m) x 5.7kN/m 2. Corridor
= 8.19m x 5.7kN/m = (2.53m x 1.85m) x 4.0kN/m2
= 46.69kN = 18.72kN
○3 Beam = (2.53m + 2.015m + 1.85m + 1.79m) x 1.44kN/m 3. Bedroom
= 8.19m x 1.44kN/m =(3.03 x 2.53m) x 1.5kN/m2
= 11.79kN = 11.50kN
= 6.48kN
= 14.92kN + 46.69kN + 11.79kN + 6.48kN = 3.73kN + 18.72kN + 11.50kN
= 79.88kN = 33.95kN

-Ground Floor-
○1 Slab = (3.49 + 2.53)m x 3.6kN/m2 1. Porch =(2.53 + 1.695)m x 2.0kN/m
= (6.02) x 1.5kN/m2
= 21.67kN = 8.45kN
○2 Wall = (2.53m) x 5.7kN/m 2. Kitchen
= 2.53m x 5.7kN/m = (1.79m x 2.53m) x 3.0kN/m2
= 14.42kN =12.96kN
○3 Beam = (2.53) m x 1.44kN/m
= 2.53m x 1.44kN/m
= 3.64kN
= 6.48kN
= 21.67kN + 14.42kN + 3.64kN + 6.48kN = 8.45kN + 12.96kN
= 46.21kN = 21.41kN
Total Dead Load at Column G/5 Total Live Load at Column G/5
= 60.19kN + 79.88kN + 46.21kN = 33.95kN + 21.41kN
= 186.28kN = 55.36kN
Ultimate Load at Column G/5
= TDL (1.4) + TLL (1.6)
= 186.28kN (1.4) + 55.36kN (1.6)
= 260.79kN + 88.58kN
= 349.37kN

Column E/8 (Acting on Ground Floor Only)
-Ground Floor-
1. Slab = (1.94 +1.295)m (1.94 + 2.53)m x 3.6kN/m2 1. Porch
= (3.235m x 4.47m) x 3.6kN/m2 = (1.94m x 2.53) x 2.0kN/m2
= 52.06kN = 9.82kN
2. Wall = 1.94 x 5.7kN/m 2. Living Room
= (1.94x 1.295m) x 4.0kN/m2
= 11.06kN = 10.05kN
3. Beam = (1.94 + 1.295 + 2.53) m x 1.44kN/m
= 5.765m x 1.44kN/m
= 8.3kN
4. Column = 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
= 52.06kN + 11.06kN + 8.3kN + 6.48kN = 10.05kN + 9.82kN
= 77.9kN = 19.87kN
= 77.9kN = 19.87kN
= TDL (1.4) + TLL (1.6)
= 77.9kN (1.4) + 19.87kN (1.6)
= 109.06kN + 31.79kN
= 140.85kN

11.0 Appendix
Slab System
If Ly/Lx > 2, one-way slab system
If Ly/Lx ≤ 2, two-way slab system
Beam Calculation
Beam self-weight = beam size x density of reinforced concrete
Slab dead load = thickness x density of reinforced concrete x Lx/2 (Trapezoid)
= thickness x density of reinforced concrete x Lx/2 x 2/3 (Triangular)
Slab live load = live load (UBBL) x Lx/2 (Trapezoid)
= live load (UBBL) x Lx/2 x 2/3 (Triangular)
Brick wall dead load = wall height x thickness x density of bricks
Column Calculation
Beam self-weight = beam size x density of reinforced concrete x length
Slab dead load = thickness x density of reinforced concrete x tributary area
Slab live load = live load (UBBL) x tributary area
Brick wall self-weight = thickness x wall height x density of bricks x length
Column self-weight = width x length x height x density of reinforced concrete

Assumption of Dead Load and Live Load
Assumptions on Dead Loads Acting on Structure
(F) Slab self-weight
= 0.15 x 24kN/m3
= 3.6kN/m2
(G) Brick wall self-weight
= Wall thickness x Wall height x Density
= 0.1m x 3.0m x 19kN/m3
= 5.7kN/m
(H) Primary Beam self-weight
= 0.2m x 0.3m x 24kN/m3
= 1.44kN/m
(I) Secondary Beam self-weight
= 0.1m x 0.2m x 24kN/m3
= 0.48kN/m
(J) Column self-weight
= Column size x Concrete density
= 0.3m x 0.3m x 3.0m x 24kN/m3
= 6.48kN
*All dead loads (slabs, walls, beams, columns) are assumed to have a standard size.
* Dead load factor: 1.4
Assumptions on Live Loads Acting on Structure
(L) Bedroom :1.5kN/m2
(M) Living Room :4.0kN/m2
(N) Dining Room :2.0kN/m2
(O) Kitchen :3.0kN/m2
(P) Corridor :4.0kN/m2
(Q) Bathroom :2.0kN/m2
(R) Study Room :1.5kN/m2
(S) Car Porch :2.0kN/m2
(T) Stairs :1.5kN/m2
(U) Family Area :2.0kN/m2
(V) Store Room :2.5kN/m2
*All assumptions on live loads are referred to 4th schedule of UBBL for live loads per
room functions.
* Live load factor: 1.6

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