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

0kN 0kN

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

0kN 0kN

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

0kN 85.3

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

0kN 0kN

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

0kN 0kN

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

0kN 0kN

-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 Column = (0.3m x 0.3m x 3.0m) x 24kN/m3 ○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-



= 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-



= 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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