Structural Analysis of a Bungalow Reportdouglasloon
Taylor's University Lakeside Campus
School of Architecture, Building & Design
Bachelor of Science (Hons) in Architecture
Building Structures (ARC 2523 / BLD 60103)
Project 2: Structural Analysis of a Bungalow
Structural Analysis of a Bungalow Reportdouglasloon
Taylor's University Lakeside Campus
School of Architecture, Building & Design
Bachelor of Science (Hons) in Architecture
Building Structures (ARC 2523 / BLD 60103)
Project 2: Structural Analysis of a Bungalow
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Hello everyone! I am thrilled to present my latest portfolio on LinkedIn, marking the culmination of my architectural journey thus far. Over the span of five years, I've been fortunate to acquire a wealth of knowledge under the guidance of esteemed professors and industry mentors. From rigorous academic pursuits to practical engagements, each experience has contributed to my growth and refinement as an architecture student. This portfolio not only showcases my projects but also underscores my attention to detail and to innovative architecture as a profession.
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1. Building Structures [ARC 2522]
Project 2 [Extension of a Reinforced Concrete Bungalow]
No.3 Bukit Tiara 1, Taman Billion, 56100, Kuala Lumpur,
Malaysia
Name Student ID
Tan Wen Yee 0315155
Jeremy Tay Eujin 0312228
Lecturer: Ms Norita
Submission Date: Week 12 (19th June 2014, Friday)
2. Introduction
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.
Objectives of Project
The objectives of this project are as follows:
1. To introduce the basic process of building structures design process to the
students.
2. To enable the students to have a holistic experience including Concept and
Structure Layout Design, Building Structure Engineering Considerations,
Structure Members Sizing and Calculations, Final Report and Presentation.
Learning Outcomes
1. Produce a complete documentation on structural systemof a case study
2. Explore and understand the concept of structural analysis
3. Identification of structural components
4. Recognize, Execute and implement basic procedures of building structure design
5. Produce a structural proposal
7. Quantity DeadLoads Acting On
Structure
GroundFloor
Extended Dining Room
Slab thickness = 150mm
Slab self-weight = 0.15m x 24kN/m³
= 3.6 kN/m²
Extended Kitchen
Slab thickness = 150mm
Slab self-weight = 0.15m x 24kN/m³
= 3.6 kN/m²
Tearoom
Slab thickness = 150mm
Slab self-weight = 0.15m x 24kN/m³
= 3.6 kN/m²
First Floor
Library
Slab thickness = 150mm
Slab self-weight = 0.15m x 24kN/m³
= 3.6 kN/m²
Corridor
Slab thickness = 150mm
Slab self-weight = 0.15m x 24kN/m³
= 3.6 kN/m²
Balcony
Slab thickness = 100mm
Slab self-weight = 0.1m x 24kN/m³
= 2.4 kN/m²
Gymnasium
Slab thickness = 150mm
Slab self-weight = 0.15m x 24kN/m³
= 3.6 kN/m²
Brick Wall:
=Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Beam SelfWeight:
(Assume that initial beamsize125mmx600mm)
=Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Quantity Live Loads Acting On
Structure
GroundFloor
Diningroom:
2.0 kN/m²
Kitchen:
2.0 kN/m²
Tearoom:
2.0 kN/m²
First Floor
Library:
2.5 kN/m²
Corridor
1.5 kN/m²
Balcony
1.5 kN/m²
Gymnasium:
5.0 kN/m²
(According to 4th Schedule of UBBL for live
load according to the function of the space)
8. Identify One Way or Two Way Slab
Indicating the Distribution of Load from Slab to Beam
Ly= Longer side of slab
Lx= Shorter side of slab
When Ly / Lx >2 or =2, it is a one way slab.
When Ly / Lx <2, it is a two way slab.
Ground Floor
ExtendedDiningRoom
=4025 ÷ 3500
=1.15 < 2 (TwoWay Slab)
ExtendedKitchen
=3500 ÷ 2975
=1.18 < 2 (TwoWay Slab)
=2500 ÷ 2000
=1.25 < 2 (TwoWay Slab)
Tearoom
=9000 ÷ 3500
=2.57 > 2 (One Way Slab)
First Floor
Library
=4025 ÷ 3500
=1.15 < 2 (TwoWay Slab)
Corridor
=3500 ÷ 2975
=1.18 < 2 (TwoWay Slab)
Balcony
= 6000 ÷ 2000
=3 > 2 (One Way Slab)
Gymnasium
=7000 ÷ 3500
=2= 2 (TwoWay Slab)
9. Beam Analysis Calculation
Ground Floor Beam, A /1-4
1) Carries Self Weight – Dead Load
2) Slab- Dead Load & Live Load
A-B/1-4 ( One Way)
3) Brick Wall – Dead Load
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab A-B/1-4 ( One Way Slab)
Load is transferred to beam A/1-4 in UDL form.
Dead Load from Slab A-B/1-4 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m²x (3.5/2)
= 6.3kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab + Brick Wall
= 1.8kN/m + 6.3kN/m + 10kN/m
= 18.1kN/m
10. Total Dead Load Diagram
9000
1 4
Beam self-weight = 1.8 kN/m
Brick wall weight = 10 kN/m
DL from slab A-B /1-4=6.3kN/m
Total DL = 18.1kN/m
11. Live Load on Slab A-B/1-4 ( One Way Slab)
Load is transferred to beam A/1-4 in UDL form.
Live Load from slab A-B/1-4 = Live Load on Slab x ( Lx/2)
= 2.0 kN/m² x (3.5/2)
= 3.5 kN/m
Total Live Load
= Live Load on Slab
= 3.5 kN/m
Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab A-B/1-4 =18.1kN/m x 1.4
= 25.34kN/m
Live Load on Slab A-B/1-4 = 3.5kN/m x 1.6
= 5.6kN/m
Ultimate Load = 25.34kN/m + 5.6kN/m
=30.94kN/m
9000
1 4
Total Live load = 3.5 kN/m
9000
1 4
Ultimate Load = 30.94 kN/m
13. Beam Analysis Calculation
Ground Floor Beam, B-D /3
1) Carries Self Weight – Dead Load
2) Slab- Dead Load & Live Load
B-D/2-3 ( Two Way)
B-D/3-4 ( Two Way)
Brick Wall – Dead Load
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab B-D/2-3 (Two Way Slab)
Load is transferred to beam B-D/3 a trapezoidal form.
Convert trapezoidal load into UDL.
Dead Load from Slab A-B/1-4 = Dead Load on Slab x (Lx/2)
= 3.6 kN/m² x (2.975/2)
= 5.355kN/m
Dead Load on Slab B-D/3-4 (Two Way Slab)
Load is transferred to beam B-D/3 a triangular form.
Dead Load from Slab A-B/1-4 = Dead Load on Slab x (Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3kN/m
Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 6.3kN/m
=4.2kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab + Brick Wall
= 1.8kN/m + 5.355kN/m+ 4.2kN/m + 10kN/m
= 21.355kN/m
14. Total Dead Load Diagram
3500
B D
Beam Self Weight=1.8kN/m
weWEoghtWEight
Brick wall weight = 10 kN/m
DL from slab B-D/2-3=5.355kN/m
DL from slab B-D/3-4=4.2kN/m
Total Dead Load=21.355kN/m
15. Live Load on Slab B-D/2-3 ( Two Way Slab)
Load is transferred to beam B-D/3 in a trapezoidal form.
Convert trapezoidal load into UDL.
Live load from Slab B-D/3-4 = Live load on slab x ( Lx/2)
= 2.0kN/m²x ( 2.975/2)
= 2.975kN/m
Live Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B-D/3 in a triangular form.
Live load from Slab B-D/2-3 = Live load on slab x ( Lx/2)
= 2.0kN/m²x ( 3.5/2)
= 3.5kN/m
Convert triangular load into UDL by applying factor of 2/3.
Live load =2/3 x 3.5kN/m
=2.333kN/m
Total Live Load
= Live Load on Slab
=2.975kN/m+2.333kN/m
=5.308kN/m
Total Live Load Diagram
3500
B D
LL fromslabB-D/2-3 =2.975kN/m
LL fromslabB-D/3-4=2.333kN/m
Total Live Load=5.308kN/m
16. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab B-D/2-4 =21.355kN/m x 1.4
= 29.897kN/m
Live Load on Slab B-D/2-4 = 5.308kN/m x 1.6
= 8.493kN/m
Ultimate Load = 29.897kN/m + 8.493kN/m
=38.39kN/m
Ultimate Load Diagram
3500
B D
Ultimate Load=38.39kN/m
18. Beam Analysis Calculation
Ground Floor Beam, B /1-4
1. Carries Self Weight – Dead Load
2. Slab- Dead Load & Live Load
A-B/1-4 ( One Way)
B-C/1-2 ( Two Way)
B-D/2-3 (Two Way)
B-D/3-4 (Two Way)
3. Brick Wall – Dead Load
Beam Self Weight =BeamSize x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab A-B/1-4 ( One Way Slab)
Load is transferred to beam A/1-4 in UDL form.
Dead Load from Slab A-B/1-4 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3kN/m
Dead Load on Slab B-C/1-2 ( Two Way Slab)
Load is transferred to beam B/1-4 in a triangular form.
Dead load from Slab B-C/1-2 = Dead load on slab x ( Lx/2)
= 3.6kN/m²x ( 2/2)
= 3.6kN/m
Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 3.6kN/m
=2.4kN/m
Dead Load on Slab B-D/2-3 ( Two Way Slab)
Load is transferred to beam B/1-4 in a triangular form.
Dead load from Slab B-D/2-3 = Dead load on slab x ( Lx/2)
= 3.6kN/m²x ( 2.975/2)
= 5.355kN/m
19. Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 5.355kN/m
=3.57kN/m
Dead Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B/1-4 in a trapezoidal form.
Convert trapezoidal load into UDL.
Dead load from Slab B-C/1-2 = Dead load on slab x ( Lx/2)
= 3.6kN/m²x ( 3.5/2)
= 6.3kN/m
Total Dead Load
Total for 1-2= Beam Self Weight + Dead Load on Slab + Brick Wall
= 1.8kN/m + 6.3kN/m+2.4kN/m + 10kN/m
= 20.5kN/m
Total for 2-3 = Beam Self Weight + Dead Load on Slab + Brick Wall
=1.8kN/m + 6.3kN/m + 3.57kN/m + 10kN/m
=21.67kN/m
Total for 3-4 = Beam Self Weight + Dead Load on Slab+Brick Wall
=1.8kN/m + 6.3kN/m+6.3kN/m+10kN/m
=24.4kN/m
20. Total Dead Load Diagram
2000
1 4
Beam Self Weight=1.8kN/m
weWEoghtWEight
Brick wall weight = 10 kN/m
DL from slab A-B/1-4=6.3kN/m
DL from slab B-C/1-2=2.4kN/m
DL fromslabB-D/2-3=3.57kN/m
2
1
3
12975 4025
21. 2000
1 4
DL from slab B-D/3-4=6.3kN/m
Total Dead Load
2
1
3
12975 4025
20.5kN/m 21.67kN/m 24.4kN/m
22. Live Load on Slab A-B/1-4 ( One Way Slab)
Load is transferred to beam A/1-4 in UDL form.
Live Load from slab A-B/1-4 = Live Load on Slab x ( Lx/2)
= 2.0 kN/m² x (3.5/2)
= 3.5 kN/m
Live Load on Slab B-C/1-2 ( Two Way Slab)
Load is transferred to beam B/1-4 in a triangular form.
Live load from Slab B-C/1-2 = Live load on slab x ( Lx/2)
= 2.0kN/m²x ( 2/2)
= 2.0kN/m
Convert triangular load into UDL by applying factor of 2/3.
Live load =2/3 x 2.0kN/m
=1.33kN/m
Live Load on Slab B-D/2-3 ( Two Way Slab)
Load is transferred to beam B/1-4 in a triangular form.
Live load from Slab B-D/2-3 = Live load on slab x ( Lx/2)
= 2.0kN/m²x ( 2.975/2)
= 2.975kN/m
Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 2.975kN/m
=1.983kN/m
Live Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B/1-4 in a trapezoidal form.
Convert trapezoidal load into UDL.
Live load from Slab B-D/3-4 = Live load on slab x ( Lx/2)
= 2.0kN/m²x ( 3.5/2)
= 3.5kN/m
Total Live Load
Total for 1-2 = 3.5kN/m+1.33kN/m
=4.83kN/m
Total for 2-3 = 3.5kN/m+1.983kN/m
=5.483kN/m
Total for 3-4 = 3.5kN/m+3.5kN/m
=7.0kN/m
23. Live Load Diagram
2000
1 4
LL from A-B/1-4=3.5kN/m
weWEoghtWEight
LL from B-C/1-2=1.33kN/m
LL fromslabB-D/3-4=3.5kN/m
2
1
3
12975 4025
LL from B-D/2-3=1.983kN/m
Total Live Load
4.83kN/m 5.483kN/m 7.0kN/m
24. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab 1-2 = 20.5kN/m x 1.4
= 28.7kN/m
Dead Load on Slab 2-3 =21.67kN/m x 1.4
= 30.34kN/m
Dead Load on Slab 3-4 =24.4kN/m x 1.4
= 34.16kN/m
Live Load on Slab 1-2 = 4.83kN/m x 1.6
= 7.73kN/m
Live Load on Slab 2-3 = 5.483kN/m x 1.6
= 8.77kN/m
Live Load on Slab 3-4 = 7.0kN/m x 1.6
= 11.2kN/m
Ultimate Load for 1-2 = 28.7kN/m+7.73kN/m
= 36.43kN/m
Ultimate Load for 2-3 = 30.34kN/m+8.77kN/m
= 39.11kN/m
Ultimate Load for 3-4 = 34.16kN/m+11.2kN/m
= 45.36kN/m
2000
1 42
1
3
12975 4025
Ultimate Load
36.43kN/
m
39.11kN/m 45.36kN/m
26. Beam Analysis Calculation
Ground Floor Beam, B-C /1
1)Carries Self Weight – Dead Load
2)Slab- Dead Load & Live Load
B-C/1-2 ( Two Way)
3)Brick Wall – Dead Load
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab B-C/1-2 ( Two Way Slab)
Load is transferred to beam B-C/1 in trapezoidal form.
Convert trapezoidal load into UDL.
Dead Load from Slab B-C/1-2 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (2/2)
= 3.6 kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab + Brick Wall
= 1.8kN/m + 3.6kN/m + 10kN/m
= 15.4kN/m
27. Total Dead Load Diagram
2500
B C
Beam self-weight = 1.8 kN/m
Brick wall weight = 10 kN/m
DL from slab B-C/1-2=3.6kN/m
Total DL = 15.4kN/m
28. Live Load on Slab B-C/1-2 ( Two Way Slab)
Load is transferred to beam B-C/1 in trapezoidal form.
Convert the trapezoidal load into UDL.
Live Load from slab A-B/1-4 = Live Load on Slab x ( Lx/2)
= 2.0 kN/m² x (2/2)
= 2.0 kN/m
Total Live Load
= Live Load on Slab
= 2.0 kN/m
Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab B-C/1-2 =15.4kN/m x 1.4
= 21.56kN/m
Live Load on Slab B-C/1-2 = 2.0kN/m x 1.6
= 3.2kN/m
Ultimate Load = 21.56kN/m + 3.2kN/m
=24.76kN/m
2500
B C
C
C
sa
d
Total Live load = 2.0 kN/m
2500
B C
C
C
sa
dUltimate Load=24.76 kN/m
30. Beam Analysis Calculation
Ground Floor Beam, D /3-4
1) Carries Self Weight – Dead Load
2) Slab- Dead Load & Live Load
B-D/3-4 ( Two Way)
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Dead Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam D/3-4 in trapezoidal form.
Convert trapezoidal load into UDL.
Dead Load from Slab B-C/1-2 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3 kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab
= 1.8kN/m + 6.3kN/m
= 8.1kN/m
31. Total Dead Load Diagram
4025
B C
Beam self-weight = 1.8 kN/m
DL from slab B-D/3-4=6.3kN/m
Total DL=8.1kN/m
32. Live Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam D/3-4 in trapezoidal form.
Convert the trapezoidal load into UDL.
Live Load from slab A-B/1-4 = Live Load on Slab x ( Lx/2)
= 2.0 kN/m² x (3.5/2)
= 3.5 kN/m
Total Live Load
= Live Load on Slab
= 3.5 kN/m
Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab B-D/3-4 =8.1kN/m x 1.4
= 11.34kN/m
Live Load on Slab B-D/3-4 = 3.5kN/m x 1.6
= 5.6kN/m
Ultimate Load = 11.34kN/m + 5.6kN/m
=16.94kN/m
4025
B C
Total Live load = 3.5 kN/m
4025
B C
Ultimate Load= 16.94kN/m
34. Beam Analysis Calculation
Ground Floor Beam, B-D /4
1)Carries Self Weight – Dead Load
2)Slab- Dead Load & Live Load
B-D/3-4 ( Two Way)
3)Brick Wall – Dead Load
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B-D/4 in triangular form.
Dead Load from Slab B-D/3-4 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3 kN/m
Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 6.3kN/m
=4.2kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab+ Brick Wall
= 1.8kN/m + 4.2kN/m+ 10kN/m
= 16kN/m
35. Total Dead Load Diagram
3500
B D
Beam self-weight = 1.8 kN/m
Brick wall weight = 10 kN/m
DL from slab B-D/3-4=4.2kN/m
Total DL = 16.0kN/m
36. Live Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B-D/4 in triangular form.
Live Load from Slab B-D/3-4 = Live Load on Slab x ( Lx/2)
= 2.0 kN/m² x (3.5/2)
= 3.5 kN/m
Convert triangular load into UDL by applying factor of 2/3.
Live load =2/3 x 3.5kN/m
=2.333kN/m
Total Live Load
= Live Load on Slab
= 2.333 kN/m
Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab B-D/3-4 =16kN/m x 1.4
= 22.4kN/m
Live Load on Slab B-D/3-4 = 2.333kN/m x 1.6
= 3.73kN/m
Ultimate Load = 22.4kN/m + 3.73kN/m
=26.13kN/m
3500
B D
Total Live load = 2.333 kN/m
3500
B D
Ultimate load = 26.13 kN/m
39. JEREMY TAY [0312228]
Beam Analysis Calculation
First Floor Beam, A-C/1
1)Carries Self Weight – Dead Load
2)Slab- Dead Load & Live Load
A-C/1-2 ( One Way)
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Dead Load on Slab A-C/1-2 ( One Way Slab)
Load is transferred to beam A-C/1 in UDL form.
Dead Load from Slab A-B/1-4 = Dead Load on Slab x ( Lx/2)
= 2.4 kN/m² x (2/2)
= 2.4kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab
= 1.8kN/m + 2.4kN/m
= 4.2kN/m
40. Total Dead Load Diagram
6000
A C
Beam self-weight = 1.8 kN/m
DL from slab A-B/1-4=2.4kN/m
Total DL= 4.2kN/m
41. Live Load on Slab A-C/1-2 ( One Way Slab)
Load is transferred to beam A-C/1 in UDL form.
Live Load from slab A-B/1-4 = Live Load on Slab x ( Lx/2)
= 1.5 kN/m² x (2/2)
= 1.5 kN/m
Total Live Load
= Live Load on Slab
= 1.5 kN/m
Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab A-C/1-2 =4.2kN/m x 1.4
= 5.88kN/m
Live Load on Slab A-C/1-2 = 1.5 kN/m x 1.6
= 2.4kN/m
Ultimate Load = 5.88kN/m + 2.4kN/m
=14.112kN/m
6000
A C
Total Live load = 1.5 kN/m
6000
A C
Ultimate Load = 14.112 kN/m
42. Reaction Force
ΣM = 0
= Rc (6) – 14.112 kN/m (6) (6/2)
= 6 Rc-254.02
6 Rc=254.02
Rc =42.34kN
ΣFY = 0
= Rc + Ra – 14.112kN/m (6)
=42.34 + Ra – 84.672
Ra =84.672-42.34
=42.33kN
6000
A C
42.33 kN
Ultimate Load=14.112kN/m
42.33 kN 42.34 kN
Load Diagram
Shear Force
Diagram
BendingMoment
Diagram
-42.34 kN
63.5 kN
43. Beam Analysis Calculation
First Floor Beam, A /2-4
1)Carries Self Weight – Dead Load
2)Slab- Dead Load & Live Load
A-B/2-4 ( Two Way)
3)Brick Wall – Dead Load
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab A-B/2-4 ( Two Way Slab)
Load is transferred to beam A/2-4 in trapezoidal form.
Convert trapezoidal load into UDL.
Dead Load from Slab A-B/12 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab + Brick Wall
= 1.8kN/m + 6.3kN/m + 10kN/m
= 18.1kN/m
44. Total Dead Load Diagram
7000
2 4
Beam self-weight = 1.8 kN/m
Brick wall weight = 10 kN/m
DL from slab A-B/2-4= 6.3kN/m
Total DL = 18.1kN/m
45. Live Load on Slab A-B/2-4 ( Two Way Slab)
Load is transferred to beam A/2-4 in trapezoidal form.
Convert trapezoidal load into UDL.
Live Load from slab A-B/2-4 = Live Load on Slab x ( Lx/2)
= 5.0 kN/m² x (3.5/2)
= 8.75 kN/m
Total Live Load
= Live Load on Slab
= 8.75 kN/m
Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab A-B/1-4 =18.1kN/m x 1.4
= 25.34kN/m
Live Load on Slab A-B/1-4 = 8.75kN/m x 1.6
= 14 kN/m
Ultimate Load = 25.34kN/m + 14kN/m
=39.34kN/m
7000
2 4
Total Live load = 8.75 kN/m
7000
2 4
Ultimate Load = 39.34 kN/m
47. Beam Analysis Calculation
First Floor Beam, B-D /3
1) Carries Self Weight – Dead Load
2) Slab- Dead Load & Live Load
B-D/2-3 ( Two Way)
B-D/3-4 ( Two Way)
3)Brick Wall – Dead Load
Beam Self Weight =Beam Sizex Concrete Density
=0.125mx 0.6mx 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4mx0.15mx19kN/ m³
=10kN/m
Dead Load on Slab B-D/2-3 ( Two Way Slab)
Load is transferred to beam B-D/3 a trapezoidal form.
Convert trapezoidal load into UDL.
Dead Load from Slab A-B/1-4 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (2.975/2)
= 5.355kN/m
Dead Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B-D/3 a triangular form.
Dead Load from Slab A-B/1-4 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3kN/m
Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 6.3kN/m
=4.2kN/m
48. Total Deal Load
= BeamSelf Weight + Dead Load on Slab + Brick Wall
= 1.8kN/m + 5.355kN/m+ 4.2kN/m + 10kN/m
= 21.355kN/m
Total Dead Load Diagram
3500
B D
Beam Self Weight=1.8kN/m
weWEoghtWEight
Brick wall weight = 10 kN/m
DL from slab B-D/2-3=5.355kN/m
DL from slab B-D/3-4=4.2kN/m
Total Dead Load=21.355kN/m
49. Live Load on Slab B-D/2-3 ( Two Way Slab)
Load is transferred to beam B-D/3 in a trapezoidal form.
Convert trapezoidal load into UDL.
Live load from Slab B-D/3-4 = Live load on slab x ( Lx/2)
= 1.5kN/m²x ( 2.975/2)
= 2.231kN/m
Live Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B-D/3 in a triangular form.
Live load from Slab B-D/2-3 = Live load on slab x ( Lx/2)
= 2.5kN/m²x ( 3.5/2)
= 4.375kN/m
Convert triangular load into UDL by applying factor of 2/3.
Live load =2/3 x 4.375kN/m
=2.92kN/m
Total Live Load
= Live Load on Slab
=2.231kN/m+2.92kN/m
=5.151kN/m
Total Live Load Diagram
3500
B D
LL fromslabB-D/2-3 =2.231kN/m
LL fromslabB-D/3-4=2.92kN/m
Total Live Load=5.151kN/m
50. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab B-D/2-4 =21.355kN/m x 1.4
= 29.897kN/m
Live Load on Slab B-D/2-4 = 5.151kN/m x 1.6
= 8.242kN/m
Ultimate Load = 29.897kN/m + 8.242kN/m
=38.139kN/m
3500
B D
Ultimate Load=38.139kN/m
52. Beam Analysis Calculation
First FloorBeam, B /2-4
1. CarriesSelf Weight–Dead Load
2. Slab- DeadLoad & Live Load
A-B/2-4( Two Way)
B-D/2-3 (TwoWay)
B-D/3-4 (TwoWay)
3. Brick Wall – Dead Load
Beam SelfWeight=BeamSize x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Heightx Thicknessx Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab A-B/2-4 ( Two WaySlab)
Load istransferredtobeamB/2-4 ina trapezoidal form.
Convert trapezoidal load into UDL.
Deadload fromSlabB-C/1-2 = Dead loadon slabx ( Lx/2)
= 3.6kN/m²x ( 3.5/2)
= 6.3kN/m
Dead Load on Slab B-D/2-3 ( Two Way Slab)
Load istransferredtobeamB/1-4 ina triangularform.
Deadload fromSlab B-D/2-3 = Deadloadon slabx ( Lx/2)
= 3.6kN/m²x ( 2.975/2)
= 5.355kN/m
ConverttriangularloadintoUDL by applyingfactorof 2/3.
Deadload =2/3 x 5.355kN/m
=3.57kN/m
Dead Load on Slab B-D/3-4 ( Two Way Slab)
Load istransferredtobeamB/1-4 ina trapezoidal form.
Convert trapezoidal load into UDL.
Deadload fromSlab B-C/1-2 = Dead loadon slabx ( Lx/2)
= 3.6kN/m²x ( 3.5/2)
= 6.3kN/m
53. Total Dead Load
Total for2-3 = Beam Self Weight+Dead Load onSlab + Brick Wall
=1.8kN/m + 6.3kN/m+ 3.57kN/m + 10kN/m
=21.67kN/m
Total for3-4 = Beam Self Weight+Dead Load onSlab
=1.8kN/m + 6.3kN/m+6.3kN/m
=14.4kN/m
2 4
Beam Self Weight=1.8kN/m
weWEoghtWEight
Brick wall weight = 10 kN/m
DL from slab A-B/2-4=6.3kN/m
DL from slab B-D/2-3=3.57kN/m
DL fromslabB-D/2-3=6.3kN/m
3
1
2975 4025
54. Live Load on Slab A-B/2-4 ( Two Way Slab)
Load istransferredtobeamB/2-4 ina trapezoidal form.
Convert trapezoidal load into UDL.
Live loadfromSlabA-B/2-4 = Live loadonslab x ( Lx/2)
= 5.0kN/m²x ( 3.5/2)
= 8.75kN/m
Live Load on Slab B-D/2-3 ( Two Way Slab)
Load istransferredtobeamB/2-4 ina triangularform.
Live loadfromSlab B-D/2-3 = Live loadon slabx ( Lx/2)
= 1.5kN/m²x ( 2.975/2)
= 2.231kN/m
ConverttriangularloadintoUDL by applyingfactorof 2/3.
Deadload =2/3 x 2.231kN/m
=1.487kN/m
Live Load on Slab B-D/3-4 ( Two Way Slab)
Load istransferredtobeamB/2-4 ina trapezoidal form.
Convert trapezoidal load into UDL.
Live loadfromSlab B-D/3-4 = Live loadonslabx ( Lx/2)
= 2.5kN/m²x ( 3.5/2)
= 4.375kN/m
Total Live Load
Total for2-3 = 8.75kN/m+1.487kN/m
=10.237kN/m
Total for3-4 = 8.75kN/m+4.375kN/m
=13.125kN/m
2975
2 4
Total DeadLoad
3
4025
21.67kN/m 14.4kN/m
56. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab 2-3 =21.67kN/m x 1.4
= 30.34kN/m
Dead Load on Slab 3-4 =14.4kN/m x 1.4
= 20.16kN/m
Live Load on Slab 2-3 = 10.237kN/m x 1.6
= 16.38kN/m
Live Load on Slab 3-4 = 13.125kN/m x 1.6
= 21kN/m
Ultimate Load for 2-3 = 30.34kN/m+16.38kN/m
= 46.72kN/m
Ultimate Load for 3-4 = 20.16kN/m+21kN/m
= 41.16kN/m
2975
2 4
Total Ultimate Load=87.88kN/m
3
4025
46.72kN/m 41.16kN/m
58. Beam Analysis Calculation
First Floor Beam, A-B /4
1) Carries Self Weight – Dead Load
2) Slab- Dead Load & Live Load
A-B/2-4 ( Two Way)
3) Brick Wall – Dead Load
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab A-B/2-4 ( Two Way Slab)
Load is transferred to beam A-B/4 in triangular form.
Dead Load from Slab A-B/2-4 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3 kN/m
Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 6.3kN/m
=4.2kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab+ Brick Wall
= 1.8kN/m + 4.2kN/m+ 10kN/m
= 16kN/m
59. Total Dead Load Diagram
Live Load on Slab A-B/2-4 ( Two Way Slab)
Load is transferred to beam A-B/4 in triangular form.
Live Load from Slab A-B/2-4 = Live Load on Slab x ( Lx/2)
= 5.0 kN/m² x (3.5/2)
= 8.75 kN/m
Convert triangular load into UDL by applying factor of 2/3.
Live load =2/3 x 8.75kN/m
=5.833kN/m
Total Live Load
= Live Load on Slab
= 5.833 kN/m
3500
A B
Beam self-weight = 1.8 kN/m
Brick wall weight = 10 kN/m
DL from slab A-B/2-4= 4.2kN/m
Total DL = 16.0kN/m
60. Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab B-D/3-4 =16kN/m x 1.4
= 22.4kN/m
Live Load on Slab B-D/3-4 = 5.833kN/m x 1.6
= 9.33kN/m
Ultimate Load = 22.4kN/m + 9.33kN/m
=31.73kN/m
3500
A B
Total Live load = 5.833 kN/m
3500
A B
Ultimate Load = 31.73 kN/m
61. Reaction Force
ΣM = 0
= Rb (3.5) – 31.73 kN/m (3.5) (3.5/2)
= 3.5 Rd-194.35kN/m
3.5Rb =194.35
Rb =55.53kN
ΣFY = 0
= Rb + Ra – 31.73kN/m (3.5)
=55.53 + Ra –111.06kN/m
Ra =111.06-55.53
=55.53kN
3500
A B
55.53 kN
Ultimate Load=31.73kN/m
55.53 kN 55.53 kN
Load Diagram
Shear Force
Diagram
BendingMoment
Diagram
-55.53 kN
48.59
62. Beam Analysis Calculation
First Floor Beam, B-D /4
1)Carries Self Weight – Dead Load
2)Slab- Dead Load & Live Load
B-D/3-4 ( Two Way)
3)Brick Wall – Dead Load
Beam Self Weight =Beam Size x Concrete Density
=0.125m x 0.6m x 24kN/m³
=1.8kN/m
Brick Wall =Wall Height x Thickness x Density
=3.4m x0.15m x19kN/ m³
=10kN/m
Dead Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B-D/4 in triangular form.
Dead Load from Slab B-D/3-4 = Dead Load on Slab x ( Lx/2)
= 3.6 kN/m² x (3.5/2)
= 6.3 kN/m
Convert triangular load into UDL by applying factor of 2/3.
Dead load =2/3 x 6.3kN/m
=4.2kN/m
Total Deal Load
= BeamSelf Weight + Dead Load on Slab+ Brick Wall
= 1.8kN/m + 4.2kN/m+ 10kN/m
= 16kN/m
63. Total Dead Load Diagram
Live Load on Slab B-D/3-4 ( Two Way Slab)
Load is transferred to beam B-D/4 in triangular form.
Live Load from Slab B-D /3-4 = Live Load on Slab x ( Lx/2)
= 2.5 kN/m² x (3.5/2)
= 4.375 kN/m
Convert triangular load into UDL by applying factor of 2/3.
Live load =2/3 x 4.375kN/m
=2.92kN/m
Total Live Load
= Live Load on Slab
= 2.92 kN/m
3500
B D
Beam self-weight = 1.8 kN/m
Brick wall weight = 10 kN/m
DL from slab B-D/3-4=4.2kN/m
Total DL = 16.0kN/m
64. Total Live Load Diagram
Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively.
Dead Load on Slab B-D/3-4 =16kN/m x 1.4
= 22.4kN/m
Live Load on Slab B-D/3-4 = 2.92kN/m x 1.6
= 4.672kN/m
Ultimate Load = 22.4kN/m + 4.672kN/m
=27.07kN/m
3500
B D
Total Live load = 2.92 kN/m
3500
B D
Ultimate Load = 27.07kN/m