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Building Structure Project 2

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Wen Yee

This document describes a structural engineering project to extend a reinforced concrete bungalow. It includes plans and structural drawings of the proposed extension. Structural calculations are shown to size the beams and foundations for the added weight of the extension, accounting for dead loads such as slab and wall weight as well as live loads. Beam bending moments and shear forces are calculated using the ultimate load case. The project aims to provide students experience with structural design and analysis procedures.

Design
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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)
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
Ground Floor Extension Plan Scale 1:150 First Floor Extension Plan Scale 1:150
Foundation Extension Plan Scale 1:150 Ground Floor Structural Plan Scale 1:150
First Floor Structural Plan Scale 1:150 Roof Structural Plan Scale 1:150
Building Structure Project 2
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)
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)
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
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
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
Reaction Force ΣM = 0 = R4 (9) – 30.94 kN/m (9) (9/2) = 9 R4-1253.07 9 R4=1253.07 R4 =139.23kN ΣFY = 0 = R4 + R1 – 30.94kN/m (9) =139.23 + R1 – 278.46 R1 =278.46-139.23 =139.23kN 9000 1 4 Ultimate Load = 30.94 kN/m 139.23 kN -139.23 kN 313.26 139.23 kN 139.23 kN Load Diagram Shear Force Diagram BendingMoment Diagram
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
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
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
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
Reaction Force ΣM = 0 = Rd (3.5) – 38.39 kN/m (3.5) (3.5/2) = 3.5 Rb-235.14 3.5 Rd =235.14 Rd =67.18kN ΣFY = 0 = Rd + Rb– 38.39kN/m (3.5) =67.18 + Rb -134.37 Rb =134.37-67.18 =67.19kN 3500 B D 67.19 kN -67.18 kN 57.78 Ultimate Load=38.39kN/m 67.19 kN 67.18 kN Load Diagram Shear Force Diagram BendingMoment Diagram
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
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
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
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
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
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
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
Reaction Force ΣM = 0 = R4 (9) – 45.36 kN/m (4.025) (6.99) – 39.11kN/m(2.975)(2.538)- 36.43kN/m (2)(1)- 67.19(4.975) = 9R4 – 1276.19-295.3-72.86-334.27 9R4 =1978.62 R4 =219.85kN ΣFY = 0 = R4 + R1–45.36(4.025)-39.11(2.975)-36.43(2)-67.19(4.975) =219.85 + R1-706.05 R1 =706.05-219.85 =486.2kN 2000 1 42 1 3 12975 4025 36.43kN/m 39.11kN/m 45.36kN/m 413.24kN 296.99kN -37.28kN -163.5kN Load Diagram Shear Force Diagram BendingMoment Diagram
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
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
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
Reaction Force ΣM = 0 = Rb (2.5) – 24.76 kN/m (2.5) (2.5/2) = 2.5 Rb-77.375kN/m 2.5 Rb=77.375 Rb =30.95kN ΣFY = 0 = Rb + Rc – 24.76kN/m (2.5) =30.95 + Rc –61.9kN/m Rc =61.9-30.95 =30.95kN Load Diagram 2500 B C Ultimate Load = 24.76 kN/m 30.95 kN -30.95 kN 19.34 30.95 kN 30.95 kN Shear Force Diagram BendingMoment Diagram
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
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
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
Reaction Force ΣM = 0 = Rb (4.025) – 16.94 kN/m (4.025) (4.025/2) = 4.025 Rb-137.22kN/m 4.025Rb =137.22 R4b=34.09kN ΣFY = 0 = R4 + R1 – 16.94kN/m (4.025) =34.09 + R1 –68.18kN/m Rc =68.18-34.09 =34.09kN Load Diagram 4025 B C Ultimate Load = 16.94 kN/m 34.09 kN -34.09 kN 34.09 kN 34.09 kN Shear Force Diagram BendingMoment Diagram 34.26 kN
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
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
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
Reaction Force ΣM = 0 = Rd (3.5) – 26.13 kN/m (3.5) (3.5/2) = 3.5 Rd-160.05kN/m 3.5Rd =160.05 Rd =45.73kN ΣFY = 0 = Rd + Rb – 26.13kN/m (3.5) =45.73 + R1 –91.46kN/m Rb =91.46-45.73 =45.73kN 3500 B D 45.73 kN Ultimate Load=26.13kN/m 45.73 kN 45.73 kN Load Diagram Shear Force Diagram BendingMoment Diagram -45.73 kN 40 kN
Column Analysis Calculation (Tributary Area Method) To identifyhowmuchloadwouldbe transferredfromslabtocolumn. GroundFloor (Dead Load) Column Area (m²) Load(kN) 1 4.5x1.747=7.862 7.862m²x3.6kN/m²=28.3kN (TeaRoom) 2 3.063x4.5=13.78 13.78m²x3.6 kN/m²=49.61kN(TeaRoom) 3 1.68x1.969=3.308 3.308m²x3.6 kN/m²=11.91kN(DiningRoom) 4 (2.193x1.056)+(2.531x1.58) 6.316m²x3.6 kN/m²=22.74kN(DiningRoom) =6.316 GroundFloor (Live Load) Column Area (m²) Load(kN) 1 4.5x1.747=7.862 7.862m²x2.0kN/m²=15.724kN (Tea Room) 2 3.063x4.5=13.78 13.78m²x2.0 kN/m²=27.56kN(TeaRoom) 3 1.68x1.969=3.308 3.308m²x2.0 kN/m²=6.616kN(DiningRoom) 4 (2.193x1.056)+(2.531x1.58) 6.316m²x2.0 kN/m²=12.632kN(DiningRoom) =6.316
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
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
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
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
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
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
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
Reaction Force ΣM = 0 = R4 (7) – 39.34 kN/m (7) (7/2) = 7 R4-963.83 7 R4=963.83 R4 =137.69kN ΣFY = 0 = R4 + R2 – 39.34kN/m (7) =137.69 + R2 – 275.38 R2 =275.38-137.69 =137.69kN 7000 2 4 137.69 kN Ultimate Load=39.34kN/m 137.69 kN 137.69 kN Load Diagram Shear Force Diagram BendingMoment Diagram -137.69 kN 240.96
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
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
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
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
Reaction Force ΣM = 0 = Rd (3.5) – 38.139 kN/m (3.5) (3.5/2) = 3.5 Rb-233.6 3.5 Rd =233.6 Rd =66.74kN ΣFY = 0 = Rd + Rb– 38.139kN/m (3.5) =66.74 + Rb -133.49 Rb =133.49-66.74 =66.75kN 3500 B D 66.75 kN Ultimate Load=38.139kN/m 66.75 kN 66.74 kN Load Diagram Shear Force Diagram BendingMoment Diagram -66.74 kN 58.41
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
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
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
Live Load Diagram 2975 2 4 LL fromslabA-B/2-4 = 8.75kN/m 3 4025 LL fromslabB-D/2-3 = 1.487kN/m LL fromslabB-D/3-4 =4.375kN/m Total LL = 13.125 kN/m
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
Reaction Force ΣM = 0 = R4 (7) – 41.16 kN/m (4.025) (4.988) –46.72kN/m (2.975)(1.488)- 66.75(2.975) [point load] = 7R4 – 826.36 – 206.82-198.58 7R4 =1231.76 R4 =175.97kN ΣFY = 0 = R4 + R2–46.72(2.975)-41.16(4.025)-66.75(2.975) =175.97 + R2-503.24 R2 =503.24-175.97 =327.27kN 2975 2 43 4025 46.72kN/m 41.16kN/m 327.27kN 188.28kN -10.3kN -175.97kN Load Diagram Shear Force Diagram BendingMoment Diagram
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
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
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
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
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
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
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
Reaction Force ΣM = 0 = Rd (3.5) – 27.07 kN/m (3.5) (3.5/2) = 3.5 Rd-165.8kN/m 3.5Rd =165.8 Rd =47.37kN ΣFY = 0 = Rd + Rb – 27.07kN/m (3.5) =47.37 + R1 –94.75kN/m Rb =94.75-47.37 =47.38kN 3500 B D 47.38 kN Ultimate Load=27.07kN/m 47.38 kN 47.37 kN Load Diagram Shear Force Diagram BendingMoment Diagram -47.37 kN 41.46
Column Analysis Calculation (Tributary Area Method) To identifyhowmuchloadwouldbe transferredfromslabtocolumn. First Floor(Dead Load) Column Area (m²) Load(kN) 1 3.5x1=3.5 3.5m²x2.4kN/m²=8.4kN (Balcony) 2 4.544x3.5=15.904 15.904m²x3.6 kN/m²=57.25kN(Gymnasium) 3 4.5x3.572=16.074 16.074m²x3.6 kN/m²=57.87kN(Library) 4 1.969x1.68=3.308 3.308 m²x3.6 kN/m²=11.91kN(Library) First Floor(Live Load) Column Area (m²) Load(kN) 1 3.5x1=3.5 3.5m²x1.5kN/m²=5.25kN (Balcony) 2 4.544x3.5=15.904 15.904m²x5 kN/m²=79.52kN(Gymnasium) 3 4.5x3.572=16.074 16.074m²x2.5 kN/m²=40.19kN(Library) 4 1.969x1.68=3.308 3.308 m²x2.5 kN/m²=8.27kN(Library)

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Building Structure Project 2

  • 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
  • 3. Ground Floor Extension Plan Scale 1:150 First Floor Extension Plan Scale 1:150
  • 4. Foundation Extension Plan Scale 1:150 Ground Floor Structural Plan Scale 1:150
  • 5. First Floor Structural Plan Scale 1:150 Roof Structural Plan Scale 1:150
  • 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
  • 12. Reaction Force ΣM = 0 = R4 (9) – 30.94 kN/m (9) (9/2) = 9 R4-1253.07 9 R4=1253.07 R4 =139.23kN ΣFY = 0 = R4 + R1 – 30.94kN/m (9) =139.23 + R1 – 278.46 R1 =278.46-139.23 =139.23kN 9000 1 4 Ultimate Load = 30.94 kN/m 139.23 kN -139.23 kN 313.26 139.23 kN 139.23 kN Load Diagram Shear Force Diagram BendingMoment Diagram
  • 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
  • 17. Reaction Force ΣM = 0 = Rd (3.5) – 38.39 kN/m (3.5) (3.5/2) = 3.5 Rb-235.14 3.5 Rd =235.14 Rd =67.18kN ΣFY = 0 = Rd + Rb– 38.39kN/m (3.5) =67.18 + Rb -134.37 Rb =134.37-67.18 =67.19kN 3500 B D 67.19 kN -67.18 kN 57.78 Ultimate Load=38.39kN/m 67.19 kN 67.18 kN Load Diagram Shear Force Diagram BendingMoment Diagram
  • 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
  • 25. Reaction Force ΣM = 0 = R4 (9) – 45.36 kN/m (4.025) (6.99) – 39.11kN/m(2.975)(2.538)- 36.43kN/m (2)(1)- 67.19(4.975) = 9R4 – 1276.19-295.3-72.86-334.27 9R4 =1978.62 R4 =219.85kN ΣFY = 0 = R4 + R1–45.36(4.025)-39.11(2.975)-36.43(2)-67.19(4.975) =219.85 + R1-706.05 R1 =706.05-219.85 =486.2kN 2000 1 42 1 3 12975 4025 36.43kN/m 39.11kN/m 45.36kN/m 413.24kN 296.99kN -37.28kN -163.5kN Load Diagram Shear Force Diagram BendingMoment Diagram
  • 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
  • 29. Reaction Force ΣM = 0 = Rb (2.5) – 24.76 kN/m (2.5) (2.5/2) = 2.5 Rb-77.375kN/m 2.5 Rb=77.375 Rb =30.95kN ΣFY = 0 = Rb + Rc – 24.76kN/m (2.5) =30.95 + Rc –61.9kN/m Rc =61.9-30.95 =30.95kN Load Diagram 2500 B C Ultimate Load = 24.76 kN/m 30.95 kN -30.95 kN 19.34 30.95 kN 30.95 kN Shear Force Diagram BendingMoment Diagram
  • 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
  • 33. Reaction Force ΣM = 0 = Rb (4.025) – 16.94 kN/m (4.025) (4.025/2) = 4.025 Rb-137.22kN/m 4.025Rb =137.22 R4b=34.09kN ΣFY = 0 = R4 + R1 – 16.94kN/m (4.025) =34.09 + R1 –68.18kN/m Rc =68.18-34.09 =34.09kN Load Diagram 4025 B C Ultimate Load = 16.94 kN/m 34.09 kN -34.09 kN 34.09 kN 34.09 kN Shear Force Diagram BendingMoment Diagram 34.26 kN
  • 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
  • 37. Reaction Force ΣM = 0 = Rd (3.5) – 26.13 kN/m (3.5) (3.5/2) = 3.5 Rd-160.05kN/m 3.5Rd =160.05 Rd =45.73kN ΣFY = 0 = Rd + Rb – 26.13kN/m (3.5) =45.73 + R1 –91.46kN/m Rb =91.46-45.73 =45.73kN 3500 B D 45.73 kN Ultimate Load=26.13kN/m 45.73 kN 45.73 kN Load Diagram Shear Force Diagram BendingMoment Diagram -45.73 kN 40 kN
  • 38. Column Analysis Calculation (Tributary Area Method) To identifyhowmuchloadwouldbe transferredfromslabtocolumn. GroundFloor (Dead Load) Column Area (m²) Load(kN) 1 4.5x1.747=7.862 7.862m²x3.6kN/m²=28.3kN (TeaRoom) 2 3.063x4.5=13.78 13.78m²x3.6 kN/m²=49.61kN(TeaRoom) 3 1.68x1.969=3.308 3.308m²x3.6 kN/m²=11.91kN(DiningRoom) 4 (2.193x1.056)+(2.531x1.58) 6.316m²x3.6 kN/m²=22.74kN(DiningRoom) =6.316 GroundFloor (Live Load) Column Area (m²) Load(kN) 1 4.5x1.747=7.862 7.862m²x2.0kN/m²=15.724kN (Tea Room) 2 3.063x4.5=13.78 13.78m²x2.0 kN/m²=27.56kN(TeaRoom) 3 1.68x1.969=3.308 3.308m²x2.0 kN/m²=6.616kN(DiningRoom) 4 (2.193x1.056)+(2.531x1.58) 6.316m²x2.0 kN/m²=12.632kN(DiningRoom) =6.316
  • 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
  • 46. Reaction Force ΣM = 0 = R4 (7) – 39.34 kN/m (7) (7/2) = 7 R4-963.83 7 R4=963.83 R4 =137.69kN ΣFY = 0 = R4 + R2 – 39.34kN/m (7) =137.69 + R2 – 275.38 R2 =275.38-137.69 =137.69kN 7000 2 4 137.69 kN Ultimate Load=39.34kN/m 137.69 kN 137.69 kN Load Diagram Shear Force Diagram BendingMoment Diagram -137.69 kN 240.96
  • 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
  • 51. Reaction Force ΣM = 0 = Rd (3.5) – 38.139 kN/m (3.5) (3.5/2) = 3.5 Rb-233.6 3.5 Rd =233.6 Rd =66.74kN ΣFY = 0 = Rd + Rb– 38.139kN/m (3.5) =66.74 + Rb -133.49 Rb =133.49-66.74 =66.75kN 3500 B D 66.75 kN Ultimate Load=38.139kN/m 66.75 kN 66.74 kN Load Diagram Shear Force Diagram BendingMoment Diagram -66.74 kN 58.41
  • 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
  • 55. Live Load Diagram 2975 2 4 LL fromslabA-B/2-4 = 8.75kN/m 3 4025 LL fromslabB-D/2-3 = 1.487kN/m LL fromslabB-D/3-4 =4.375kN/m Total LL = 13.125 kN/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
  • 57. Reaction Force ΣM = 0 = R4 (7) – 41.16 kN/m (4.025) (4.988) –46.72kN/m (2.975)(1.488)- 66.75(2.975) [point load] = 7R4 – 826.36 – 206.82-198.58 7R4 =1231.76 R4 =175.97kN ΣFY = 0 = R4 + R2–46.72(2.975)-41.16(4.025)-66.75(2.975) =175.97 + R2-503.24 R2 =503.24-175.97 =327.27kN 2975 2 43 4025 46.72kN/m 41.16kN/m 327.27kN 188.28kN -10.3kN -175.97kN Load Diagram Shear Force Diagram BendingMoment Diagram
  • 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
  • 65. Reaction Force ΣM = 0 = Rd (3.5) – 27.07 kN/m (3.5) (3.5/2) = 3.5 Rd-165.8kN/m 3.5Rd =165.8 Rd =47.37kN ΣFY = 0 = Rd + Rb – 27.07kN/m (3.5) =47.37 + R1 –94.75kN/m Rb =94.75-47.37 =47.38kN 3500 B D 47.38 kN Ultimate Load=27.07kN/m 47.38 kN 47.37 kN Load Diagram Shear Force Diagram BendingMoment Diagram -47.37 kN 41.46
  • 66. Column Analysis Calculation (Tributary Area Method) To identifyhowmuchloadwouldbe transferredfromslabtocolumn. First Floor(Dead Load) Column Area (m²) Load(kN) 1 3.5x1=3.5 3.5m²x2.4kN/m²=8.4kN (Balcony) 2 4.544x3.5=15.904 15.904m²x3.6 kN/m²=57.25kN(Gymnasium) 3 4.5x3.572=16.074 16.074m²x3.6 kN/m²=57.87kN(Library) 4 1.969x1.68=3.308 3.308 m²x3.6 kN/m²=11.91kN(Library) First Floor(Live Load) Column Area (m²) Load(kN) 1 3.5x1=3.5 3.5m²x1.5kN/m²=5.25kN (Balcony) 2 4.544x3.5=15.904 15.904m²x5 kN/m²=79.52kN(Gymnasium) 3 4.5x3.572=16.074 16.074m²x2.5 kN/m²=40.19kN(Library) 4 1.969x1.68=3.308 3.308 m²x2.5 kN/m²=8.27kN(Library)