Building Structure Project 2

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 IDTan Wen Yee 0315155

Jeremy Tay Eujin 0312228

Lecturer: Ms NoritaSubmission 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 system of 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

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

Quantity Dead Loads Acting On Structure

Ground Floor

Extended Dining RoomSlab thickness = 150mmSlab self-weight = 0.15m x 24kN/m³ = 3.6 kN/m²

Extended KitchenSlab thickness = 150mmSlab self-weight = 0.15m x 24kN/m³ = 3.6 kN/m²

Tearoom Slab thickness = 150mmSlab self-weight = 0.15m x 24kN/m³ = 3.6 kN/m²

First Floor

LibrarySlab thickness = 150mmSlab self-weight = 0.15m x 24kN/m³ = 3.6 kN/m²CorridorSlab thickness = 150mmSlab self-weight = 0.15m x 24kN/m³ = 3.6 kN/m²BalconySlab thickness = 100mmSlab self-weight = 0.1m x 24kN/m³ = 2.4 kN/m²

Gymnasium Slab thickness = 150mmSlab 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 Self Weight:(Assume that initial beam size 125mmx600mm)=Beam Size x Concrete Density=0.125m x 0.6m x 24kN/m³=1.8kN/m

Quantity Live Loads Acting On Structure

Ground Floor

Dining room:2.0 kN/m²

Kitchen:2.0 kN/m²

Tearoom:2.0 kN/m²

First Floor

Library:2.5 kN/m²

Corridor1.5 kN/m²

Balcony1.5 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 SlabIndicating 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 Extended Dining Room=4025 ÷ 3500=1.15 < 2 (Two Way Slab)

Extended Kitchen=3500 ÷ 2975=1.18 < 2 (Two Way Slab)

=2500 ÷ 2000=1.25 < 2 (Two Way Slab)

Tearoom

=9000 ÷ 3500

=2.57 > 2 (One Way Slab)

First Floor

Library

=4025 ÷ 3500

=1.15 < 2 (Two Way Slab)

Corridor=3500 ÷ 2975=1.18 < 2 (Two Way Slab)

Balcony= 6000 ÷ 2000=3 > 2 (One Way Slab)

Gymnasium=7000 ÷ 3500=2= 2 (Two Way Slab)

Beam Analysis CalculationGround Floor Beam, A /1-4

1) Carries Self Weight – Dead Load2) 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/m² x (3.5/2) = 6.3kN/m

Total Deal Load= Beam Self Weight + Dead Load on Slab + Brick Wall= 1.8kN/m + 6.3kN/m + 10kN/m= 18.1kN/m

Total Dead Load Diagram

90001 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

90001 4

Total Live load = 3.5 kN/m

90001 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

90001 4


139.23 kN

-139.23 kN313.26

139.23 kN 139.23 kN

Load Diagram

Shear Force Diagram

Bending Moment Diagram

Beam Analysis CalculationGround Floor Beam, B-D /3


B-D/2-3 ( Two Way) B-D/3-4 ( Two Way)

Brick Wall – Dead Load



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= Beam Self Weight + Dead Load on Slab + Brick Wall= 1.8kN/m + 5.355kN/m+ 4.2kN/m + 10kN/m= 21.355kN/m


3500B D

Beam Self Weight=1.8kN/m


DL from slab B-D/2-3=5.355kN/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


3500B D

LL from slab B-D/2-3 =2.975kN/m

LL from slab B-D/3-4=2.333kN/m

Total Live Load=5.308kN/m

Ultimate Load


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


=38.39kN/m

Ultimate Load Diagram

3500B 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

3500B D

67.19 kN

-67.18 kN57.78


67.19 kN 67.18 kN

Load Diagram

Shear Force Diagram


Beam Analysis CalculationGround Floor Beam, B /1-4

1. Carries Self Weight – Dead Load2. 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



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/mConvert 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


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


2000

1 4



DL from slab A-B/1-4=6.3kN/m

DL from slab B-C/1-2=2.4kN/m


2 32975 4025

2000

1 4


Total Dead Load

2 32975 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/mConvert 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/mConvert 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



Live Load Diagram

2000

1 4

LL from A-B/1-4=3.5kN/m

LL from B-C/1-2=1.33kN/m


2 32975 4025

LL from B-D/2-3=1.983kN/m

Total Live Load

4.83kN/m 5.483kN/m 7.0kN/m

Ultimate Load


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


= 34.16kN/m

Live Load on Slab 1-2 = 4.83kN/m x 1.6

= 7.73kN/m


= 8.77kN/m


= 11.2kN/m

Ultimate Load for 1-2 = 28.7kN/m+7.73kN/m

= 36.43kN/m


= 39.11kN/m


= 45.36kN/m

2000

1 42 32975 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 32975 4025

36.43kN/m 39.11kN/m 45.36kN/m

413.24kN

296.99kN

-37.28kN

-163.5kN

Load Diagram

Shear Force Diagram


Beam Analysis CalculationGround Floor Beam, B-C /1

1)Carries Self Weight – Dead Load2)Slab- Dead Load & Live Load

B-C/1-2 ( Two Way)3)Brick Wall – Dead Load



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



2500B C



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/mTotal Live Load= Live Load on Slab= 2.0 kN/m


Ultimate Load


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


=24.76kN/m

2500B C


2500B C

Ultimate 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

2500B C


30.95 kN

-30.95 kN19.34

30.95 kN 30.95 kN

Shear Force Diagram


Beam Analysis Calculation

Ground Floor Beam, D /3-4

1) Carries Self Weight – Dead Load2) Slab- Dead Load & Live Load B-D/3-4 ( Two Way)


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= Beam Self Weight + Dead Load on Slab = 1.8kN/m + 6.3kN/m = 8.1kN/m


4025B C



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



Ultimate Load



= 11.34kN/m


= 5.6kN/m


=16.94kN/m

4025B C


4025B 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

4025B C


34.09 kN

-34.09 kN

34.09 kN 34.09 kN

Shear Force Diagram


34.26 kN

Beam Analysis CalculationGround Floor Beam, B-D /4

1)Carries Self Weight – Dead Load2)Slab- Dead Load & Live Load B-D/3-4 ( Two Way)3)Brick Wall – Dead Load



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/mConvert triangular load into UDL by applying factor of 2/3.Dead load =2/3 x 6.3kN/m =4.2kN/m

Total Deal Load= Beam Self Weight + Dead Load on Slab+ Brick Wall= 1.8kN/m + 4.2kN/m+ 10kN/m= 16kN/m


3500B D




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/mConvert triangular load into UDL by applying factor of 2/3.Live load =2/3 x 3.5kN/m =2.333kN/m



Ultimate Load


Dead Load on Slab B-D/3-4 =16kN/m x 1.4

= 22.4kN/m


= 3.73kN/m


=26.13kN/m

3500B D


3500B 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

3500B D

45.73 kN


45.73 kN 45.73 kN

Load Diagram

Shear Force Diagram


-45.73 kN40 kN

Column Analysis Calculation (Tributary Area Method)

To identify how much load would be transferred from slab to column.

Ground Floor (Dead Load)

Column Area (m²) Load(kN)

1 4.5x1.747=7.862 7.862m²x3.6kN/m²=28.3kN (Tea Room)

2 3.063x4.5=13.78 13.78m²x3.6 kN/m²=49.61kN(Tea Room)

3 1.68x1.969=3.308 3.308m²x3.6 kN/m²=11.91kN(Dining Room)

4 (2.193x1.056)+(2.531x1.58) 6.316m²x3.6 kN/m²=22.74kN(Dining Room)

=6.316

Ground Floor (Live Load)


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(Tea Room)

3 1.68x1.969=3.308 3.308m²x2.0 kN/m²=6.616kN(Dining Room)

4 (2.193x1.056)+(2.531x1.58) 6.316m²x2.0 kN/m²=12.632kN(Dining Room)

=6.316

JEREMY TAY [0312228]

Beam Analysis CalculationFirst Floor Beam, A-C/1

1)Carries Self Weight – Dead Load2)Slab- Dead Load & Live Load A-C/1-2 ( One Way)


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= Beam Self Weight + Dead Load on Slab = 1.8kN/m + 2.4kN/m= 4.2kN/m


6000A C



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



Ultimate Load


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


=14.112kN/m

6000A C


6000A C


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

6000A C

42.33 kN


42.33 kN 42.34 kN

Load Diagram

Shear Force Diagram


-42.34 kN63.5 kN

Beam Analysis CalculationFirst Floor Beam, A /2-4

1)Carries Self Weight – Dead Load2)Slab- Dead Load & Live Load A-B/2-4 ( Two Way)3)Brick Wall – Dead Load



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



70002 4



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



Ultimate Load


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

70002 4


70002 4


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

70002 4

137.69 kN


137.69 kN 137.69 kN

Load Diagram

Shear Force Diagram


-137.69 kN240.96

Beam Analysis CalculationFirst Floor Beam, B-D /3


B-D/2-3 ( Two Way) B-D/3-4 ( Two Way)

3)Brick Wall – Dead Load



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


Total Deal Load= Beam Self Weight + Dead Load on Slab + Brick Wall= 1.8kN/m + 5.355kN/m+ 4.2kN/m + 10kN/m= 21.355kN/m


3500B D





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


3500B D



Total Live Load=5.151kN/m

Ultimate Load



= 29.897kN/m


= 8.242kN/m


=38.139kN/m

3500B D


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

3500B D

66.75 kN


66.75 kN 66.74 kN

Load Diagram

Shear Force Diagram


-66.74 kN58.41

Beam Analysis CalculationFirst Floor Beam, B /2-4

1. Carries Self Weight – Dead Load2. Slab- Dead Load & Live Load

A-B/2-4 ( Two Way) B-D/2-3 (Two Way) B-D/3-4 (Two Way)

3. Brick Wall – Dead Load



Dead Load on Slab A-B/2-4 ( Two Way Slab)Load is transferred to beam B/2-4 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

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/mConvert 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 LoadTotal 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 =1.8kN/m + 6.3kN/m+6.3kN/m =14.4kN/m

2 4






3

2975 4025

Live Load on Slab A-B/2-4 ( Two Way Slab)Load is transferred to beam B/2-4 in a trapezoidal form.Convert trapezoidal load into UDL.Live load from Slab A-B/2-4 = Live load on slab x ( Lx/2) = 5.0kN/m²x ( 3.5/2) = 8.75kN/m

Live Load on Slab B-D/2-3 ( Two Way Slab)Load is transferred to beam B/2-4 in a triangular form.Live load from Slab B-D/2-3 = Live load on slab x ( Lx/2) = 1.5kN/m²x ( 2.975/2) = 2.231kN/mConvert triangular load into UDL by applying factor of 2/3.Dead load =2/3 x 2.231kN/m =1.487kN/m

Live Load on Slab B-D/3-4 ( Two Way Slab)Load is transferred to beam B/2-4 in a trapezoidal form.Convert trapezoidal load into UDL.Live load from Slab B-D/3-4 = Live load on slab x ( Lx/2) = 2.5kN/m²x ( 3.5/2) = 4.375kN/m

Total Live Load

Total for 2-3 = 8.75kN/m+1.487kN/m =10.237kN/mTotal for 3-4 = 8.75kN/m+4.375kN/m =13.125kN/m

2975

2 4

Total Dead Load

3

4025

21.67kN/m 14.4kN/m

Live Load Diagram

29752 4

LL from slab A-B/2-4 = 8.75kN/m

34025

LL from slab B-D/2-3 = 1.487kN/m


Total LL = 13.125 kN/m

Ultimate Load



= 30.34kN/m


= 20.16kN/m


= 16.38kN/m


= 21kN/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

29752 43

4025

46.72kN/m 41.16kN/m

327.27kN

188.28kN

-10.3kN

-175.97kN

Load Diagram

Shear Force Diagram


Beam Analysis CalculationFirst Floor Beam, A-B /4


A-B/2-4 ( Two Way)3) Brick Wall – Dead Load



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/mConvert triangular load into UDL by applying factor of 2/3.Dead load =2/3 x 6.3kN/m =4.2kN/m



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/mConvert triangular load into UDL by applying factor of 2/3.Live load =2/3 x 8.75kN/m =5.833kN/m


3500A B



DL from slab A-B/2-4= 4.2kN/m

Total DL = 16.0kN/m


Ultimate Load



= 22.4kN/m


= 9.33kN/m


=31.73kN/m

3500A B


3500A B


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

3500A B

55.53 kN


55.53 kN 55.53 kN

Load Diagram

Shear Force Diagram


-55.53 kN48.59

Beam Analysis CalculationFirst Floor Beam, B-D /4

1)Carries Self Weight – Dead Load2)Slab- Dead Load & Live Load

B-D/3-4 ( Two Way)3)Brick Wall – Dead Load



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/mConvert triangular load into UDL by applying factor of 2/3.Dead load =2/3 x 6.3kN/m =4.2kN/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) = 2.5 kN/m² x (3.5/2) = 4.375 kN/mConvert triangular load into UDL by applying factor of 2/3.Live load =2/3 x 4.375kN/m =2.92kN/m


3500B D




Total DL = 16.0kN/m


Ultimate Load



= 22.4kN/m


= 4.672kN/m


=27.07kN/m

3500

B D


3500B 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

3500B D

47.38 kN


47.38 kN 47.37 kN

Load Diagram

Shear Force Diagram


-47.37 kN41.46

Column Analysis Calculation (Tributary Area Method)

To identify how much load would be transferred from slab to column.

First Floor (Dead Load)


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)


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)

Building Structure Project 2

Design

Transcript of Building Structure Project 2