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Building Structures (ARC 2523)
Project 2: Extension of a R.C. bungalow
Chosen Existing R.C.Building:
LOT NO. 14243,(NO. 4) JALAN SS1/34, SEKSYEN 1, 46300 SEA
PARK, PETALING JAYA, SELANGOR, DARUL EHSAN
Name: Ling Teck Ong
Student ID: 0303127
Lecturer: Mr. Adib
3D Sketchup Model of Proposal Extension:
Ling Teck Ong (0303127)
Existing Building
Proposed
Extension
Proposed
Extension
3D Sketchup Structural Model of Proposal Extension:
Proposed
Extension
Proposed
Extension
Existing Building
Ling Teck Ong (0303127)
ExtensionProposal:
GroundFloorPan(scale1:150)FirstFloorPan(scale1:150)
ExtensionProposal:
GroundFloorStructuralPan
(scale1:150)
FirstFloorStructuralPan
(scale1:150)
Extension Proposal:
Roof Structural Plan (scale 1 : 150)
Quantity Dead Loads Acting on
Structure
Ground Floor
Meditation:
Slab thickness = 150mm
Slab Self Weight = 0.15m x 24kN/m³
= 3.6 kN/m²
Gymnasium:
Slab thickness = 150mm
Slab Self Weight = 0.15m x 24kN/m³
= 3.6 kN/m²
First Floor
Cloth Fitting Room:
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
Reading Room:
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 x 0.15m x 19kN/m³
= 10kN/m
Beam Self Weight:
(Assume that initial beam size 320mm x 300mm)
= Beam Size x Concrete Density
= 0.32m x 3.0m x 24 kN/m³
=2.3kN/m
Quantity Live Loads Acting
On Structure
Ground Floor
Meditation:
2.0 kN/m²
Gymnasium:
4.0 kN/m²
First Floor
Fitting Room
2.0 kN/m²
Balcony
1.5kN/m²
Reading Room
2.5 kN/m²
(According to 4th Schedule of UBBL
for live load according to the
function of the space)
Ling Teck Ong (0303127)
Ground Floor Plan showing type of slabs
First Floor Plan showing type of slabs
(one way)
(two way)
(two way)
(two way)
(two way)
(two way)
(two way)
-Identify One Way or Two Way Slab
Indicating the distribution of load from slab to
beam
Lᵧ = Longer side of slab
Lᵪ = Shorter side of slab
When Lᵧ / Lᵪ > 2, it is an one way slab
When Lᵧ / Lᵪ < or = 2, it is a two way slab
Ground Floor
Meditation
=3000m ÷ 2900m
= 1.0 < 2 (Two way slab)
= 2400m ÷ 2300m
= 1.0 < 2 (Two way slab)
Gymnasium
3200m ÷ 2300m
=1.4 < 2 (Two way slab)
3000m ÷ 2500m
= 1.2 < 2 (Two way slab)
First Floor
Balcony
5600m ÷ 2300m
=2.4 > 2 (One way slab)
Cloth Fitting Room
=3000m ÷ 2900m
= 1.0 < 2 (Two way slab)
Reading Room
=3000m ÷ 2500m
= 1.2 < 2 (Two way slab)
Ling Teck Ong (0303127)
LoadDistributionDiagram
Toidentifyhowmuchloadwouldbetransferred
fromtheslabtoeachadjacentbeam.
GroundfloorPlanshowingloaddistributionFirstfloorPlanshowingloaddistribution
Beam Analysis Calculation
Ground Floor Beam, C/ 1-2
1) Carries self weight – Dead Load
2) Slab Dead Load & Live Load
>B-C / 1-2 (two way slab)
>C-D / 1-2 (two way slab)
3) Brick wall- Dead Load
-Beam self weight = Beam size x concrete density
= 0.32m x 0.3m x 24 kN/m³
= 2.3 kN/m
-Brick wall weight = wall height x thickness x density
= 3.4m x 0.15m x 19kN/m³
= 10kN/m
-Dead load on slab B-C / 1-2 (two way slab)
Load is transferred to beam C/ 1-2 in a trapezoidal form. Convert the trapezoidal load
into UDL
Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.3m/ 2)
= 3.6kN/m² x 1.2m
= 4.3 kN/m
-Dead load on slab C-D / 1-2 (two way slab)
Load is transferred to beam C/ 1-2 in a trapezoidal form. Convert the trapezoidal load
into UDL
Dead load from slab C-D / 1-2 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.3m/ 2)
= 3.6kN/m² x 1.2m
= 4.3 kN/m
Ling Teck Ong (0303127)
-Total Dead Load:
Total for 1-2 = 2.3kN/m + 10kN/m + 4.3kN/m + 4.3kN/m
= 20.9kN/m
-Total Dead Load Diagram:
Ling Teck Ong (0303127)
-Live load on slab B-C / 1-3 (two way slab)
Load is transferred to beam C/ 1-2 in a trapezoidal form. Convert the trapezoidal load into UDL.
Live load from slab A-B / 1-3 =Live load on slab x (Lᵪ / 2)
= 2.0kN/m² x (2.3m/ 2)
= 2.0kN/m² x 1.2m
= 2.4kN/m
-Live load on slab B-C / 1-2 (two way slab)
Load is transferred to beam C/1-2 in a trapezoidal form. Convert the trapezoidal load into UDL.
Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2)
= 4.0kN/m² x (2.3m/ 2)
= 4.0kN/m² x 1.2m
= 4.8kN/m
-Total Live Load:
Total for 1-2 = 2.4kN/m + 4.8kN/m = 7.2kN/m
-Total Live Load Diagram:
Ling Teck Ong (0303127)
-Ultimate Load:
Apply factor 1.4 & 1.6 to dead load and live load respectively.
Dead load 1-2 = 20.9kN/m x 1.4 = 29.3kN/m
Live load 1-2 = 7.2kN/m x 1.6 = 11.5kN/m
Ultimate load 1-2 = 29.3kN/m + 11.5kN/m = 40.8kN/m
-Ultimate Load Diagram
Ling Teck Ong (0303127)
Reactions:
Σ𝑀2 = 0
= 𝑅1𝑌(2.3) – 40.8(2.3)(1.15)
= 2.3 𝑅 𝐶𝑌 - 107.9
𝑅1𝑌 = 46.9kN
Σ𝐹𝑌 = 0
= 𝑅1𝑌 + 𝑅2𝑌 - 93.84
= 𝑅2𝑌 + 46.9 – 93.84
𝑅2𝑌 = 46.9kN
Load Diagram
Shear Force Diagram
Ling Teck Ong (0303127)
Bending Moment Diagram
54kN
Beam Analysis Calculation
Ground Floor Beam, 2/ B-D
1) Carries self weight – Dead Load
2) Slab Dead Load & Live Load
>B-C / 1-2 (two way slab)
>C-D / 1-2 (two way slab)
3) Brick wall- Dead Load
-Beam self weight = Beam size x concrete density
= 0.32m x 0.3m x 24 kN/m³
= 2.3 kN/m
-Brick wall weight = wall height x thickness x density
= 3.4m x 0.15m x 19kN/m³
= 10kN/m
-Dead load on slab B-C / 1-2 (two way slab)
Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal
load into UDL
Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.3m/ 2)
= 3.6kN/m² x 1.2m
= 4.3kN/m
-Dead load on slab C-D / 1-2 (two way slab)
Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal
load into UDL
Dead load from slab C-D / 1-2 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.3m/ 2)
= 3.6kN/m² x 1.2m
= 4.3kN/m
Ling Teck Ong (0303127)
-Total Dead Load
Total for B-C = 2.3kN/m + 10kN/m + 4.3kN/m
= 16.6 kN/m
Total for C-D = 2.3kN/m + 10kN/m + 4.3kN/m
= 16.6kN/m
Total Dead Load Diagram:
Ling Teck Ong (0303127)
-Live load on slab B-C/ 1-2 (two way slab)
Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal load into
UDL.
Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2)
= 2.0kN/m² x (2.3m/ 2)
= 2.0kN/m² x 1.2m
= 2.4 kN/m
-Live load on slab C-D / 1-2 (two way slab)
Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal load into
UDL.
Live load from slab C-D / 1-2 = Live load on slab x (Lᵪ / 2)
= 4.0kN/m² x (2.3m/ 2)
= 4.0kN/m² x 1.2m
= 4.8kN/m
-Total Live Load
Total for B-C = 2.4kN/m
Total for C-D = 4.8kN/m
Total Live Load Diagram:
Ling Teck Ong (0303127)
-Ultimate Load
Apply factor 1.4 & 1.6 to dead load and live load respectively.
Dead load B-C = 16.6kN/m x 1.4 = 23.24kN/m
Dead load C-D = 16.6kN/m x 1.4 = 23.24kN/m
Live load B-C = 2.4kN/m x 1.6 = 3.8kN/m
Live load C-D = 4.8kN/m x 1.6 = 7.7kN/m
Ultimate load B-C = 23.24kN/m + 3.8kN/m = 27.0kN/m
Ultimate load C-D = 23.24kN/m + 7.7kN/m = 31.0kN/m
-Ultimate Load Diagram:
Ling Teck Ong (0303127)
Reactions:
Σ𝑀 𝐵 = 0
= 𝑅 𝐷𝑌(5.6) – 31(3.2)(4) – 27(2.4)(1.2) – (46.9 x 3.2)
= 5.6 𝑅 𝐷𝑌 - 396.8 – 77.8 – 150.08
= 5.6 𝑅 𝐷𝑌 - 624.68
𝑅 𝐷𝑌 =111.55kN
Σ𝐹𝑌 = 0
= 𝑅 𝐷𝑌 + 𝑅 𝐵𝑌 - 99.2 – 64.8 – 46.9
= 𝑅 𝐵𝑌 + 111.55 – 210.9
𝑅 𝐵𝑌 = 99.35kN
Load Diagram
Shear Force Diagram
Ling Teck Ong (0303127)
Bending Moment Diagram
Beam Analysis Calculation
Ground Floor Beam, B/ 1-3
1) Carries self weight – Dead Load
2) Slab Dead Load & Live Load
>A-B / 1-3 (two way slab)
>B-C / 1-2 (two way slab)
3) Brick wall- Dead Load
-Beam self weight = Beam size x concrete density
= 0.32m x 0.3m x 24 kN/m³
= 2.3 kN/m
-Brick wall weight = wall height x thickness x density
= 3.4m x 0.15m x 19kN/m³
= 10kN/m
-Dead load on slab A-B / 1-3 (two way slab)
Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the trapezoidal load
into UDL.
Dead load from slab A-B / 1-3 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.9m/ 2)
= 3.6kN/m² x 1.45m
= 5.2kN/m
-Dead load on slab B-C / 1-2 (two way slab)
Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the trapezoidal load
into UDL.
Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.3m/ 2)
= 3.6kN/m² x 1.15m
= 4.1kN/m
Ling Teck Ong (0303127)
-Total Dead Load
Total for 1-2 = 2.3kN/m + 5.4kN/m + 4.1kN/m
= 11/6kN/m
Total for 2-3 = 2.3kN/m + 10kN/m + 5.2kN/m
= 17.5kN/m
Total Dead Load Diagram:
Ling Teck Ong (0303127)
-Live load on slab A-B / 1-3 (two way slab)
Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the
trapezoidal load into UDL.
Live load from slab A-B / 1-3 =Live load on slab x (Lᵪ / 2)
= 2.0kN/m² x (2.9m/ 2)
= 2.0kN/m² x 1.45m
= 2.9kN/m
-Live load on slab B-C / 1-2 (two way slab)
Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the
trapezoidal load into UDL.
Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2)
= 2.0kN/m² x (2.3m/ 2)
= 2.0kN/m² x 1.15m
= 2.43N/m
-Total Live Load
Total for 1-2 = 2.9kN/m + 2.3kN/m
= 5.2kN/m
Total for 2-3 = 2.9kN/m
-Total Live Load Diagram
Ling Teck Ong (0303127)
-Ultimate Load
Apply factor 1.4 & 1.6 to dead load and live load respectively.
Dead load 1-2 = 11.6kN/m x 1.4 = 16.24kN/m
Dead load 2-3 = 17.5kN/m x 1.4 = 24.5kN/m
Live load 1-2 = 5.2kN/m x 1.6 = 8.32kN/m
Live load 2-3 = 2.9kN/m x 1.6 = 4.64kN/m
Ultimate load 1-2 = 16.4kN/m + 8.32kN/m = 24.6kN/m
Ultimate load 2-3 = 24.5kN/m + 4.64kN/m = 29.14kN/m
-Ultimate Load Diagram:
Ling Teck Ong (0303127)
Reactions:
Σ𝑀3 = 0
= 𝑅1𝑌(3.0) – 24.6(2.3)(1.85) - 29.14(0.7)(0.35) – (99.35x 2.3)
= 3.0 𝑅1𝑌 - 104.7 - 7.14 – 228.51
= 3.0 𝑅1𝑌 - 340.35
𝑅1𝑌 =113.45kN
Σ𝐹𝑌 = 0
= 𝑅1𝑌 + 𝑅3𝑌 - 56.6 – 20.4 – 99.35
= 𝑅3𝑌 + 113.45 – 176.35
𝑅3𝑌 = 62.9kN
Load Diagram
Shear Force Diagram
Ling Teck Ong (0303127)
Bending Moment Diagram
Ling Teck Ong (0303127)
Beam Analysis Calculation
Ground Floor Beam, 1/ A-C
1) Carries self weight – Dead Load
2) Slab Dead Load & Live Load
>A-B / 1-3 (two way slab)
>B-C / 1-2 (two way slab)
3) Brick wall- Dead Load
-Beam self weight = Beam size x concrete density
= 0.32m x 0.3m x 24 kN/m³
= 2.3 kN/m
-Brick wall weight = wall height x thickness x density
= 3.4m x 0.15m x 19kN/m³
= 10kN/m
-Dead load on slab A-B / 1-3 (two way slab)
Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load
into UDL
Dead load from slab A-B / 1-3 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.9m/ 2)
= 3.6kN/m² x 1.45m
= 5.2kN/m
-Dead load on slab B-C / 1-2 (two way slab)
Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load
into UDL
Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.3m/ 2)
= 3.6kN/m² x 1.15m
= 4.1kN/m
Ling Teck Ong (0303127)
-Total Dead Load:
Total for A-B = 2.3kN/m + 10kN/m + 5.2kN/m
= 17.5kN/m
Total for B-C = 2.3kN/m + 10kN/m + 4.1kN/m
= 16.4kN/m
-Total Dead Load Diagram:
Ling Teck Ong (0303127)
-Live load on slab A-B / 1-3 (two way slab)
Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load into UDL.
Live load from slab A-B / 1-3 =Live load on slab x (Lᵪ / 2)
= 2.0kN/m² x (2.9m/ 2)
= 2.0kN/m² x 1.45m
= 2.9kN/m
-Live load on slab B-C / 1-2 (two way slab)
Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load into UDL.
Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2)
= 2.0kN/m² x (2.3m/ 2)
= 2.0kN/m² x 1.15m
= 2.3kN/m
-Total Live Load:
Total for A-B = 2.9kN/m
Total for B-C =2.3kN/m
-Total Live Load Diagram:
Ling Teck Ong (0303127)
-Ultimate Load:
Apply factor 1.4 & 1.6 to dead load and live load respectively.
Dead load A-B = 17.5kN/m x 1.4 = 24.5kN/m
Dead load B-C = 16.4kN/m x 1.4 = 22.96kN/m
Live load A-B = 2.9kN/m x 1.6 = 4.64kN/m
Live load B-C = 2.3kN/m x 1.6 = 3.68kN/m
Ultimate load A-B = 24.5kN/m + 4.64kN/m = 29.14kN/m
Ultimate load B-C = 22.96kN/m+3.68kN/m = 26.64kN/m
-Ultimate Load Diagram
Reactions:
Σ𝑀𝐴 = 0
= 𝑅 𝐶𝑌(5.3) – 26.64(2.4)(4.1)– 29.14(2.9)(1.45) – (113.45 x 2.4)
= 5.3 𝑅 𝐶𝑌 - 262.14 – 22.53 – 272.3
= 5.3 𝑅 𝐶𝑌 - 556.97
𝑅 𝐶𝑌 = 105.1kN
Σ𝐹𝑌 = 0
= 𝑅 𝐶𝑌 + 𝑅 𝐴𝑌 - 63.9 – 84.5 – 113.45
= 𝑅 𝐴𝑌 + 105.1 – 261.85
𝑅 𝐴𝑌 = 156.75kN
Load Diagram
Shear Force Diagram
Bending Moment Diagram
Ling Teck Ong (0303127)
Beam Analysis Calculation
First Floor Beam, 2/ B-C
1) Carries self weight – Dead Load
2) Slab Dead Load & Live Load
>B-C / 1-2 (one way slab)
3) Brick wall- Dead Load
-Beam self weight = Beam size x concrete density
= 0.32m x 0.3m x 24 kN/m³
= 2.3 kN/m
-Brick wall weight = wall height x thickness x density
= 3.4m x 0.15m x 19kN/m³
= 10kN/m
-Dead load on slab B-C / 1-2 (one way slab)
Load is transferred to beam 2/ B-C in an UDL form.
Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2)
= 2.4kN/m² x (2.3m/ 2)
= 2.4kN/m² x 1.15m
= 2.8kN/m
-Total Dead Load
Total for B-C = 2.3kN/m + 10kN/m + 2.8kN/m
= 15.1kN/m
-Total Dead load Diagram
Ling Teck Ong (0303127)
-Live load on slab B-C / 1-2 (one way slab)
Load is transferred to beam 2 / B-C in an UDL form.
Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2)
= 1.5kN/m² x (2.3m/ 2)
= 1.5kN/m² x 1.15m
= 1.7kN/m
-Total Live Load
Total for B-C = 1.7kN/m
Total Live Load Diagram:
Ling Teck Ong (0303127)
-Ultimate Load
Apply factor 1.4 & 1.6 to dead load and live load respectively.
Dead load B-C = 15.1kN/m x 1.4 = 21.14kN/m
Live load B-C = 1.7kN/m x 1.6 = 2.72kN/m
Ultimate load B-C = 21.14kN/m + 2.72kN/m = 23.86kN/m
-Ultimate Load Diagram:
Ling Teck Ong (0303127)
Reactions:
Σ𝑀 𝐵 = 0
= 𝑅 𝐶𝑌(5.6) – 23.86(5.6)(2.8)
= 5.6 𝑅 𝐶𝑌 - 374.12
𝑅 𝐶𝑌 =66.81kN
Σ𝐹𝑌 = 0
= 𝑅 𝐶𝑌 + 𝑅 𝐵𝑌 - 133.62
= 𝑅 𝐵𝑌 + 66.81 – 133.62
𝑅 𝐵𝑌 = 66.81kN
Load Diagram
Shear Force Diagram
Bending Moment Diagram
Ling Teck Ong (0303127)
187.1kN
Beam Analysis Calculation
First Floor Beam, C/ 1-3
1) Carries self weight – Dead Load
2) Slab Dead Load & Live Load
>B-C / 1-2 (one way slab)
>C-D / 1-3 (two way slab)
3) Brick wall- Dead Load
-Beam self weight = Beam size x concrete density
= 0.32m x 0.3m x 24kN/m³
= 2.3kN/m
-Brick wall weight = wall height x thickness x density
= 3.4m x 0.15m x 19kN/m³
= 10kN/m
-Dead load on slab B-C / 1-2 (one way slab)
Load is transferred to beam C/ 1-3 in an UDL form.
Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2)
= 2.4kN/m² x (2.3m/ 2)
= 2.4kN/m² x 1.15m
= 2.8kN/m
-Dead load on slab C-D / 1-3 (two way slab)
Load is transferred to beam C/ 1-3 in a trapezoidal form. Convert the trapezoidal load
into UDL
Dead load from slab C-D / 1-3 = Dead load on slab x (Lᵪ / 2)
= 3.6kN/m² x (2.5m/ 2)
= 3.6kN/m² x 1.25m
= 4.5kN/m
Ling Teck Ong (0303127)
-Total Dead Load
Total for 1-2 = 2.3kN/m + 10kN/m + 2.8kN/m + 4.5kN/m
= 19.6kN/m
Total for 2-3 = 2.3kN/m + 10kN/m + 4.5kN/m
= 16.8kN/m
-Total Dead Load Diagram:
Ling Teck Ong (0303127)
-Live load on slab B-C / 1-2 (one way slab)
Load is transferred to beam C / 1-3 in an UDL form.
Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2)
= 1.5kN/m² x (2.3m/ 2)
= 1.5kN/m² x 1.15m
= 1.7kN/m
-Live load on slab C-D / 1-3 (two way slab)
Load is transferred to beam C / 1-3 in a trapezoidal form. Convert the trapezoidal
load into UDL.
Live load from slab C-D / 1-3 = Live load on slab x (Lᵪ / 2)
= 2.5kN/m² x (2.3m/ 2)
= 2.5kN/m² x 1.25m
= 3.13kN/m
-Total Live Load
Total for 1-2 = 1.7kN/m + 3.13kN/m
= 4.83kN/m
Total for 2-3 = 3.13kN/m
-Total Live Load Diagram:
Ling Teck Ong (0303127)
-Ultimate Load
Apply factor 1.4 & 1.6 to dead load and live load respectively.
Dead load 1-2 = 19.6kN/m x 1.4 = 27.44kN/m
Dead load 2-3 = 16.8kN/m x 1.4 = 23.52kN/m
Live load 1-2 = 4.83kN/m x 1.6 = 7.73kN/m
Live load 2-3 = 3.13kN/m x 1.6 = 5.0kN/m
Ultimate load 1-2 = 27.44kN/m + 7.73kN/m = 35.17kN/m
Ultimate load 2-3 =23.52kN/m + 5.0kN/m = 28.52kN/m
-Ultimate Load Diagram:
Ling Teck Ong (0303127)
Reactions:
Σ𝑀3 = 0
= 𝑅1𝑌(3) – 35.17(2.3)(1.85) – 28.52(0.7)(0.35) – (66.81 x 2.3)
= 3 𝑅1𝑌 - 149.65 - 7 – 153.7
= 3 𝑅1𝑌 - 310.35
𝑅1𝑌 =103.45kN
Σ𝐹𝑌 = 0
= 𝑅1𝑌 + 𝑅3𝑌 - 80.9 – 19.96 – 66.81
= 𝑅3𝑌 + 103.45 – 167.7
𝑅3𝑌 = 64.26kN
Load Diagram:
Shear Force Diagram:
Ling Teck Ong (0303127)
Bending Moment Diagram:
LoadDistributionDiagram
Indicatingthedistributionofloadfromslabtocolumnbyusingtributaryareamethod
GroundFloorPlanshowingdistributionof
loadfromslabtocolumn
LoadDistributionDiagram
Indicatingthedistributionofloadfromslabtocolumnbyusingtributaryareamethod
FirstFloorPlanshowingdistributionofload
fromslabtocolumn
Column Analysis Calculation (Tributary Area Method)
To identify how much load would be transferred from slab to column
First Floor
Column Area Load
2C A/1 1.5m x 5.5m = 8.3m² 8.3m² X 2.0kN/m² = 16.6kN (for Fitting Room)
2C A/3 1.5m x 1.45m = 2.2m² 2.2m² X 2.0kN/m² = 4.4kN (for Fitting Room)
2C B/3 1.5m x 1.45m = 2.2m² 2.2m² X 2.0kN/m² = 4.4kN (for Fitting Room)
2C D/1 1.5m x 5.5m = 8.3m² 8.3m² X 1.5kN/m² = 12.5kN (for Balcony)
2C C/3 1.25m x 1.5m = 1.9m² 1.9m² X 2.0kN/m² = 3.8kN (for Reading Room)
2C D/3 1.25m x 1.5m = 1.9m² 1.9m² X 2.0kN/m² = 3.8kN (for Reading Room)
Column Area Load
1C A/1 2.65m x 1.5m = 4m² 4m² X 2.0kN/m² = 8kN (for Meditation)
8kN + 16.6kN = 24.6kN
1C A/3 1.5m x 1.45m = 2.2m² 2.2m² X 2.0kN/m² = 4.4kN (for Meditation)
4.4kN + 4.4kN = 8.8kN
1C B/3 (1.5m x 1.45m) + (2.8m x
0.8m) = 4.4m²
4.4m² X 2.0kN/m² = 8.8kN (for Meditation)
8.8kN + 4.4kN = 13.2kN
1C C/1 2.8m x 1.5m = 4.2m² 4.2m² X 4.0kN/m² = 16.8kN (for Gymnasium)
1C E/1 2.85m x 1.5m = 4.3m² 4.3m² X 4.0kN/m² = 17.2kN (for Gymnasium)
17.2kN + 12.5kN = 29.7kN
1C D/3 (1.25m x 1.5m) + (2.8m x
0.8m)= 4.1m²
4.1m² X 4.0kN/m² = 16.4kN (for Gymnasium)
16.4kN + 3.8kN = 20.2kN
1C E/3 1.25m x 1.5m = 1.9m² 1.9m² X 4.0kN/m² = 7.6kN (for Gymnasium)
7.6kN + 3.8kN = 11.4kN
Ground Floor
Ling Teck Ong (0303127)
Planindicatingloadtransferfromslabtocolumn
FirstFloorPlanGroundFloorPlan
REFERENCES:
Adib, M.R. (2014). Lecture Slides: Beams Part 2. Retrieved 11 June from
https://times.taylors.edu.my/pluginfile.php/1521481/mod_resource/content/1/
Beams%20Part%202.pdf
Ann S.P. (2014). Part 1: Frame It Up. Retrieved 11 June from
http://www.powtoon.com/p/euyoG1UdTcD/
Ann S.P. (2014). Part 2: Quantify Loads. Retrieved 11 June from
http://www.powtoon.com/p/dyVdvydgVOY/
Ann S.P. (2014). Part 3: Distributing Load from Slab to Beam. Retrieved 11 June
from http://www.powtoon.com/p/eQ0DDLd4PWg/
Ann S.P. (2014). Part 4: Load Diagram from Beam. Retrieved 12 June from
http://www.powtoon.com/p/foCn6KNsJx1/
MCD Legal Advisers. (2006). Uniform Buildings By-Laws. Malaysia: MCD
Publishers. Retrieved 13June from
http://www.scribd.com/doc/30457115/13282147-Uniform-Building-by-Laws

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  • 1. Building Structures (ARC 2523) Project 2: Extension of a R.C. bungalow Chosen Existing R.C.Building: LOT NO. 14243,(NO. 4) JALAN SS1/34, SEKSYEN 1, 46300 SEA PARK, PETALING JAYA, SELANGOR, DARUL EHSAN Name: Ling Teck Ong Student ID: 0303127 Lecturer: Mr. Adib
  • 2. 3D Sketchup Model of Proposal Extension: Ling Teck Ong (0303127) Existing Building Proposed Extension Proposed Extension
  • 3. 3D Sketchup Structural Model of Proposal Extension: Proposed Extension Proposed Extension Existing Building Ling Teck Ong (0303127)
  • 6. Extension Proposal: Roof Structural Plan (scale 1 : 150)
  • 7. Quantity Dead Loads Acting on Structure Ground Floor Meditation: Slab thickness = 150mm Slab Self Weight = 0.15m x 24kN/m³ = 3.6 kN/m² Gymnasium: Slab thickness = 150mm Slab Self Weight = 0.15m x 24kN/m³ = 3.6 kN/m² First Floor Cloth Fitting Room: 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 Reading Room: 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 x 0.15m x 19kN/m³ = 10kN/m Beam Self Weight: (Assume that initial beam size 320mm x 300mm) = Beam Size x Concrete Density = 0.32m x 3.0m x 24 kN/m³ =2.3kN/m Quantity Live Loads Acting On Structure Ground Floor Meditation: 2.0 kN/m² Gymnasium: 4.0 kN/m² First Floor Fitting Room 2.0 kN/m² Balcony 1.5kN/m² Reading Room 2.5 kN/m² (According to 4th Schedule of UBBL for live load according to the function of the space) Ling Teck Ong (0303127)
  • 8. Ground Floor Plan showing type of slabs First Floor Plan showing type of slabs (one way) (two way) (two way) (two way) (two way) (two way) (two way) -Identify One Way or Two Way Slab Indicating the distribution of load from slab to beam Lᵧ = Longer side of slab Lᵪ = Shorter side of slab When Lᵧ / Lᵪ > 2, it is an one way slab When Lᵧ / Lᵪ < or = 2, it is a two way slab Ground Floor Meditation =3000m ÷ 2900m = 1.0 < 2 (Two way slab) = 2400m ÷ 2300m = 1.0 < 2 (Two way slab) Gymnasium 3200m ÷ 2300m =1.4 < 2 (Two way slab) 3000m ÷ 2500m = 1.2 < 2 (Two way slab) First Floor Balcony 5600m ÷ 2300m =2.4 > 2 (One way slab) Cloth Fitting Room =3000m ÷ 2900m = 1.0 < 2 (Two way slab) Reading Room =3000m ÷ 2500m = 1.2 < 2 (Two way slab) Ling Teck Ong (0303127)
  • 10. Beam Analysis Calculation Ground Floor Beam, C/ 1-2 1) Carries self weight – Dead Load 2) Slab Dead Load & Live Load >B-C / 1-2 (two way slab) >C-D / 1-2 (two way slab) 3) Brick wall- Dead Load -Beam self weight = Beam size x concrete density = 0.32m x 0.3m x 24 kN/m³ = 2.3 kN/m -Brick wall weight = wall height x thickness x density = 3.4m x 0.15m x 19kN/m³ = 10kN/m -Dead load on slab B-C / 1-2 (two way slab) Load is transferred to beam C/ 1-2 in a trapezoidal form. Convert the trapezoidal load into UDL Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.3m/ 2) = 3.6kN/m² x 1.2m = 4.3 kN/m -Dead load on slab C-D / 1-2 (two way slab) Load is transferred to beam C/ 1-2 in a trapezoidal form. Convert the trapezoidal load into UDL Dead load from slab C-D / 1-2 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.3m/ 2) = 3.6kN/m² x 1.2m = 4.3 kN/m Ling Teck Ong (0303127)
  • 11. -Total Dead Load: Total for 1-2 = 2.3kN/m + 10kN/m + 4.3kN/m + 4.3kN/m = 20.9kN/m -Total Dead Load Diagram: Ling Teck Ong (0303127)
  • 12. -Live load on slab B-C / 1-3 (two way slab) Load is transferred to beam C/ 1-2 in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab A-B / 1-3 =Live load on slab x (Lᵪ / 2) = 2.0kN/m² x (2.3m/ 2) = 2.0kN/m² x 1.2m = 2.4kN/m -Live load on slab B-C / 1-2 (two way slab) Load is transferred to beam C/1-2 in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2) = 4.0kN/m² x (2.3m/ 2) = 4.0kN/m² x 1.2m = 4.8kN/m -Total Live Load: Total for 1-2 = 2.4kN/m + 4.8kN/m = 7.2kN/m -Total Live Load Diagram: Ling Teck Ong (0303127)
  • 13. -Ultimate Load: Apply factor 1.4 & 1.6 to dead load and live load respectively. Dead load 1-2 = 20.9kN/m x 1.4 = 29.3kN/m Live load 1-2 = 7.2kN/m x 1.6 = 11.5kN/m Ultimate load 1-2 = 29.3kN/m + 11.5kN/m = 40.8kN/m -Ultimate Load Diagram Ling Teck Ong (0303127)
  • 14. Reactions: Σ𝑀2 = 0 = 𝑅1𝑌(2.3) – 40.8(2.3)(1.15) = 2.3 𝑅 𝐶𝑌 - 107.9 𝑅1𝑌 = 46.9kN Σ𝐹𝑌 = 0 = 𝑅1𝑌 + 𝑅2𝑌 - 93.84 = 𝑅2𝑌 + 46.9 – 93.84 𝑅2𝑌 = 46.9kN Load Diagram Shear Force Diagram Ling Teck Ong (0303127) Bending Moment Diagram 54kN
  • 15. Beam Analysis Calculation Ground Floor Beam, 2/ B-D 1) Carries self weight – Dead Load 2) Slab Dead Load & Live Load >B-C / 1-2 (two way slab) >C-D / 1-2 (two way slab) 3) Brick wall- Dead Load -Beam self weight = Beam size x concrete density = 0.32m x 0.3m x 24 kN/m³ = 2.3 kN/m -Brick wall weight = wall height x thickness x density = 3.4m x 0.15m x 19kN/m³ = 10kN/m -Dead load on slab B-C / 1-2 (two way slab) Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal load into UDL Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.3m/ 2) = 3.6kN/m² x 1.2m = 4.3kN/m -Dead load on slab C-D / 1-2 (two way slab) Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal load into UDL Dead load from slab C-D / 1-2 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.3m/ 2) = 3.6kN/m² x 1.2m = 4.3kN/m Ling Teck Ong (0303127)
  • 16. -Total Dead Load Total for B-C = 2.3kN/m + 10kN/m + 4.3kN/m = 16.6 kN/m Total for C-D = 2.3kN/m + 10kN/m + 4.3kN/m = 16.6kN/m Total Dead Load Diagram: Ling Teck Ong (0303127)
  • 17. -Live load on slab B-C/ 1-2 (two way slab) Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2) = 2.0kN/m² x (2.3m/ 2) = 2.0kN/m² x 1.2m = 2.4 kN/m -Live load on slab C-D / 1-2 (two way slab) Load is transferred to beam 2/ B-D in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab C-D / 1-2 = Live load on slab x (Lᵪ / 2) = 4.0kN/m² x (2.3m/ 2) = 4.0kN/m² x 1.2m = 4.8kN/m -Total Live Load Total for B-C = 2.4kN/m Total for C-D = 4.8kN/m Total Live Load Diagram: Ling Teck Ong (0303127)
  • 18. -Ultimate Load Apply factor 1.4 & 1.6 to dead load and live load respectively. Dead load B-C = 16.6kN/m x 1.4 = 23.24kN/m Dead load C-D = 16.6kN/m x 1.4 = 23.24kN/m Live load B-C = 2.4kN/m x 1.6 = 3.8kN/m Live load C-D = 4.8kN/m x 1.6 = 7.7kN/m Ultimate load B-C = 23.24kN/m + 3.8kN/m = 27.0kN/m Ultimate load C-D = 23.24kN/m + 7.7kN/m = 31.0kN/m -Ultimate Load Diagram: Ling Teck Ong (0303127)
  • 19. Reactions: Σ𝑀 𝐵 = 0 = 𝑅 𝐷𝑌(5.6) – 31(3.2)(4) – 27(2.4)(1.2) – (46.9 x 3.2) = 5.6 𝑅 𝐷𝑌 - 396.8 – 77.8 – 150.08 = 5.6 𝑅 𝐷𝑌 - 624.68 𝑅 𝐷𝑌 =111.55kN Σ𝐹𝑌 = 0 = 𝑅 𝐷𝑌 + 𝑅 𝐵𝑌 - 99.2 – 64.8 – 46.9 = 𝑅 𝐵𝑌 + 111.55 – 210.9 𝑅 𝐵𝑌 = 99.35kN Load Diagram Shear Force Diagram Ling Teck Ong (0303127) Bending Moment Diagram
  • 20. Beam Analysis Calculation Ground Floor Beam, B/ 1-3 1) Carries self weight – Dead Load 2) Slab Dead Load & Live Load >A-B / 1-3 (two way slab) >B-C / 1-2 (two way slab) 3) Brick wall- Dead Load -Beam self weight = Beam size x concrete density = 0.32m x 0.3m x 24 kN/m³ = 2.3 kN/m -Brick wall weight = wall height x thickness x density = 3.4m x 0.15m x 19kN/m³ = 10kN/m -Dead load on slab A-B / 1-3 (two way slab) Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the trapezoidal load into UDL. Dead load from slab A-B / 1-3 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.9m/ 2) = 3.6kN/m² x 1.45m = 5.2kN/m -Dead load on slab B-C / 1-2 (two way slab) Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the trapezoidal load into UDL. Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.3m/ 2) = 3.6kN/m² x 1.15m = 4.1kN/m Ling Teck Ong (0303127)
  • 21. -Total Dead Load Total for 1-2 = 2.3kN/m + 5.4kN/m + 4.1kN/m = 11/6kN/m Total for 2-3 = 2.3kN/m + 10kN/m + 5.2kN/m = 17.5kN/m Total Dead Load Diagram: Ling Teck Ong (0303127)
  • 22. -Live load on slab A-B / 1-3 (two way slab) Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab A-B / 1-3 =Live load on slab x (Lᵪ / 2) = 2.0kN/m² x (2.9m/ 2) = 2.0kN/m² x 1.45m = 2.9kN/m -Live load on slab B-C / 1-2 (two way slab) Load is transferred to beam B/ 1-3 in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2) = 2.0kN/m² x (2.3m/ 2) = 2.0kN/m² x 1.15m = 2.43N/m -Total Live Load Total for 1-2 = 2.9kN/m + 2.3kN/m = 5.2kN/m Total for 2-3 = 2.9kN/m -Total Live Load Diagram Ling Teck Ong (0303127)
  • 23. -Ultimate Load Apply factor 1.4 & 1.6 to dead load and live load respectively. Dead load 1-2 = 11.6kN/m x 1.4 = 16.24kN/m Dead load 2-3 = 17.5kN/m x 1.4 = 24.5kN/m Live load 1-2 = 5.2kN/m x 1.6 = 8.32kN/m Live load 2-3 = 2.9kN/m x 1.6 = 4.64kN/m Ultimate load 1-2 = 16.4kN/m + 8.32kN/m = 24.6kN/m Ultimate load 2-3 = 24.5kN/m + 4.64kN/m = 29.14kN/m -Ultimate Load Diagram: Ling Teck Ong (0303127)
  • 24. Reactions: Σ𝑀3 = 0 = 𝑅1𝑌(3.0) – 24.6(2.3)(1.85) - 29.14(0.7)(0.35) – (99.35x 2.3) = 3.0 𝑅1𝑌 - 104.7 - 7.14 – 228.51 = 3.0 𝑅1𝑌 - 340.35 𝑅1𝑌 =113.45kN Σ𝐹𝑌 = 0 = 𝑅1𝑌 + 𝑅3𝑌 - 56.6 – 20.4 – 99.35 = 𝑅3𝑌 + 113.45 – 176.35 𝑅3𝑌 = 62.9kN Load Diagram Shear Force Diagram Ling Teck Ong (0303127) Bending Moment Diagram
  • 25. Ling Teck Ong (0303127) Beam Analysis Calculation Ground Floor Beam, 1/ A-C 1) Carries self weight – Dead Load 2) Slab Dead Load & Live Load >A-B / 1-3 (two way slab) >B-C / 1-2 (two way slab) 3) Brick wall- Dead Load -Beam self weight = Beam size x concrete density = 0.32m x 0.3m x 24 kN/m³ = 2.3 kN/m -Brick wall weight = wall height x thickness x density = 3.4m x 0.15m x 19kN/m³ = 10kN/m -Dead load on slab A-B / 1-3 (two way slab) Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load into UDL Dead load from slab A-B / 1-3 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.9m/ 2) = 3.6kN/m² x 1.45m = 5.2kN/m -Dead load on slab B-C / 1-2 (two way slab) Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load into UDL Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.3m/ 2) = 3.6kN/m² x 1.15m = 4.1kN/m
  • 26. Ling Teck Ong (0303127) -Total Dead Load: Total for A-B = 2.3kN/m + 10kN/m + 5.2kN/m = 17.5kN/m Total for B-C = 2.3kN/m + 10kN/m + 4.1kN/m = 16.4kN/m -Total Dead Load Diagram:
  • 27. Ling Teck Ong (0303127) -Live load on slab A-B / 1-3 (two way slab) Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab A-B / 1-3 =Live load on slab x (Lᵪ / 2) = 2.0kN/m² x (2.9m/ 2) = 2.0kN/m² x 1.45m = 2.9kN/m -Live load on slab B-C / 1-2 (two way slab) Load is transferred to beam 1/ A-C in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2) = 2.0kN/m² x (2.3m/ 2) = 2.0kN/m² x 1.15m = 2.3kN/m -Total Live Load: Total for A-B = 2.9kN/m Total for B-C =2.3kN/m -Total Live Load Diagram:
  • 28. Ling Teck Ong (0303127) -Ultimate Load: Apply factor 1.4 & 1.6 to dead load and live load respectively. Dead load A-B = 17.5kN/m x 1.4 = 24.5kN/m Dead load B-C = 16.4kN/m x 1.4 = 22.96kN/m Live load A-B = 2.9kN/m x 1.6 = 4.64kN/m Live load B-C = 2.3kN/m x 1.6 = 3.68kN/m Ultimate load A-B = 24.5kN/m + 4.64kN/m = 29.14kN/m Ultimate load B-C = 22.96kN/m+3.68kN/m = 26.64kN/m -Ultimate Load Diagram
  • 29. Reactions: Σ𝑀𝐴 = 0 = 𝑅 𝐶𝑌(5.3) – 26.64(2.4)(4.1)– 29.14(2.9)(1.45) – (113.45 x 2.4) = 5.3 𝑅 𝐶𝑌 - 262.14 – 22.53 – 272.3 = 5.3 𝑅 𝐶𝑌 - 556.97 𝑅 𝐶𝑌 = 105.1kN Σ𝐹𝑌 = 0 = 𝑅 𝐶𝑌 + 𝑅 𝐴𝑌 - 63.9 – 84.5 – 113.45 = 𝑅 𝐴𝑌 + 105.1 – 261.85 𝑅 𝐴𝑌 = 156.75kN Load Diagram Shear Force Diagram Bending Moment Diagram Ling Teck Ong (0303127)
  • 30. Beam Analysis Calculation First Floor Beam, 2/ B-C 1) Carries self weight – Dead Load 2) Slab Dead Load & Live Load >B-C / 1-2 (one way slab) 3) Brick wall- Dead Load -Beam self weight = Beam size x concrete density = 0.32m x 0.3m x 24 kN/m³ = 2.3 kN/m -Brick wall weight = wall height x thickness x density = 3.4m x 0.15m x 19kN/m³ = 10kN/m -Dead load on slab B-C / 1-2 (one way slab) Load is transferred to beam 2/ B-C in an UDL form. Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2) = 2.4kN/m² x (2.3m/ 2) = 2.4kN/m² x 1.15m = 2.8kN/m -Total Dead Load Total for B-C = 2.3kN/m + 10kN/m + 2.8kN/m = 15.1kN/m -Total Dead load Diagram Ling Teck Ong (0303127)
  • 31. -Live load on slab B-C / 1-2 (one way slab) Load is transferred to beam 2 / B-C in an UDL form. Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2) = 1.5kN/m² x (2.3m/ 2) = 1.5kN/m² x 1.15m = 1.7kN/m -Total Live Load Total for B-C = 1.7kN/m Total Live Load Diagram: Ling Teck Ong (0303127)
  • 32. -Ultimate Load Apply factor 1.4 & 1.6 to dead load and live load respectively. Dead load B-C = 15.1kN/m x 1.4 = 21.14kN/m Live load B-C = 1.7kN/m x 1.6 = 2.72kN/m Ultimate load B-C = 21.14kN/m + 2.72kN/m = 23.86kN/m -Ultimate Load Diagram: Ling Teck Ong (0303127)
  • 33. Reactions: Σ𝑀 𝐵 = 0 = 𝑅 𝐶𝑌(5.6) – 23.86(5.6)(2.8) = 5.6 𝑅 𝐶𝑌 - 374.12 𝑅 𝐶𝑌 =66.81kN Σ𝐹𝑌 = 0 = 𝑅 𝐶𝑌 + 𝑅 𝐵𝑌 - 133.62 = 𝑅 𝐵𝑌 + 66.81 – 133.62 𝑅 𝐵𝑌 = 66.81kN Load Diagram Shear Force Diagram Bending Moment Diagram Ling Teck Ong (0303127) 187.1kN
  • 34. Beam Analysis Calculation First Floor Beam, C/ 1-3 1) Carries self weight – Dead Load 2) Slab Dead Load & Live Load >B-C / 1-2 (one way slab) >C-D / 1-3 (two way slab) 3) Brick wall- Dead Load -Beam self weight = Beam size x concrete density = 0.32m x 0.3m x 24kN/m³ = 2.3kN/m -Brick wall weight = wall height x thickness x density = 3.4m x 0.15m x 19kN/m³ = 10kN/m -Dead load on slab B-C / 1-2 (one way slab) Load is transferred to beam C/ 1-3 in an UDL form. Dead load from slab B-C / 1-2 = Dead load on slab x (Lᵪ / 2) = 2.4kN/m² x (2.3m/ 2) = 2.4kN/m² x 1.15m = 2.8kN/m -Dead load on slab C-D / 1-3 (two way slab) Load is transferred to beam C/ 1-3 in a trapezoidal form. Convert the trapezoidal load into UDL Dead load from slab C-D / 1-3 = Dead load on slab x (Lᵪ / 2) = 3.6kN/m² x (2.5m/ 2) = 3.6kN/m² x 1.25m = 4.5kN/m Ling Teck Ong (0303127)
  • 35. -Total Dead Load Total for 1-2 = 2.3kN/m + 10kN/m + 2.8kN/m + 4.5kN/m = 19.6kN/m Total for 2-3 = 2.3kN/m + 10kN/m + 4.5kN/m = 16.8kN/m -Total Dead Load Diagram: Ling Teck Ong (0303127)
  • 36. -Live load on slab B-C / 1-2 (one way slab) Load is transferred to beam C / 1-3 in an UDL form. Live load from slab B-C / 1-2 = Live load on slab x (Lᵪ / 2) = 1.5kN/m² x (2.3m/ 2) = 1.5kN/m² x 1.15m = 1.7kN/m -Live load on slab C-D / 1-3 (two way slab) Load is transferred to beam C / 1-3 in a trapezoidal form. Convert the trapezoidal load into UDL. Live load from slab C-D / 1-3 = Live load on slab x (Lᵪ / 2) = 2.5kN/m² x (2.3m/ 2) = 2.5kN/m² x 1.25m = 3.13kN/m -Total Live Load Total for 1-2 = 1.7kN/m + 3.13kN/m = 4.83kN/m Total for 2-3 = 3.13kN/m -Total Live Load Diagram: Ling Teck Ong (0303127)
  • 37. -Ultimate Load Apply factor 1.4 & 1.6 to dead load and live load respectively. Dead load 1-2 = 19.6kN/m x 1.4 = 27.44kN/m Dead load 2-3 = 16.8kN/m x 1.4 = 23.52kN/m Live load 1-2 = 4.83kN/m x 1.6 = 7.73kN/m Live load 2-3 = 3.13kN/m x 1.6 = 5.0kN/m Ultimate load 1-2 = 27.44kN/m + 7.73kN/m = 35.17kN/m Ultimate load 2-3 =23.52kN/m + 5.0kN/m = 28.52kN/m -Ultimate Load Diagram: Ling Teck Ong (0303127)
  • 38. Reactions: Σ𝑀3 = 0 = 𝑅1𝑌(3) – 35.17(2.3)(1.85) – 28.52(0.7)(0.35) – (66.81 x 2.3) = 3 𝑅1𝑌 - 149.65 - 7 – 153.7 = 3 𝑅1𝑌 - 310.35 𝑅1𝑌 =103.45kN Σ𝐹𝑌 = 0 = 𝑅1𝑌 + 𝑅3𝑌 - 80.9 – 19.96 – 66.81 = 𝑅3𝑌 + 103.45 – 167.7 𝑅3𝑌 = 64.26kN Load Diagram: Shear Force Diagram: Ling Teck Ong (0303127) Bending Moment Diagram:
  • 41. Column Analysis Calculation (Tributary Area Method) To identify how much load would be transferred from slab to column First Floor Column Area Load 2C A/1 1.5m x 5.5m = 8.3m² 8.3m² X 2.0kN/m² = 16.6kN (for Fitting Room) 2C A/3 1.5m x 1.45m = 2.2m² 2.2m² X 2.0kN/m² = 4.4kN (for Fitting Room) 2C B/3 1.5m x 1.45m = 2.2m² 2.2m² X 2.0kN/m² = 4.4kN (for Fitting Room) 2C D/1 1.5m x 5.5m = 8.3m² 8.3m² X 1.5kN/m² = 12.5kN (for Balcony) 2C C/3 1.25m x 1.5m = 1.9m² 1.9m² X 2.0kN/m² = 3.8kN (for Reading Room) 2C D/3 1.25m x 1.5m = 1.9m² 1.9m² X 2.0kN/m² = 3.8kN (for Reading Room) Column Area Load 1C A/1 2.65m x 1.5m = 4m² 4m² X 2.0kN/m² = 8kN (for Meditation) 8kN + 16.6kN = 24.6kN 1C A/3 1.5m x 1.45m = 2.2m² 2.2m² X 2.0kN/m² = 4.4kN (for Meditation) 4.4kN + 4.4kN = 8.8kN 1C B/3 (1.5m x 1.45m) + (2.8m x 0.8m) = 4.4m² 4.4m² X 2.0kN/m² = 8.8kN (for Meditation) 8.8kN + 4.4kN = 13.2kN 1C C/1 2.8m x 1.5m = 4.2m² 4.2m² X 4.0kN/m² = 16.8kN (for Gymnasium) 1C E/1 2.85m x 1.5m = 4.3m² 4.3m² X 4.0kN/m² = 17.2kN (for Gymnasium) 17.2kN + 12.5kN = 29.7kN 1C D/3 (1.25m x 1.5m) + (2.8m x 0.8m)= 4.1m² 4.1m² X 4.0kN/m² = 16.4kN (for Gymnasium) 16.4kN + 3.8kN = 20.2kN 1C E/3 1.25m x 1.5m = 1.9m² 1.9m² X 4.0kN/m² = 7.6kN (for Gymnasium) 7.6kN + 3.8kN = 11.4kN Ground Floor Ling Teck Ong (0303127)
  • 43. REFERENCES: Adib, M.R. (2014). Lecture Slides: Beams Part 2. Retrieved 11 June from https://times.taylors.edu.my/pluginfile.php/1521481/mod_resource/content/1/ Beams%20Part%202.pdf Ann S.P. (2014). Part 1: Frame It Up. Retrieved 11 June from http://www.powtoon.com/p/euyoG1UdTcD/ Ann S.P. (2014). Part 2: Quantify Loads. Retrieved 11 June from http://www.powtoon.com/p/dyVdvydgVOY/ Ann S.P. (2014). Part 3: Distributing Load from Slab to Beam. Retrieved 11 June from http://www.powtoon.com/p/eQ0DDLd4PWg/ Ann S.P. (2014). Part 4: Load Diagram from Beam. Retrieved 12 June from http://www.powtoon.com/p/foCn6KNsJx1/ MCD Legal Advisers. (2006). Uniform Buildings By-Laws. Malaysia: MCD Publishers. Retrieved 13June from http://www.scribd.com/doc/30457115/13282147-Uniform-Building-by-Laws