BUILDING STRUCTURES [ARC 2522] [ARC 2523] PROJECT 2: Extension of a R.C. Structure
Chosen Existing R.C. Building: No. 2, Jalan USJ 2/6G, UEP Subang Jaya, Mukim Damansara, Daerah Petaling, Selangor Darul Ehsan
Name: Andrew Chee Kiong Chee Man Shing Student ID: 0316202 Tutor: Ms Ann See Peng
Building Structures [ARC 2522] [ARC 2523]
Extension Proposal Ground Floor Extension
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Building Structures [ARC 2522] [ARC 2523]
First Floor Extension
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Building Structures [ARC 2522] [ARC 2523]
Roof Level Extension
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Building Structures [ARC 2522] [ARC 2523] Ground Level Structural Floor Plan
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Building Structures [ARC 2522] [ARC 2523] Ground Floor Level Structural Floor Plan
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Building Structures [ARC 2522] [ARC 2523] First Floor Level Structural Floor Plan
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Building Structures [ARC 2522] [ARC 2523]
Quantity Dead Loads Acting on Structure
Quantity Live Loads Acting on Structure
Roof: 1.0 kN/m2
Roof: 0.5 kN/m2
Beam Self Weight (Assume that the size of the initial beam is 150 mm x 150 mm) = Beam size x Concrete Density = 0.15 m x 0.30 m x 24 kN/m3 = 1.08 kN/m
(According to 4th schedule of UBBL for live load according to the function of the space.)
Ground Floor: Brick Wall = Wall height x thickness x density = 3.0 m x 0.15 m x 19kN/m3 = 8.55 kN/m
Identify One Way or Two Way Slab Indicating the Distribution or Load from Slab to Beam
Ly = Longer side of slab Lx = Shorter side of slab When Ly / Lx > 2, it is a one way slab. When Ly / Lx < or = 2, it is a two way slab.
Roof Slab A-A1 / 2-4 = (2.15+3.80) / 2.10 = 2.83 > 2 [One way slab]
Slab A1-B / 2-4 = 5.95 / 2.00 = 2.975 > 2 [One way slab]
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Building Structures [ARC 2522] [ARC 2523] Slab B-D / 2-4 = 5.95 / 4.60 = 1.29 < [Two way slab]
Slab D-E / 1-2 = 3.775 / 3.125 = 1.208 < 2 [Two way slab]
Slab D-E / 2-3A = 3.775 / 2.975 = 1.268 < 2 [Two way slab]
Slab D-E / 3A-4 = 3.775 / 2.975 = 1.268 < 2 [Two way slab]
Slab C-D / 1-2 = 3.125 / 2.450 = 1.276 < 2 [Two way slab]
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Building Structures [ARC 2522] [ARC 2523]
Load Distribution Diagram (First Level Structural Plan supporting roof) To identify how much load would be transferred from the slab to each adjacent beam.
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Building Structures [ARC 2522] [ARC 2523]
Beam Analysis Calculation 1) First Floor Beam, D-E / 2 1. Carries self-weight – Dead load 2. Slab Dead Load & Live Load D-E / 1-2 D-E / 2-3A
1. Beam self-weight = Beam size x concrete density = 0.15 m x 0.30 m x 24 kN/m3 = 1.08 kN/m 2. Dead load on slab D-E / 1-2 [Two way slab] Load is transferred to beam D-E / 2 in a trapezoidal form. Convert the trapezoidal load into UDL. Dead Load from slab D-E / 1-2 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (3.125/2) = 1.56 kN/m Dead load on slab D-E / 2-3A [Two way slab] Load is transferred to beam D-E / 2 in a trapezoidal form. Convert the trapezoidal load into UDL. Dead Load from slab D-E / 2-3A = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.975/2) = 1.49 kN/m Total Dead Load Total for D-E = Beam self-weight + Dead load (D-E / 2-3A) + Dead load (D-E / 1-2) = 1.08 kN/m + 1.56 kN/m + 1.49 kN/m = 4.13 kN/m
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Building Structures [ARC 2522] [ARC 2523] Total Dead Load Diagram
Live load on slab D-E / 1-2 [Two way slab] Load is transferred to beam D-E / 2 in a trapezoidal form. Convert the trapezoidal load into UDL. Live Load from slab D-E / 1-2 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (3.125/2) = 0.78 kN/m Live load on slab D-E / 2-3A [Two way slab] Load is transferred to beam D-E / 2 in a trapezoidal form. Convert the trapezoidal load into UDL. Live Load from slab D-E / 2-3A = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.975/2) = 0.74 kN/m
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Building Structures [ARC 2522] [ARC 2523] Total live load Total for D-E = 0.78 kN/m + 0.74 kN/m = 1.52 kN/m
Total Live Load Diagram
Ultimate Load Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load D-E = 4.13 kN/m x 1.4 = 5.78 kN/m Live Load D-E = 1.52 kN/m x 1.6 = 2.43 kN/m Ultimate load D-E = 5.78 kN/m + 2.43 kN/m = 8.21 kN/m
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Building Structures [ARC 2522] [ARC 2523]
Ultimate Load Diagram
Reactions ΣMD = 0 Assuming that anti clockwise moment is positive, hence 0 = -(8.21 x 3.775 x 3.775/2) + RE (3.775) RE = 15.48 kN ΣFy = 0 RD + RE – (8.21 x 3.775) = 0 RD = 15.48 kN
Load Diagram
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Building Structures [ARC 2522] [ARC 2523]
Shear Force Diagram
Bending Moment Diagram
Beam Analysis Calculation 2) First Floor Beam, D-E / 3A 1. Carries self-weight – Dead load 2. Slab Dead Load & Live Load D-E / 2-3A D-E / 3A-4
1. Beam self-weight = Beam size x concrete density = 0.15 m x 0.30 m x 24 kN/m3 = 1.08 kN/m
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Building Structures [ARC 2522] [ARC 2523] 2. Dead load on slab D-E / 2-3A [Two way slab] Load is transferred to beam D-E / 3A in a trapezoidal form. Convert the trapezoidal load into UDL. Dead Load from slab D-E / 2-3A = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.975/2) = 1.49 kN/m Dead load on slab D-E / 3A-4 [Two way slab] Load is transferred to beam D-E / 3A in a trapezoidal form. Convert the trapezoidal load into UDL. Dead Load from slab D-E / 3A-4 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.975/2) = 1.49 kN/m Total Dead Load Total for D-E = Beam self-weight + Dead load (D-E / 2-3A) + Dead load (D-E / 3A-4) = 1.08 kN/m + 1.49 kN/m + 1.49 kN/m = 4.06 kN/m
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Building Structures [ARC 2522] [ARC 2523] Total Dead Load Diagram
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Building Structures [ARC 2522] [ARC 2523] Live load on slab D-E / 2-3A [Two way slab] Load is transferred to beam D-E / 2 in a trapezoidal form. Convert the trapezoidal load into UDL. Live Load from slab D-E / 2-3A = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.975/2) = 0.74 kN/m Live load on slab D-E / 3A-4 [Two way slab] Load is transferred to beam D-E / 2 in a trapezoidal form. Convert the trapezoidal load into UDL. Live Load from slab D-E / 3A-4 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.975/2) = 0.74 kN/m Total live load Total for D-E = 0.74 kN/m + 0.74 kN/m = 1.48 kN/m
Total Live Load Diagram
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Building Structures [ARC 2522] [ARC 2523] Ultimate Load Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load D-E = 4.06 kN/m x 1.4 = 5.68 kN/m Live Load D-E = 1.48 kN/m x 1.6 = 2.37 kN/m Ultimate load D-E = 5.68 kN/m + 2.37 kN/m = 8.05 kN/m Ultimate Load Diagram
Reactions ΣMD = 0 Assuming that anti clockwise moment is positive, hence 0 = -(8.05 x 3.775 x 3.775/2) + RE (3.775) RE = 15.19 kN ΣFy = 0 RD + 15.19 – (8.05 x 3.775) = 0 RD = 15.19 kN
Load Diagram
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Building Structures [ARC 2522] [ARC 2523]
Shear Force Diagram
Bending Moment Diagram
Beam Analysis Calculation 3) First Floor Beam, E / 1-4 1. Carries self-weight – Dead load 2. Slab Dead Load & Live Load D-E / 1-2 D-E / 2-3A D-E / 3A-4 3. Point load from beam D-E / 2 D-E / 3A
1. Beam self-weight = Beam size x concrete density = 0.15 m x 0.30 m x 24 kN/m3 = 1.08 kN/m
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Building Structures [ARC 2522] [ARC 2523] 2. Dead load on slab D-E / 1-2 [Two way slab] Load is transferred to beam E / 1-4 in a triangular form. Dead Load from slab D-E / 1-2 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (3.125/2) = 1.56 kN/m Convert the triangular load into UDL
= 2/3 x 1.56 kN/m = 1.04 kN/m
Dead load on slab D-E / 2-3A [Two way slab] Load is transferred to beam E / 1-4 in a triangular form. Dead Load from slab D-E / 2-3A = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.975/2) = 1.49 kN/m Convert the triangular load into UDL
= 2/3 x 1.49 kN/m = 0.99 kN/m
Dead load on slab D-E / 3A-4 [Two way slab] Load is transferred to beam E / 1-4 in a triangular form. Dead Load from slab D-E / 3A-4 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.975/2) = 1.49 kN/m Convert the triangular load into UDL
= 2/3 x 1.49 kN/m = 0.99 kN/m
Total Dead Load Total for 1-2 = 1.08 kN/m + 1.04 kN/m = 2.12 kN/m Total for 2-3A = 1.08 kN/m + 0.99 kN/m = 2.07 kN/m Total for 3A-4 = 1.08 kN/m + 0.99 kN/m = 2.07 kN/m
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Building Structures [ARC 2522] [ARC 2523]
Total Dead Load Diagram
Live load on slab D-E / 1-2 [Two way slab] Load is transferred to beam E / 1-4 in a triangular form. Live Load from slab D-E / 1-2 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (3.125/2) = 0.78 kN/m
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Building Structures [ARC 2522] [ARC 2523] Convert the triangular load into UDL = 2/3 x 0.78 kN/m = 0.52 kN/m Live load on slab D-E / 1-2 [Two way slab] Load is transferred to beam E / 1-4 in a triangular form. Live Load from slab D-E / 1-2 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.975/2) = 0.74 kN/m Convert the triangular load into UDL = 2/3 x 0.74 kN/m = 0.50 kN/m Live load on slab D-E / 3A-4 [Two way slab] Load is transferred to beam E / 1-4 in a triangular form. Live Load from slab D-E / 3A-4 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.975/2) = 0.74 kN/m Convert the triangular load into UDL = 2/3 x 0.78 kN/m = 0.50 kN/m
Total live load Total for 1-2 = 0.78 kN/m Total for 2-3A = 0.74 kN/m Total for 3A-4 = 0.74 kN/m
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Building Structures [ARC 2522] [ARC 2523]
Total Live Load Diagram
Ultimate Load Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load 1-2 = 1.04 kN/m x 1.4 = 1.46 kN/m Dead Load 2-3A = 0.99 kN/m x 1.4 = 1.39 kN/m Dead Load 3A-4 = 0.99 kN/m x 1.4 = 1.39 kN/m Live Load 1-2
= 0.78 kN/m x 1.6 = 1.248 kN/m
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Building Structures [ARC 2522] [ARC 2523] Live Load 2-3A = 0.74 kN/m x 1.6 = 1.184 kN/m Live Load 3A-4 = 0.74 kN/m x 1.6 = 1.184 kN/m Ultimate load 1-2 = 1.46 kN/m + 1.248 kN/m = 2.71 kN/m Ultimate load 2-3A= 1.39 kN/m + 1.18 kN/m = 2.57 kN/m Ultimate load 3A-4= 1.39 kN/m + 1.18 kN/m = 2.57 kN/m Ultimate Load Diagram
Reactions ΣM1 = 0 Assuming that anti clockwise moment is positive, hence 0 = -(2.71 x 3.125 x 3.125/2) -(2.57 x 2.975 x [3.125 + 2.975/2]) - (2.57 x 2.975 x [3.125 +2.975 + 2.975/2]) - (15.5 x 3.125) - (15.2 x [3.125 + 2.975]) + R4 (9.075) RE = 27.29 kN ΣFy = 0 R1 + 27.29 – (3.125 x 2.71) - (2.975 x 2.57) – (2.975 x 2.57) - 15.5 - 15.2 = 0 R1 = 27.17 kN
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Building Structures [ARC 2522] [ARC 2523]
Load Diagram
Shear Force Diagram
Bending Moment Diagram
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Building Structures [ARC 2522] [ARC 2523]
Beam Analysis Calculation 4) First Floor Beam, D / 2-4 1. Carries self-weight – Dead load 2. Slab Dead Load & Live Load B-D / 2-4 D-E / 2-3A D-E / 3A-4 3. Point load from beam D-E / 3A
1. Beam self-weight = Beam size x concrete density = 0.15 m x 0.30 m x 24 kN/m3 = 1.08 kN/m 2. Dead load on slab B-D / 2-4 [Two way slab] Load is transferred to beam D / 2-4 in a trapezoidal form. Convert the trapezoidal load into UDL. Dead Load from slab B-D / 2-4 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (4.6/2) = 2.30 kN/m
Dead load on slab D-E / 2-3A [Two way slab] Load is transferred to beam D / 2-4 in a triangular form. Dead Load from slab D-E / 2-3A = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.975/2) = 1.49 kN/m Convert the triangular load into UDL
= 2/3 x 1.49 kN/m = 0.99 kN/m
Dead load on slab D-E / 3A-4 [Two way slab] Load is transferred to beam D / 2-4 in a triangular form. Dead Load from slab D-E / 3A-4 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.975/2) = 1.49 kN/m Convert the triangular load into UDL
= 2/3 x 1.49 kN/m = 0.99 kN/m
Total Dead Load Total for 2-3A = 1.08 kN/m + 2.30 kN/m + 0.99 kN/m = 4.37 kN/m 27 Andrew Chee Kiong Chee Man Shing 0316202
Building Structures [ARC 2522] [ARC 2523] Total for 3A-4 = 1.08 kN/m + 2.30 kN/m + 0.99 kN/m = 4.37 kN/m Total Dead Load Diagram
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Building Structures [ARC 2522] [ARC 2523]
Live load on slab B-D / 2-4 [Two way slab] Load is transferred to beam D / 2-4 in a trapezoidal form. Convert the trapezoidal load into UDL. Live Load from slab B-D / 2-4 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (4.6/2) = 1.15 kN/m
Live load on slab D-E / 2-3A [Two way slab] Load is transferred to beam D / 2-4 in a triangular form. Live Load from slab D-E / 2-3A = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.975/2) = 0.74 kN/m Convert the triangular load into UDL = 2/3 x 0.74 kN/m = 0.50 kN/m Live load on slab D-E / 3A-4 [Two way slab] Load is transferred to beam D / 2-4 in a triangular form. Live Load from slab D-E / 3A-4 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.975/2) = 0.74 kN/m Convert the triangular load into UDL = 2/3 x 0.78 kN/m = 0.50 kN/m
Total live load Total for 2-3A = 1.15 kN/m + 0.49 kN/m = 1.64 kN/m Total for 3A-4 = 1.15 kN/m + 0.49 kN/m = 1.64 kN/m
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Building Structures [ARC 2522] [ARC 2523]
Total Live Load Diagram
Ultimate Load Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load 2-3A = 4.37 kN/m x 1.4 = 6.12 kN/m Dead Load 3A-4 = 4.37 kN/m x 1.4 = 6.12 kN/m Live Load 2-3A = 1.64 kN/m x 1.6 = 2.62 kN/m Live Load 3A-4 = 1.64 kN/m x 1.6 = 2.62 kN/m
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Building Structures [ARC 2522] [ARC 2523] Ultimate load 2-3A= 6.12 kN/m + 2.62 kN/m = 8.74 kN/m Ultimate load 3A-4= 6.12 kN/m + 2.62 kN/m = 8.74 kN/m
Ultimate Load Diagram
Reactions ΣM2 = 0 Assuming that anti clockwise moment is positive, hence 0 = -(8.74 x 29.75 x 2.975/2) -(15.19 x 2.975) - (8.74 x 2.975 x [2.975 + 2.975/2]) + R4 (5.95) RE = 33.60 kN ΣFy = 0 R4 + 33.60 – (8.74 x 2.975) – 15.19 – (8.74 x 2.975) = 0 R4 = 33.60 kN
Load Diagram
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Building Structures [ARC 2522] [ARC 2523]
Shear Force Diagram
Bending Moment Diagram
Beam Analysis Calculation 5) First Floor Beam, A1 / 2-4 1. Carries self-weight – Dead load 2. Slab Dead Load & Live Load A-A1 / 2-4 (One way slab) A1-B / 2-4 (One way slab)
1. Beam self-weight = Beam size x concrete density = 0.15 m x 0.30 m x 24 kN/m3 = 1.08 kN/m 2. Dead load on slab A-A1 / 2-4 [One way slab] Load is transferred to beam A1 / 2-4 in a UDL form. 32 Andrew Chee Kiong Chee Man Shing 0316202
Building Structures [ARC 2522] [ARC 2523] Dead Load from slab A-A1 / 2-4 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2.1/2) = 1.05 kN/m Dead load on slab A1-B / 2-4 [One way slab] Load is transferred to beam A1 / 2-4 in a trapezoidal form. Dead Load from slab A1-B / 2-4 = Dead load on slab x (Lx/2) = 1.0 kN/m2 x (2/2) = 1.00 kN/m Total Dead Load Total for 2-4 = 1.08 kN/m + 1.05 kN/m + 1.00 kN/m = 3.13 kN/m Total Dead Load Diagram
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Building Structures [ARC 2522] [ARC 2523] Live load on slab A-A1 / 2-4 [One way slab] Load is transferred to beam A1 / 2-4 in a UDL. Live Load from slab A1 / 2-4 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.1/2) = 0.525 kN/m Live load on slab A1-B / 2-4 [One way slab] Load is transferred to beam A1 / 2-4 in a UDL. Live Load from slab A1-B / 2-4 = Live load on slab x (Lx/2) = 0.5 kN/m2 x (2.0/2) = 0.50 kN/m Total live load Total for 2-4 = 0.525 kN/m + 0.500 kN/m = 1.025 kN/m
Total Live Load Diagram
Ultimate Load Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load 2-4 = 3.13 kN/m x 1.4 = 4.38 kN/m Live Load 2-4
= 1.03 kN/m x 1.6 34
Andrew Chee Kiong Chee Man Shing 0316202
Building Structures [ARC 2522] [ARC 2523] = 1.65 kN/m Ultimate load 2-4 = 4.38 kN/m + 1.65 kN/m = 6.03 kN/m Ultimate Load Diagram
Reactions ΣMA = 0 Assuming that anti clockwise moment is positive, hence 0 = -(6.03 x 5.95 x 5.95/2) + RE (3.775) R2 = 17.94 kN ΣFy = 0 R4 + R2 – (5.95 x 6.03) = 0 R4 = 17.94 kN
Load Diagram
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Building Structures [ARC 2522] [ARC 2523]
Shear Force Diagram
Bending Moment Diagram
Beam Analysis Calculation 6) First Floor Beam, A-B / 4 1. Carries self-weight â&#x20AC;&#x201C; Dead load 2. Point load from beam A1 / 2-4 1. Beam self-weight = Beam size x concrete density = 0.15 m x 0.30 m x 24 kN/m3 = 1.08 kN/m 2. Point load A1 / 2-4= 17.94 kN
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Building Structures [ARC 2522] [ARC 2523] Total Dead Load Diagram
Ultimate Load Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load A-B = 1.08 kN/m x 1.4 = 1.51 kN/m Ultimate load A-B = 1.51 kN/m Ultimate Load Diagram
Reactions ΣMA = 0 Assuming that anti clockwise moment is positive, hence 0 = -(1.51 x 4.10 x 4.10/2) –(17.94 x 2.1) + RB (4.10) RB = 12.28 kN ΣFy = 0 RA + 12.28 – (1.51 x 4.1) – 17.94 = 0 RA = 11.85 kN
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Building Structures [ARC 2522] [ARC 2523]
Load Diagram
Shear Force Diagram
Bending Moment Diagram
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Building Structures [ARC 2522] [ARC 2523]
Column Analysis Calculation [Tributary Area Method]
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Building Structures [ARC 2522] [ARC 2523]
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Building Structures [ARC 2522] [ARC 2523]
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Building Structures [ARC 2522] [ARC 2523]
1) Column A/4: Foundation, Ground, First Level
(i) First level - Roof slab - A/4 Dead load & Live load of slab A-A1/2-4 Dead load of beam A/2-4, A-B/4 Slab Area = [2.15 + 3.80]/2 x [2.00 + 2.10]/2 = 2.975 x 2.050 = 6.10 m2
Dead load on column Dead load from slab = 6.10 m2 x 1.0 kN/m2 = 6.10 kN
Dead load from beam A-B/4 = length of beam x beam selfweight = 2.05 m x 1.08 kN/m = 2.214 kN
Dead load from beam A/2-4 = length of beam x beam selfweight = 2.975 m x 1.08 kN/m = 3.213 kN Total dead load = 6.10 kN + 2.214 kN + 3.213 kN = 11.53 kN Live Load on Column Live load from slab = 6.10 m2 x 0.5 kN/m2 = 3.05 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 11.53 kN x 1.4 = 16.14 kN Live load = 6.10 kN x 1.6 = 9.76 kN Total Ultimate Load = 16.14 kN + 9.76 kN = 25.90 kN 42 Andrew Chee Kiong Chee Man Shing 0316202
Building Structures [ARC 2522] [ARC 2523]
(ii) Ground level – First Floor slab - A/4 Dead load & Live load of slab A-A1/2-4 Dead load of beam A/2-4, A-B/4 Slab Area = [2.15 + 3.80]/2 x [2.00 + 2.10]/2 = 2.975 x 2.050 = 6.10 m2
Dead load on column Dead load from slab = 6.10 m2 x 3.6 kN/m2 = 21.96 kN
Dead load from beam A-B/4 = length of beam x beam selfweight = 2.05 m x 1.08 kN/m = 2.214 kN
Dead load from beam A/2-4 = length of beam x beam selfweight = 2.975 m x 1.08 kN/m = 3.213 kN Total dead load = 21.96 kN + 2.214 kN + 3.213 kN = 27.39 kN Live Load on Column Live load from slab = 6.10 m2 x 1.5 kN/m2 = 9.15 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 27.39 kN x 1.4 = 38.34 kN Live load = 9.15 kN x 1.6 = 14.64 kN Total Ultimate Load = 38.34 kN + 14.64 kN = 52.98 kN 43 Andrew Chee Kiong Chee Man Shing 0316202
Building Structures [ARC 2522] [ARC 2523]
(iii) Foundation Level – First Floor slab - A/4 Dead load & Live load of slab A-A1/2-4 Dead load of beam A/2-4, A-B/4 Dead load of brickwall A/2-4 , A-B/4 Slab Area = [2.15 + 3.80]/2 x [2.00 + 2.10]/2 = 2.975 x 2.050 = 6.10 m2
Dead load on column Dead load from slab = 6.10 m2 x 3.6 kN/m2 = 21.96 kN
Dead load from beam A-B/4 = length of beam x beam selfweight = 2.05 m x 3.6 kN/m = 2.214 kN
Dead load from beam A/2-4 = length of beam x beam selfweight = 2.975 m x 1.08 kN/m = 3.213 kN Dead load from brickwall A/2-4 = 2.05 m x 8.55 kN/m = 17.53 kN Dead load from brickwall A-B/2 = 2.975 m x 8.55 kN/m = 25.44 kN Total dead load = 21.96 kN + 2.214 kN + 3.213 kN + 17.53 kN + 25.44 kN = 70.36 kN Live Load on Column Live load from slab = 6.10 m2 x 1.5 kN/m2 = 9.15 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 70.36 kN x 1.4 44 Andrew Chee Kiong Chee Man Shing 0316202
Building Structures [ARC 2522] [ARC 2523] = 98.50 kN Live load = 9.15 kN x 1.6 = 14.64 kN Total Ultimate Load = 98.50 kN + 14.64 kN = 113.14 kN
Total load carried by column A/4 = 113.14 kN + 52.98 kN + 25.90 kN = 192.02 kN
2) Column B/4: Foundation, Ground, First Level
(i) First level - Roof slab - B/4 Dead load & Live load of slab A-A1/2-4, A1-B/2-4, B-D/2-4, C-D/1-2 Dead load of beam B/2-4, A-B/4, B-D/4 Slab Area = [0.050 x 2.975] + [2.050 x 2.975] + [2.150 x 2.975] + [0.225 x 1.56] + [0.225 x 2.975] = 0.15 + 6.10 + 6.40 + 0.35 + 0.67 = 13.66 m2
Dead load on column Dead load from slab = 13.66 m2 x 1.0 kN/m2 = 13.66 kN
Dead load from beam A-B/4 = length of beam x beam selfweight = 2.05 m x 1.08 kN/m = 2.214 kN
Dead load from beam B/2-4 = length of beam x beam selfweight = 2.975 m x 1.08 kN/m = 3.213 kN
Dead load from beam B-D/4 = length of beam x beam selfweight = 4.60 m x 1.08 kN/m
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Building Structures [ARC 2522] [ARC 2523] = 4.97 kN
Total dead load = 13.66 kN + 2.21 kN + 3.21 kN + 4.97 kN = 24.05 kN Live Load on Column Live load from slab = 13.66 m2 x 0.5 kN/m2 = 6.83 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 24.05 kN x 1.4 = 33.67 kN Live load = 6.83 kN x 1.6 = 10.93 kN Total Ultimate Load = 33.67 kN + 10.93 kN = 44.60 kN
(ii) Ground level – First Floor slab - B/4 Dead load & Live load of slab A-A1/2-4, A1-B/2-4, B-D/2-4, C-D/1-2 Dead load of beam B/2-4, A-B/4, B-D/4 Slab Area = [0.050 x 2.975] + [2.050 x 2.975] + [2.150 x 2.975] + [0.225 x 1.56] + [0.225 x 2.975] = 0.15 + 6.10 + 6.40 + 0.35 + 0.67 = 13.66 m2
Dead load on column Dead load from slab = 13.66 m2 x 3.6 kN/m2 = 49.18 kN
Dead load from beam A-B/4 = length of beam x beam selfweight = 2.05 m x 1.08 kN/m = 2.214 kN
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Building Structures [ARC 2522] [ARC 2523] Dead load from beam B/2-4 = length of beam x beam selfweight = 2.975 m x 1.08 kN/m = 3.213 kN Dead load from beam B-D/4 = length of beam x beam selfweight = 4.60 m x 1.08 kN/m = 4.97 kN
Total dead load = 49.18 kN + 2.21 kN + 3.21 kN + 4.97 kN = 59.57 kN Live Load on Column Live load from slab = 13.66 m2 x 1.5 kN/m2 = 20.49 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 59.57 kN x 1.4 = 83.40 kN Live load = 20.49 kN x 1.6 = 32.78 kN Total Ultimate Load = 83.40 kN + 32.78 kN = 116.18 kN
(iii) Foundation Level – Ground Floor slab - B/4 Dead load & Live load of slab A-A1/2-4, A1-B/2-4, B-D/2-4, C-D/1-2 Dead load of beam B/2-4, A-B/4, B-D/4 Dead load of brickwall A-B/4, B-C/4 Slab Area = [0.050 x 2.975] + [2.050 x 2.975] + [2.150 x 2.975] + [0.225 x 1.56] + [0.225 x 2.975] = 0.15 + 6.10 + 6.40 + 0.35 + 0.67 = 13.66 m2
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Building Structures [ARC 2522] [ARC 2523] Dead load on column Dead load from slab = 13.66 m2 x 3.6 kN/m2 = 49.18 kN
Dead load from beam A-B/4 = length of beam x beam selfweight = 2.05 m x 1.08 kN/m = 2.21 kN
Dead load from beam B/2-4 = length of beam x beam selfweight = 2.975 m x 1.08 kN/m = 3.21 kN Dead load from beam B-D/4 = length of beam x beam selfweight = 4.60 m x 1.08 kN/m = 4.97 kN Dead load from brickwall A-B/4 = [2.05 m + 0.05 m] x 8.55 kN/m = 17.96 kN Dead load from brickwall B-C/4 = 2.150 m x 8.55 kN/m = 18.38 kN
Total dead load = 49.18 kN + 2.21 kN + 3.21 kN + 4.97 kN + 17.96 kN + 18.38 kN = 95.91 kN Live Load on Column Live load from slab = 13.66 m2 x 1.5 kN/m2 = 20.49 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 95.91 kN x 1.4 = 134.27 kN Live load = 20.49 kN x 1.6 = 32.78 kN Total Ultimate Load = 134.27 kN + 32.78 kN = 167.05 kN 48 Andrew Chee Kiong Chee Man Shing 0316202
Building Structures [ARC 2522] [ARC 2523]
Total load carried by column B/4 = 44.60 kN + 116.18 kN + 167.05 kN = 327.83 kN
3) Column D/4: Foundation, Ground, First Level
(i) First level - Roof slab - D/4 Dead load & Live load of slab B-D/2-4, D-E/3-4 Dead load of beam B-D/4, D-E/4, D/2-4
Slab Area = 4.08 m x 3.05 m = 12.44 m2 Dead load on column Dead load from slab = 12.44 m2 x 1.0 kN/m2 = 12.44 kN
Dead load from beam B-D/4 = length of beam x beam selfweight = 2.18 m x 1.08 kN/m = 2.35 kN
Dead load from beam D-E/4 = length of beam x beam selfweight = 1.89 m x 1.08 kN/m = 2.04 kN
Dead load from beam D/2-4 = length of beam x beam selfweight = 2.98 m x 1.08 kN/m = 3.22 kN
Total dead load = 12.44 kN + 2.35 kN + 2.04 kN + 3.22 kN = 20.05 kN Live Load on Column Live load from slab = 12.44 m2 x 0.5 kN/m2 = 6.22 kN
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Building Structures [ARC 2522] [ARC 2523] Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 20.05 kN x 1.4 = 28.07 kN Live load = 6.22 kN x 1.6 = 9.95 kN Total Ultimate Load = 28.07 kN + 9.95 kN = 38.02 kN
(ii) Ground Level – First floor slab - D/4 Dead load & Live load of slab B-D/2-4, D-E/3-4 Dead load of beam B-D/4, D-E/4, D/2-4 Deaf load of brickwall B-D/4, D-E/4, D/2-4
Slab Area = 4.08 m x 3.05 m = 12.44 m2 Dead load on column Dead load from slab = 12.44 m2 x 3.6 kN/m2 = 44.78 kN
Dead load from beam B-D/4 = length of beam x beam selfweight = 2.18 m x 1.08 kN/m = 2.35 kN
Dead load from beam D-E/4 = length of beam x beam selfweight = 1.89 m x 1.08 kN/m = 2.04 kN
Dead load from beam D/2-4 = length of beam x beam selfweight = 2.98 m x 1.08 kN/m = 3.22 kN Dead load from brickwall B-D/4 = 2.18 m x 8.55 kN/m = 18.64 kN
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Building Structures [ARC 2522] [ARC 2523] Dead load from brickwall D-E/4 = 1.89 m x 8.55 kN/m = 16.16 kN Dead load from brickwall D/2-4 = 2.98 m x 8.55 kN/m = 25.48 kN
Total dead load = 44.78 kN + 2.35 kN + 2.04 kN + 3.22 kN + 18.64 kN + 16.16 kN + 25.48 kN = 112.67 kN Live Load on Column Live load from slab = 12.44 m2 x 1.5 kN/m2 = 18.66 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 112.67 kN x 1.4 = 157.74 kN Live load = 18.66 kN x 1.6 = 29.86 kN Total Ultimate Load = 157.74 kN + 29.86 kN = 187.60 kN
(iii) Foundation Level – Ground floor slab - D/4 Dead load & Live load of slab B-D/2-4, D-E/3-4 Dead load of beam B-D/4, D-E/4, D/2-4 Deaf load of brickwall B-D/4, D-E/4, D/2-4
Slab Area = 4.08 m x 3.05 m = 12.44 m2 Dead load on column Dead load from slab = 12.44 m2 x 3.6 kN/m2 = 44.78 kN
Dead load from beam B-D/4 = length of beam x beam selfweight = 2.18 m x 1.08 kN/m = 2.35 kN
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Building Structures [ARC 2522] [ARC 2523] Dead load from beam D-E/4 = length of beam x beam selfweight = 1.89 m x 1.08 kN/m = 2.04 kN
Dead load from beam D/2-4 = length of beam x beam selfweight = 2.98 m x 1.08 kN/m = 3.22 kN Dead load from brickwall B-D/4 = 2.18 m x 8.55 kN/m = 18.64 kN Dead load from brickwall D-E/4 = 1.89 m x 8.55 kN/m = 16.16 kN Dead load from brickwall D/2-4 = 2.98 m x 8.55 kN/m = 25.48 kN
Total dead load = 44.78 kN + 2.35 kN + 2.04 kN + 3.22 kN + 18.64 kN + 16.16 kN + 25.48 kN = 112.67 kN Live Load on Column Live load from slab = 12.44 m2 x 1.5 kN/m2 = 18.66 kN Ultimate load Apply the factor 1.4 and 1.6 to dead and live load respectively. Dead load = 112.67 kN x 1.4 = 157.74 kN Live load = 18.66 kN x 1.6 = 29.86 kN Total Ultimate Load = 157.74 kN + 29.86 kN = 187.60 kN
Total load carried by column D/4 = 38.02 kN + 187.60 kN + 187.60 kN = 413.22 kN
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