Building Structures [ARC 2522] Project 2: Extension of a R.C. bungalow
Choose Existing R.C. Bungalow: KK Bungalow
Name
:
Vicky Lee Wei Kee
Student ID
:
0313317
Lecturer
:
Ms. Ann See Peng
Submission Date
:
12th November 2015
Identify One-Way Slab or Two-Way Slab Identify the distribution of load from slab to beam. Slab 1 (Toilet 5) = 2000mm รท 1200mm = 1.67 < 2 (Two Way Slab) Slab 2 (Family Room) = 2000mm รท 1800mm = 1.11 < 2 (Two Way Slab) Slab 3 (Family Room) = 5000mm รท 3000mm = 1.67 < 2 (Two Way Slab) Slab 4 (Toilet 4) = 3300mm รท 2000mm = 1.65 < 2 (Two Way Slab)
FIRST FLOOR PLAN
LOAD DISTRIBUTION DIAGRAM: FIRST FLOOR PLAN
Slab 5 (Bedroom 2) = 5000mm รท 3300mm = 1.52 < 2 (Two Way Slab)
LOAD DISTRIBUTION DIAGRAM FROM SLAB TO COLUMN: FIRST FLOOR
Beam Analysis Calculation First Floor Beam, C / 1-2 1. Carries self-weight – Dead Load 2. Slab Dead Load & Live Load Slab 1: C-D / 1-2 (Two-Way Slab) Slab 2: B-C / 1-2 (Two-Way Slab) 3. Brick Wall – Dead Load
_____________________________________________________________________ DEAD LOAD Concrete Beam Self-Weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Concrete Slab Dead Load
= 24 kN/m3 × 0.15 m = 3.6 kN/m2
Concrete Slab 1 Dead Load
= 3.6 kN/m2 × (1.2 m / 2) = 2.16 kN/m
Concrete Slab 2 Dead Load
= 3.6 kN/m2 × (1.8 m / 2) = 3.24 kN/m
Brick Wall Dead Load
= (0.15 × 3.5) m × 19 kN/m2 = 9.98 kN/m
Total Dead Load Total Dead Load
LIVE LOAD Toilet 5
= 1.08 kN/m + 2.16 kN/m + 3.24 kN/m + 9.98 kN/m = 16.46 kN/m
= 2.0 kN/m2 × (1.2 m / 2) = 1.2 kN/m
Family Room
= 1.5 kN/m2 × (1.8 m / 2) = 1.35 kN/m
Total Live Load Total Live Load = 1.2 kN/m + 1.35 kN/m = 2.55 kN/m ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Ultimate Load = Total Dead Load (1.4) + Total Live Load (1.6) = 16.46 kN/m (1.4) + 2.55 kN/m (1.6) = 23 kN/m + 4.08 kN/m = 27.08 kN/m ULTIMATE LOAD DIAGRAM
Total Load
= 2m × 27.08 kN/m = 54.16 kN
Reactions (UDL) Reactions = (2m × 27.08 kN/m) / 2 = 54.16 kN
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
Area of triangle = ½ × 1 × 27.08 =13.54
BENDING MOMENT DIAGRAM
First Floor Beam, B-D / 1
1. Carries self-weight – Dead Load 2. Slab Dead Load & Live Load Slab 1: C-D / 1-2 (Two-Way Slab) Slab 2: B-C / 1-2 (Two-Way Slab) 3. Brick Wall – Dead Load
_____________________________________________________________________
DEAD LOAD Concrete Beam Self-Weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Concrete Slab Dead Load
= 24 kN/m3 × 0.15 m = 3.6 kN/m2
Concrete Slab 1 Dead Load
= 3.6 kN/m2 × (1.2 m / 2) × (2/3) = 1.44 kN/m
Concrete Slab 2 Dead Load
= 3.6 kN/m2 × (1.8 m / 2) × (2/3) = 2.16 kN/m
Brick Wall Dead Load
= (0.15 × 3.5) m × 19 kN/m2 = 9.98 kN/m
Total Dead Load Total Dead Load for Beam B-C / 1
= 1.08 kN/m + 2.16 kN/m + 9.98 kN/m = 13.22 kN/m
Total Dead Load for Beam C-D / 1
= 1.08 kN/m + 1.44 kN/m + 9.98 kN/m = 12.5 kN/m
LIVE LOAD Toilet 5
Family Room
= 2.0 kN/m2 × (1.2 m / 2) × (2/3) = 0.8 kN/m = 1.5 kN/m2 × (1.8 m / 2) × (2/3) = 0.9 kN/m
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Ultimate Load for B-C / 1 = Total Dead Load (1.4) + Total Live Load (1.6) = 13.22 kN/m (1.4) + 0.9 kN/m (1.6) = 18.51 kN/m + 1.44 kN/m = 19.95 kN/m Ultimate Load for C-D / 1
= Total Dead Load (1.4) + Total Live Load (1.6) = 12.5 kN/m (1.4) + 0.8 kN/m (1.6) = 17.5 kN/m + 1.28 kN/m = 18.78 kN/m
POINT LOAD Point Load from Beam C / 1-2 which is a secondary beam load = 27.08 kN ULTIMATE LOAD DIAGRAM
Total Load for B-C / 1
= 19.95 kN/m × 1.8 m = 35.91 kN
Total Load for C-D / 1
= 18.78 kN/m × 1.2 m = 22.54 kN
Reactions
∑M = 0 0 = MA2 – MA1 = (Ra × 3) – 35.91 kN (2.1 kN/m) – 27.08 kN (1.2 kN/m) – 22.54 kN (0.6 kN/m) = 3Ra – 75.41 kN – 32.5 kN – 13.52 kN 3Ra = 121.43 kN Ra = 40.48 kN ∑y = 0 0 = 40.48 kN + Rb – 35.91 kN – 27.08 kN – 22.54 kN Rb = 45.05 kN
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
Area of trapezium at (+) area = (40.48 + 4.57) × 1.8 / 2 = 81.09 Area of trapezium at (-) area = (-22.52 - 44.05) × 1.2 / 2 = -81.09 Area of (+) area + Area of (-) area = 81.09 -81.09 =0
BENDING MOMENT DIAGRAM
First Floor Beam, B-D / 2 1. Carries self-weight – Dead Load 2. Slab Dead Load & Live Load Slab 1: C-D / 1-2 (Two-Way Slab) Slab 2: B-C / 1-2 (Two-Way Slab) Slab 3: B-D / 2-4 (Two-Way Slab) 3. Brick Wall – Dead Load
_____________________________________________________________________ DEAD LOAD Concrete Beam Self-Weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Concrete Slab Dead Load
= 24 kN/m3 × 0.15 m = 3.6 kN/m2
Concrete Slab 1 Dead Load
= 3.6 kN/m2 × (1.2 m / 2) × (2/3) = 1.44 kN/m
Concrete Slab 2 Dead Load
= 3.6 kN/m2 × (1.8 m / 2) × (2/3) = 2.16 kN/m
Concrete Slab 3 Dead Load
= 3.6 kN/m2 × (3 m / 2) × (2/3) = 3.6 kN/m
Brick Wall Dead Load
= (0.15 × 3.5) m × 19 kN/m2 = 9.98 kN/m
Total Dead Load Total Dead Load for Beam B-C / 2= 1.08 kN/m + 2.16 kN/m + 3.6 kN/m 9.98 kN/m = 16.82 kN/m Total Dead Load for Beam C-D / 2= 1.08 kN/m + 1.44 kN/m + 3.6 kN/m + 9.98 kN/m = 16.1 kN/m
LIVE LOAD Toilet 5
= 2.0 kN/m2 × (1.2 m / 2) × (2/3)
= 0.8 kN/m Family Room (Slab B-C /1-2)
= 1.5 kN/m2 × (1.8 m / 2) × (2/3) = 0.9 kN/m
Family Room (Slab B-D /2-4)
= 1.5 kN/m2 × (3 m / 2) × (2/3) = 1.5 kN/m
Total Live Load Total Live Load for B-C/ 2
= 0.9 kN/m + 1.5 kN/m = 2.4 kN/m = 0.8 kN/m + 1.5 kN/m = 2.3 kN/m
Total Live Load for C-D/ 2
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Ultimate Load for B-C / 1 = Total Dead Load (1.4) + Total Live Load (1.6) = 16.82 kN/m (1.4) + 2.4 kN/m (1.6) = 23.55 kN/m + 3.84 kN/m = 27.39 kN/m Ultimate Load for C-D / 1 = Total Dead Load (1.4) + Total Live Load (1.6) = 16.1 kN/m (1.4) + 2.3 kN/m (1.6) = 22.54 kN/m + 3.68 kN/m = 26.22 kN/m POINT LOAD Point Load from Beam C / 1-2 which is a secondary beam load = 27.08 kN ULTIMATE LOAD DIAGRAM
Total Load for B-C / 2
= 27.39 kN/m × 1.8 m = 49.3 kN
Total Load for C-D / 2
= 26.22 kN/m × 1.2 m = 31.46 kN
Reactions ∑M = 0 0 = MA2 – MA1 = (Ra × 3) – 49.3 kN (2.1 kN/m) – 27.08 kN (1.2 kN/m) – 31.46 kN (0.6 kN/m) = 3Ra –103.53 kN – 32.5 kN – 18.88 kN 3Ra = 154.91 kN Ra = 51.64 kN ∑y = 0 0 = 51.64 kN + Rb – 49.3 kN – 27.08 kN – 31.46 kN Rb = 56.2 kN
LOAD DIAGRAM
SHEAR FORCE DIAGRAM Area of trapezium at (+) area = (51.64+ 2.34) × 1.8 / 2 = 48.58 Area of trapezium at (-) area = (-24.74 – 56.2) × 1.2 / 2 = -48.58 Area of (+) area + Area of (-) area = 48.58 - 48.58 =0
BENDING MOMENT DIAGRAM
First Floor Beam, B / 1-2 1. Carries self-weight – Dead Load 2. Slab Dead Load & Live Load Slab 2: B-C / 1-2 (Two-Way Slab) Slab 4: A-B / 1-2 (Two-Way Slab) 3. Brick Wall – Dead Load
DEAD LOAD Concrete Beam Self-Weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Concrete Slab Dead Load
= 24 kN/m3 × 0.15 m = 3.6 kN/m2
Concrete Slab 2 Dead Load
= 3.6 kN/m2 × (1.8 m / 2) = 3.24 kN/m
Concrete Slab 4 Dead Load
= 3.6 kN/m2 × (2 m / 2) × (2/3) = 2.4 kN/m
Brick Wall Dead Load
= (0.15 × 3.5) m × 19 kN/m2 = 9.98 kN/m
Total Dead Load Total Dead Load
LIVE LOAD Family Room (Slab B-C /1-2)
Toilet 4
Total Live Load
= 1.08 kN/m + 9.98 kN/m + 3.24 kN/m + 2.4 kN/m = 16.7 kN/m
= 1.5 kN/m2 × (1.8 m / 2) = 1.35 kN/m = 2.0 kN/m2 × (2 m / 2) × (2 / 3) = 1.33 kN/m
Total Live Load
= 1.35 kN/m + 1.33 kN/m = 2.68 kN/m
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Ultimate Load = Total Dead Load (1.4) + Total Live Load (1.6) = 16.7 kN/m (1.4) + 2.68 kN/m (1.6) = 23.38 kN/m + 4.29 kN/m = 27.67 kN/m POINT LOAD Point Load from Beam C / 1-2 which is a secondary beam load = 27.08 kN ULTIMATE LOAD DIAGRAM
Total Load
Reactions (UDL) Reactions
= 27.67 kN/m × 2 m = 55.34 Kn
= (2m × 55.34 kN/m) / 2 = 55.34 kN
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
Area of triangle = ½ × 1 × 27.67 =13.84
BENDING MOMENT DIAGRAM
First Floor Beam, A-B / 1 1. Carries self-weight – Dead Load 2. Slab Dead Load & Live Load Slab 4: A-B / 1-2 (Two-Way Slab) 3. Brick Wall – Dead Load
______________________________________________________________________ DEAD LOAD Concrete Beam Self-Weight
Concrete Slab Dead Load Concrete Slab 4 Dead Load
Brick Wall Dead Load
Total Dead Load Total Dead Load
LIVE LOAD Toilet 4
Total Live Load Total Live Load
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m = 24 kN/m3 × 0.15 m = 3.6 kN/m2 = 3.6 kN/m2 × (2 m / 2) = 3.6 kN/m = (0.15 × 3.5) m × 19 kN/m2 = 9.98 kN/m
= 1.08 kN/m + 9.98 kN/m + 3.6 kN/m = 14.66 kN/m
= 2.0 kN/m2 × (2 m / 2) = 2.0 kN/m
= 2.0 kN/m
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Ultimate Load = Total Dead Load (1.4) + Total Live Load (1.6) = 14.66 kN/m (1.4) + 2 kN/m (1.6) = 20.52 kN/m + 3.2 kN/m = 23.72 kN/m
ULTIMATE LOAD DIAGRAM
Total Load = 3.3 m × 23.72 kN/m = 78.28 kN Reactions (UDL) Reactions = (3.3m × 23.72 kN/m) / 2 = 39.14 kN
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
Area of triangle = ½ × 1.65 × 39.41 =32.51
BENDING MOMENT DIAGRAM
First Floor Beam, A-B / 2 1. Carries self-weight – Dead Load 2. Slab Dead Load & Live Load Slab 4: A-B / 1-2 (Two-Way Slab) Slab 5: A-B / 2-4 (Two-Way Slab) 3. Brick Wall – Dead Load
DEAD LOAD Concrete Beam Self-Weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Concrete Slab Dead Load
= 24 kN/m3 × 0.15 m = 3.6 kN/m2
Concrete Slab 4 Dead Load
= 3.6 kN/m2 × (2 m / 2) = 3.6 kN/m
Concrete Slab 5 Dead Load
= 3.6 kN/m2 × (3.3 m / 2) × (2 / 3) = 3.96 kN/m
Brick Wall Dead Load
= (0.15 × 3.5) m × 19 kN/m2 = 9.98 kN/m
Total Dead Load Total Dead Load
LIVE LOAD Toilet 4 Bedroom 2
Total Live Load Total Live Load
= 1.08 kN/m + 9.98 kN/m + 3.6 kN/m + 3.96 kN/m = 18.62 kN/m
= 2.0 kN/m2 × (2 m / 2) = 2.0 kN/m = 1.5 kN/m2 × (3.3 m / 2) × (2 / 3) = 1.65 kN/m
= 2.0 kN/m + 1.65 kN/m
= 3.65 kN/m
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Ultimate Load = Total Dead Load (1.4) + Total Live Load (1.6) = 14.66 kN/m (1.4) + 2 kN/m (1.6) = 20.52 kN/m + 3.2 kN/m = 23.72 kN/m ULTIMATE LOAD DIAGRAM Total Load
= 3.3 m × 31.84 kN/m = 105.07 kN
Reactions (UDL) Reactions = (3.3m × 31.84 kN/m) / 2 = 52.54 kN
LOAD DIAGRAM
SHEAR FORCE DIAGRAM
Area of triangle = ½ × 1.65 × 52.54 =43.35
BENDING MOMENT DIAGRAM
Load Distribution Diagram The load transferred from slab to column of both ground and first floor column all the way from roof to foundation.
LOAD DISTRIBUTION DIAGRAM FROM SLAB TO COLUMN: GROUND FLOOR
LOAD DISTRIBUTION DIAGRAM FROM SLAB TO COLUMN: FIRST FLOOR
LOAD DISTRIBUTION DIAGRAM FROM SLAB TO COLUMN: ROOF
Column Analysis Calculation Colum B1 DEAD LOAD Roof Level Slab: Assume slab self-weight on roof = 1.0 kN/m3
Area of slab acting on column B1 = (1.5 m × 1m) + (1.65 m × 1m) = 3.15m2 Column Dead Load for Roof Slab = 1.0 kN/m2 × 3.15 m2 = 3.15 kN Beam: Assume beam self-weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Beam
= 1.08 kN/m × (1.5m + 1m + 1.65m) = 4.48 kN
Total Dead Load of Roof
= 3.15 kN + 4.48 kN = 7.63 kN
1st Floor Level Assume slab self-weight
= 0.15m × 24 kN/m3 = 3.6 kN/m2
Slab 2 (Family Room)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.5m × 1m) = 5.4 kN
Slab 4 (Toilet 4)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Beam
= 1.08 kN/m × (1.5m + 1m + 1.65m) = 4.48 kN
Brickwall Dead Load
= 9.98 kN/m × (1.5m + 1m + 1.65m) = 41.42 kN
Total Dead Load of 1ST Floor Level
Ground Floor Level Slab 2 (Wet Kitchen)
= 5.4 kN + 5.94 kN+ 4.48 kN+ 41.42 kN = 57.24 kN
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.5m × 1m) = 5.4 kN
Slab 4 (Toilet 3)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Beam
= 1.08 kN/m × (1.5m + 1m + 1.65m) = 4.48 kN
Brickwall Self Weight
= thickness × height × density = (0.15 × 3.5) m × 19 kN/m2 = 9.98 kN/m
Brickwall Dead Load
= 9.98 kN/m × (1.5m + 1m + 1.65m) = 41.42 kN
Total Dead Load of 1ST Floor Level
= 5.4 kN + 5.94 kN+ 4.48 kN+ 41.42 kN = 57.24 kN
Total Dead Load from roof to foundation of column B1 = 7.63 kN + 57.24 kN+ 57.24 kN = 122.11 kN
LIVE LOAD Live Load on Roof Level Roof Total Live Load of Roof Level
= 0.5 kN/m2 × 3.15M2 = 1.58kN
Live Load on First Floor Level Slab 2 (Family Room)
= Live Load Factor × Area of slab acting on column B1 = 1.5 kN/m3 (1.5m × 1m)
= 2.25 kN Slab 4 (Toilet 4)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Total Live Load of 1ST Floor Level
= 2.25 kN + 3.3 kN = 5.55 kN
Live Load on Ground Floor Level Slab 2 (Wet Kitchen)
= Live Load Factor × Area of slab acting on column B1 = 3.0 kN/m3 (1.5m × 1m) = 4.5 kN
Slab 4 (Toilet 3)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Total Live Load of Ground Floor Level
= 4.5 kN + 3.3 kN = 7.8 kN
Total Live Load from roof to foundation of column B1 = 1.58 kN + 5.55 kN+ 7.8 kN = 14.93 kN
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load acting on column B1 = 122.11 kN × 1.4 = 170.95 kN Live Load acting on column B1
= 14.93 kN × 1.6 = 23.89 kN
Ultimate Load
= 170.95 kN + 23.89kN = 194.84 kN
The Total Load acting on column B1 is 194.84 kN.
Colum B2 DEAD LOAD Roof Level Slab: Assume slab self-weight on roof = 1.0 kN/m3 Area of slab acting on column B1 = (1.5 m × 1m) + (1.65 m × 1m) + (1.65 m × 1m) + (1.65 m × 1m) = 11.03 m2 Column Dead Load for Roof Slab = 1.0 kN/m2 × 11.025 m2 = 11.025 kN Beam: Assume beam self-weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Beam
= 1.08 kN/m × (1.5m + 1m + 1.65m + 2.5m) = 1.08 kN/m × 6.65m = 7.18 kN
Total Dead Load of Roof
= 11.03 kN + 7.18 kN = 18.21 kN
1st Floor Level Slab 2 (Family Room)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.5m × 1m) = 5.4 kN
Slab 3 (Family Room)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.5m × 2.5m) = 13.5 kN
Slab 4 (Toilet 4)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Slab 5 (Bedroom 2)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 2.5m) = 14.85 kN
Beam
= 1.08 kN/m × (1.5m + 1m + 1.65m + 2.5m)
= 7.18 kN Brickwall Dead Load
= 9.98 kN/m × (2.5m + 1m + 1.65m) = 51.4 kN
Total Dead Load of 1ST Floor Level
Ground Floor Level Slab 2 (Wet Kitchen)
= 5.4 kN + 13.5 kN + 5.94 kN+ 14.85 kN + 7.18 kN+ 51.4 kN = 98.27 kN
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.5m × 1m) = 5.4 kN
Slab 3 (Family Room)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.5m × 2.5m) = 13.5 kN
Slab 4 (Toilet 3)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Slab 5 (Bedroom 3)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 2.5m) = 14.85 kN
Beam
= 1.08 kN/m × (1.5m + 1m + 1.65m + 2.5m) = 7.18 kN
Brickwall
= 9.98 kN/m × (1.5m + 1m + 1.65m+ 1.5m) = 66.38 kN
Total Dead Load of 1ST Floor Level
= 5.4 kN + 13.5 kN+ 5.94 kN + 14.85 kN+ 7.18 kN+ 66.38 kN = 113.25 kN
Total Dead Load from roof to foundation of column B1 = 18.21 kN + 98.27 kN+ 113.25 kN = 229.73 kN
LIVE LOAD Live Load on Roof Level Roof Total Live Load of Roof Level
= 0.5 kN/m2 × 11.025M2 = 5.5 kN
Live Load on First Floor Level Slab 2 (Family Room)
= Live Load Factor × Area of slab acting on column B1 = 1.5 kN/m3 (1.5m × 1m) = 2.25 kN
Slab 3 (Family Room)
= Live Load Factor × Area of slab acting on column B1 = 1.5 kN/m3 (1.5m × 2.5m) = 5.63 kN
Slab 4 (Toilet 4)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Slab 5 (Bedroom 2)
= Live Load Factor × Area of slab acting on column B1 = 1.5 kN/m3 (1.65m × 2.5m) = 6.19 kN
Total Live Load of 1ST Floor Level
= 2.25 kN + 5.63 kN + 3.3 kN + 6.19 kN = 17.37 kN
Live Load on Ground Floor Level Slab 2 (Wet Kitchen)
= Live Load Factor × Area of slab acting on column B1 = 3.0 kN/m3 (1.5m × 1m) = 4.5 kN
Slab 3 (Enclosed Kitchen) = Live Load Factor × Area of slab acting on column B1 = 3.0 kN/m3 (1.5m × 2.5m) = 11.25 kN Slab 4 (Toilet 3)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Slab 5 (Bedroom 3)
= Live Load Factor × Area of slab acting on column B1 = 1.5 kN/m3 (1.65m × 2.5m) = 6.19 kN
Total Live Load of Ground Floor Level = 4.5 kN + 11.25 kN + 3.3 kN + 6.19 kN = 25.24 kN Total Live Load from roof to foundation of column B1 = 5.5 kN + 17.37 kN+ 25.24 kN = 48.11 kN
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load acting on column B1 = 229.73 kN × 1.4 = 321.62 kN Live Load acting on column B1
= 48.11 kN × 1.6 = 76.98 kN
Ultimate Load
= 321.62 kN + 76.98 kN = 398.6 kN
The Total Load acting on column B1 is 398.6 kN.
Colum A2 DEAD LOAD Roof Level Slab: Assume slab self-weight on roof = 1.0 kN/m3 Area of slab acting on column B1 = (2.5 m × 1.65 m) + (1.65 m × 1m) = 5.775 m2 Column Dead Load for Roof Slab = 1.0 kN/m2 × 5.775 m2 = 5.76 kN Beam: Assume beam self-weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Beam
= 1.08 kN/m × (2.5m + 1m + 1.65m) = 5.56 kN
Total Dead Load of Roof
= 5.76 kN + 5.56 kN = 11.32 kN
1st Floor Level Slab 4 (Toilet 4)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Slab 5 (Bedroom 2)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 2.5m) = 14.85 kN
Beam
= 1.08 kN/m × (2.5m + 1m + 1.65m) = 5.56 kN
Brickwall
= 9.98 kN/m × (2.5m + 1m + 1.65m) = 51.4 kN
Total Dead Load of 1ST Floor Level
Ground Floor Level
= 5.94 kN + 14.85 kN+ 5.56 kN+ 51.4 kN = 77.75 kN
Slab 4 (Toilet 3)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Slab 5 (Bedroom 2)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 2.5m) = 14.85 kN
Beam
= 1.08 kN/m × (2.5m + 1m + 1.65m) = 5.56 kN
Brickwall
= 9.98 kN/m × (2.5m + 1m + 1.65m) = 51.4 kN
Total Dead Load of Ground Floor Level = 5.94 kN + 14.85 kN+ 5.56 kN+ 51.4 kN = 77.75 kN Total Dead Load from roof to foundation of column B1 = 11.32 kN + 77.75 kN+ 77.75 kN = 166.82 kN
LIVE LOAD Live Load on Roof Level Roof Total Live Load of Roof Level
= 0.5 kN/m2 × 5.775 m2 = 2.89 kN
Live Load on First Floor Level Slab 4 (Toilet 4)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Slab 5 (Bedroom 2)
= Live Load Factor × Area of slab acting on column B1 = 1.5 kN/m3 (1.65m × 2.5m) = 6.19 kN
Total Live Load of 1ST Floor Level
= 3.3 kN + 6.19 kN = 9.49 kN
Live Load on Ground Floor Level Slab 4 (Toilet 3)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Slab 5 (Bedroom 3)
= Live Load Factor × Area of slab acting on column B1 = 1.5 kN/m3 (1.65m × 2.5m) = 6.19 kN
Total Live Load of Ground Floor Level
= 3.3 kN + 6.19 kN = 9.49 kN
Total Live Load from roof to foundation of column B1 = 2.89 kN + 9.49 kN+ 9.49 kN = 21.87 kN
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load acting on column B1 = 166.82 kN × 1.4 = 233.55 kN Live Load acting on column B1
= 21.87 kN × 1.6 = 34.99kN
Ultimate Load
= 233.55 kN + 34.99 kN = 268.54 kN
The Total Load acting on column B1 is 268.54 kN.
Colum A1 DEAD LOAD Roof Level Slab: Assume slab self-weight on roof = 1.0 kN/m3 Area of slab acting on column B1 = (1.0 m × 1.65 m) = 1.65 m2 Column Dead Load for Roof Slab = 1.0 kN/m2 × 1.65 m2 = 1.65 kN Beam: Assume beam self-weight
= 24 kN/m3 × (0.15 × 0.3) m2 = 1.08 kN/m
Beam
= 1.08 kN/m × (1m + 1.65m) = 2.86 kN
Total Dead Load of Roof
= 1.65 kN + 2.86 kN = 4.51 kN
1st Floor Level Slab 4 (Toilet 4)
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Beam
= 1.08 kN/m × (1m + 1.65m) = 2.86 kN
Brickwall
= 9.98 kN/m × (1m + 1.65m) = 26.44 kN
Total Dead Load of 1ST Floor Level
Ground Floor Level Slab 4 (Toilet 3)
= 5.94 kN + 2.86 kN + 26.44 kN = 35.24 kN
= Slab Self Weight × Area of slab acting on column B1 = 3.6 kN/m3 (1.65m × 1m) = 5.94 kN
Beam
= 1.08 kN/m × (1m + 1.65m) = 2.86 kN
Brickwall
= 9.98 kN/m × (1m + 1.65m) = 26.44kN
Total Dead Load of Ground Floor Level = 5.94 kN + 2.86 kN + 26.44 kN = 35.24 kN Total Dead Load from roof to foundation of column B1 = 4.51 kN + 35.24 kN+ 35.24 kN = 74.99 kN
LIVE LOAD Live Load on Roof Level Roof Total Live Load of Roof Level
= 0.5 kN/m2 × 1.65 m2 = 0.83 kN
Live Load on First Floor Level Slab 4 (Toilet 4)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Total Live Load of 1ST Floor Level = 3.3 kN Live Load on Ground Floor Level Slab 4 (Toilet 3)
= Live Load Factor × Area of slab acting on column B1 = 2.0 kN/m3 (1.65m × 1m) = 3.3 kN
Total Live Load of Ground Floor Level = 3.3 kN
Total Live Load from roof to foundation of column B1 = 0.83kN + 3.3 kN+ 3.3 kN = 7.43 kN
ULTIMATE LOAD Apply factor 1.4 and 1.6 to dead load and live load respectively. Dead Load acting on column B1 = 74.99 kN × 1.4 = 104.99 kN Live Load acting on column B1
= 7.43kN × 1.6 = 11.89 kN
Ultimate Load
= 104.99 kN + 11.89 kN = 116.88 kN
The Total Load acting on column B1 is 116.88 kN.