BUILDING STRUCTURE REPORT PROJECT 2

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.