IDENTIFICATION OF ONE WAY OR TWO WAY SLAB
= 2800 / 500
LY = Longer Side of Slab
First Floor Plan
Lx = Shorter side of Slab
Bedroom 1
When Ly / Lx ≼ 2, Slab is One Way
= (2800 + 1000 + 1700) / 2500
When Ly / Lx < 2, Slab is 2 Way
= 2.20 (One Way Slab)
Ground Floor Plan
Bedroom 2
Library 1 = (1300 + 2500 + 700) / (2800 + 1000) = 1.18 (Two Way Slab) Library 2 = 1300 / 998 = 1.25 (Two Way Slab) Storage 1 = (1300 + 1500 + 1000) / 2800 =1.33 (Two Way Slab) Storage 2 = 1300 / 1000 = 1.25 (Two Way Slab) Storage 3 = (1300 + 1500) / 998 = 2.5 (One Way Slab) Entertainment Room 1 = (2800 + 1700) / (2500 + 1300) = 1.24 (Two Way Slab) Entertainment Room 2
= 4.29 (One way Slab)
= (2800 + 1000 + 1700) / 1300 = 4.23 (One Way Slab) Bedroom 3 = 1300 / 998 = 1.30 (Two Way Slab) Closet 1 = (2500 + 1300) / 2800 = 1.36 (Two Way Slab) Closet 2 = 2800 / 500 = 4.29 (One Way Slab) Bathroom 1 = (700 + 1300 + 1500 + 1000) / 2800 = 1.60 (Two Way Slab) Bathroom 2 = (2800 + 1300) / 1000 = 4.10 (One Way Slab) Bathroom 3 = (1300 + 700) / 1000 = 2.00 (One Way Slab)
Storage 1 2 Storage 3 Library 1 Library 2 Entertainment room 1 Entertainment room 2
GROUND FLOOR PLAN Bathroom 1 Bathroom 2 Bathroom 3 Bedroom 1 Bedroom 2 Bedroom 3 Closet 1 Closet 2
FIRST FLOOR PLAN
Quantify Dead Loads Acting On Structure
GROUND FLOOR PLAN
Ground Floor Library: Slab Thickness = 150mm
Bathroom: Slab Thickness = 150mm
Slab Self Weight = 0.15 × 24kN/m ³ = 3.6kN/m ²
Entertainment Room: Slab Thickness = 150mm Slab Self Weight = 0.15 × 24kN/m ³ = 3.6kN/m ²
Slab Self Weight = 0.15 × 24kN/m ³ = 3.6kN/m ²
Closet: Slab Thickness = 150mm Slab Self Weight = 0.15 × 24kN/m ³ = 3.6kN/m ²
Storage Room: Slab Thickness = 150mm Slab Self Weight = 0.15 × 24kN/m ³ = 3.6kN/m ²
First Floor Bedroom: Slab Thickness = 150mm Slab Self Weight = 0.15 × 24kN/m ³ = 3.6kN/m ²
FIRST FLOOR PLAN
= 11.2m² × 1.4 = 1.5kN/m ²
First Floor Bedroom: = (5.5 × 3.8) + (1 × 1.3) = 22.2m ²
Quantify Live Loads Acting On Structure Ground Floor
= 3.0kN/m ²
Bathroom:
Library: = (3.8 × 4.5) + (1 × 1.3) = 18.4m ²
= (2.8 × 4.5) + (1 × 2) + (1 × 2.8)
× 1.4
= 17.4m ²
= 2.5kN/m ²
× 1.4
= 2.0kN/m ² Closet:
Entertainment Room:
= 4.3 × 2.8
= 4.5 × 3.8 = 17.1m ²
× 1.4
× 1.4
= 2.0kN/m ²
Storage Room: = (1.0 × 2.8) + (2.8 × 3.8) + (1 × 1.8)
= 12.04m ²
× 1.4
= 1.5kN/m ²
Brick Wall (Ground Floor) = Wall Height × Thickness × Density
= 4.0m × 0.2 × 19kN/m ³
7. Ultimate Load 8. Reactions
= 15.2kN/m
1. SELF WEIGHT OF BEAM ( Dead
Brick Wall (First Floor)
Load)
= Wall Height × Thickness ×
Beam Self Weight
Density
= Beam Size × Concrete Density
= 4.0m × 0.2 × 19kN/m ³
= 0.2m × 0.45m × 24kN/m
= 15.2kN/m ³
Beam Self Weight
= 2.16kN/m
= Beam Size × Concrete Density = 0.2m × 0.45m × 24kN/m ³
2. SLAB WEIGHT ( Dead Load)
Slab Thickness = 2.16kN/m
= 150mm Slab Self Weight
BEAM ANALYSIS CALCULATION FIRST FLOOR Beam 2 B -D 1. Self-Weight (Dead Load) 2. Slab Weight (Dead Load)
= 0.15 × 24kN/m ³ = 3.6kN/m ²
Load transferred to Slab 2-3 A-E in a Trapezoidal Form Dead load from slab 2 -3 A – E
3. Brick Wall (Dead Load)
= Dead load on Slab
×
4. Total Dead Load
= 3.6kN/m ²
(2.8/2)m
5. Slab Load (Live Load)
= 5.04 kN / m
6. Total Live Load
×
(Lx / 2)m
Load transferred to beam 1-2 B-D in a UDL Form Dead load from slab 1 -2 B – D = Dead load on Slab
×
= 3.6kN/m ²
(0.998/2)m
×
(Lx / 2)m
= 0.18 kN / m
3.
Brick Wall (Ground Floor) = Wall Height × Thickness × Density = 4.0m × 0.2 × 19kN/m ³ = 15.2kN/m
4.
Total Dead Load Total Dead Load For Beam 2 B –D
= Beam Self Weight + Brick Wall Weight + [slab (2 -3 A – E) + (1 -2 B – D)] = 2.16kN/m + 15.2kN/m + 1.8 kN /m + 5.04 kN /m =24.2 kN/m
Total Dead Load Diagram
5. Live Load
= [slab (2 -3 A – E) + (1 -2 B – D)]
of Slab
= (2.8 + 1.0) kN/ m =3.8 kN/ m
Live load from Slab = (2.8 × 4.5) + (1 × 2) + (1 × 2.8) = 17.4m ²
× 1.4
Total Live Load Diagram
= 2.0kN/m ²
Live Load transferred from Slab 2-3 A - E in a Trapezoidal Form Load is transferred to Beam 2 B – D =Live load on Slab = 2.0 kN/ m2
×
× (L / 2) m x (2.8 / 2) m
= 2.8 kN/m
Live Load transferred from Slab 1-2 B - D in a UDL Form Load is transferred to Beam 2 B – D =Live load on Slab = 2.0 kN/ m2
×
× (L / 2) m x (0.998 / 2) m
= 1.0 kN/m
6.
Total Live Load Total Dead Load For Beam 2 B –D
7. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively
Dead Load 2 B – D = 24.2 kN/ m
× 1.4
= 33.9 kN/ m
Live Load 2 B – D = 3.8 kN/ m × 1.6 = 6.1 kN/ m
Ultimate load of 2 B –D = 33.9 kN/ m + 6.08 kN/ m = 40 kN/ m
Ultimate Load Diagram
8.
Reaction
BEAM ANALYSIS CALCULATION FIRST FLOOR Beam 3 C -E 1. Self-Weight (Dead Load) 2. Slab Weight (Dead Load)
= 0.15 × 24kN/m ³ = 3.6kN/m ²
Load transferred to Slab 2-3 A-E in a Trapezoidal Form Dead load from slab 2 -3 A – E
3. Brick Wall (Dead Load) 4. Total Dead Load
= Dead load on Slab
×
5. Slab Load (Live Load)
= 3.6kN/m ²
(2.8/2)m
6. Total Live Load
= 5.04 kN / m
×
(Lx / 2)m
7. Ultimate Load 8. Reactions
1. SELF WEIGHT OF BEAM ( Dead
Load transferred to beam 3 C -E in a UDL Form
Load)
Dead load from slab 3 -4 C – D
Beam Self Weight
= Dead load on Slab
×
= Beam Size × Concrete Density
= 3.6kN/m ²
(1.0/2)m
= 0.2m × 0.45m × 24kN/m
= 1.8 kN / m
×
(Lx / 2)m
³
= 2.16kN/m
3.
Brick Wall (Ground Floor) = Wall Height × Thickness × Density
2. SLAB WEIGHT ( Dead Load)
= 4.0m × 0.2 × 19kN/m ³ = 15.2kN/m
Slab Thickness = 150mm Slab Self Weight
4.
Total Dead Load Total Dead Load For Beam 2 B –D
= Beam Self Weight + Brick Wall Weight + [slab (2 -3 A – E) + (1 -2 B – D)] = 2.16kN/m + 15.2kN/m + 1.8kN /m + 5.04 kN /m =24.2 kN/m
Total Dead Load Diagram
5. Live Load
of Slab
Live load from Slab = (2.8 × 4.5) + (1 × 2) + (1 × 2.8) = 17.4m ²
× 1.4
Total Live Load Diagram
= 2.0kN/m ²
Live Load transferred from Slab 2-3 A - E in a Trapezoidal Form Load is transferred to Beam 2 B – D =Live load on Slab = 2.0 kN/ m2
×
× (L / 2) m x
(2.8 / 2) m
= 2.8 kN/m
Live Load transferred from Slab 3 - 4 C - D in a UDL Form Load is transferred to Beam 2 B – D =Live load on Slab = 2.0 kN/ m2
×
× (L / 2) m x
(1.0 / 2) m
= 1.0 kN/m
6.
Total Live Load Total Dead Load For Beam 2 B –D = [slab (2 -3 A – E) + (1 -2 B – D)] = (2.8 + 1.0) kN/ m =3.8 kN/ m
7. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively
Dead Load 3 C - D = 24.2 kN/ m
× 1.4
= 33.9 kN/ m
Live Load 3 C - D = 3.8 kN/ m × 1.6 = 6.1 kN/ m
Ultimate load of 3 C - D = 33.9 kN/ m + 6.08 kN/ m = 40 kN/ m
Ultimate Load Diagram
8.
Reaction
BEAM ANALYSIS CALCULATION FIRST FLOOR Beam 1 – 5 F 1. Self-Weight (Dead Load) 2. Slab Weight (Dead Load) 3. Brick Wall (Dead Load)
= 0.15 × 24kN/m ³ = 3.6kN/m ²
Load transferred to Slab 25 E - F in a UDL Dead load from slab 2 - 5 E - F
4. Total Dead Load
= Dead load on Slab
×
5. Slab Load (Live Load)
= 3.6kN/m ²
(2.5/2)m
6. Total Live Load
= 6.3 kN / m
×
(Lx / 2)m
7. Ultimate Load 8. Reactions
1. SELF WEIGHT OF BEAM ( Dead
Load)
Beam Self Weight = Beam Size × Concrete Density
Load transferred to beam 2 - 5 F -G in a UDL Form Dead load from slab 2 - 5 F -G = Dead load on Slab
×
= 3.6kN/m ²
(1.3/2)m
×
(Lx / 2)m
= 2.3 kN / m
= 0.2m × 0.45m × 24kN/m ³
= 2.16kN/m
Load transferred to beam 1 - 2 F -G in a Triangular Form Dead load from slab 2 - 5 F -G
2. SLAB WEIGHT ( Dead Load)
Slab Thickness = 150mm Slab Self Weight
= Dead load on Slab
×
= 3.6kN/m ²
(1.0/2)m
×
(Lx / 2)m
= 1.8 kN / m Converting triangular load to UDL by Factoring 2/3 Dead load from slab 2 - 5 F –G
= 1.8 x 2/3 = 1.2 kN/ m
3.
Brick Wall (Ground Floor) = Wall Height × Thickness × Density = 4.0m × 0.2 × 19kN/m ³ = 15.2kN/m
4.
Total Dead Load Total Dead Load For Beam 2 - 5 F = Beam Self Weight + Brick Wall Weight + [slab (2 - 5 F -G) + (2-5 E F) + (1 - 2 F –G)]
= 2.16kN/m + 15.2kN/m + 2.3 kN /m + 6.3 kN /m + 1.2 kN/ m =27.2 kN/m
Total Dead Load Diagram
5. Live Load of Slab
Live load from Slab = (5.5 × 3.8) + (1 × 1.3) = 22.2m ²
× 1.4
= 3.0kN/m ²
Live Load transferred from Slab 2 - 5 E -F in a Trapezoidal Form Load is transferred to Beam 2 - 5 E -F =Live load on Slab = 3.0 kN/ m2
×
× (L / 2) m x (2.5 / 2) m
= 3.75 kN/m
Live Load transferred from Slab 1 – 2 F - G in a Triangular Form Load is transferred to Beam 1 – 5 F =Live load on Slab = 3.0 kN/ m2
×
× (L / 2) m x (1.0 / 2) m
= 1.5 kN/m Converting triangular load to UDL by Factoring 2/3 Dead load from slab 1 – 2 F - G = 1.5 x 2/3 = 1.0 kN/ m
Live Load transferred from Slab 2 –5 F - G in a UDL Form Load is transferred to Beam 1 – 5 F
=Live load on Slab = 3.0 kN/ m2
×
× (L / 2) m x (1.3 / 2) m
= 2.0 kN/m
6.
Total Live Load Total Dead Load For Beam 2 B –D = [slab (2 - 5 E -F) + (1 – 2 F - G) + (2 –5 F – G)] = (3.5 + 1.0 + 2.0) kN/ m =6.5 kN/ m
Total Live Load Diagram
7. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively
Dead Load 1 – 5 F = 27.2 kN/ m
× 1.4
= 38.1 kN/ m
Live Load 1 – 5 F = 6.5 kN/ m × 1.6 = 10.4 kN/ m
Ultimate load of 1 – 5 F = 38.1 kN/ m +10.4 kN/ m = 48.5 kN/ m
Ultimate Load Diagram
8.
Reaction
BEAM ANALYSIS CALCULATION FIRST FLOOR Beam 6 E - G 1. Self-Weight (Dead Load) 2. Slab Weight (Dead Load) 3. Brick Wall (Dead Load) 4. Total Dead Load 5. Slab Load (Live Load) 6. Total Live Load 7. Ultimate Load 8. Reactions
1. SELF WEIGHT OF BEAM ( Dead Load)
Beam Self Weight = Beam Size × Concrete Density = 0.2m × 0.45m × 24kN/m ³ = 2.16kN/m
2. SLAB WEIGHT ( Dead Load)
Slab Thickness = 150mm Slab Self Weight = 0.15 × 24kN/m ³ = 3.6kN/m ²
Load transferred to beam 6 E - G in a UDL
Dead load from slab 5 -6 E - G = Dead load on Slab
×
= 3.6kN/m ²
(2.8/2)m
×
(Lx / 2)m
= 5.0 kN / m
3.
Brick Wall (Ground Floor) = Wall Height × Thickness × Density = 4.0m × 0.2 × 19kN/m ³ = 15.2kN/m
4.
Total Dead Load Total Dead Load For Beam 2 - 5 F = Beam Self Weight + Brick Wall Weight + slab (5 -6 E - G) = 2.16kN/m + 15.2kN/m + 5.0 kN /m =22.36 kN/m
Total Dead Load Diagram
5. Live Load of Slab
Live load from Slab = 4.3 × 2.8 = 12.04m ²
× 1.4
= 1.5kN/m ²
Live Load transferred to Beam 6 E - H in a UDL Form Load is transferred from slab 5 – 6 E - G =Live load on Slab = 1.5 kN/ m2
×
× (L / 2) m x (2.8 / 2) m
= 2.1 kN/m
6.
Total Live Load Total Dead Load For Beam 2 B –D = [slab (5 – 6 E - G) =2.1 kN/ m
Total Live Load Diagram
7. Ultimate Load
Apply factor 1.4 and 1.6 to dead load and live load respectively
Dead Load 6 E - H = 22.36 kN/ m
× 1.4
= 31.3 kN/ m
Live Load 6 E - H = 2.1 kN/ m × 1.6 = 3.4 kN/ m
Ultimate load of 6 E - H = 31.3 kN/ m +3.4 kN/ m = 34.7 kN/ m
Ultimate Load Diagram
8.
Reaction