TABLE OF CONTENTS TABLE OF CONTENTS 01
INTRODUCTION
2
02
ARCHITECTURAL DRAWINGS
3
02.1
GROUND FLOOR PLAN
4
02.2
FIRST FLOOR PLAN
5
02.3
ROOF PLAN
6
03
STRUCTURAL PLANS
7
03.1
FOUNDATION PLAN
8
03.2
GROUND FLOOR STRUCTURAL PLAN
9
03.3
FIRST FLOOR STRUCTURAL PLAN
10
03.4
ROOF STRUCTURAL PLAN
11
04
DESIGN BRIEF
12
05
LOAD DISTRIBUTION DIAGRAM
16
05.1
GROUND FLOOR PLAN
16
05.2
FIRST FLOOR PLAN
17
TRIBUTARY AREA DIAGRAM
18
06.1
GROUND FLOOR PLAN
18
06.2
FIRST FLOOR PLAN
19
06.3
ROOF PLAN
20
07
INDIVIDUAL COMPONENT
21
08
BEAM AND COLUMN ANALYSIS
22
06
08.1
AIDA JUNITA
08.2
BRIDGET TAN
08.3
KHOR YEN MIN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
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TABLE OF CONTENTS 01
INTRODUCTION
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
2
TABLE OF CONTENTS
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
3
TABLE OF CONTENTS 02
ARCHITECTURAL DRAWINGS 02.1
GROUND FLOOR PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
4
TABLE OF CONTENTS 02.2
FIRST FLOOR PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
5
TABLE OF CONTENTS 02.3
ROOF PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
6
TABLE OF CONTENTS
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
7
TABLE OF CONTENTS 03
STRUCTURAL PLANS 03.1
FOUNDATION PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
8
TABLE OF CONTENTS 03.2
GROUND FLOOR STRUCTURAL PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
9
TABLE OF CONTENTS 03.3
FIRST FLOOR STRUCTURAL PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
10
TABLE OF CONTENTS 03.4
ROOF STRUCTURAL PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
11
TABLE OF CONTENTS
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
12
TABLE OF CONTENTS 04
DESIGN BRIEF
Structural Members Specifications
Density of Material
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
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TABLE OF CONTENTS Live Load Assumed
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
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TABLE OF CONTENTS Quantify Dead Loads Acting On Structure
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
15
TABLE OF CONTENTS 05
LOAD DISTRIBUTION DIAGRAM 05.1
ground floor PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
16
TABLE OF CONTENTS 05.2
FIRST floor PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
17
TABLE OF CONTENTS 06
TRIBUTARY AREA DIAGRAM 06.1
ground floor PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
18
TABLE OF CONTENTS 06.2
FIRST floor PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
19
TABLE OF CONTENTS 06.3
ROOF PLAN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
20
TABLE OF CONTENTS 07
INDIVIDUAL COMPONENT 07.1 GROUND FLOOR PLAN (BEAM)
07.2 FIRST FLOOR PLAN (BEAM)
07.3 GROUND FLOOR PLAN (COLUMN)
07.4 FIRST FLOOR PLAN (COLUMN)
07.5 ROOF PLAN (COLUMN)
AIDA JUNITA BRIDGET TAN KHOR YEN MIN
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
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TABLE OF CONTENTS
BLD 61003 BUILDING STRUCTURES STRUCTURAL ANALYSIS OF A BUNGALOW Report
23
BEAM A-B/3 (Secondary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab B (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (3/2 m/2) x (2/3) = 3.6 kN/m Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 3.6)(1.4) = 19.03 kN/m LIVE LOAD Live load from Slab B (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 2.5 kN/m^2 x (3/2 m/2) x (2/3) = 2.5 kN/m Ultimate live load (Total live load x 1.6 factor) = (2.5)(1.6) = 3.2 kN/m Beam UDL (Total dead load + total live load) = (19.03 + 3.2) = 22.23 kN/m Point load = (UDL x Length of beam) / 2 = (22.23 kN/m x 3 m) /2 = 66.69/2 = 33.35 kN
BEAM B/2-5 (Primary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab A (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (3/2 m/2) = 5.4 kN/m Dead load from Slab C (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (5.55/2 m/2) = 9.99 kN/m LIVE LOAD Live load from Slab A (2 way slab) = Live load on slab x (Lx/2) = 2.5 kN/m^2 x (3/2 m/2) = 3.75 kN/m Live load from Slab C (2 way slab) = Live load on slab x (Lx/2) = 3 kN/m^2 x (5.55/2 m/2) = 8.33 kN/m PART 1 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 9.99)(1.4) = 27.97 kN/m Ultimate live load (Total live load x 1.6 factor) = (8.33)(1.6) = 13.33 kN/m Beam UDL and Point Load (Total dead load + total live load)
= (27.97 + 13.33) = 41.3 kN/m Point load = (UDL x Length of beam) = 41.3 kN/m x 2 m = 82.6 kN PART 2 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 5.4 + 9.99)(1.4) = 35.53 kN/m Ultimate live load (Total live load x 1.6 factor) = (3.75 + 8.33)(1.6) = 19.33 kN/m (Total dead load + total live load) = (35.53 + 19.33) = 54.86 kN/m Point load = (UDL x Length of beam) = 54.86 kN/m x 4 m = 219.44 kN Point load from secondary beam* F3 = 33.35 kN
Ultimate Load Diagram
Reaction Force ΣM5 =0 0 = R2y (6) + [(-82.6)(5)] + [(-33.35)(4)] + [(-219.44)(2)] 6R2y = 985.26 R2y = 164.21 kN ΣFy 0 R5y
=0 = 164.21 – 82.6 – 33.35 – 219.44 + R5y = 171.18 kN
Shear Force Diagram 1) 164.21 - (41.3 x 21) = 81.61 kN 2) 81.61 - 33.35 = 48.26 kN 3) 48.26 – (54.86 x 4) = -171.18 kN
Bending Moment Diagram Area A 1/2 x (164.21 + 21.23) X 2 = 245.82 m^2 Value of X X/4 = 48.26/(48.26 + 171.18) X = 0.88 Area B 1/2 x 0.88 x 48.26 = 21.23 m^2 Area C 1/2 x (4-0.88) x 171.18 = 267.04 m^2
Conclusion Area A + B = 267.05 m^2 Area C = 267.05 m^2
BEAM B/2-5 (Secondary Beam) Continue from question 1* Point load from question 1* R5y = 171.18 kN
BEAM A-C/5 (Primary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab D (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (3/2 m/2) x (2/3) = 3.6 kN/m Dead load from Slab E (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (5.55/2 m/2) x (2/3) = 6.66 kN/m Dead load from Slab F (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (2.625/2 m/2) = 4.725 kN/m LIVE LOAD Live load from Slab D (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 2.5 kN/m^2 x (3/2 m/2) x (2/3) = 2.5 kN/m Live load from Slab E (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (5.55/2 m/2) x (2/3) = 5.55 kN/m
Live load from Slab F (2 way slab) = Live load on slab x (Lx/2) = 2 kN/m^2 x (2.625/2 m/2) = 5.55 kN/m PART 1 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 3.6 + 4.725)(1.4) = 25.64 kN/m Ultimate live load (Total live load x 1.6 factor) = (2.5 + 2.625)(1.6) = 8.2 kN/m Beam UDL and Point Load (Total dead load + total live load) = (25.64 + 8.2) = 33.84 kN/m Point load = (UDL x Length of beam) = 33.84 kN/m x 3 m = 101.52 kN PART 2 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 6.66 + 4.725)(1.4) = 29.925 kN/m Ultimate live load (Total live load x 1.6 factor) = (5.55+ 8.175)(1.6) = 13.08 kN/m (Total dead load + total live load) = (29.925 + 13.08) = 43.01 kN/m Point load = (UDL x Length of beam) = 43.01 kN/m x 2 m = 86.02 kN
Ultimate Load Diagram
Reaction Force ΣMc =0 0 = RAy (5) + [(-101.52)(3.5)] + [(-171.18)(2)] + [(-86.02)(1)] 5RAy = 783.7 RAy = 156.74 kN ΣFy 0 RBy
=0 = 156.74 – 101.52 – 171.18 – 86.02 + RBy = 201.98 kN
Shear Force Diagram 1) 156.74 - (33.87 x 3) = 55.22 kN 2) 55.22- 171.18 = -115.96 kN 3) -115.96 – (43.01 x 2) = -201.98 kN
Bending Moment Diagram Area A 1/2 x (156.74 + 55.22) x 3 = 317.94 m^2 Area B 1/2 x (115.96 + 201.98) x 2 = 317.94 m^2 Conclusion Area A = 317.94 m^2 Area B = 317.94 m^2
BEAM C1-D/3A (Secondary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab A (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (2.15/2 m/2) x (2/3) = 2.58 kN/m Dead load from Slab B (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (2.15/2 m/2) x (2/3) = 2.58 kN/m Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 2.58 + 2.58)(1.4) = 21.21 kN/m LIVE LOAD Live load from Slab A (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (2.15/2) m/2 x (2/3) = 2.15 kN/m Live load from Slab B (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (2.15/2) m/2 x (2/3) = 2.15 kN/m Ultimate live load (Total live load x 1.6 factor) = (2.15 + 2.15)(1.6) = 6.88 kN/m Beam UDL (Total dead load + total live load) = (21.21 + 6.88) = 28.1 kN/m
Point load = (UDL x Length of beam) / 2 = (28.1 kN/m x 2.15 m) /2 = 60.42/2 = 30.21 kN
BEAM C1/2-5 (Primary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab C (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (2.15/2 m/2) = 3.87 kN/m Dead load from Slab D (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (2.15/2 m/2) = 3.87 kN/m Dead load from Slab E (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (5.55/2 m/2) = 10 kN/m LIVE LOAD Live load from Slab C (2 way slab) = Live load on slab x (Lx/2) = 3 kN/m^2 x (2.15/2 m/2) = 3.23 kN/m Live load from Slab D (2 way slab) = Live load on slab x (Lx/2) = 3 kN/m^2 x (2.15/2 m/2) = 3.23 kN/m Live load from Slab E (2 way slab) = Live load on slab x (Lx/2) = 3 kN/m^2 x (5.55/2 m/2) = 8.33 kN/m
PART 1 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 3.87 + 10)(1.4) = 15.31 kN/m Ultimate live load (Total live load x 1.6 factor) = (8.33 + 3.23)(1.6) = 11.56 kN/m Beam UDL and Point Load (Total dead load + total live load) = (21.43 + 18.5) = 39.93 kN/m Point load = (UDL x Length of beam) = 39.93 kN/m x 3 m = 119.79 kN PART 2 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 3.87 + 10)(1.4) = 23.86 kN/m Ultimate live load (Total live load x 1.6 factor) = (8.33 + 3.23)(1.6) = 11.56 kN/m (Total dead load + total live load) = (33.4 + 18.5) = 51.9 kN/m Point load = (UDL x Length of beam) = 51.9 kN/m x 3 m = 155.7 kN Point load from secondary beam* F3 = 30.21 kN
Ultimate Load Diagram
Reaction Force ΣM5 =0 0 = R2y (6) + [(-119.79)(4.5)] + [(-30.21)(3)] + [(-155.7)(1.5)] 6R2y = 863.22 R2y = 143.87 kN ΣFy 0 R5y
=0 = 143.87 - 119.79 – 30.21 – 155.7 + R5y = 161.83 kN
Shear Force Diagram 1) 143.87 - (39.93 x 3) = 24.08 kN 2) 24.08 – 30.21 = -6.13 kN 3) -6.13 – (51.9 x 3) = -161.83 kN
Bending Moment Diagram Area A 1/2 x (143.87 + 24.08) X 3 = 251.93 m^2 Area B 1/2 x (6.13 + 161.83) X 3 = 251.93 m^2 Conclusion Area A = 251.93 m^2 Area B = 251.93 m^2
BEAM B/2-5 (Secondary Beam) Continue from question 3* Point load from question 3* R2y = 143.87 kN
BEAM C/1-2 (Secondary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight =0 Dead load from Slab A (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (2/2 m/2) = 2.4 kN/m Dead load from Slab B (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (4/2 m/2) x (2/3) = 4.8 kN/m Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 2.4 + 4.8)(1.4) = 12.1 kN/m LIVE LOAD Live load from Slab A (2 way slab) = Live load on slab x (Lx/2) = 3 kN/m^2 x (2/2 m/2) = 3 kN/m Live load from Slab B (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (4/2 m/2) x (2/3) = 4 kN/m Ultimate live load (Total live load x 1.6 factor) = (3 + 4)(1.6) = 11.2 kN/m
Beam UDL (Total dead load + total live load) = (12.1 + 11.2) = 23.3 kN/m Point load = (UDL x Length of beam) / 2 = (23.3 kN/m x 2 m) /2 = 46.6/2 = 23.3 kN
BEAM C1/2-5 (Primary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab C (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (2/2 m/2) x (2/3) = 2.4 kN/m Dead load from Slab D (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (4/2 m/2) = 7.2 kN/m Dead load from Slab E (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (5.5/2 m/2) x (2/3) = 6.6 kN/m Dead load from Slab F (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (2.15/2 m/2) x (2/3) = 2.58 kN/m LIVE LOAD Live load from Slab C (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (2/2 m/2) x (2/3) = 2 kN/m Live load from Slab D (2 way slab) = Live load on slab x (Lx/2) = 3 kN/m^2 x (2/2 m/2) = 3 kN/m Live load from Slab E (2 way slab)
= Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (5.55/2 m/2) x (2/3) = 5.55 kN/m Live load from Slab F (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (2.15/2 m/2) x (2/3) = 2.15 kN/m PART 1 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 2.4 + 6.6)(1.4) = 26.59 kN/m Ultimate live load (Total live load x 1.6 factor) = (2 + 5.55)(1.6) = 12.08 kN/m Beam UDL and Point Load (Total dead load + total live load) = (26.59 + 12.08) = 38.67 kN/m Point load = (UDL x Length of beam) = 38.67 kN/m x 2 m = 77.34 kN PART 2 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 7.2 + 6.6)(1.4) = 33.31 kN/m Ultimate live load (Total live load x 1.6 factor) = (3 + 5.55)(1.6) = 13.68 kN/m Beam UDL and Point Load (Total dead load + total live load) = (33.31 + 13.68) = 46.99 kN/m Point load = (UDL x Length of beam) = 46.99 kN/m x 3.55 m
= 166.81 kN PART 3 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 7.2 + 2.58)(1.4) = 27.68 kN/m Ultimate live load (Total live load x 1.6 factor) = (3 + 2.15)(1.6) = 8.24 kN/m (Total dead load + total live load) = (27.68 + 8.24) = 35.92 kN/m Point load = (UDL x Length of beam) = 35.92 kN/m x 2.15 m = 77.228 kN Point load from secondary beam* F3 = 23.3 kN R2y = 143.87 kN
Ultimate Load Diagram
Reaction Force ΣMB =0 0 = RBy (7.7) + [(-77.34)(6.7)] + [(-23.3)(5.7)] + [(-166.81)(3.925)] + [(-143.87)(2.15)] + [(-77.228)(1.075)] 7.7R2y = 1698.081 R2y = 220.53 kN ΣFy 0 RDy
=0 = 220.53 – 77.34 – 23.3 – 166.81 – 143.87 – 77.228 + RDy = 268.018 kN
Shear Force Diagram 1) 220.53 - (38.67 x 3) = 143.19 kN 2) 143.19 – 23.3 = 119.89 kN 3 119.89 – (46.99 x 3.55) = -46.92 kN 4) -46.92 – 143.87 = -190.79kN 5) -190.79 – (35.92 x 2.15) = -268.018 kN
Bending Moment Diagram Area A 1/2 x (220.53 + 143.19) x 2 = 363.72 m^2 Value of X X/3.55 = 119.89(119.89 + 46.92) X = 2.55 Area B 1/2 x 2.55 x 119.89 = 152.95 m^2
Area C 1/2 x (190.79 + 268.018) x 2.15 = 493.22 m^2 Value of Y Y/3.55 = 46.92(46.92 + 119.89) Y = 2.55 Conclusion Area A + B = 516.67 m^2 Area C = 516.67 m^2
BEAM D-E/5 (Secondary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab A (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (1.3/2 m/2) = 2.34 kN/m Dead load from Slab B (1 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (2.625/2 m/2) = 4.725 kN/m Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 2.34 + 4.725)(1.4) = 23.88 kN/m LIVE LOAD Live load from Slab A (2 way slab) = Live load on slab x (Lx/2) = 1.5 kN/m^2 x (1.3/2 m/2) = 0.975 kN/m Live load from Slab A (1 way slab) = Live load on slab x (Lx/2) = 4 kN/m^2 x (2.625/2 m/2) = 5.25 kN/m Ultimate live load (Total live load x 1.6 factor) = (0.975 + 5.25)(1.6) = 9.96 kN/m Beam UDL (Total dead load + total live load) = (23.88 + 9.96) = 33.84 kN/m
Point load = (UDL x Length of beam) / 2 = (33.84 kN/m x 2 m) /2 = 67.68/2 = 33.84 kN
Point load from BEAM D-E/5* F5 = 33.84 kN
BEAM E/4-6 (Secondary Beam 2) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab C (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (1.3/2 m/2) x (2/3) = 1.56 kN/m LIVE LOAD Live load from Slab C (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 1.5 kN/m^2 x (1.3/2 m/2) x (2/3) = 0.975 kN/m PART 1 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 1.56)(1.4) = 16.17 kN/m Ultimate live load (Total live load x 1.6 factor) = (0.975)(1.6) = 1.56 kN/m Beam UDL and Point Load (Total dead load + total live load) = (16.17 + 1.56) = 17.73 kN/m Point load = (UDL x Length of beam)
= 17.73 kN/m x 1.3 m = 23.05 kN PART 2 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55)(1.4) = 13.986 kN/m Ultimate live load (Total live load x 1.6 factor) =0 (Total dead load + total live load) = (13.986 + 0) = 13.986 kN/m Point load = (UDL x Length of beam) = 13.986 kN/m x 2.625 m = 36.713 kN Point load from secondary beam* F5 = 33.84 kN
Ultimate Load Diagram
Reaction Force ΣM6 =0 0 = R4y (3.925) + [(-23.05)(3.275)] + [(-33.84)(2.625)] + [(-36.713)(1.3125)] 3.925 R4y = 212.5074 R4y = 54.142 kN ΣFy 0 R6y
=0 = 54.142 – 23.05 – 33.84 – 36.713+ R6y = 39.461 Kn
Shear Force Diagram 1) 54.142 - (17.73 x 1.3) = 31.092 kN 2) 31.092 – 33.84 = -2.748 kN 3) -2.748 – (13.986 x 2.625) = -39.461 kN
Bending Moment Diagram Area A 1/2 x (54.142 + 31.092) X 1.3 = 55.4 m^2 Area B 1/2 x (2.748 + 39.461) x 2.625 = 55.4 m^2 Conclusion Area A = 55.4 m^2 Area B = 55.4 m^2
Point load from BEAM E/4-6* R4y = 54.142 kN
BEAM D-F/4 (Primary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab D (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (2/2 m/2) x (2/3) = 2.4 kN/m Dead load from Slab E (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (1.3/2 m/2) = 2.05 kN/m LIVE LOAD Live load from Slab D (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 1.5 kN/m^2 x (2/2 m/2) x (2/3) = 1 kN/m Live load from Slab E (2 way slab) = Live load on slab x (Lx/2) = 1.5 kN/m^2 x (1.3/2 m/2) = 0.975 kN/m PART 1 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 2.4 + 2.05)(1.4) = 8.25 kN/m Ultimate live load (Total live load x 1.6 factor)
= (1)(1.6) = 1.6 kN/m Beam UDL and Point Load (Total dead load + total live load) = (8.25 + 1.6) = 9.25 kN/m Point load = (UDL x Length of beam) = 9.25 kN/m x 2 m = 18.5 kN PART 2 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 2.4)(1.4) = 17.35 kN/m Ultimate live load (Total live load x 1.6 factor) = (0.975 + 1)(1.6) = 3.16 kN/m (Total dead load + total live load) = (17.35 + 3.16) = 20.51 kN/m Point load = (UDL x Length of beam) = 20.51 kN/m x 2 m = 41.02 kN Point load from secondary beam* R4y = 54.142 kN
Ultimate Load Diagram
Reaction Force ΣM7 =0 0 = RDy (4) + [(-18.5)(3)] + [(-54.142)(2)] + [(-41.02)(1)] 4 RDy = 204.804 RDy = 51.201 kN ΣFy 0 RFy
=0 = 51.201 – 18.5 – 54.142 – 41.02 + RFy = 62.461 kN
Shear Force Diagram 1) 51.201 - (9.25 x 2) = 32.701 kN 2) 32.701 – 54.142 = -21.441 kN 3) -21.441 – (20.51 x 2) = -62.461 kN
Bending Moment Diagram Area A 1/2 x (51.201 + 32.701) x 2 = 83.902 m^2 Area B 1/2 x (21.441 + 62.461) x 2 = 83.902 m^2 Conclusion Area A = 83.902 m^2 Area B = 83.902 m^2
BEAM D/F-4 (Secondary Beam) Continue from question 5* Point load from question 5* RDy = 51.201 kN
BEAM C1-D/3A (Secondary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab A (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (2.15/2 m/2) x (2/3) = 2.58 kN/m Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 2.58)(1.4) = 17.6 kN/m LIVE LOAD Live load from Slab A (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 3 kN/m^2 x (2.15/2 m/2) x (2/3) = 2.87 kN/m Ultimate live load (Total live load x 1.6 factor) = (2.87)(1.6) = 4.59 kN/m Beam UDL (Total dead load + total live load) = (17.6 + 4.59) = 22.19 kN/m Point load = (UDL x Length of beam) / 2 = (22.19 kN/m x 2.15 m) /2
= 47.71/2 = 23.85 kN
BEAM C1/2-5 (Primary Beam) DEAD LOAD Beam self weight = beam cross section area x concrete density = (0.2 m x 0.3 m x 24 kN/m^3) = 1.44 kN/m Brick wall weight = wall height x thickness x brick wall density = 0.15 m x 3 m x 19 kN/m^3 = 8.55 kN/m Dead load from Slab B (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (2.15/2 m/2) = 3.87 kN/m Dead load from Slab C (2 way slab) = Dead load on slab x (Lx/2) = (0.15 m x 24 kN/m^3) x (4/2 m/2) = 7.2 kN/m Dead load from Slab D (2 way slab) = Dead load on slab x (Lx/2) x (2/3) = (0.15 m x 24 kN/m^3) x (1.3/2 m/2) x (2/3) = 1.56 kN/m LIVE LOAD Live load from Slab B (2 way slab) = Live load on slab x (Lx/2) = 4 kN/m^2 x (2.15/2 m/2) = 4.3 kN/m Live load from Slab C (2 way slab) = Live load on slab x (Lx/2) = 1.5 kN/m^2 x (4/2 m/2) = 3 kN/m Live load from Slab D (2 way slab) = Live load on slab x (Lx/2) x (2/3) = 1.5 kN/m^2 x 1.3/2 m/2) x (2/3) = 0.65 kN/m
PART 1 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 3.87 + 7.2)(1.4) = 29.48 kN/m Ultimate live load (Total live load x 1.6 factor) = (4.3 + 3)(1.6) = 11.68 kN/m Beam UDL and Point Load (Total dead load + total live load) = (29.48 + 11.68) = 41.16 kN/m Point load = (UDL x Length of beam) = 41.16 kN/m x 3 m = 123.48 kN PART 2 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 7.2)(1.4) = 24.07 kN/m Ultimate live load (Total live load x 1.6 factor) = (3)(1.6) = 4.8 kN/m Beam UDL and Point Load (Total dead load + total live load) = (24.07 + 4.8) = 28.87 kN/m Point load = (UDL x Length of beam) = 28.87 kN/m x 1.7 m = 49.08 kN PART 3 Beam UDL and Point Load Ultimate dead load (Total dead load x 1.4 factor) = (1.44 + 8.55 + 7.2 + 1.56)(1.4) = 26.25 kN/m Ultimate live load (Total live load x 1.6 factor) = (0.65)(1.6)
= 1.04kN/m (Total dead load + total live load) = (26.25 + 1.04) = 27.29 kN/m Point load = (UDL x Length of beam) = 27.29 kN/m x 1.3 m = 35.477 kN Point load from secondary beam* F3 = 23.85 kN RDy = 51.201 kN
Ultimate Load Diagram
Reaction Force ΣM5 =0 0 = R2y (6) + [(-123.48)(4.5)] + [(-23.3)(5.7)] + [(-23.85)(3)] + [(-49.08)(2.15)] + [(-51.201)(1.3)] + [(-35.477)(0.65)] 6R2y = 822.354 R2y = 137.059 kN ΣFy 0 R5y
=0 = 137.059 – 123.48 – 23.85 – 49.08 – 51.201 – 35.477 + R5y = 122.64 kN
Shear Force Diagram 1) 137.059 - (41.16 x 3) = 13.579 kN 2) 13.579 – 23.85 = -10.271 kN 3 -10.271 – (28.82 x 1.7) = -59.357 kN 4) -59.357 – 51.201 = -110.552 kN 5) -110.552 – (27.29 x 1.3) = -146.029 kN
Bending Moment Diagram Area A 1/2 x (137.059 + 13.579) x 3 = 225.957 m^2 Area B 1/2 x (10.271 + 59.351) x 1.7 = 59.1787 m^2 Area C 1/2 x (110.552 + 146.029) x 1.3 = 166.778 m^2
Conclusion Area A = 225.957 m^2 Area C + D = 225.957 m^2
Column A5 DEAD LOAD Roof Level Slab Weight (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x (2.5 x 5.625) = 3.6 x 14.0625 = 50.625 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column A-B/5 = ((0.2 x 0.3) x 24) x 2.5 = 3.6 kN A/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN A/5-6 = ((0.2 x 0.3) x 24) x 1.3125 = 1.89 kN Total Weight = 9.81 kN First Floor Level Slab Weight (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x (5.625 x 2.5) m^2 = 50.625 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column A-B/5 = ((0.2 x 0.3) x 24) x 2.5 = 3.6 kN A/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN A/5-6 = ((0.2 x 0.3) x 24) x 1.3125 = 1.89 kN Total Weight = 9.81 kN Wall Self Weight = ((thickness of wall x density of wall) x height of wall) x length of wall acting on column = ((0.15 x 19) x 3) x (5.625 + 2.5) = 69.46875 kN Column Self Weight = (Cross section area of column x height) x density of reinforced concrete = (0.3 x 0.3) x 3 x 24 = 6.48 kN Ground Floor Level Slab Weight (thickness of slab x density of slab) x Area of slab acting on column
= (0.15 m x 24 kN/m^3) x 8.28125 m^2 = 29.8125 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column A-B/5 = ((0.2 x 0.3) x 24) x 2.5 = 3.6 kN A/2-5 = ((0.2 x 0.3) x 24) x 2 = 2.88 kN A/5-6 = ((0.2 x 0.3) x 24) x 1.3125 = 1.89 kN Total Weight = 8.37 kN Wall Self Weight = ((thickness of wall x density of wall) x height of wall) x length of wall acting on column = ((0.15 x 19) x 3) x (3.3125 + 2.5) = 49.69688 kN Column Self Weight = (Cross section area of column x height) x density of reinforced concrete = (0.3 x 0.3) x 3 x 24 = 6.48 kN LIVE LOAD Roof Level Live load factor x Area affected = Live load 0.5 X 14.0625 = 7.03125 kN First Floor Level 1.5 x (2.5 x 3) = 11.25 kN 2 x (2.5 x 1.3125) = 6.5625 kN Live load = 17.8125 kN Ground Floor Level 2.5 x (2 x 2.5) = 12.5 kN 2 x (2.5 x 1.3125) = 6.5625 kN Live load = 19.0625 kN
Ultimate Load Dead Load = Roof* (50.625 + 9.81) + First floor* (50.625 + 9.81 + 69.46875 + 6.48) + Ground floor* (29.8125 + 8.37 + 49.69688 + 6.48) = 291.14813 x 1.4 = 407.60738 kN Live Load = 7.03125 + 17.8125 + 19.0625 = 43.90625 x 1.6
= 70.25 kN Total = 477.857 kN
Column C5 DEAD LOAD Roof Level Slab Weight (Assume flat roof) (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x (4.3125 x 5.55) = 3.6 x 23.93 = 86.16 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column C/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN C/5-6 = ((0.2 x 0.3) x 24) x 1.3125 = 1.89 kN A-C/5 = ((0.2 x 0.3) x 24) x 2.5 = 3.6 kN C-D/5 = ((0.2 x 0.3) x 24) x 2.85 = 4.104 kN Total Weight = 13.914 kN First Floor Level Slab Weight (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x 23.07 m^2 = 83.05 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column C/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN C/5-6 = ((0.2 x 0.3) x 24) x 1.3125 = 1.89 kN A-C/5 = ((0.2 x 0.3) x 24) x 2.5 = 3.6 kN C-D/5 = ((0.2 x 0.3) x 24) x 2.85 = 4.104 kN B/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN Total Weight = 18.234 kN Wall Self Weight = ((thickness of wall x density of wall) x height of wall) x length of wall acting on column = ((0.15 x 19) x 3) x (4.3125 + 2.5) = 58.247 kN Column Self Weight = (Cross section area of column x height) x density of reinforced concrete = (0.3 x 0.3) x 3 x 24 = 6.48 kN
Ground Floor Level Slab Weight (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x 23.07m^2 = 83.052 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column C/5-6 = ((0.2 x 0.3) x 24) x 1.3125 = 1.89 kN A-C/5 = ((0.2 x 0.3) x 24) x 2.5 = 3.6 kN C-D/5 = ((0.2 x 0.3) x 24) x 2.85 = 4.104 kN B/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN Total Weight = 13.914 kN Wall Self Weight = ((thickness of wall x density of wall) x height of wall) x length of wall acting on column = ((0.15 x 19) x 3) x (1.3125 + 2.85 + 2.5 + 3) = 82.614 kN Column Self Weight = (Cross section area of column x height) x density of reinforced concrete = (0.3 x 0.3) x 3 x 24 = 6.48 kN LIVE LOAD Roof Level Live load factor x Area affected = Live load 0.5 X 23.93 = 11.97 kN First Floor Level 1.5 x (4.3125 x 2.5) = 16.17 kN 4 x 2.85 = 11.4 kN Live load = 27.57 kN Ground Floor Level 3 x (5.35 x 3)= 48.15 kN 2 x (2.5 x 1.3125) = 6.5625 kN 2.5 x (0.5 x 3) = 3.75 kN Live load = 58.4625 kN
Ultimate Load
Dead Load = Roof* (86.16 + 13.914) + First floor* (83.05 + 18.234 + 58.247+ 6.48) + Ground floor* (83.052 + 13.914 + 82.614 + 6.48) = 442.145 x 1.4
= 619.003 kN Live Load =11.97 + 27.57 + 58.4625 = 98 x 1.6 = 156.804 kN Total = 775.81 kN
Column D2 DEAD LOAD Roof Level Slab Weight (Assume flat roof) (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x (4.85 x 5) = 3.6 x 24.25 = 87.3 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column C-D/2 = ((0.2 x 0.3) x 24) x 2.85 = 4.104 kN C1/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN D/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN C1-D/3A = ((0.2 x 0.3) x 24) x 2.15 x 1/2 = 1.075 kN C1/1-2 = ((0.2 x 0.3) x 24) x 2 = 2.88 kN Total Weight = 16.699 kN First Floor Level Slab Weight (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x 24.25 m^2 = 87.3 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column C-D/2 = ((0.2 x 0.3) x 24) x 2.85 = 4.104 kN C1/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN D/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN C1/1-2 = ((0.2 x 0.3) x 24) x 2 = 2.88 kN Total Weight = 15.624 kN Wall Self Weight = ((thickness of wall x density of wall) x height of wall) x length of wall acting on column = ((0.15 x 19) x 3) x (2 + 2.85 + 3) = 67.1175kN Column Self Weight = (Cross section area of column x height) x density of reinforced concrete = (0.3 x 0.3) x 3 x 24 = 6.48 kN
Ground Floor Level Slab Weight (thickness of slab x density of slab) x Area of slab acting on column = (0.15 m x 24 kN/m^3) x 15.4m^2 = 55.44 kN Beam Self Weight = (Cross section of beam x density of concrete) x length of beam acting on column C-D/2 = ((0.2 x 0.3) x 24) x 2.85 = 4.104 kN C1/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN D/2-5 = ((0.2 x 0.3) x 24) x 3 = 4.32 kN D/1-2 = ((0.2 x 0.3) x 24) x 2 = 2.88 kN Total Weight = 15.624 kN Wall Self Weight = ((thickness of wall x density of wall) x height of wall) x length of wall acting on column = ((0.15 x 19) x 3) x (2.85 + 2) = 41.4675 kN Column Self Weight = (Cross section area of column x height) x density of reinforced concrete = (0.3 x 0.3) x 3 x 24 = 6.48 kN LIVE LOAD Roof Level Live load factor x Area affected = Live load 0.5 X 24.25 = 12.125 kN First Floor Level 1.5 x (4.15 x 2) = 12.45 kN 2 x (0.7 x 2) = 2.8 kN 4 x (2.1 + 6.45) = 34.2 kN 1.5 x (2 x 3) = 9 kN Live load = 58.45 kN Ground Floor Level 3 x (2.85 x 3)= 24.9 kN 3 x (2.85 x 2) = 17.1 kN 1.5 x (2 x 2) = 6 kN Live load = 48 kN
Ultimate Load
Dead Load = Roof* (87.3 + 16.699) + First floor* (87.3 + 15.624 + 67.1175 + 6.48) + Ground floor* (55.44 +
15.624 + 41.4675 + 6.48) = 399.502 x 1.4 = 559.3028 kN Live Load =12.125 + 58.45 + 48 = 118.575 x 1.6 = 189.72 kN Total = 749.0228 kN