The document summarizes the structural analysis of several beams and columns in a building. It includes: 1. Calculations of dead loads, live loads, and ultimate loads on 6 beams from slabs and walls above. Beams were analyzed for uniform distributed loads, point loads, or a combination. 2. Calculations of the reactions, shear forces, and bending moments for 4 of the beams. Diagrams are presented. 3. The assignment was to analyze a minimum of 6 beams and 3 columns subjected to different load types. Calculations for 2 beams and no columns are shown.

1. CHONG YU XUAN 0317950
Individual Components (CHONG YU XUAN 0317950)
STRUCTURAL GROUND FLOOR PLAN
I had assigned to
1. To analysis minimum 6 beams (each beam must subject to different types of load, i.e. UDL from
one or more than one slabs, beam with point load(s) or combination of UDL and PL)
2. To analysis minimum 3 columns (from roof to foundation level)

2. CHONG YU XUAN 0317950
Beam Analysis Calculation(UDL)
First Floor Beam,B-C/4
TotalDead Load Diagram
Dead load on Brick Wall
Brick Self Weight
= Wall height x thickness x density
= 3m x 0.15m x 19kN/m³
=8.55kN/m
Dead load on B-C/3-4 (two way slab)
Load is transferred to beam B-C/4 in trapezium form
Convert the load into UDL.
Dead load from slab C-D/1-4
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (3m/2)
= 5.4kN/m
Dead load on slab B-C/4-4a (two way slab)
Load is transferred to beam D/1-3 in a trapezium form.
Convert the trapezium load into UDL.
Dead load from slab D-F/1-3
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (3m/2)
= 5.4kN/m
Dead load on Concrete Beam
Beam Self Weight
= Beam size x concrete density
= 0.15m x 0.3m x 24kN/m³
= 1.08kN/m
Total Dead Load
Total for beam D/1-3
= 8.55 + 5.4 + 5.4 + 1.08
= 20.41kN/m

3. CHONG YU XUAN 0317950
TotalLive Load Diagram
Live load on B-C/3-4 (two way slab)
Load is transferred to beam B-C/4 in trapezium form. Convert the
load into UDL.
Live load from slab B-C/3-4
= Live load on slab x (Lx/2)
= 1.5kN/m² x (3m/2)
= 2.25kN/m
Live load on slab B-C/4-4a (two way slab)
Load is transferred to beam B-C/4 in a trapezium form. Convert
the trapezium load into UDL.
Live load from slab B-C/4-4a
= Live load on slab x (Lx/2)
= 1.5kN/m² x (3m/2)
= 2.25kN/m
Total Live Load
Total for beam D/1-3
= 2.25 + 2.25
= 4.5kN/m
TotalUltimate Load Diagram
Total Ultimate Dead Load
Apply factor of 1.4 to dead load
Ultimate Dead load for beam D/1-3
= 20.41kN/m x 1.4
= 28.574kN/m
Total Ultimate Live Load
Apply factor of 1.6 to live load
Ultimate Live load for beam D/1-3
= 4.5kN/m x 1.6
= 7.2kN/m
Total Ultimate load
Combining ultimate dead load & ultimate live load
Ultimate load for beam D/1-3
= 28.574 + 7.2
= 35.774kN/m

4. CHONG YU XUAN 0317950
TotalLoad Diagram
Load Diagram
∑M1 =0
= -4m (R3y) +
35.774kN/m(4m)(4m/2)
4m RBy = 286.192kN/m
RBy = 71.548kN
∑Fy =0
= RCy + RBy – 35.774(4)
= RCy + 71.548 – 286.192
RCy = 71.548kN
Shear Force Diagram
At point 1, there is a 71.548kN
force acting upwards (+ve).
At middle of the beam there is no
point load. Hence, UDL was
converted into PL only for
calculation of reaction forces.
35.774kN/m x 4 = 143.096kN
143.096kN – 143.096kN = 0kN
At point 3, there is a 143.096kN
force acting downwards (-ve).
0kN – 143.096kN = -143.096kN
Bending Moment Diagram
At point 1, there is only a line so
no area = 0kN
At middle of the beam = Area of
triangle between 1 and middle
= 143.096kN x 4m x 0.5
= 286.192kN/m
At point 3 = Area of triangle (+ve)
+ Area of triangle (-ve)
= 286.192kN + -143.096kN x 4m
x 0.5
= 0kN/m

5. CHONG YU XUAN 0317950
Beam Analysis Calculation(UDL)
First Floor Beam, B-C/4a
TotalDead Load Diagram
Dead load on Brick Wall
Brick Self Weight
= Wall height x thickness x density
= 3m x 0.15m x 19kN/m³
=8.55kN/m
Dead load on B-C/4-4a (two way slab)
Load is transferred to beam B-C/4a in trapezium form
Convert the load into UDL.
Dead load from slab B-C/4-4a
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (3m/2)
= 5.4kN/m
Dead load on slab B-C/4a-5 (two way slab)
Load is transferred to beam B-C/4a in a trapezium form.
Convert the trapezium load into UDL.
Dead load from slab B-C/4a-5
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (2m/2)
=3.6kN/m
Dead load on Concrete Beam
Beam Self Weight
= Beam size x concrete density
= 0.15m x 0.3m x 24kN/m³
= 1.08kN/m
Total Dead Load
Total for beam D/1-3
= 8.55 + 5.4 + 3.6 + 1.08
= 18.63kN/m

6. CHONG YU XUAN 0317950
TotalLive Load Diagram
Live load on B-C/4-4a (two way slab)
Load is transferred to beam B-C/4a in trapezium form. Convert the
load into UDL.
Live load from slab B-C/4-4a
= Live load on slab x (Lx/2)
= 1.5kN/m² x (3m/2)
= 2.25kN/m
Live load on slab B-C/4a-5 (two way slab)
Load is transferred to beam B-C/4 in a trapezium form. Convert
the trapezium load into UDL.
Live load from slab B-C/4-4a
= Live load on slab x (Lx/2)
= 1.5kN/m² x (2m/2)
= 1.5kN/m
Total Live Load
Total for beam B-C/4a
= 2.25 + 1.5
= 3.75kN/m
TotalUltimate Load Diagram
Total Ultimate Dead Load
Apply factor of 1.4 to dead load
Ultimate Dead load for beam B-C/4a
= 18.63kN/m x 1.4
= 26.082kN/m
Total Ultimate Live Load
Apply factor of 1.6 to live load
Ultimate Live load for beam B-C/4a
= 3.75kN/m x 1.6
= 6kN/m
Total Ultimate load
Combining ultimate dead load & ultimate live load
Ultimate load for beam B-C/4a
= 26.082 + 6
= 32.082kN/m

7. CHONG YU XUAN 0317950
TotalLoad Diagram
Load Diagram
∑M1 =0
= -4m (R3y) +
32.082kN/m(4m)(4m/2)
4m RBy = 256.656km
RBy = 64.164kN
∑Fy =0
= RCy + RBy – 32.082(4)
= RCy + 64.164 – 128.328
RCy = 64.164kN
Shear Force Diagram
At point 1, there is a 117.58kN force
acting upwards (+ve).
At middle of the beam there is no
point load. Hence, UDL was
converted into PL only for calculation
of reaction forces.
32.082kN/m x 4m = 128.328kN
128.328kN – 128.328kN = 0kN
At point 3, there is a 128.328kN force
acting downwards (-ve).
0kN – 128.328kN = -128.328kN
Bending Moment Diagram
At point 1, there is only a line so no
area = 0kN
At middle of the beam = Area of
triangle between 1 and middle
= 128.328kN x 4m x 0.5
= 256.656kN/m
At point 3 = Area of triangle (+ve) +
Area of triangle (-ve)
= 256.656kN + 128.328kN x 4m x 0.5
= 0kN/m

8. CHONG YU XUAN 0317950
Beam Analysis Calculation(combination)
First Floor Beam, B/4-5
TotalDead Load Diagram
Dead load on Brick Wall
Brick Self Weight
= Wall height x thickness x density
= 3m x 0.15m x 19kN/m³
=8.55kN/m
Dead load on A1-B/4-5(one way slab)
Load is transferred to beam B/4-5 in a trapezium form.
Convert the load into UDL.
Dead load from slab A1-B/4-5
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (1.9m/2)
= 3.42kN/m
Dead load on B-C/4-4q(two way slab)
Load is transferred to beam B-C/4-4a in a triangular form.
Convert the triangle load into UDL.
Dead load from slab B-c/4-4a
= Dead load on slab x (Lx/2) x 2/3
= 3.6kN/m² x (3m/2) x 2/3
= 3.6kN/m
Dead load on B-C/4a-5(two way slab)
Load is transferred to beam B-C/4a-5 in a triangular form.
Convert the triangle load into UDL.
Dead load from slab B-c/4a-5
= Dead load on slab x (Lx/2) x 2/3
= 3.6kN/m² x (2m/2) x 2/3
= 2.4kN/m
Dead load on Concrete Beam
Beam Self Weight
= Beam size x concrete density
= 0.15m x 0.3m x 24kN/m³
= 1.08kN/m
Total Dead Load
Total for 4-4a
= 3.6+8.55kN/m + 1.08kN/m+3.42
= 16.65kN/m
Total for 4a-5
= 3.42kN/m + 2.4kN/m + 1.08kN/m
= 6.9kN/m

9. CHONG YU XUAN 0317950
TotalLive Load Diagram
Live load on slab A1-B/4-5 (one way slab)
Load is transferred beam B/4-5. Convert the load into UDL.
Live load from slab A1-B/4-5
= Live load on slab x (Lx/2)
= 1.5kN/m² x (1.9m/2)
= 1.425kN/m
Live load on slab B-C/4-4a (two way slab)
Load is transferred beam B-C/4-4a in a triangular form. Convert
the load into UDL.
Live load from slab B-C/4-4a
= Live load on slab x (Lx/2)
= 1.5kN/m² x (3m/2) x2/3
= 1.5kN/m
Live load on slab B-C/4a-5 (two way slab)
Load is transferred beam B-C/4a-5 in a triangular form. Convert
the load into UDL.
Live load from slab B-C/4a-5
= Live load on slab x (Lx/2)x2/3
= 1.5kN/m² x (2m/2) x2/3
= 1kN/m
Total Live Load
Total for 4-4a
= 1.425kN/m + 1.5kN/m
= 2.925kN/m
Total for 4a-5
= 1.425kN/m + 1.kN/m
= 2.425kN/m
TotalUltimate Load Diagram
Total Ultimate Dead Load
Apply factor of 1.4 to dead load
Ultimate Dead load for 4-4a
= 16.65kN/m x 1.4
= 23.31N/m
Ultimate Dead load for 4a-5
= 6.9kN/m x 1.4
= 9.66kN/m

10. CHONG YU XUAN 0317950
Total Ultimate Live Load
Apply factor of 1.6 to live load
Ultimate Live load for 4-4a
= 2.925kN/m x 1.6
= 4.68kN/m
Ultimate Live load for 4a-5
= 2.425kN/m x 1.6
= 3.88kN/m
Total Ultimate load
Combining ultimate dead load & ultimate live load
Ultimate load for 4-4a
= 27.98kN/m
Ultimate load for 4a-5
= 9.66kN/m + 3.88kN/m
= 13.54kN/m
TotalLoad Diagram
Load Diagram
∑MC =0
= 5m (RF5) –(83.88)(1.5)-(64.164)(3)-
(27.08x4)
5m RF5 = 426.632kN
RF5 = 85.3264kN
∑Fy =0
= RF4+ RF5 – 83.94kN – 64.164kN/m –
27.08kN
R4= 89.856kN
Shear Force Diagram
At point C, there is a 89.858kN force acting
upwards (+ve).
UDL was converted to PL only for calculation of
reaction forces.
89.858kN– 83.88kN = 5.978kN
At point 4a, there is a 64.164kN force acting
downwards (-ve).
5.978kN – 64.164kN
= -58.186kN
UDL was converted to PL only for calculation of
reaction forces.
=-58.186kN – 27.08kN
= 85.266kN

11. CHONG YU XUAN 0317950
Bending Moment Diagram
At point C, there is only a line so no area =
0kN/m
At point 4a = Area of trapezium between 4 and
4a
= (5.978 + 89.858) x 3 x 0.5
= 143.754kN/m
At point 5= Area of trapezium between4aand 5
= (58.186 +85.266) x 2 x 0.5
= 143.45kN/m
143.754kN/m - 143.45kN/m = 0.3kN/m ≈0

12. CHONG YU XUAN 0317950
Beam Analysis Calculation(UDL)
First Floor Beam, B1-C/5a
TotalDead Load Diagram
Dead load on Brick Wall
Brick Self Weight
= Wall height x thickness x density
= 3m x 0.15m x 19kN/m³
=8.55kN/m
Dead load on B-C/3-4 (two way slab)
Load is transferred to beam B1-C/5-5a in trapezium form
Convert the load into UDL.
Dead load from slab B1-C/5-5a
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (1.7m/2)
= 3.06kN/m
Dead load on slab B1-C/5a-6 (two way slab)
Load is transferred to beam B1-C/5a-6 in a triangle form.
Convert the triangle load into UDL.
Dead load from slab B1-C/5a-6
= Dead load on slab x (Lx/2)x2/3
= 3.6kN/m² x (1.8m/2)x2/3
= 2.16kN/m
Dead load on Concrete Beam
Beam Self Weight
= Beam size x concrete density
= 0.15m x 0.3m x 24kN/m³
= 1.08kN/m
Total Dead Load
Total for beam D/1-3
= 8.55 + 3.06 + 2.16 + 1.08
= 14.85kN/m

13. CHONG YU XUAN 0317950
TotalLive Load Diagram
Live load on B1-C/5-5a (two way slab)
Load is transferred to beam B1-C/5-5a in trapezium form.
Convert the load into UDL.
Live load from slab B1-C/5-5a
= Live load on slab x (Lx/2)
= 1.5kN/m² x (1.7m/2)
= 1.275kN/m
Live load on slab B1-C/5a-6 (two way slab)
Load is transferred to beam B1-C/5a-6 in a triangle form.
Convert the triangle load into UDL.
Live load from slab B1-C/5a-6
= Live load on slab x (Lx/2)x2/3
= 1.5kN/m² x (1.8m/2)x2/3
= 0.9kN/m
Total Live Load
Total for beam B1-C/5a
= 1.275 + 0.9
= 2.175kN/m
TotalUltimate Load Diagram
Total Ultimate Dead Load
Apply factor of 1.4 to dead load
Ultimate Dead load for beam B1-C/5a
= 14.85kN/m x 1.4
= 20.79kN/m
Total Ultimate Live Load
Apply factor of 1.6 to live load
Ultimate Live load for beam B1-C/5a
= 2.175kN/m x 1.6
= 3.48kN/m
Total Ultimate load
Combining ultimate dead load & ultimate live load
Ultimate load for beam B1-C/5a
= 20.79 + 3.48
= 24.27kN/m

14. CHONG YU XUAN 0317950
TotalLoad Diagram
Load Diagram
∑M1 =0
= 1.8m (Rcy) +
35.774kN/m(1.8m)(1.8m/2)
1.8m R3y = 39.317kN/m
Rcy = 21.84kN
∑Fy =0
= Rb1y + Rcy – 43.686
= Rb1y + 21.84 – 43.686
Rb1y = 21.84kN
Shear Force Diagram
At point 1, there is a 21.84kN force acting
upwards (+ve).
At middle of the beam there is no point
load. Hence, UDL was converted into PL
only for calculation of reaction forces.
24.27kN/m x 1.8 = 43.686kN
21.84kN – 43.686kN = -21.84kN
At point 3, there is a 21.84kN force acting
downwards (-ve).
0kN – 21.84kN = -21.84kN
Bending Moment Diagram
At point 1, there is only a line so no area =
0kN
At middle of the beam = Area of triangle
between 1 and middle
= 21.84kN x 0.9m x 0.5
= 9.828kN/m2
At point 3 = Area of triangle (+ve) + Area
of triangle (-ve)
= 9.828kN + -9.828kN
= 0kN/m

15. CHONG YU XUAN 0317950
Beam Analysis Calculation(combination)
First Floor Beam, B1/5-6
TotalDead Load Diagram
Dead load on Brick Wall
Brick Self Weight
= Wall height x thickness x density
= 3m x 0.15m x 19kN/m³
=8.55kN/m
Dead load on B-B1/5-6(one way slab)
Load is transferred to beam B-B1/5-6. Convert the load into
UDL.
Dead load from slab B-B1/5-6
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (2.19m/2)
= 3.942kN/m
Dead load on B1-C/5-5a(two way slab)
Load is transferred to beam B1-C/5-5a in a triangular form.
Convert the triangle load into UDL.
Dead load from slab B1-C/5-5a
= Dead load on slab x (Lx/2) x 2/3
= 3.6kN/m² x (1.7m/2) x 2/3
= 2.04kN/m
Dead load on B1-C/5a-6(two way slab)
Load is transferred to beam B1-C/5a-6 in a trapezium form.
Convert the trapezium load into UDL.
Dead load from slab B1-C/5a-6
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (1.8m/2)
= 3.24kN/m
Dead load on Concrete Beam
Beam Self Weight
= Beam size x concrete density
= 0.15m x 0.3m x 24kN/m³
= 1.08kN/m
Total Dead Load
Total for 5-5a
= 2.04 1.08kN/m+3.942
= 7.042kN/m
Total for 5a-6
= 3.24 +8.55kN/m + 1.08kN/m+3.942
= 16.792kN/m

16. CHONG YU XUAN 0317950
TotalLive Load Diagram
Live load on on B-B1/5-6(one way slab)
Load is transferred to beam B-B1/5-6. Convert the load into
UDL.
live load from slab B-B1/5-6
Live load from slab B/4-5
= Live load on slab x (Lx/2)
= 1.5kN/m² x (2.9m/2)
= 1.6425kN/m
Live load on B1-C/5-5a(two way slab)
Load is transferred to beam B1-C/5-5a in a triangular form.
Convert the triangle load into UDL.
live load from slab B1-C/5-5a
= Live load on slab x (Lx/2)
= 1.5kN/m² x (1.7m/2) x2/3
= 0.85kN/m
Live load on B1-C/5a-6(two way slab)
Load is transferred to beam B1-C/5a-6 in a trapezium form.
Convert the trapezium load into UDL.
live load from slab B1-C/5a-6
= Live load on slab x (Lx/2)x2/3
= 1.5kN/m² x (1.8m/2) x2/3
= 3.24kN/m
Total live Load
Total for 5-5a
= 0.85 +1.6425kN/m
= 2.4925kN/m
Total for 5a-6
= 3.24 +1.6425
= 4.8825kN/m
TotalUltimate Load Diagram
Total Ultimate Dead Load
Apply factor of 1.4 to dead load
Ultimate Dead load for 5-5a
= 7.042kN/m x 1.4
= 9.859N/m
Ultimate Dead load for 5a-6
= 16.792kN/m x 1.4
= 23.5098kN/m

17. CHONG YU XUAN 0317950
Total Ultimate Live Load
Apply factor of 1.6 to live load
Ultimate Live load for 5-5a
= 2.493kN/m x 1.6
= 3.989kN/m
Ultimate Live load for 5a-6
= 4.883kN/m x 1.6
= 7.813kN/m
Total Ultimate load
Combining ultimate dead load & ultimate live load
Ultimate load for 5-5a
= 9.859 +3.389kN/m
=13.248
Ultimate load for 5a-6
= 23.509kN/m + 7.813kN/m
= 31.322kN/m
TotalLoad Diagram
Load Diagram
∑MC =0
=4.7m (RF5) –(22.52)(0.85)-
(21.84)(1.7)-(93.966)(3.2)
4.7m RF5 = 356.96kN
RF6 = 75.949kN
∑Fy =0
= RF5+ RF6 – 22.52kN –
21.84kN/m – 93.966kN
R5= 62.377kN
Shear Force Diagram
At point 5, there is a 62.377kN force
acting upwards (+ve).
UDL was converted to PL only for
calculation of reaction forces.
62.377kN– 22.52kN = 39.857kN
At point 5a, there is a 21.84kN force
acting downwards (-ve).
39.857kN– 21.84kN
= 18.017kN
UDL was converted to PL only for
calculation of reaction forces.
=-18.017kN – 93.966kN
= -75.949kN

18. CHONG YU XUAN 0317950
Bending Moment Diagram
At point 5, there is only a line so no area = 0kN/m
At point 5a = Area of trapezium between 4 and 4a
= (62.377 + 39.857) x 1.7 x 0.5
= 86.8989kN/m
At point 5a = area of triangle
=18.017x0.575x0.5
=5.17kN/m
At point 6= Area of triangle between 5a and 6
= 75.949 x (3-0.575) x 0.5
= 92.088kN/m
86.8989kN/m+5.17kN/m - 92.088kN/m = -0.0191kN/m ≈0

19. CHONG YU XUAN 0317950
Beam Analysis Calculation(combination)
First Floor Beam, B-C/5
TotalDead Load Diagram
Dead load on Brick Wall
Brick Self Weight
= Wall height x thickness x density
= 3m x 0.15m x 19kN/m³
=8.55kN/m
Dead load on B-C/4a-5(two way slab)
Load is transferred to beam B-C/4a-5 in a trapezium
form. Convert the load into UDL.
Dead load from slab B-C/4a-5
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (2m/2)
= 3.6kN/m
Dead load on B1-C/5-5a(two way slab)
Load is transferred to beam B-C/5-5a in a trapezium
form. Convert the load into UDL.
Dead load from slab B-C/5-5a
= Dead load on slab x (Lx/2)
= 3.6kN/m² x (1.7m/2)
= 3.06kN/m
Dead load on Concrete Beam
Beam Self Weight
= Beam size x concrete density
= 0.15m x 0.3m x 24kN/m³
= 1.08kN/m
Total Dead Load
Total for B-B1
= 3.6+8.55kN/m + 1.08kN/m
= 13.23kN/m
Total for B1-C
= 3.6kN/m + 8.55kN/m + 1.08kN/m+3.06
= 16.29kN/m

20. CHONG YU XUAN 0317950
TotalLive Load Diagram
Live load on B-C/4a-5(two way slab)
Load is transferred to beam B-C/4a-5 in a trapezium form.
Convert the load into UDL.
live load from slab B-C/4a-5
= Live load on slab x (Lx/2)
= 1.5kN/m² x (2m/2)
= 1.5kN/m
Live load on B1-C/5-5a(two way slab)
Load is transferred to beam B-C/5-5a in a trapezium form.
Convert the load into UDL.
Live load from slab B-C/5-5a
= Live load on slab x (Lx/2)
= 1.5kN/m² x (1.7m/2)
= 1.275kN/m
TotalUltimate Load Diagram
Total Ultimate Dead Load
Apply factor of 1.4 to dead load
Ultimate Dead load for B-B1
= 13.23kN/m x 1.4
= 18.522N/m
Ultimate Dead load for B1-C
= 16.29kN/m x 1.4
= 22.806N/m
Total Ultimate Live Load
Apply factor of 1.6 to live load
Ultimate Live load for B-B1
= 1.5kN/m x 1.6
= 2.4kN/m
Ultimate Live load for B1-C
= 1.275kN/m x 1.6
= 2.04kN/m
Total Ultimate load
Combining ultimate dead load & ultimate live load
Ultimate load for B-B1
= 18.522kN/m+2.4
=20.922kN/m
Ultimate load for B1-C
= 22.806kN/m + 2.04kN/m
= 24.846kN/m

21. CHONG YU XUAN 0317950
TotalLoad Diagram
Load Diagram
∑MC =0
= 4m (RFb) –(46.028)(2.9)-
(62.377)(1.8)-(44.723x0.9)
Rc = 81.625kN
∑Fy =0
= Rc+ Rb– 62.377kN –
20.922kN/mx2.2 – 24.846kNx1.8
Rb= 71.503kN
Shear Force Diagram
At point C, there is a 71.503kN force
acting upwards (+ve).
UDL was converted to PL only for
calculation of reaction forces.
71.503kN – 46.028kN = 25.475kN
At point B1, there is a 62.377kN force
acting downwards (-ve).
25.475kN – 62.377kN
= -36.902kN
UDL was converted to PL only for
calculation of reaction forces.
=-36.902kN – 44.723kN
= 81.625kN
Bending Moment Diagram
At point B, there is only a line so no area =
0kN/m
At point B1 = Area of trapezium between B
and B1
= (71.503 + 25.475) x 2.2 x 0.5
= 106.676kN/m
At point C= Area of trapezium
betweenB1and C
= (36.902 +81.625) x 1.8 x 0.5
= 106.674kN/m
106.676kN/m - 106.674kN/m = 0.02kN/m
≈0

22. CHONG YU XUAN 0317950
Column Analysis Calculation
Tributary Area Method (Live Load Only)
To determine 3 columns: B4, B5, B6
Structural Ground Floor Plan
(Showing Distribution of load from slab to column)
Based on the UBBL, it states that all rooms in Bungalow are using the live load factor of
1.5kN/m² except for car porch which is 2.5kN/m²
Column Area Live Load
GF B4 (4m x 5.65m) = 22.6m² 22.6m²x 1.5kN/m² = 33.9kN
GF B5 4m x 4.85m = 19.4m² 19.4m²x 1.5kN/m² = 29.1kN
CF B6 4m x 2.35m = 9.4m² 9.4m²x 1.5kN/m² = 14.1kN

23. CHONG YU XUAN 0317950
Total Live Load Diagram
Structural First Floor Plan
(Showing Distribution of load from slab to column)
Based on the UBBL, it states that all rooms in Bungalow are using the live load factor of
1.5kN/m².
Column Area Live Load
FF B4 4mx4m= 16m² 16m²x 1.5kN/m²
= 24kN
FF B5 4m x 4.85m = 19.4m² 19.4m²x 1.5kN/m² = 29.1kN
FF B6 4m x 2.35m = 9.4m² 9.4m²x 1.5kN/m² = 14.1kN

24. CHONG YU XUAN 0317950
Total Live Load Diagram
Structural Roof Plan
(Showing Distribution of load from slab to column)
Based on the UBBL, it states that all rooms in Bungalow are using the live load factor of
1.5kN/m² but assumed live load for roof is taken as 0.5kN/m² and 1.0kN/m² as dead
load given by lecturer. There is no live load on roof floor plan.
Column Area Live Load
FF B4 (4m x 5.65m) = 22.6m² 22.6m²x 1.5kN/m² = 33.9kN
FF B5 4m x 4.85m = 19.4m² 19.4m²x 1.5kN/m² = 29.1kN
FF B6 4m x 2.35m = 9.4m² 9.4m²x 1.5kN/m² = 14.1kN

25. CHONG YU XUAN 0317950
Column Analysis Calculation
Tributary Area Method
Column B4
Determine the load acting on column C5
Dead load
Roof Level
Dead Load
Slab 22.6m² x 1.0kN/m² = 22.6kN
Roof beam (9.65m) x 1.08kN/m = 9.56kN
Total 22.6+ 10.02 = 32.62kN
First Floor
Dead Load
Walls (6m) x 8.55kN/m = 51.3kN
Slabs 16m² x 3.6kN/m² = 57.6kN
Beams 8mx 1.08kN/m = 8.64kN
Columns 0.3m x 0.4m x 3m x 24kN/m³ = 8.64kN
Total 51.3kN + 57.6kN + 8.64kN + 8.64 = 126.18kN
Ground Floor
Dead Load
Walls 4m x 8.55kN/m = 34.2kN
Slabs 22.6m² x 3.6kN/m² = 81.36kN
Beams (2.462m+4m+5.65)x1.08kN/m=13.08kN
Columns 0.3m x 0.4m x 3m x 24kN/m³ = 8.64kN
Total 34.2+ 81.36+ 13.08+ 8.64 = 128.64kN
Total Dead Load 32.62+ 126.18+ 128.64= 287.44kN
Apply 1.4 Factor 287.44kN x 1.4 = 402.416kN

26. CHONG YU XUAN 0317950
Live load
First Floor
Live Load
Slabs 16m² x 1.5kN/m² = 24kN
Ground Floor
Live Load
Slabs 22.6m² x 1.5kN/m² = 33.9kN
Total Live Load 24 + 33.9 = 57.9kN
Apply 1.6 Factor 57.9kN x 1.4 = 92.64kN
Total Ultimate Dead load + Ultimate Live load
402.416kN + 92.64kN = 495.05kN
Hence, the ultimate load acting on column B4 is 495.05kN.

27. CHONG YU XUAN 0317950
Column Analysis Calculation
Tributary Area Method
Column B5
Determine the load acting on column B5
Dead load
Roof Level
Dead Load
Slab (4x4.887)m² x 1.0kN/m² = 19.548kN
Roof beam (8.887m) x 1.08kN/m = 9.598kN
Total 19.548kN + 9.598kN = 29.146kN
First Floor
Dead Load
Walls (2.35+2+2) x 8.55kN/m =54.2925kN
Slabs 19.52m² x 3.6kN/m² = 70.272kN
Beams (2.53+2.35+6)mx 1.08kN/m = 11.75kN
Columns 0.3m x 0.4m x 3m x 24kN/m³ = 8.64kN
Total 54.2925kN + 70.272kN + 11.75kN + 8.64 =
144.955kN
Ground Floor
Dead Load
Walls 4.35m x 8.55kN/m = 37.19kN
Slabs 19.52m² x 3.6kN/m² = 70.272kN
Beams (2+2.53+2.35+2)x1.08kN/m=9.59kN
Columns 0.3m x 0.4m x 3m x 24kN/m³ = 8.64kN
Total 37.19kN + 70.272kN + 9.59kN + 8.64 =
125.692kN
Total Dead Load 29.146kN + 144.955kN + 125.692kN =
299.692kN
Apply 1.4 Factor 299.692kN x 1.4 = 419.71kN

28. CHONG YU XUAN 0317950
Live load
First Floor
Live Load
Slabs 19.52m² x 1.5kN/m² = 29.28kN
Ground Floor
Live Load
Slabs 19.52m² x 1.5kN/m² = 29.28kN
Total Live Load 29.28kN + 29.28kN = 58.56kN
Apply 1.6 Factor 58.56kN x 1.4 = 93.696kN
Total Ultimate Dead load + Ultimate Live load
419.71kN + 93.696kN = 513.406kN
Hence, the ultimate load acting on column B5 is 513.406kN.

29. CHONG YU XUAN 0317950
Column Analysis Calculation
Tributary Area Method
Column B6
Determine the load acting on column B5
Dead load
Roof Level
Dead Load
Slab (2.35x4)m² x 1.0kN/m² = 9.4kN
Roof beam (6.35m) x 1.08kN/m = 6.85kN
Total 9.4kN+ 6.85kN = 16.25kN
First Floor
Dead Load
Walls 6.35m x 8.55kN/m =54.29kN
Slabs 9.4m² x 3.6kN/m² = 33.84kN
Beams 6.35mx 1.08kN/m = 6.85kN
Columns 0.3m x 0.4m x 3m x 24kN/m³ = 8.64kN
Total 54.29kN + 33.84kN + 6.85kN + 8.64 = 103.62kN
Ground Floor
Dead Load
Walls 8.35m x 8.55kN/m = 71.39kN
Slabs 9.4m² x 3.6kN/m² = 33.84kN
Beams 8.35x1.08kN/m=9.018kN
Columns 0.3m x 0.4m x 3m x 24kN/m³ = 8.64kN
Total 71.39kN+ 33.84kN + 9.018kN + 8.64 =
122.889kN
Total Dead Load 16.25kN + 103.62kN + 339.86kN =
242.75kN
Apply 1.4 Factor 242.75kN x 1.4 = 339.86kN

30. CHONG YU XUAN 0317950
Live load
First Floor
Live Load
Slabs 9.4m² x 1.5kN/m² = 14.1kN
Ground Floor
Live Load
Slabs 9.4m² x 1.5kN/m² = 14.1kN
Total Live Load 14.1kN + 14.1kN = 28.2kN
Apply 1.6 Factor 28.2kN x 1.4 = 45.12kN
Total Ultimate Dead load + Ultimate Live load
339.86kN + 45.12kN = 384.98kN
Hence, the ultimate load acting on column B6 is 384.98kN.