Beam and Column Analysis | Individual Component

8.2 Joyce WeeBeam A-B/4 (Ground Floor | Secondary Beam)

Dead Load: Slab (A-B/ 3-4) = 3.6kN/m2 x (1.91m/2)

= 3.44kN/m

Slab (A-B/ 4-6) = 3.6kN/m2 x (3.1m/2) 2/3= 3.72kN/m

Brick wall weight = 3m x 0.1m x 19kN/m3

=5.7kN/m

Beam self-weight = 0.1m x 0.2m x 24kN/m3

= 0.48kN/m

Total Dead Load:Total Dead Load = 3.44 + 3.72 + 5.7 + 0.48

= 13.34kN/m

Live Load: Slab (A-B/ 3-4)= Bathroom x (1.91m/2)

= 2.0kN/m2 x (1.91m/2)= 1.91kN/m

Slab (A-B/ 4-6)= Bedroom x (3.1m/2)= 1.5kN/m2 x (3.1m/2)= 2.33kN/m

Total Live Load:Total Live Load = 1.91kN/m + 2.33kN/m

=4.24kN/m

Ultimate Load:Ultimate Load = TDL(1.4) + TLL(1.6)

= 13.34(1.4) + 4.24(1.6)= 25.46kN/m

Load Diagram for Beam (A-B/4)

Reaction Force:∑m = 0

(RA x 3.1) – (25.46 x 3.1)(1.55) = 0 RA(3.1) – 122.34 = 0

RA = 122.34/3.1 RA = 39.46kN -----∑fy = 0

RA + RB + (-25.46 x 3.1) = 0 -----Substitute into

39.46 + RB – 78.926 = 0

RB = 78.926 – 39.46

RB = 39.5kN

building structure project 2: beam and column 2

Shear Force Diagram

Point 1 = 39.46kN

Point 2 = 39.46 + (-25.46 x 3.1)

= 39.46 x 78.926

= -39.5K

Point 3 = -39.5 + 39.5

= 0kN

Bending Moment Diagram

Peak = (39.46 x 1.55) x ½

= 30.58


Beam B-D/5 (Ground Floor | Secondary Beam)

Dead Load: Slab (B-D/3-5) = 3.6kN/m2 x (3.21m/2) 2/3

= 3.85kN/m

Slab (B-D/5-6) = 3.6kN/m2 X (3.21m/2)2/3

= 3.85kN/m


= 0.48kN/m

Total Dead Load:

Total Dead Load = 3.85 + 3.85 + 0.48= 8.18kN/m

Live Load:

Slab (B-D/3-5) = Stairs x (3.21m/2)2/3

= 1.5kN/m2 x (3.21m/2)2/3

= 1.605kN/m

At Slab (B-D/3-5),

Slab : Stairs = 3.21m : 1.4m

1.605 : α = 3.21 : 1.4

1.605/a = 3.21/1.4

a = 0.7kN/m


Slab (B-D/3-5) = Corridor x (3.21m/2)2/3

= 4.0kN/m2 x (3.21m/2)2/3

= 4.28kN/m

At Slab (B-D/3-5),

Slab : Corridor = 3.21m : 1.81m

4.28 : α= 3.21 : 1.81

4.28/a = 3.21/1.81

a = 2.41kN/m

Slab (B-D/3-5) = Stairs x (3.21m/2)2/3

= 1.5kN/m2 x (3.21m/2)2/3

= 1.605kN/m

At Slab (B-D/3-5),

Slab : Stairs = 3.21m : 1.4m

1.605 : α = 3.21 : 1.4

1.605/a = 3.21/1.4

a = 0.7kN/m

Slab (B-D/3-5) = Corridor x (3.21/2)2/3

= 4.0kN/m2 x (3.21/2)2/3

= 4.28kN/m

At Slab (B-D/3-5),

Slab : Corridor = 3.21m : 1.81m

4.28 : α= 3.21 : 1.81

4.28/a = 3.21/1.81

a = 2.41kN/m

Total Live Load:

Total Live Load at (B-C) = 0.7 + 0.7= 1.4kN/m

Total Live Load at (C-D) = 2.41 + 2.41= 4.82kN/m


Ultimate Load:Ultimate Load at (B-C) = TDL(1.4) + TLL(1.6)

= 8.18(1.4) + 1.4(1.6)= 13.69kN/m

Ultimate Load at (C-D) = TDL(1.4) + TLL(1.6)= 8.18(1.4) + 4.82(1.6)= 19.16kN/m

Load Diagram of Beam (B-D/5):

Reaction Forces:

∑m = 0

RB(3.21) – (19.16 x 1.81)(0.91) – (13.69)(2.51) = 0

RB(3.21) – 31.56 – 34.36 = 0

RB = 65.92/3.21

RB = 20.54kN/m -----

∑fy = 0

RB+RD-(13.69 X 1.4) – (19.16 X 1.81) = 0 -----

Substitute into ,

20.54 + RD – 19.17 – 34.68 = 0

RD = 53.85 - 20.54

RD = 33.31kN/m


Shear Force Diagram:

Point 1 = 20.54

Point 2 = 20.54 – (13.69 x 1.4)

= 1.374

Point 3 = 1.374 – (19.16 x 1.81)

= -33.31

Point 4 = -33.31 + 33.31

= 0

Bending Moment Diagram:

Bending Moment 1

= (20.54 + 1.374)/2 x 1.4

= 15.34

Bending Moment 2

= 15.3398 + (1.374 x 0.3)/2

= 15.55


Beam B/3-6 (Ground Floor | Primary Beam)

Dead Load: Slab (A-B/3-4) = 3.6kN/m2 x (1.91m/2) 2/3

= 2.29kN/m

Slab (A-B/4-6) = 3.6kN/m2 x (3.1m/2)= 5.58kN/m

Slab (B-D/3-5) = 3.6kN/m2 x (3.21m/2) = 5.78kN/m

Slab (B-D/5-6) = 3.6kN/m2 x (3.21m/2)= 5.78kN/m

Brick wall weight = 3m x 0.1m x 19kN/m3

= 5.7kN/m


= 1.44kN/m

Total Dead Load:Total Dead Load at (B/3-4) = 2.29 + 5.78 + 5.7 + 1.44

= 15.21kN/m

Total Dead Load at (B/4-5) = 5.58 + 5.78 + 5.7 + 1.44= 18.5kN/m

Total Dead Load at (B/5-6) = 5.58 + 5.78 + 5.7 + 1.44= 18.5kN/m

Live Load: Slab (A-B/ 3-4)= Bathroom x (1.91m/2) 2/3

= 2.0kN/m2 x (1.91m/2) 2/3= 1.27kN/m

Slab (A-B/ 4-6)= Bedroom x (3.1m/2)= 1.5kN/m2 x (3.1m/2)= 2.33kN/m

Slab (B-D/ 3-4) = Stairs x (3.21m/2)= 1.5kN/m2 x (3.21m/2)


= 2.41kN/m

Slab (D-F/ 5-6)= Stairs x (3.21m/2) = 1.5kN/m2 x (3.21m/2)= 2.41kN/m

Total Live Load:Total Live Load at (B/3-4) = 1.27 + 2.41

= 3.68kN/m

Total Live Load at (B/4-5) = 2.33 + 2.41= 4.74kN/m

Total Live Load at (B/5-6) = 2.33 + 2.41= 4.74kN/m

Ultimate Load:Ultimate Load at (B/3-4) = TDL(1.4) + TLL(1.6)

= 15.21(1.4) + 3.68(1.6)= 27.18kN/m

Ultimate Load at (B/4-6) = TDL(1.4) + TLL(1.6)= 18.5(1.4) + 4.74(1.6)= 33.48kN/m

Load Diagram of Beam (B/3-6): Referring to Beam (A-B/4), Point Load at B/4 = 39.5kN Referring to Beam (B-D/5), Point Load at B/5 = 20.76kN


Reaction Force:

∑m = 0

RB3(7.09) – (27.18 x 1.91)(6.14) – (39.5)(5.18) – (20.76)(3.39) – (33.48 x 5.18)(2.59) = 0

RB3(7.09) – 318.75 – 204.61 – 70.38 – 449.17 = 0

RB3 = 1042.91/7.09

RB3 = 147.1kN -----

∑fy = 0

RB3 + RB6 – 39.5 – 20.76 – 27.18(1.91) – 33.48(5.18) = 0 -----

Substitute into ,

147.1 + RB6 – 39.5 – 20.76 – 51.91 – 173.43 = 0

RB6 = 138.5kN



Point 1 = 147.1

Point 2 = 147.1 – (27.18 x 1.91)

= 95.19

Point 3 = 95.19 – 39.5

= 55.69

Point 4 = 55.69 – (33.48 x 1.79)

= -4.24

Point 5 = -4.24 – 20.76

= -25

Point 6 = -25 – (33.48 x 3.39)

= - 138.5

Bending Moment Diagram:

Bending Point 1

= (147.1 + 95.19)/2 x 1.91

= 231.39

Bending Point 2

= 231.39 + (55.69 x 1.662)/2

= 277.67

Bending Point 3

= 277.67 – (4.24 x 0.128)/2

= 277.4

Bending Point 4

= 277.4 – (25 + 138.5)/2 x 3.39

= 0


Beam J/1-3 (First Floor | Secondary Beam)

Dead Load at Beam (J-K/2):

Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)2/3= 2.172kN/m

Slab (J-K/2-3) = 3.6kN/m2 x (1.6m/2)= 2.88kN/m

Brick Wall Load = 3.0m x 0.1m x 19kN/m3

= 5.7kN/m

Beam Self-Weight = 0.1m x 0.2m x 24kN/m3

= 0.48kN/m

Total Dead Load at Beam (J-K/2):Total Dead Load = 2.17 + 2.88 + 5.7 + 0.48

= 11.23kN/m

Live Load:1 Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3

= 2.0kN/m2 x (1.81m/2)2/3= 1.21kN/m

2 Slab (J-K/2-3) = Bedroom x (1.6m/2)= 1.5kN/m2 x (1.6m/2)= 1.2kN/m

Total Live Load at Beam (J-K/2):Total Live Load = 1.21 + 1.2

= 2.41kN/m


Ultimate Load at Beam (J-K/2):Ultimate Load = TDL(1.4) + TLL(1.6)

= 11.23(1.4) + 2.41(1.6)= 19.58kN/m2

Load Diagram of beam (J-K/2):

Reaction Force ∑m = 0

RJ (1.81) – (19.58 x 1.81)(0.91) = 0 RJ (1.81) – 32.35 = 0

RJ = 32.25/1.81 RJ = 17.82kN -----

∑fy = 0

RJ + RK – (19.58) (1.81) = 0 -----

Substitute into ,

17.82 + RK – 35.44 = 0

RK = 17.62kN


Dead Load at Beam J/1-3

Slab (H-J/1-3) = 3.6kN/m2 x (4.19m/2)2/3

= 5.03kN/m

Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)

= 3.26kN/m

Slab (J-K/2-3) = 3.6kN/m2 x (1.6m/2)2/3

= 1.92kN/m

Brick Wall Weight = 3.0m x 0.1m x 19kN/m3

= 5.7kN/m

Beam Self Weight = 0.1m x 0.2m x 24kN/m3

= 0.48kN/m

Total Dead Load at Beam (J/1-3):Total Dead Load at (J/1-2) = 5.03 + 3.26 + 5.7 + 0.48

= 14.47kN/m

Total Dead Load at (J/2-3) = 5.03 + 1.92 + 5.7 + 0.48= 13.13kN/m

Live Load at Beam J/1-3 Slab (H-J/1-3) = Bedroom x (4,19m/2)2/3

= 1.5kN/m2 x (4.19m/2)2/3= 2.095kN/m

Slab (J-K/1-2) = Bathroom x (1.81m/2)= 2.0kN/m2 x (1.81m/2)= 1.81kN/m

Slab J-K/2-3) = Bedroom x 1.6m/2)2/3= 1.5kN/m2 x 1.6m/2)2/3= 0.8kN/m

Total Live Load at Beam J/1-3:Total Live Load at (J/1-2) = 2.095 + 1.81

= 3.905kN/m

Total Live Load at (J/2-3) = 2.095 + 0.8= 2.895kN/m


Ultimate Load at Beam J/1-3Ultimate Load at (J/1-2) = TDL (1.4) + TLL (1.6)

=14.47(1.4) + 3.905(1.6)= 26.51kN/m

Ultimate Load at (J/2-3) = TDL (1.4) + TLL (1.6)= 13.13(1.4) + 2.9(1.6) = 23.02kN/m

Load Diagram of Beam (J/1-3): Referring to Beam (J-K/2), Point Load at J/2 = 17.82kN

∑m = 0

RJ1(4.19) – (23.02 x 1.6) (0.8) – (17.82) (1.6) – (26.51 x 2.59) (2.9) = 0 RJ1(4.19) – 29.47 – 28.512 – 199.12 = 0

RJ1 = 257.1/4.19 RJ1 = 61.36kN -----

∑fy = 0

RJ1 + RJ2 – 17.82 – (26.51 x 2.59) – (23.02 x 1.6) = 0 -----

Substitute into ,

61.36 + RJ2 – 17.82 – 68.66 – 36.83 = 0

RJ2 = 61.95kN


Shear Force Diagram

Point 1 = 61.36

Point 2 = 61.36 – (26.51 x 2.59)

= -7.3

Point 3 = -7.3 – 17.82

= -25.12

Point 4 = -25.12 – (23.02 x 1.6)

= -61.95

Point 5 = -61.95 + 61.95


Bending Point 1

= (61.36 x 2.3)/2

= 70.56

Bending Point 2

= 70.56 – (7.3 x 0.29)/2

= 69.5


Beam H-K/1 (First Floor | Primary Beam)

Dead Load:

Slab (H-J/1-3) = 3.6kN/m2 x (4.19m/2)

= 7.542kN/m

Slab (J-K/1-2) = 3.6kN/m2 x (1.81m/2)2/3

= 2.17kN/m

Brick Wall Weight = 3m x 0.1m x 19kN/m3

= 5.7kN/m


= 1.44kN/m

Total Dead Load:Total Dead Load at (H-J) = 7.542 + 5.7 + 1.44

= 14.68kN/m

Total Dead Load at (J-K) = 2.17 + 5.7 + 1.44= 9.31kN/m

Live Load: Slab (H-J/1-3) = Bedroom x (4.19m/2)

= 1.5kN/m2 x (4.19m/2)= 3.14kN/m

Slab (J-K/1-2) = Bathroom x (1.81m/2)2/3= 2.0kN/m2 x (1.81/2)2/3= 1.21kN/m

Total Live Load:Total Live Load at (H-J) = 3.14kN/mTotal Live Load at (J-K) = 1.21kN/mUltimate Load:Ultimate Load at (H-J) = TDL (1.4) + TLL (1.6)

=14.68(1.4) + 3.14(1.6)= 25.57kN/m

Ultimate Load at (J-K) = TDL (1.4) + TLL (1.6)


= 9.31(1.4) + 1.21(1.6)= 14.97kN/m

Load Diagram of Beam (H-K/1): Referring to Beam (J/1-3), Point Load at J/1 = 61.36kN

∑m = 0RH (6.3) – (25.57 X 4.49) (4.06) – (61.36) (1.81) – (14.97 X 1.81) (0.91) = 0

RH (6.3) – 466.13 – 111.06 – 24.66 = 0 RH = 601.85/6.3 RH = 95.53kN/m -----

∑fy = 0

RH + RK – 61.36 – (25.57 X 4.49) – (14.97 X 1.81) = 0 -----

Substitute into ,

95.53 + RK – 61.36 – 114.81 – 27.1 = 0

RK = 107.34kN


Shear Force Diagram

Point 1 = 95.53

Point 2 = 95.53 – (25.57 x 4.49)

= -19.28

Point 3 = -19.28 – 61.36

= -80.64

Point 4 = -80.64 – (14.97 x 1.81)

= -107.34

Point 5 = -107.34 + 107.34

= 0


Bending Point 1

= (95.53 x 3.73)/2

= 178.163

Bending Point 2

= 178.163 - (19.28 x 0.76)/2

= 170.837

Bending Point 3

= 170.837 – (80.64 + 107.34)/2 x 1.81

= 0


Beam I-K/3 (First Floor | Primary Beam)

Dead Load Slab (H-J/1-3) = 3.6kN/m2 x (4.49m/2)

= 7.54kN/m

Slab (I-N/3-5) = 3.6kN/m2 x (4.71/2)= 8.48kN/m

Slab (J-K/2-3) = 3.6kN/m2 x (1.6/2)= 2.88kN/m

Brick Wall Weight = 3m x 0.1m x 19kN/m3

= 5.7kN/m


= 1.44kN/m

Total Dead Load:Total Dead Load at (I-J) = 7.54 + 8.48 + 5.7 + 1.44

= 23.16kN/m

Total Dead Load at (J-K) = 18.5kN/m

Live Load: Slab (H-J/1-3) = Bedroom x (4.49m/2)

= 1.5kN/m2 x (4.49m/2)= 3.37kN/m

Slab (I-N/3-5) = Living Room x (4.71m/2)= 4.0kN/m2 x (4.71m/2)= 9.4kN/m

Slab (J-K/2-3) = Bedroom x (1.6m/2)= 1.5kN/m2 x(1.6m/2)= 1.2kN/m

Total Live Load:


Total Live Load at (I-J) = 3.37 + 9.4= 12.77kN/m

Total Live Load at (J-K) = 9.4 + 1.2= 10.6kN/m

Ultimate Load:Ultimate Load at (I-J) = TDL (1.4) + TLL (1.6)

= 23.16(1.4) + 12.77(1.6)= 52.85kN/m

Ultimate Load at (J-K) = TDL(1.4) + TLL(1.6)= 18.5(1.4) + 10.6(1.6)= 42.86kN/m

Load Diagram of Beam (I-K/3): Referring to Beam (J/1-3), Point Load at J/3 = 61.95kN/m

∑m = 0

RI(3.21) – (52.85 x 1.4) (2.51) – (61.95) (1.81) – (42.86 x 1.81) (0.91) = 0

RI(3.21) – 185.71 – 112.13 – 70.59 = 0

RI = 368.43/3.21

RI = 114.76kN -----

∑fy = 0

RI + RK – 61.95 – (52.85 X 1.4) – (42.86 X 1.81) = 0 -----

Substitute into ,

114.76 + RK – 61.95 – 73.99 – 77.58 = 0

RK = 98.76kN



Point 1 = 114.76

Point 2 = 114.76 – (52.85 x 1.4)

=40.77

Point 3 = 40.77 – 61.95

= - 21.18

Point 4 = -21.18 – (42.86 x 1.81)

= -98.76

Point 5 = -98.76 + 98.76

= 0


Bending Point 1

= (114.76 + 40.77)/2 x 1.4

= 108.87

Bending Point 2

= 108.87 - (21.18 + 98.76)/2 x 1.81

= 0


3.211.4

9.2 Joyce WeeColumn A/1 (Connected to All Floors)

-Roof Level-

Dead Load: Roof Slab = (3.155 x 2.09) m2 x 3.6kN/m2

= 6.59m2 x 3.6kN/m2

= 23.72kN

Roof Beam = (3.155 + 2.09) m x 1.44kN/m= 5.245m x 1.44kN/m= 7.55kN

Total Dead Load at Roof Level= 23.72kN + 7.55kN= 31.27kN

-First Floor-

Dead Load: Live Load: Slab = (3.155 x 2.09)m2 x 3.6kN/m2 Bedroom

= 6.59m2 x 3.6kN/m2 = (2.09m x 3.155m) x 1.5kN/m2

= 23.72kN = 9.89kN

Wall = (3.155m + 2.09m) x 5.7kN/m= 5.245m x 5.7kN/m= 29.9kN

Beam = (3.155m + 2.09m) x 1.44kN/m= 5.75m x 1.44kN/m= 7.55kN

Column = (0.3m x 0.3m x 3.0m) x 24kN/m3

= 6.48kN

Total Dead Load at First Floor Total Live Load at First Floor

= 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN= 67.65kN


-Ground Floor-

Dead Load: Live Load: Slab = (3.155 + 2.09) m2 x 3.6kN/m2 Bedroom

= 6.59m2 x 3.6kN/m2 = (3.155m x 2.09m) x 1.5kN/m2

= 23.72kN = 9.89kN

Wall = (3.155m + 2.09m) x 5.7kN/m= 5.245m x 5.7kN/m= 29.9kN

Beam = (3.155 + 2.09) m x 1.44kN/m= 5.245m x 1.44kN/m= 7.55kN

Column = 0.3m x 0.3m x 3.0m x 24kN/m3

= 6.48kN

Total Dead Load at Ground Floor Total Live Load at Ground Floor= 23.72kN + 29.9kN + 7.55kN + 6.48kN = 9.89kN = 67.65kN

Total Dead Load at Column D/3 Total Live Load at Column D/3

= 31.27kN + 67.65kN + 67.65kN = 9.89kN + 9.89kN= 166.57kN = 19.78kN

Ultimate Load at Column D/3= TDL (1.4) + TLL (1.6)= 166.57kN (1.4) + 19.78kN (1.6) = 233.198kN + 31.648kN= 264.85kN


Column D/3 (Connected to All Floors)

-Roof Level-

Dead Load: Live Load: Roof Slab = (3.66 x 3.94) m2 x 3.6kN/m2

= 14.42m2 x 3.6kN/m2

= 51.91kN

Roof Beam = (2.09 + 1.61 + 2.05) m x 1.44kN/m= 5.75m x 1.44kN/m= 8.28kN

Total Dead Load at Roof Level= 51.91kN + 8.28kN= 60.19kN

-First Floor-

Dead Load: Live Load: Slab = (3.36m2 + 2.98m2 + 3.79m2) x 3.6kN/m2 Bedroom

= 10.13m2 x 3.6kN/m2 = (2.09m x 1.61m) x 1.5kN/m2

= 36.468kN = 5.05kN

Wall = (2.09m + 1.61m) x 5.7kN/m Corridor= 3.7m x 5.7kN/m = (3.66m x 1.85m) x 4.0kN/m2

= 21.09kN = 27.08kN

Beam = (2.09m + 1.61m + 2.05m) x 1.44kN/m= 5.75m x 1.44kN/m= 8.28kN

Column = (0.3m x 0.3m x 3.0m) x 24kN/m3

= 6.48kN

Total Dead Load at First Floor Total Live Load at First Floor

= 36.47kN + 21.09kN + 8.28kN + 6.48kN = 5.05kN + 27.08kN= 72.32kN = 32.13kN


-Ground Floor-

Dead Load: Live Load: Slab = (1.61 + 2.05)m x (2.09 + 1.85)m x 3.6kN/m2 Bedroom

= (3.66m x 3.94m) x 3.6kN/m2 = (2.09m x 1.61m) x 1.5kN/m2

= 51.91kN = 5.05kN

Wall = (2.05m + 2.09m + 1.61m) x 5.7kN/m Corridor= 5.75m x 5.7kN/m = (1.85m x 1.61m) x 4.0kN/m2

= 32.78kN = 11.91kN

Beam = (2.05 + 2.09 + 1.61 + 1.85) m x 1.44kN/m Kitchen= 7.6m x 1.44kN/m = (3.94m x 2.05m) x 3.0kN/m2

= 10.944kN = 24.231kN


= 6.48kN

Total Dead Load at Ground Floor Total Live Load at Ground Floor= 51.91kN + 32.78kN + 10.944kN + 6.48kN = 5.05kN + 11.91kN +

24.23kN= 234.62kN = 41.19kN


= 60.19kN + 72.32kN + 102.11kN = 32.13kN + 41.19kN= 234.62kN = 73.32kN



Column D/6 (Acting on Ground Floor Only)

-Ground Floor-

Dead Load: Live Load: Slab = (1.7 + 1.34)m (1.61 + 3.83)m x 3.6kN/m2 Corridor

= (3.04m x 5.444m) x 3.6kN/m2 = (1.61m x 1.7) x 4.0kN/m2

= 59.54kN = 10.95kN

Wall = (1.7m + 3.83m) x 5.7kN/m Living Room= 5.53m x 5.7kN/m = (1.61m + 3.83m) x 1.34m x

4.0kN/m2

= 31.52kN = 29.16kN

Beam = (1.7 + 3.83 + 1.34 + 1.61) m x 1.44kN/m Storeroom= 8.48m x 1.44kN/m = (1.7m x 3.83m) x 2.5kN/m2

= 12.214kN = 16.28kN


= 6.48kN

Total Dead Load at Ground Floor Total Live Load at Ground Floor= 51.54kN + 31.52kN + 12.21kN + 6.48kN = 10.95kN + 29.16kN +

16.28kN= 109.75kN = 56.39kN


= 109.75kN = 56.39kN




Data & Analytics

Beam and Column Analysis | Individual Component