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Transcript of Beam
Beam W L M1 M2 V1 V2 x Mmax
Load case 011b-2 16.30 1.56 0 41.2 (13.70) 39.2 (0.84) (5.80) 0.84 (0.84) - (1.68) 2.65 2.79 2-3 59.10 3.50 41.2 65 96.70 110.2 1.64 (38.00) 1.13 (1.13) 2.77 0.50 2.81 2.94 3-4 51.50 3.50 65 41.1 97.00 83.3 1.89 (26.40) 1.01 (1.01) 2.90 0.87 2.18 2.43 4-5 51.50 3.50 41.1 89.2 76.40 103.9 1.49 (15.60) 0.78 (0.78) 2.26 0.71 3.82 3.91 5-7 54.50 4.55 89.2 66.6 129.00 119 2.37 (63.50) 1.53 (1.53) 3.89 0.84 2.86 2.95 7-8b 24.20 2.86 66.6 0 57.90 11.4 2.39 (2.70) 0.47 (0.47) 2.86 1.92
Load case 021b-2 11.80 1.56 0 39 (15.80) 34.3 (1.34) (10.60) 1.34 (1.34) - (2.68)2-3 59.10 3.50 39 70.3 94.50 112.4 1.60 (36.60) 1.11 (1.11) 2.71 0.49 3-4 59.70 3.50 70.3 46 111.50 97.5 1.87 (33.90) 1.06 (1.06) 2.93 0.80 4-5 51.50 3.50 46 88.1 78.10 102.2 1.52 (13.30) 0.72 (0.72) 2.23 0.80 5-7 54.50 4.55 88.1 66.9 128.70 119.3 2.37 (63.90) 1.53 (1.53) 3.89 0.83 7-8b 24.20 2.86 66.9 0 58.00 11.3 2.40 (2.70) 0.46 (0.46) 2.86 1.93
Load case 031b-2 11.80 1.56 0 32 (11.30) 29.8 (0.96) (5.50) 0.96 (0.96) - (1.92)2-3 51.30 3.50 32 63.8 80.70 98.9 1.58 (31.50) 1.11 (1.11) 2.68 0.47 3-4 59.70 3.50 63.8 53 107.60 101.4 1.81 (33.20) 1.05 (1.05) 2.86 0.75 4-5 59.70 3.50 53 91.3 93.60 115.4 1.57 (20.40) 0.83 (0.83) 2.39 0.74 5-7 54.50 4.55 91.3 64.4 129.90 118.1 2.39 (63.60) 1.53 (1.53) 3.91 0.86 7-8b 24.20 2.86 64.4 0 57.20 12.1 2.37 (3.20) 0.51 (0.51) 2.88 1.85
Load case 04
Minimun (L)
Maximum (L)
1b-2 11.80 1.56 0 34.2 (12.70) 31.2 (1.08) (6.90) 1.08 (1.08) - (2.15)2-3 51.30 3.50 34.2 59.1 82.70 96.9 1.62 (32.50) 1.12 (1.12) 2.74 0.49 3-4 51.50 3.50 59.1 45.9 93.90 86.4 1.83 (26.60) 1.01 (1.01) 2.84 0.81 4-5 59.70 3.50 45.9 99.5 89.20 119.8 1.50 (20.80) 0.83 (0.83) 2.33 0.66 5-7 60.20 4.55 99.5 71.1 143.20 130.8 2.38 (70.90) 1.53 (1.53) 3.91 0.84 7-8b 24.20 2.86 71.1 0 59.50 9.8 2.46 (2.10) 0.41 (0.41) 2.87 2.05
Load case 051b-2 11.80 1.56 0 33.7 (12.40) 30.9 (1.05) (6.60) 1.05 (1.05) - (2.10)2-3 51.30 3.50 33.7 60.4 82.20 97.4 1.61 (32.20) 1.12 (1.12) 2.72 0.48 3-4 51.50 3.50 60.4 41.7 95.50 84.8 1.86 (28.20) 1.05 (1.05) 2.90 0.81 4-5 51.50 3.50 41.7 93.6 75.30 105 1.47 (13.40) 0.72 (0.72) 2.18 0.74 5-7 60.20 4.55 93.6 78.5 140.30 133.7 2.33 (69.90) 1.52 (1.52) 3.85 0.81 7-8b 37.00 2.86 78.5 0 80.40 25.5 2.18 (8.90) 0.69 (0.69) 2.86 1.48
Load case 061b-2 11.80 1.56 0 41.1 (17.10) 35.6 (1.45) (12.40) 1.45 (1.45) - (2.90)2-3 59.10 3.50 41.1 63.5 97.10 109.8 1.65 (38.70) 1.14 (1.14) 2.79 0.50 3-4 51.50 3.50 63.5 46.9 94.90 85.4 1.85 (24.00) 0.96 (0.96) 2.81 0.88 4-5 59.70 3.50 46.9 91.3 91.80 117.2 1.54 (23.70) 0.89 (0.89) 2.43 0.65 5-7 54.50 4.55 91.3 71.6 128.40 119.6 2.36 (60.00) 1.48 (1.48) 3.84 0.87 7-8b 37.00 2.86 71.6 0 78.00 27.9 2.11 (10.70) 0.76 (0.76) 2.87 1.35
Load case 071b-2 16.30 1.56 0 32.4 (8.10) 33.6 (0.50) (2.10) 0.50 (0.50) - (0.99)2-3 51.30 3.50 32.4 65.7 80.30 99.3 1.57 (30.50) 1.09 (1.09) 2.65 0.48 3-4 59.70 3.50 65.7 45.9 110.20 98.8 1.85 (36.10) 1.10 (1.10) 2.94 0.75 4-5 51.50 3.50 45.9 91.4 77.20 103.1 1.50 (12.00) 0.68 (0.68) 2.18 0.82
5-7 60.20 4.55 91.4 82.1 139.00 135 2.31 (69.10) 1.51 (1.51) 3.82 0.79 7-8b 21.20 2.86 82.1 0 59.10 1.6 2.79 (0.30) 0.16 (0.16) 2.95 2.63
BM
1 2 3 4 5 6 0.50 0.47 1a 0 0 0 0 0 0 0 0.88 0.75 2 1.56 41.2 39 32 34.2 33.7 41.1 0.82 0.65 span 3.20 (38.00) (36.60) (31.50) (32.50) (32.20) (38.70) 0.87 0.79 3 5.06 65 70.3 63.8 59.1 60.4 63.5 2.63 1.35 span 6.95 (26.40) (33.90) (33.20) (26.60) (28.20) (24.00) - 4 8.56 41.1 46 53 45.9 45.9 46.9
span 10.05 (15.60) (13.30) (20.40) (20.80) (13.40) (23.70)5 12.06 89.2 88.1 91.3 99.5 99.5 91.3
span 14.43 (63.50) (63.90) (63.60) (70.90) (69.90) (60.00)7 16.61 66.6 66.9 64.4 71.1 78.5 71.6
span 19.00 (2.70) (2.70) (3.20) (2.10) (8.90) (10.70)8b 19.47 0 0 - 0 0 0
Maximum (S)
Minimum (S)
0 5 10 15 20 25
-80
-60
-40
-20
0
20
40
60
80
100
120
0 5 10 15 20 25
-80
-60
-40
-20
0
20
40
60
80
100
120
BM SF
7 1 2 3 4 5 6 70 (13.70) -15.8 -11.3 -12.7 -12.4 -17.1 -8.1
32.4 39.2 34.3 29.8 31.2 30.9 35.6 33.6 (30.50) 96.7 94.5 80.7 82.7 82.2 97.1 80.3
65.7 110.2 112.4 98.9 96.9 97.4 109.8 99.3 (36.10) 97.00 111.5 107.6 93.9 95.5 94.9 110.2
45.9 83.3 97.5 101.4 86.4 84.8 85.4 98.8 (12.00) 76.4 78.1 93.6 89.2 75.3 91.8 77.2
91.4 103.9 102.2 115.4 119.8 105 117.2 103.1 (69.10) 129.00 128.7 129.9 143.2 140.3 128.4 139
82.1 119 119.3 118.1 130.8 133.7 119.6 135 (0.30) 57.9 58 57.2 59.5 80.4 78 59.1
0 11.4 11.3 12.1 9.8 25.5 27.9 1.6
0 5 10 15 20 25
-80
-60
-40
-20
0
20
40
60
80
100
120
0 5 10 15 20 25
-80
-60
-40
-20
0
20
40
60
80
100
120
Load calculations of beams
Beam Span
Loads on second floor beams Loads on first floor beams Loads on roof slab beams
Permanent loads (gk) / kN/m Permanent loads (gk) / kN/m
From slab panels Total Total From slab panels Total Total Total Total
D (1b-8b)
1b-2 3.9 S14 - - 3.9 1.8 - 1.8 9.6 S13 - 20.6 30.2 1.5 - 1.5 - - - - -
2-3 7.2 S11 & S14 - 20.6 27.8 2.9 - 2.9 13.9 S08 & S13 - 20.6 34.5 2.6 - 2.6 - - - - -
3-4 5.1 S12 & S15 - 20.6 25.7 2.1 - 2.1 3.4 S09 - 20.6 24.0 0.8 - 0.8 - - - - -
4-5 5.1 S13 & S16 - 20.6 25.7 2.1 - 2.1 3.4 S10 - 20.6 24.0 0.8 - 0.8 - - - - -
5-7 7.9 S09 & S17 - 20.6 28.5 2.3 - 2.3 - - - - - - - - - - - - -
7-8b 3.1 S18 1.8 - 4.9 1.6 6.8 8.4 3.6 S12 1.8 - 5.4 1.8 6.8 8.6 5.7 S02 5.7 1.7 1.7
4 (B1-H) B1-C 11.0 S15 & S16 - - 11.0 5.6 - 5.6 - - - - - - -
C-D 11.0 S15 & S16 - - 11.0 5.6 - 5.6 - - - - - - -
D-E 9.2 S12 & S13 - 20.6 29.8 2.8 - 2.8 12.0 S09 & S10 - 20.6 32.6 2.8 - 2.8
E-G 10.4 S07 & S08 - 20.6 31.0 2.4 - 2.4 9.6 S03 & S06 - 20.6 30.2 2.9 - 2.9
G-H - - - - - - 5.7 S03 - 20.6 26.3 1.7 - 1.7
* In addition to the above loads there is a point load at node "G" as follows,
Second floor First floor
108.10 kN 13.2 kN
7.00 kN 3.50 kN
5 (A-H) A-B1 - - - - - - - 2.6 S14 - - 2.6 1.2 - 1.2
B1-C 11.0 S16 & S17 - - 11.0 5.6 - 5.6 2.6 S14 - - 2.6 1.2 1.2
C-D 11.0 S16 & S17 - - 11.0 5.6 - 5.6 9.3 S11 - 20.6 29.9 2.3 2.3
D-E 17.5 S09 & S13 - 20.6 38.1 4.1 - 4.1 15.3 S10 & S11 - 20.6 35.9 2.7 2.7
E-F 18.1 S08 & S09 - 20.6 38.7 3.9 - 3.9 13.2 S06 & S11 - 20.6 33.8 2.4 2.4
F-G 8.1 S05 & S08 - 20.6 28.7 2.1 - 2.1 6.8 S05 & S06 - 20.6 27.4 2.1 - 2.1
Variable loads (qk) / kN/m
Variable loads (qk) / kN/m
Permanent loads (gk) / kN/m
Variable loads (qk) / kN/m
From staircase
From brick work
From slab
panelFrom
staircaseFrom
staircaseFrom brick work
From slab
panelFrom
staircaseFrom slab
panelsFrom slab
panel
Gk = Gk =
Qk = Qk =
G-H 2.9 S05 - 20.6 23.5 0.9 - 0.9 2.9 S05 - 20.6 23.5 0.9 - 0.9
* In addition to the above loads there is a point load at node "F" & "G"as follows,
Second floor First floor
F- 20.80 kN F- 18.5 kN
5.00 kN 5.00 kN
G- 14.6 kN G- 13.2 kN
3.50 kN 3.50 kN
Gk = Gk =
Qk = Qk =
Gk = Gk =
Qk = Qk =
Design of beam for Hogging moment, Sagging moment & Shear
Beam Span Location SF /kN
Before curtailment
Curtailment
Theoritical Shifted
X1 X2 X1 X2 X1 X2 Remarks Links
D(1
b-8b
)
1b-2
Support 1 35 350 225 297 1.3 -3.58 0.003 Singly R/F 282.2 11.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit 4.50 159.9 No crushing (θ=22) 7.00 29.80 H 8 @ 200
Span 35 350 225 - 297 1562 0 0 0.00 - N/A 282.2 N/A 0.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit
Support 2 35 350 225 297 16.69 17.93 0.034 Singly R/F 282.2 136.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit 17.00 159.9 No crushing (θ=22) 14.00 29.80 H 8 @ 200
2-3
Support 1 35 350 225 297 21.27 70.01 0.043 Singly R/F 282.2 174.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit 63.00 159.9 No crushing (θ=22) 51.00 29.80 H 8 @ 200
Span 35 350 225 125 297 3500 715 35.51 0.00 0.023 Singly R/F 282.2 Flange 290.0 339 3 H 12 226 2 H 12 20.6 750 2425 418 2775 70 3120 Within the limit
Support 2 35 350 225 297 48.54 85.20 0.098 Singly R/F 268.7 416.0 427 2 H 12, 1 H 16 226 2 H 12 20.6 450 - 783 1540 - Within the limit 79.00 159.9 No crushing (θ=22) 68.00 36.80 H 8 @ 200
3-4
Support 1 35 350 225 297 45.85 69.47 0.093 Singly R/F 270.3 390.0 427 2 H 12, 1 H 16 226 2 H 12 20.6 400 - 750 1510 - Within the limit 66.00 159.9 No crushing (θ=22) 55.50 36.80 H 8 @ 200
Span 35 350 225 125 297 3500 715 19.43 0.00 0.013 Singly R/F 282.2 Flange 159.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit
Support 2 35 350 225 297 33.69 62.75 0.068 Singly R/F 278 279.0 339 3 H 12 226 2 H 12 20.6 250 - 595 1090 - Within the limit 57.00 159.9 No crushing (θ=22) 45.00 34.10 H 8 @ 200
4-5
Support 1 35 350 225 297 32.09 57.60 0.065 Singly R/F 278.9 265.0 339 3 H 12 226 2 H 12 20.6 300 - 650 1145 - Within the limit 53.00 159.9 No crushing (θ=22) 45.00 34.10 H 8 @ 200
Span 35 350 225 125 297 3500 715 13.37 0.00 0.009 Singly R/F 282.2 Flange 109.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit
Support 2 35 350 225 297 64.15 75.30 0.130 Singly R/F 257.8 573.0 716 2 H 16, 1 H 20 402 2 H 16 34.5 450 - 770 1795 - Within the limit 70.00 159.9 No crushing (θ=22) 62.00 43.70 H 8 @ 200
5-7
Support 1 35 350 225 297 70.2 105.05 0.142 Singly R/F 253.5 637.0 716 2 H 16, 1 H 20 402 2 H 16 34.5 400 - 750 1775 - Within the limit 101.00 159.9 No crushing (θ=22) 88.00 43.70 H 8 @ 200
Span 35 350 225 150 297 4550 862 54.76 0.00 0.029 Singly R/F 282.2 Flange 447.0 515 2 H 16, 1 H 12 402 2 H 16 34.5 1300 3500 972 3850 625 4195 Within the limit
Support 2 35 350 225 297 52.79 97.29 0.107 Singly R/F 265.7 457.0 515 2 H 16, 1 H 12 402 2 H 16 34.5 400 - 729 1225 - Within the limit 92.50 159.9 No crushing (θ=22) 81.00 39.20 H 8 @ 200
7-8b
Support 1 35 350 225 297 44.89 73.73 0.091 Singly R/F 270.9 381.0 515 2 H 16, 1 H 12 402 2 H 16 34.5 350 - 700 1195 - Within the limit 69.50 159.9 No crushing (θ=22) 56.00 39.20 H 8 @ 200
Span 35 350 225 - 297 4550 0 20.92 0.00 0.043 Singly R/F 282.2 N/A 171.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit
Support 2 35 350 225 297 4.99 45.15 0.011 Singly R/F 282.2 41.0 226 2 H 12 226 2 H 12 20.6 - - - - No curtailment Within the limit 41.00 159.9 No crushing (θ=22) 27.00 29.80 H 8 @ 200
B1-C
Support 1 35 350 225 297 - - - N/A ### 0.0 402 2 H 16 Within the limit 159.9 No crushing (θ=22) 36.10 #DIV/0!
Span 35 350 225 125 297 1000 0 - - ### #DIV/0! ### ### #DIV/0! 226 2 H 12 Within the limit
Support 2 35 350 225 297 13 26.00 0.027 Singly R/F ### 106.0 226 2 H 12 Within the limit 23.10 159.9 No crushing (θ=22) 15.40 29.80 H 8 @ 200
C-D
Support 1 35 350 225 297 15.9 25.30 0.033 Singly R/F ### 130.0 402 2 H 16 Within the limit 22.30 159.9 No crushing (θ=22) 14.40 36.10 H 8 @ 200
Span 35 350 225 125 297 1,600.0 - - - ### #DIV/0! ### ### #DIV/0! 226 2 H 12 Within the limit
Support 2 35 350 225 297 9.1 17.60 0.019 Singly R/F ### 75.0 226 2 H 12 Within the limit 14.60 159.9 No crushing (θ=22) 6.70 29.80 H 8 @ 200
D-E
Support 1 35 350 225 297 18.2 71.20 0.037 Singly R/F ### 149.0 402 2 H 16 Within the limit 64.40 159.9 No crushing (θ=22) 46.30 36.10 H 8 @ 200
Span 35 350 225 125 297 2,950.0 - 22.7 - ### #DIV/0! ### ### #DIV/0! 226 2 H 12 Within the limit
Support 2 35 350 225 297 76.4 ### 0.154 Singly R/F ### 706.0 226 2 H 12 Within the limit ### 159.9 No crushing (θ=22) 83.70 29.80 H 8 @ 200
E-H
Support 1 35 400 225 347 91.6 ### 0.136 Singly R/F ### 705.0 402 2 H 16 Within the limit ### 186.9 No crushing (θ=22) ### 38.70 H 8 @ 250
Span 35 400 225 125 347 3,950.0 - 79.1 - ### #DIV/0! ### ### #DIV/0! 226 2 H 12 Within the limit
Support 2 35 400 225 347 28.3 96.10 0.042 Singly R/F ### 198.0 226 2 H 12 Within the limit 89.10 186.9 No crushing (θ=22) 67.20 31.90 H 8 @ 250
Nominal
cover (mm)
Beam depth
(h) /mm
Beam width (mm)
Flange thick. /
mm
Effective depth (deff) / mm
Effective length
(leff) / mm
Effective flange width /
mm
BM /kNm
Singly R/F or Doubly R/F Lever
arm (Z)
/mm
Location of
Neutral axis
As,required / mm2
Maxm/min m R/F percentage
Crushing srength of concrete struts (at column face)
Shear links (at distance "d" from column face)
As,provided / mm2
Moment resistance
(MR1)
Practical cut off points
K = M / bd2fck
As,provided / mm2 VEf / kN
VRd,max / kN
VEd / kN
VRd,c / kN
Shear R/F not
required
Shear R/F
required
Shear R/F
required
Shear R/F
required
Shear R/F
required
Shear R/F
required
Shear R/F not
required
Shear R/F not
required
Shear R/F
required
Shear R/F
required
Deflection check
35.6 5.3 Ok
25.1 11.8 Ok
62.1 11.8 Ok
65.6 11.8 Ok
23 15.4 Ok
69.7 15.4 Ok
#DIV/0! 3.4 ###
#DIV/0! 5.4 ###
#DIV/0! 10 ###
#DIV/0! 11.4 ###
l/d (allowable)
l/d
(actual)