Abstract
This study predicts the shear strength of rectangular hollow reinforced concrete (RC) columns using artificial neural network (ANN). A total of 120 experimental results are collected from literature and used for establishing the machine learning model. The results reveal that the proposed ANN model predicts the shear strength of rectangular hollow RC columns accurately with \({R}^{2}\) of 0.99. Additionally, the relative importance of input parameters on the calculated shear strength of RC columns is evaluated using Shapley value. Based on the ANN model, a graphical user interface tool is also developed and readily used in predicting the shear strength of rectangular hollow RC columns.
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X-BN: formal analysis, validation, visualization, writing—original draft. V-LT: conceptualization, software, writing—original draft. H-TP: visualization, validation. D-DN: methodology, formal analysis, validation; writing —original draft, writing—review & editing, supervision.
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ID | \({L}_{\rm v}\)(mm) | \(B\)(mm) | \(H\)(mm) | \({t}_{\rm w}\)(mm) | \({\rho }_{\rm l}\)(%) | \({\rho }_{\rm w}\)(%) | \(s\)(mm) | \(f_{c}^{\prime}\)(MPa) | \({f}_{\rm yl}\)(MPa) | \({f}_{\rm yw}\)(MPa) | \(P\)(kN) | V (kN) | FM |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1500 | 400 | 600 | 100 | 0.88 | 0.12 | 120 | 19 | 540 | 655 | 148 | 168 | F |
2 | 1500 | 600 | 400 | 100 | 0.88 | 0.12 | 120 | 21 | 540 | 655 | 166 | 117 | F |
3 | 900 | 400 | 600 | 100 | 0.88 | 0.12 | 120 | 22 | 540 | 655 | 174 | 278 | FS |
4 | 900 | 600 | 400 | 100 | 0.88 | 0.12 | 120 | 21 | 540 | 655 | 168 | 193 | FS |
5 | 900 | 450 | 450 | 75 | 1.07 | 0.13 | 75 | 35 | 550 | 550 | 236 | 217 | FS |
6 | 900 | 450 | 450 | 75 | 1.07 | 0.13 | 75 | 24 | 550 | 550 | 507 | 247 | FS |
7 | 900 | 450 | 450 | 75 | 1.07 | 0.13 | 75 | 32 | 550 | 550 | 763 | 297 | FS |
8 | 1350 | 450 | 450 | 75 | 1.79 | 0.25 | 75 | 30 | 550 | 550 | 239 | 217 | FS |
9 | 1350 | 450 | 450 | 75 | 1.79 | 0.25 | 75 | 30 | 550 | 550 | 501 | 209 | FS |
10 | 1350 | 450 | 450 | 75 | 1.79 | 0.25 | 75 | 33 | 550 | 550 | 515 | 226 | FS |
11 | 1350 | 450 | 450 | 75 | 1.79 | 0.25 | 75 | 31 | 550 | 550 | 762 | 258 | FS |
12 | 1400 | 450 | 450 | 75 | 1.79 | 0.20 | 75 | 20 | 625 | 390 | 245 | 190 | FS |
13 | 1400 | 450 | 450 | 75 | 1.79 | 0.09 | 75 | 28 | 435 | 437 | 251 | 130 | FS |
14 | 1400 | 450 | 450 | 75 | 1.79 | 0.09 | 75 | 29 | 560 | 443 | 257 | 170 | S |
15 | 1400 | 450 | 450 | 75 | 1.79 | 0.19 | 75 | 29 | 560 | 443 | 257 | 210 | S |
16 | 1400 | 450 | 900 | 75 | 1.79 | 0.20 | 75 | 20 | 625 | 390 | 249 | 240 | S |
17 | 1400 | 450 | 900 | 75 | 1.79 | 0.09 | 75 | 28 | 435 | 437 | 251 | 190 | S |
18 | 1400 | 450 | 900 | 75 | 1.79 | 0.09 | 75 | 29 | 560 | 443 | 257 | 190 | S |
19 | 1400 | 450 | 900 | 75 | 1.79 | 0.19 | 75 | 29 | 560 | 443 | 257 | 250 | S |
20 | 900 | 600 | 400 | 100 | 0.88 | 0.12 | 120 | 17 | 540 | 655 | 136 | 278 | FS |
21 | 900 | 400 | 600 | 100 | 0.88 | 0.12 | 120 | 17 | 540 | 655 | 136 | 193 | FS |
22 | 1800 | 500 | 500 | 120 | 0.19 | 0.11 | 50 | 58 | 476 | 480 | 975 | 333 | F |
23 | 1800 | 500 | 500 | 120 | 0.19 | 0.11 | 50 | 63 | 476 | 480 | 1471 | 360 | F |
24 | 1800 | 500 | 500 | 120 | 0.19 | 0.06 | 40 | 70 | 476 | 480 | 983 | 332 | F |
25 | 1800 | 500 | 500 | 120 | 1.88 | 0.52 | 40 | 61 | 476 | 363 | 1449 | 350 | FS |
26 | 1500 | 500 | 500 | 120 | 1.88 | 0.52 | 40 | 51 | 476 | 363 | 1013 | 364 | S |
27 | 1500 | 500 | 500 | 120 | 1.88 | 0.52 | 40 | 50 | 476 | 363 | 544 | 302 | FS |
28 | 5400 | 1500 | 1500 | 300 | 1.90 | 0.28 | 150 | 34 | 476 | 480 | 4355 | 2350 | FS |
29 | 5400 | 1500 | 1500 | 300 | 1.90 | 0.28 | 150 | 29 | 476 | 480 | 8800 | 2610 | S |
30 | 5400 | 500 | 500 | 120 | 1.90 | 0.03 | 150 | 33 | 476 | 480 | 553 | 2440 | F |
31 | 5400 | 500 | 500 | 120 | 1.90 | 0.03 | 150 | 31 | 476 | 480 | 982 | 2840 | F |
32 | 1800 | 500 | 500 | 120 | 1.90 | 0.11 | 50 | 33 | 476 | 480 | 499 | 271 | F |
33 | 1500 | 500 | 500 | 120 | 1.90 | 0.03 | 50 | 20 | 476 | 405 | 501 | 270 | S |
34 | 1500 | 500 | 500 | 120 | 1.90 | 0.03 | 50 | 27 | 423 | 405 | 500 | 298 | F |
35 | 1500 | 500 | 500 | 120 | 1.90 | 0.03 | 50 | 29 | 423 | 405 | 499 | 295 | F |
36 | 1500 | 500 | 500 | 120 | 1.90 | 0.03 | 50 | 27 | 406 | 405 | 498 | 278 | F |
37 | 1800 | 500 | 500 | 120 | 1.90 | 0.11 | 50 | 28 | 406 | 480 | 500 | 241 | F |
38 | 2000 | 550 | 550 | 140 | 1.33 | 0.09 | 100 | 48 | 617 | 405 | 4418 | 429 | F |
39 | 2000 | 550 | 550 | 140 | 1.33 | 0.09 | 100 | 57 | 617 | 405 | 2617 | 316 | F |
40 | 2000 | 550 | 550 | 110 | 1.58 | 0.09 | 100 | 60 | 617 | 405 | 5432 | 423 | FS |
41 | 6500 | 1500 | 1500 | 300 | 1.08 | 0.11 | 80 | 34 | 460 | 343 | 4015 | 1580 | F |
42 | 4500 | 1500 | 1500 | 300 | 1.08 | 0.04 | 120 | 34 | 460 | 510 | 4015 | 2420 | F |
43 | 3500 | 1500 | 1500 | 300 | 1.72 | 0.03 | 200 | 32 | 418 | 420 | 3686 | 2650 | S |
44 | 4500 | 1000 | 1000 | 250 | 1.53 | 0.17 | 80 | 22 | 376 | 343 | 1650 | 671 | F |
45 | 4500 | 1000 | 1000 | 250 | 1.53 | 0.17 | 80 | 47 | 408 | 406 | 2468 | 727 | F |
46 | 900 | 600 | 900 | 130 | 1.80 | 0.01 | 900 | 25 | 340 | 340 | 0 | 525 | FS |
47 | 1200 | 600 | 900 | 130 | 1.80 | 0.01 | 1200 | 25 | 340 | 340 | 0 | 445 | FS |
48 | 1500 | 600 | 900 | 130 | 1.80 | 0.01 | 1500 | 25 | 340 | 340 | 0 | 341 | FS |
49 | 1800 | 600 | 900 | 130 | 1.80 | 0.00 | 1800 | 25 | 340 | 340 | 0 | 259 | FS |
50 | 900 | 600 | 900 | 80 | 2.70 | 0.01 | 900 | 25 | 340 | 340 | 0 | 337 | S |
51 | 900 | 600 | 900 | 180 | 1.80 | 0.01 | 900 | 25 | 340 | 340 | 0 | 522 | FS |
52 | 900 | 600 | 900 | 160 | 1.07 | 0.01 | 900 | 18 | 300 | 300 | 0 | 458 | FS |
53 | 900 | 600 | 900 | 130 | 1.26 | 0.01 | 900 | 18 | 300 | 300 | 0 | 392 | FS |
54 | 1200 | 600 | 900 | 130 | 1.26 | 0.01 | 1200 | 18 | 300 | 300 | 0 | 334 | FS |
55 | 1500 | 600 | 900 | 130 | 1.26 | 0.01 | 1500 | 18 | 300 | 300 | 0 | 269 | FS |
56 | 1800 | 600 | 900 | 130 | 1.26 | 0.00 | 1800 | 18 | 300 | 300 | 0 | 203 | FS |
57 | 900 | 600 | 900 | 130 | 0.63 | 0.01 | 900 | 18 | 300 | 300 | 0 | 381 | FS |
58 | 3500 | 1500 | 1500 | 300 | 1.69 | 0.03 | 200 | 32 | 418 | 420 | 3594 | 2633 | S |
59 | 3500 | 1500 | 1500 | 300 | 1.69 | 0.03 | 200 | 18 | 420 | 413 | 3888 | 2544 | F |
60 | 3500 | 1500 | 1500 | 300 | 1.69 | 0.03 | 200 | 38 | 418 | 420 | 3621 | 1530 | S |
61 | 2000 | 500 | 500 | 200 | 1.13 | 0.25 | 40 | 30 | 460 | 400 | 1350 | 178 | S |
62 | 2000 | 500 | 500 | 200 | 1.13 | 0.25 | 40 | 30 | 460 | 400 | 675 | 171 | F |
63 | 2000 | 500 | 500 | 200 | 1.13 | 0.13 | 80 | 25 | 460 | 400 | 675 | 173 | F |
64 | 2000 | 500 | 500 | 200 | 1.13 | 0.25 | 40 | 50 | 460 | 400 | 1350 | 215 | F |
65 | 2000 | 500 | 500 | 200 | 1.13 | 0.25 | 40 | 50 | 460 | 400 | 675 | 177 | F |
66 | 2000 | 500 | 500 | 200 | 1.13 | 0.13 | 80 | 36 | 460 | 400 | 675 | 173 | F |
67 | 1440 | 360 | 500 | 120 | 1.40 | 0.35 | 40 | 41 | 300 | 300 | 1001 | 147 | F |
68 | 1440 | 360 | 500 | 120 | 2.10 | 0.35 | 40 | 41 | 300 | 300 | 1001 | 146 | F |
69 | 1440 | 360 | 500 | 120 | 1.40 | 0.35 | 40 | 41 | 300 | 300 | 2002 | 223 | F |
70 | 1440 | 360 | 500 | 120 | 2.10 | 0.35 | 40 | 41 | 300 | 300 | 2002 | 225 | F |
71 | 1440 | 360 | 500 | 120 | 1.40 | 0.35 | 40 | 41 | 300 | 300 | 615 | 207 | FS |
72 | 1440 | 360 | 500 | 120 | 2.10 | 0.35 | 40 | 41 | 300 | 300 | 615 | 261 | FS |
73 | 2880 | 360 | 500 | 120 | 1.40 | 0.35 | 40 | 41 | 300 | 300 | 615 | 70 | F |
74 | 2880 | 360 | 500 | 120 | 2.10 | 0.35 | 40 | 41 | 300 | 300 | 615 | 72 | F |
75 | 2880 | 360 | 500 | 120 | 1.40 | 0.35 | 40 | 41 | 300 | 300 | 1229 | 106 | F |
76 | 2880 | 360 | 500 | 120 | 2.10 | 0.35 | 40 | 41 | 300 | 300 | 1229 | 197 | F |
77 | 2880 | 360 | 500 | 120 | 2.10 | 0.25 | 55 | 41 | 300 | 300 | 615 | 69 | F |
78 | 3600 | 360 | 500 | 120 | 1.40 | 0.35 | 40 | 41 | 300 | 300 | 615 | 93 | F |
79 | 3600 | 360 | 500 | 120 | 2.10 | 0.35 | 40 | 41 | 300 | 300 | 615 | 95 | F |
80 | 3600 | 360 | 500 | 120 | 1.40 | 0.35 | 40 | 41 | 300 | 300 | 1229 | 110 | F |
81 | 3600 | 360 | 500 | 120 | 2.10 | 0.35 | 40 | 41 | 300 | 300 | 1229 | 123 | F |
82 | 3600 | 360 | 500 | 120 | 2.10 | 0.25 | 55 | 41 | 300 | 300 | 615 | 93 | F |
83 | 3025 | 750 | 750 | 120 | 2.84 | 0.06 | 60 | 31 | 335 | 320 | 937 | 282 | F |
84 | 3025 | 750 | 750 | 120 | 2.84 | 0.13 | 30 | 31 | 335 | 320 | 4687 | 496 | FS |
85 | 3025 | 750 | 750 | 120 | 2.84 | 0.09 | 40 | 28 | 335 | 320 | 2540 | 415 | FS |
86 | 3025 | 750 | 750 | 120 | 2.84 | 0.06 | 60 | 28 | 335 | 320 | 2540 | 418 | FS |
87 | 5750 | 1020 | 2740 | 170 | 0.40 | 0.09 | 120 | 35 | 500 | 500 | 3663 | 1300 | F |
88 | 13,250 | 1020 | 2740 | 170 | 0.70 | 0.09 | 120 | 35 | 500 | 500 | 3663 | 800 | F |
89 | 4200 | 730 | 975 | 150 | 6.41 | 0.27 | 40 | 57 | 393 | 390 | 1880 | 1124 | F |
90 | 4200 | 730 | 975 | 150 | 6.41 | 0.27 | 40 | 49 | 393 | 390 | 430 | 1084 | F |
91 | 1420 | 500 | 360 | 100 | 1.40 | 0.04 | 150 | 39 | 335 | 235 | 510 | 105 | F |
92 | 4500 | 1000 | 1000 | 250 | 1.53 | 0.17 | 80 | 47 | 408 | 406 | 2468 | 727 | F |
93 | 4500 | 1000 | 1000 | 250 | 1.38 | 0.17 | 80 | 47 | 408 | 406 | 2468 | 699 | F |
94 | 4500 | 1000 | 1000 | 250 | 1.38 | 0.11 | 120 | 47 | 408 | 406 | 2468 | 697 | F |
95 | 1200 | 320 | 320 | 85 | 1.57 | 0.34 | 50 | 34 | 295 | 345 | 0 | 70 | S |
96 | 1200 | 320 | 320 | 85 | 1.57 | 0.17 | 50 | 34 | 295 | 345 | 299 | 90 | F |
97 | 1200 | 320 | 320 | 85 | 1.57 | 0.34 | 50 | 34 | 295 | 345 | 299 | 85 | F |
98 | 650 | 320 | 320 | 85 | 1.57 | 0.17 | 50 | 34 | 295 | 345 | 299 | 175 | S |
99 | 650 | 320 | 320 | 85 | 1.57 | 0.34 | 50 | 34 | 295 | 345 | 299 | 190 | S |
100 | 4000 | 890 | 1000 | 70 | 0.98 | 0.26 | 50 | 39 | 437 | 374 | 1921 | 212 | FS |
101 | 4500 | 1000 | 1000 | 250 | 1.53 | 0.17 | 80 | 23 | 376 | 343 | 1710 | 671 | FS |
102 | 4500 | 1000 | 1000 | 250 | 1.38 | 0.17 | 80 | 23 | 376 | 343 | 1710 | 647 | FS |
103 | 1800 | 400 | 250 | 80 | 2.65 | 0.06 | 110 | 45 | 270 | 335 | 527 | 77 | F |
104 | 1800 | 400 | 250 | 80 | 2.65 | 0.06 | 110 | 45 | 270 | 335 | 702 | 82 | F |
105 | 1800 | 400 | 250 | 80 | 2.65 | 0.06 | 110 | 45 | 270 | 335 | 1054 | 84 | F |
106 | 1800 | 400 | 250 | 80 | 2.65 | 0.06 | 110 | 38 | 270 | 335 | 601 | 82 | F |
107 | 1350 | 400 | 400 | 100 | 2.53 | 0.07 | 100 | 24 | 374 | 363 | 230 | 200 | FS |
108 | 3780 | 840 | 840 | 150 | 1.15 | 0.16 | 60 | 59 | 390 | 343 | 1650 | 490 | F |
109 | 3780 | 840 | 840 | 150 | 1.15 | 0.08 | 120 | 40 | 390 | 343 | 1650 | 490 | F |
110 | 2100 | 840 | 840 | 150 | 1.15 | 0.16 | 60 | 45 | 390 | 343 | 1633 | 800 | FS |
111 | 2100 | 840 | 840 | 150 | 1.15 | 0.08 | 120 | 45 | 390 | 343 | 1633 | 800 | FS |
112 | 3780 | 840 | 840 | 150 | 1.15 | 0.16 | 60 | 40 | 390 | 343 | 1650 | 490 | F |
113 | 3780 | 840 | 840 | 150 | 1.15 | 0.16 | 60 | 50 | 357 | 343 | 1650 | 780 | FS |
114 | 2100 | 840 | 840 | 150 | 3.07 | 0.16 | 60 | 50 | 357 | 343 | 1633 | 1350 | FS |
115 | 1240 | 500 | 360 | 100 | 0.91 | 1.60 | 60 | 64 | 335 | 235 | 840 | 96 | F |
116 | 1240 | 500 | 360 | 100 | 1.33 | 1.60 | 60 | 64 | 335 | 235 | 840 | 186 | F |
117 | 1440 | 500 | 360 | 120 | 1.40 | 0.14 | 40 | 41 | 393 | 389 | 615 | 195 | F |
118 | 1440 | 500 | 360 | 120 | 1.40 | 0.14 | 40 | 41 | 393 | 389 | 1229 | 294 | F |
119 | 3500 | 1500 | 1500 | 300 | 1.08 | 0.03 | 200 | 33 | 423 | 392 | 3756 | 2600 | S |
120 | 8400 | 800 | 1600 | 160 | 1.15 | 0.03 | 200 | 51 | 500 | 700 | 1700 | 530 | F |
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Nguyen, XB., Tran, VL., Phan, HT. et al. Predicting shear capacity of rectangular hollow RC columns using neural networks. Asian J Civ Eng 25, 2509–2520 (2024). https://doi.org/10.1007/s42107-023-00924-7
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DOI: https://doi.org/10.1007/s42107-023-00924-7