Table 5 Comparison of test values with ML model predictions and codes calculations.

From: Prediction model of axial compressive bearing capacity of concrete-encased steel composite columns based on SHAP and machine learning

Number

Test value

(kN)

ML-based prediction (kN)

XGBoost

ANN

RF

1

2783.00

2695.18

2732.90

2455.09

2

3000.40

2857.22

3021.17

3053.27

3

3173.60

3078.03

3248.53

3153.08

4

3161.30

3013.24

3197.56

3154.70

5

3057.40

2948.46

3146.58

3100.55

6

3086.00

3077.51

3248.39

3148.86

7

3293.40

3078.56

3248.69

3247.27

8

2971.20

2832.16

3236.72

2495.89

9

3329.80

3235.22

3433.93

3363.98

10

3603.60

3413.69

3635.54

3547.07

11

3257.40

3413.17

3635.39

3547.17

12

3671.40

3414.22

3635.70

3578.32

13

1255.10

1327.20

1502.83

1722.62

14

2560.40

2454.01

2419.15

2803.92

15

2653.20

2562.67

2654.34

2807.35

16

2514.00

2482.64

2513.78

2461.02

17

2845.60

2581.98

2849.65

2942.11

18

2987.50

3014.36

3090.35

2999.89

19

2961.20

3010.44

3087.39

2957.71

20

2585.60

2509.17

2825.45

2523.53

21

2938.50

3112.49

3161.32

2996.90

22

3067.70

3344.87

3402.03

3117.87

23

3060.60

3440.96

3599.06

3078.49

24

2332.90

2085.30

2104.24

2222.74

25

2468.90

2234.17

2440.10

2747.21

26

2601.00

2387.66

2529.67

2725.35

27

2623.30

2655.24

2677.85

2764.76

28

4200.00

3921.89

3782.55

4152.59

29

4340.00

4700.81

4347.02

4377.57

30

4596.00

4649.21

4913.32

4503.56

31

4462.00

4039.22

4235.55

5012.83

32

4878.00

4881.78

4806.46

5032.66

33

5383.00

5642.23

5377.82

5317.67

34

5120.00

5339.25

5309.85

5234.59

35

4848.00

5136.28

5241.88

5024.29

36

4847.00

4561.72

4847.23

5096.22

37

5487.00

4994.88

5371.22

5396.27

38

6220.00

5848.61

5909.01

5833.94

39

4220.00

3858.06

4683.81

4233.17

40

4228.00

3832.02

4741.49

4199.27

41

4399.00

4064.39

4893.69

4346.90

42

4441.00

4362.00

5004.94

4565.99

43

4519.00

4362.20

5205.15

4589.10

44

4527.00

4357.05

5196.54

4545.58

45

3788.00

3571.40

3637.06

3729.56

46

3683.00

3543.29

3585.91

3746.38

47

3630.00

3571.40

3637.06

3729.56

48

3893.00

3599.07

3688.94

3838.58

49

3602.00

3881.52

4071.22

3474.56

50

3502.00

3773.61

4059.40

3435.72

51

3836.00

4039.39

4556.77

3988.04

52

3854.00

4103.68

4260.97

4017.62

53

3063.00

2715.66

2877.96

3061.81

54

3009.00

2822.13

2887.05

3044.10

55

3696.00

3580.66

3695.80

3724.98

56

3088.00

2828.73

2896.19

3079.84

57

3748.00

3574.04

3683.93

3749.22

58

3744.00

3569.18

3674.96

3748.28

59

9611.00

10108.56

9739.51

9674.34

60

9926.00

9945.63

9503.05

9798.05

61

10156.00

10656.34

9988.04

11812.12

62

12003.00

11749.33

11937.19

11551.53

63

12862.00

11723.18

11894.68

11660.93

64

13569.00

13038.63

12674.38

13575.50

65

9327.00

9463.47

9188.68

9410.44

66

10317.00

10128.81

10267.10

9908.55

67

10796.00

10685.23

10797.95

11700.66

68

3809.00

3994.21

3808.78

3659.70

69

3838.00

3993.99

3908.54

3682.48

70

3855.00

4174.10

4657.93

3890.44

71

4010.00

4373.87

4657.69

3950.09

72

1050.00

1040.36

823.61

1128.96

73

1170.00

1040.43

1023.82

1154.77

74

4475.40

4607.19

4852.20

6051.15

75

5936.20

6075.02

7262.21

6219.38

76

6250.10

6875.56

7262.36

6220.97

77

6888.90

6976.64

7262.67

6498.88

78

18188.00

18624.55

17693.14

14785.53

79

17952.00

18624.68

17693.06

14785.53

80

5180.00

5984.62

5632.72

6639.84

81

6760.00

7272.45

7605.13

7252.49

82

5758.00

5671.59

5756.98

5991.45

83

1900.00

1860.59

1725.58

1730.98

84

1457.00

1629.30

1535.87

1519.77

85

1270.00

1361.61

1343.31

1352.94

86

1183.00

1150.14

1182.23

1312.94

87

1040.00

1154.35

1130.95

1332.05

88

1330.00

1352.07

1561.15

1465.08

89

9611.00

10096.72

9837.91

9427.28

90

2071.00

1906.61

2192.08

2286.80

91

2873.00

2834.36

3629.13

3057.01

92

2744.00

2910.06

3206.43

2941.99

93

2632.00

2767.07

3144.32

3117.96

94

2868.00

2810.30

3206.50

2979.57

95

3469.00

3578.07

4503.39

2990.49

96

3225.77

3442.72

3285.74

3089.12

97

11084.00

10870.21

9376.70

10685.45

98

9674.00

9082.01

9308.53

9629.38

99

9857.00

9382.07

9308.59

9684.28

100

10297.00

9582.20

9308.73

10152.97

101

9241.00

9479.22

9240.76

9288.83

102

887.37

966.70

887.40

933.33

103

1037.28

1109.20

1036.27

1028.74

104

936.70

1069.18

1183.93

1039.15

105

1110.80

1209.55

1036.39

1099.81

106

903.18

1008.99

1036.19

946.16

107

1070.19

969.20

1036.27

1028.74

108

7200.00

6896.10

5801.78

3182.54

109

2810.00

2686.29

2512.18

2334.87

110

2917.00

3126.18

2795.12

2946.54

111

3016.00

3240.58

2849.29

2982.02

112

3148.00

3418.99

3232.91

3085.44

113

635.00

705.86

624.07

795.69

114

1099.00

1160.67

480.19

1011.64

115

921.70

1069.07

207.50

1121.91

116

1549.90

1676.81

1311.75

1425.16