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Table 10 Trend line comparison

From: Enhancing the Performance of Knee Beam–Column Joint Using Hybrid Fibers Reinforced Concrete

Specimen

Test

Trend line equation

Correlation factor

FFC

Experimental

y = − 2E − 10x6 − 4E − 08x5 − 5E − 08x4 + 0.0002x3 + 0.0135x2 + 1.3028x + 1.6788

0.9964

Numerical

y = 1E − 09x6 − 6E − 08x5 − 1E − 05x4 + 0.0003x3 + 0.0311x2 + 1.229x + 4.2755

0.9905

F6U3

Experimental

y = 4E − 10x6 − 2E − 08x5 − 6E − 06x4 + 8E − 05x3 + 0.0276x2 + 1.3686x + 1.5331

0.9841

Numerical

y = 2E − 10x6 − 1E − 08x5 − 4E − 06x4 + 4E − 05x3 + 0.0161x2 + 1.0919x + 4.338

0.9844

F6S3

Experimental

y = 2E − 10x6 − 3E − 08x5 − 4E − 06x4 + 0.0002x3 + 0.0222x2 + 0.8263x − 2.3051

0.9803

Numerical

y = 1E − 10x6 − 2E − 08x5 − 3E − 06x4 + 0.0001x3 + 0.0141x2 + 0.6292x + 0.0722

0.9896

F6E3

Experimental

y =  − 2E − 10x6 − 3E − 08x5 + 2E − 06x4 + 0.0003x3 − 0.0035x2 + 0.674x + 0.9413

0.9830

Numerical

y =  − 3E − 11x6 − 2E − 08x5 + 2E − 07x4 + 0.0002x3 + 0.0009x2 + 0.3875x − 0.7654

0.9898

F6N3

Experimental

y =  − 1E − 10x6 − 2E − 08x5 + 2E − 06x4 + 0.0002x3 − 0.0023x2 + 0.4527x + 2.707

0.9934

Numerical

y =  − 9E − 11x6 − 8E − 09x5 + 1E − 06x4 + 0.0001x3 − 0.0036x2 + 0.3778x + 4.0899

0.9973