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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