Flexural Modelling and Finite Element Analysis of FRC Beams Reinforced with PVA and Basalt Fibres and Their Validation
Table 3
Estimated coefficients k2, k1, α1, and β1.
Series
Cylinder IDs
Coefficients ,,, and using compressive stress-strain relationship
Coefficients ,,, and using experimental results
Cylinder 1
Cylinder 2
Cylinder 1
Cylinder 2
“P”
P-0
0.424
0.640
0.68
0.85
0.469
0.559
0.54
0.94
0.491
0.597
0.55
0.98
0.504
0.551
0.59
0.84
PP-1
0.373
0.699
0.84
0.75
0.377
0.671
0.80
0.75
0.436
0.646
0.67
0.87
0.440
0.639
0.65
0.88
PP-2
0.359
0.713
0.89
0.72
0.348
0.698
0.90
0.70
0.399
0.718
0.81
0.80
0.393
0.696
0.80
0.79
PP-3
0.348
0.668
0.86
0.70
0.368
0.689
0.84
0.74
0.427
0.627
0.66
0.85
0.400
0.716
0.81
0.80
PB-1
0.433
0.63
0.65
0.87
0.416
0.656
0.67
0.83
0.447
0.648
0.65
0.89
0.470
0.641
0.58
0.94
PB-2
0.391
0.72
0.83
0.78
0.392
0.702
0.76
0.78
0.470
0.626
0.63
0.94
0.440
0.688
0.66
0.88
PB-3
0.390
0.68
0.78
0.78
0.417
0.628
0.64
0.83
0.423
0.747
0.75
0.85
0.651
0.673
0.44
1.30
“S”
S-0
0.454
0.580
0.57
0.91
0.431
0.601
0.63
0.86
0.432
0.625
0.65
0.86
0.410
0.655
0.72
0.82
SP-1
0.385
0.679
0.79
0.77
0.365
0.682
0.84
0.73
0.419
0.687
0.74
0.84
0.444
0.648
0.66
0.89
SP-2
0.374
0.719
0.86
0.75
0.382
0.697
0.82
0.76
0.369
0.762
0.93
0.74
0.406
0.686
0.76
0.81
SP-3
0.375
0.683
0.82
0.75
0.388
0.690
0.80
0.78
0.449
0.703
0.70
0.90
0.410
0.699
0.77
0.82
SB-1
0.412
0.64
0.70
0.82
0.435
0.575
0.56
0.87
0.399
0.679
0.68
0.80
0.398
0.655
0.70
0.80
SB-2
0.382
0.72
0.84
0.76
0.390
0.653
0.71
0.78
0.329
0.776
0.78
0.66
0.350
0.595
0.72
0.70
SB-3
0.376
0.69
0.82
0.75
0.370
0.727
0.83
0.74
0.367
0.774
0.77
0.73
0.375
0.669
0.76
0.75
“M”
M-0
0.399
0.805
0.91
0.80
0.403
0.801
0.89
0.81
0.472
0.767
0.73
0.94
0.454
0.664
0.66
0.91
MP-1
0.378
0.716
0.85
0.76
0.404
0.650
0.72
0.81
0.518
0.771
0.67
1.04
0.439
0.691
0.71
0.88
MP-2
0.373
0.690
0.83
0.75
0.373
0.705
0.85
0.75
0.373
0.729
0.88
0.75
0.412
0.729
0.80
0.82
MP-3
0.371
0.718
0.87
0.74
0.363
0.712
0.88
0.73
0.386
0.746
0.87
0.77
0.409
0.717
0.79
0.82
MB-1
0.384
0.72
0.84
0.77
0.417
0.635
0.65
0.83
0.323
0.704
0.70
0.65
0.372
0.558
0.64
0.74
MB-2
0.402
0.65
0.73
0.80
0.385
0.656
0.72
0.77
0.448
0.678
0.68
0.90
0.330
0.558
0.72
0.66
MB-3
0.387
0.71
0.82
0.77
0.37
0.693
0.80
0.74
0.410
0.712
0.71
0.82
0.335
0.641
0.81
0.67
is the ratio of average to maximum compressive stress in beam = area under the curve × , is the ratio of depth to compressive resultant to neutral axis depth, and is the ratio of maximum stress in beam to maximum stress in corresponding axially loaded cylinder = 0.85 [19].
