Issue 57

K. Benyahi et alii, Frattura ed Integrità Strutturale, 57 (2021) 195-222; DOI: 10.3221/IGF-ESIS.57.16

DIRECTOR COSINE ( Α 1, Α 2)

PROBABILITY OF FAILURE 2.824 x 10 -10 4.117 x 10 -4 1.422 x 10 -14 1.0332 x 10 -17 3.83264 x 10 -7 1.42234 x10 -14 8.9363 x10 -4 7.04345 x10 -5 2.13911 x10 -19 3.40623 x 10 -3 3.83404 x 10 -3 1.4511 x10 -21 8.80556 x 10 -8 9.42795 x 10 -3 7.49141 x 10 -9 4.42197 x 10 -9 1.11773 x 10 -3 3.54862 x10 -22 2.08389 x 10 -7 1.08215 x 10 -2 5.30577 x10 -20 2.1923 x 10 -3 2.77117 x 10 -5 6.01284 x10 -20 8.9223 x 10 -4 6.2352 x 10 -4 1.12074 x10 -13 2.43984 x 10 -4 1.0082 x 10 -5 1.63048 x10 -14 1.63712 x 10 -7 1.9523 x 10 -6 3.66322 x10 -18 8.9363 x 10 -4 3.03553 x 10 -8 2.99974 x10 -13

DESIGN POINT (U1, U2) (-5.8800, 1.9600) (3.0501, 1.3725) (7.6008, 0.1754) (-8.2688, 1.9293) (4.7635, 1.3232) (7.6008, 0.1754) (-2.4390, 1.9512) (3.4784, 1.5459) (8.9283, 0.3433) (-2.0224, 1.7977) (2.3595, 1.2418) (9.4665, 0.3442) (-4.8221, 2.0092) (1.5354, 1.7778) (5.5082, 1.3114) (-5.3991, 1.9796) (2.7512, 1.3327) (9.6107, 0.1830) (-4.6996, 1.8798) (1.9172, 1.2641) (9.0819, 0.2594) (-2.0934, 1.9324) (3.7418, 1.5027) (9.0644, 0.4316) (-1.9995, 2.3995) (3.0647, 1.0131) (7.2902, 0.8411) (-2.9015, 1.9343) (4.0243, 1.4085) (7.5665, 0.5820) (-4.7419, 1.8967) (4.3654, 1.4733) (8.6032, 0.3128) (-2.4390, 1.9512) (5.2965, 1.1390) (9.1022, 0.4551)

DESIGN POINT (X1, X2) (95.5249, 1.5994) (243.8263, 1.4338) (159.9053, 0.6863) (65.1281, 1.6065) (136.4759, 1.4348) (159.9053, 0.6863) (204.4285, 1.5914) (266.8430, 1.5078) (66.8240, 1.0761) (120.9005, 1.6204) (274.1525, 1.3566) (28.9641, 0.6067) (141.2907, 1.5900) (300.7293, 1.4331) (283.2090, 0.7687) (101.4725, 1.5939) (222.9546, 1.4375) (21.5302, 0.7287) (81.5037, 1.6163) (246.1723, 1.1360) (36.1524, 0.7342) (109.2482, 1.5914) (177.8183, 1.3292) (39.5503, 0.5601) (144.3488, 1.5007) (232.5354, 1.4703) (129.3096, 0.7071) (167.6967, 1.5887) (208.8308, 1.3920) (116.4464, 0.6541) (74.2200, 1.6097) (115.3302, 1.4417) (49.9285, 0.6267) (118.4773, 1.5931) (134.5162, 1.5123) (37.7926, 0.9045)

BEAMS ZONES RELIABILITY INDEX

01 02 03 01 02 03 01 02 03 01 02 03 01 02 03 01 02 03 01 02 03 01 02 03 01 02 03 01 02 03 01 02 03 01 02 03

6.1981 3.3448 7.6029 8.4909 4.9439 7.6029 3.1235 3.8065 8.9349 2.7059 2.6664 9.4728 5.2240 2.3491 5.6622 5.7507 3.0571 9.6125 5.0617 2.2965 9.0856 2.8491 4.0323 9.0748 3.1235 3.2279 7.3386 3.4873 4.2637 7.5889 5.1072 4.6074 8.6089 3.1235 5.4176 7.1983

(0.9486, -0.3162) (-0.9119, -0.4103) (-0.9997, -0.0230) (0.9738, -0.2272) (-0.9635, -0.2676) (-0.9997, -0.0230) (0.7808, -0.6246) (-0.9138, -0.4061) (-0.9992, -0.0384) (0.7474, -0.6643) (-0.8849, -0.4657) (-0.9993, -0.0363) (0.9230, -0.3846) (-0.6536, -0.7568) (-0.9728, -0.2316) (0.9388, -0.3442) (-0.8999, -0.4359) (-0.9998, -0.0190) (0.9284, -0.3713) (-0.8348, -0.5504) (-0.9995, -0.0285) (0.7348, -0.6782) (-0.9279, -0.3726) (-0.9988, -0.0475) (0.6401, -0.7682) (-0.9494, -0.3138) (-0.9934, -0.1146) (0.8320, -0.5547) (-0.9438, -0.3303) (-0.9970, -0.0766) (0.9284, -0.3713) (-0.9474, -0.3197) (-0.9993, -0.0363) (0.7808, -0.6246) (-0.9776, -0.2102) (-0.9987, -0.04993)

SA3

SA4

SK1

SK2

SK3

SK4

SP0

SP1

SP2

SP3

SM1

CF1

Table 4: Results of the mechano-reliability analysis of the different sections of the beams tested.

Figure 21: Reliability indices from numerical analysis.

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