43 An Approach to the Moving Load Problem for Multiple Cracked Beam 459 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 Time∗v/L Normalized Deflection at midspan 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 v = 10 v = 6 v = 15 v = 24 v = 20 v = 12 Fig. 43.6 Normalized deflection at mid-span of uncracked beam for different speeds of moving force .v D6I 10I 12I 15I 20I 24m=s/ 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 −4 −2 0 2 4 6 8 10 12 14 16 x 10-3 Time∗v/L Deflection at position moving together with load Fig. 43.7 Convective deflection of cracked beam subjected to a constant load moving with speed 15 m/s. Crack at position 10 m with various depth 0; 5; 10; 20; 30 % 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 −2 0 2 4 6 8 10 12 x 10-3 Time∗v/L Deflection at moving position Fig. 43.8 Convective deflection in different speed (5; 10; 15; 20 m/s) of constant load for beam with two cracks at positions 5 and 10 m of equal depth 20 % compared to that of uncracked beam
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