PSI - Issue 11

Cyrille Denis Tetougueni et al. / Procedia Structural Integrity 11 (2018) 452–459 Tetougueni et al./ Structural Integrity Procedia 00 (2018) 000 – 000

457

6

1,20

1,00

0,80

α 0

0,60

0,40

H/B=2 H/B=3 H/B=4

0,20

0,00

0,40

0,50

0,60 H L /H

0,70

0,80

Fig. 6. Collapse multiplier ( α 0 ) in terms of H L /H and H/B for arches with f/L=0.2

Table 2. Variation of S ⁄R ratio in term of angle β

β

180° 0.135

155°

125°

90°

45°

0.1025

0.0725

0.04875 0.0825 0.11625

0.0225 0.02625

0.15125 0.1675 0.18375

0.135

0.115

S

0.1675

0.1575

0.03

R

0.2

0.2

0.15

0.2

Table 3. Variation of

ratio

⁄

2

1.4

1.1

⁄

β ⁄ ratio

Table 4. Variation of β v

0.1

0.2

0.3

β ⁄β

From the results, it is worth noting that for opening angle β = 180° and β = 155° , the coefficient γ decreases when the angle β S1 increases. Furthermore, from Fig.7, it is observed that the influence of S 1 /S 2 ratio on the result is not significant. The results are different when we consider arches with opening angle β = 125° , β = 90° and β = 45° . In fact these cases showed that the value of γ decrease s as the S 2 /R m ratio increases.

a)

b)