Dynamic Characters of Stiffened Composite Conoidal Shell Roofs with Cutouts: Design Aids and Selection Guidelines

Table 9

Maximum values of 𝑟 with corresponding coordinates of cutout centre and zones where 𝑟≥90 and 𝑟≥95 for 0/90/0/90 conoidal shells.

Boundary condition	Maximum values of 𝑟	Co-ordinate of cutout centre	Area in which the value of 𝑟≥90	Area in which the value of 𝑟≥95
CCCC	103.036	𝑥=0.5, 𝑦=0.7	𝑥=0.6,; 0.2≤𝑦≤0.8	0.4≤𝑥0.5,; 0.2≤𝑦≤0.8
CSCC	110.505	𝑥=0.4, 𝑦=0.3	0.3≤𝑥0.5,; 0.6≤𝑦≤0.8	0.3≤𝑥0.6,; 0.2≤𝑦≤0.5
CCSC	102.726	𝑥=0.5, 𝑦=0.3; 𝑥=0.5, 𝑦=0.7	𝑥=0.4, 0.6,; 0.2≤𝑦≤0.8	𝑥=0.5,; 0.2≤𝑦≤0.8
CCCS	110.815	𝑥=0.4, 𝑦=0.7	0.3≤𝑥0.5,; 0.2≤𝑦≤0.4	0.3≤𝑥0.6,; 0.5≤𝑦≤0.8
CSSC	108.698	𝑥=0.5, 𝑦=0.3	0.3≤𝑥0.5,; 0.6≤𝑦≤0.8	0.3≤𝑥0.6,; 0.2≤𝑦≤0.5
CCSS	108.900	𝑥=0.5, 𝑦=0.7	0.3≤𝑥0.5,; 0.2≤𝑦≤0.4	0.3≤𝑥0.6,; 0.5≤𝑦≤0.8
CSCS	101.259	𝑥=0.4, 𝑦=0.5	0.3≤𝑥0.5,; 0.2≤𝑦≤0.3; 0.7≤𝑦≤0.8	0.3≤𝑥0.5,; 0.4≤𝑦≤0.6
SCSC	102.014	𝑥=0.5, 𝑦=0.7	𝑥=0.3, 0.5,; 0.2≤𝑦≤0.8	0.4≤𝑥0.5,; 0.2≤𝑦≤0.8
CSSS	100.035	𝑥=0.4, 𝑦=0.5	0.2≤𝑥0.8,; 0.2≤𝑦≤0.8	0.3≤𝑥0.6,; 0.3≤𝑦≤0.7
SSSC	113.744	𝑥=0.4, 𝑦=0.3	0.6≤𝑥0.7,; 0.2≤𝑦≤0.4	0.2≤𝑥0.5,; 0.2≤𝑦≤0.8
SSCS	103.324	𝑥=0.3, 𝑦=0.5	0.5≤𝑥0.8,; 0.3≤𝑦≤0.7	0.2≤𝑥0.4,; 0.3≤𝑦≤0.7
SSSS	101.006	𝑥=0.4, 𝑦=0.5	𝑥=0.8,; 0.2≤𝑦≤0.8	0.2≤𝑥0.7,; 0.3≤𝑦≤0.7
CS	137.892	𝑥=0.2, 𝑦=0.2	nil	0.2≤𝑥0.8,; 0.2≤𝑦≤0.8

𝑎/𝑏=1, 𝑎/ℎ=100, 𝑎^′/𝑏^′=1, 𝑎/ℎ_ℎ=5, ℎ_𝑙/ℎ_ℎ=0.25, 𝐸₁₁/𝐸₂₂=25, 𝐺₂₃=0.2𝐸₂₂, 𝐺₁₃=𝐺₁₂=0.5𝐸₂₂, and 𝜈₁₂=𝜈₂₁=0.25.