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

Table 10

Maximum values of 𝑟 with corresponding coordinates of cutout centre and zones where 𝑟≥90 and 𝑟≥95 for +45/−45/+45/−45 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	100.000	𝑥=0.5, 𝑦=0.5	𝑥=0.4, 0.6; 0.4≤𝑦≤0.6	𝑥=0.5,; 0.4≤𝑦≤0.6
CSCC	103.807	𝑥=0.5, 𝑦=0.4	𝑥=0.3, 0.2≤𝑦≤0.5; 0.6≤𝑥0.7, 0.3≤𝑦≤0.6	0.4≤𝑥≤0.5,; 0.3≤𝑦≤0.5
CCSC	100.000	𝑥=0.5, 𝑦=0.5	0.4≤𝑥≤0.6,; 𝑦=0.5	𝑥=0.5; 0.4≤𝑦≤0.6
CCCS	104.306	𝑥=0.5, 𝑦=0.6	0.4≤𝑥≤0.6,; 0.2≤𝑦≤0.4	0.4≤𝑥≤0.7,; 0.5≤𝑦≤0.6
CSSC	105.159	𝑥=0.5, 𝑦=0.3	0.4≤𝑥≤0.7,; 0.7≤𝑦≤0.8; 𝑥=0.8, 0.4≤𝑦≤0.6	0.4≤𝑥≤0.7,; 0.3≤𝑦≤0.6
CCSS	105.727	𝑥=0.5, 𝑦=0.7	𝑥=0.5, 0.7; 0.2≤𝑦≤0.4; 𝑥=0.3, 0.8; 0.5≤𝑦≤0.7	0.5≤𝑥≤0.6,; 0.2≤𝑦≤0.4; 0.4≤𝑥≤0.7,; 0.5≤𝑦≤0.7
CSCS	101.457	𝑥=0.6, 𝑦=0.5	0.4≤𝑥≤0.7,; 𝑦=0.3	0.4≤𝑥≤0.7,; 0.4≤𝑦≤0.7
SCSC	107.888	𝑥=0.4, 𝑦=0.5	0.5≤𝑥≤0.6,; 0.4≤𝑦≤0.6	0.3≤𝑥≤0.4,; 0.3≤𝑦≤0.7
CSSS	106.825	𝑥=0.7, 𝑦=0.7	𝑥=0.3,; 0.2≤𝑦≤0.8	0.4≤𝑥≤0.8,; 0.2≤𝑦≤0.8
SSSC	108.098	𝑥=0.4, 𝑦=0.3	0.7≤𝑥≤0.8,; 0.3≤𝑦≤0.7	0.3≤𝑥≤0.6,; 0.2≤𝑦≤0.7
SSCS	104.514	𝑥=0.4, 𝑦=0.6	𝑥=0.2, 0.8; 0.3≤𝑦≤0.7	0.3≤𝑥≤0.7,; 0.3≤𝑦≤0.7
SSSS	101.663	𝑥=0.5, 𝑦=0.8	𝑥=0.3, 0.8; 0.2≤𝑦≤0.8	0.4≤𝑥≤0.7,; 0.2≤𝑦≤0.8
CS	124.611	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.