Research Article
Applicable Formulas for Shear and Thermal Buckling of Perforated Rectangular Panels
Table 5
Normalized buckling loads for rectangular centrally perforated panels exposed to shear load case.
| BC | d/b | a/b = 1 | a/b = 1.5 | a/b = 2 | a/b = 2.5 | a/b = 3 | a/b = 3.5 | a/b = 4 | a/b = 6 | a/b = 10 | Equation (2) | FE | Equation (2) | FE | Equation (2) | FE | Equation (2) | FE | Equation (2) | FE | Equation (2) | FE | Equation (2) | FE | Equation (2) | FE | Equation (2) | FE |
| CCSS | 0.0 | 12.58 | 12.57 | 7.82 | 7.81 | 6.67 | 6.71 | 6.24 | 6.30 | 6.03 | 5.92 | 5.90 | 5.80 | 5.82 | 5.68 | 5.67 | 5.50 | 5.54 | 5.40 | 0.1 | 11.02 | 11.48 | 7.26 | 7.32 | 6.29 | 6.37 | 5.92 | 6.10 | 5.74 | 5.89 | 5.64 | 5.69 | 5.57 | 5.53 | 5.45 | 5.40 | 5.35 | 5.33 | 0.2 | 9.20 | 9.47 | 6.38 | 6.27 | 5.60 | 5.57 | 5.30 | 5.40 | 5.16 | 5.28 | 5.08 | 5.17 | 5.03 | 5.08 | 4.93 | 5.03 | 4.86 | 5.01 | 0.3 | 7.42 | 7.58 | 5.35 | 5.16 | 4.74 | 4.66 | 4.52 | 4.55 | 4.41 | 4.50 | 4.35 | 4.46 | 4.31 | 4.41 | 4.24 | 4.40 | 4.19 | 4.39 | 0.4 | 5.85 | 5.94 | 4.34 | 4.14 | 3.88 | 3.78 | 3.71 | 3.72 | 3.62 | 3.70 | 3.58 | 3.69 | 3.55 | 3.66 | 3.50 | 3.66 | 3.46 | 3.66 | 0.5 | 4.55 | 4.59 | 3.44 | 3.25 | 3.09 | 2.99 | 2.96 | 2.95 | 2.90 | 2.95 | 2.87 | 2.95 | 2.85 | 2.93 | 2.81 | 2.93 | 2.78 | 2.93 | 0.6 | 3.52 | 3.54 | 2.69 | 2.54 | 2.42 | 2.34 | 2.32 | 2.31 | 2.28 | 2.31 | 2.25 | 2.32 | 2.24 | 2.31 | 2.22 | 2.30 | 2.19 | 2.30 |
| SSCC | 0.0 | 12.58 | 12.56 | 10.86 | 10.78 | 10.12 | 10.01 | 9.73 | 9.65 | 9.51 | 9.49 | 9.37 | 9.37 | 9.28 | 9.27 | 9.13 | 9.15 | 9.03 | 9.07 | 0.1 | 11.04 | 11.47 | 9.98 | 10.40 | 9.47 | 9.66 | 9.21 | 9.24 | 9.06 | 9.12 | 8.96 | 9.10 | 8.91 | 8.98 | 8.82 | 8.93 | 8.78 | 8.90 | 0.2 | 9.27 | 9.46 | 8.76 | 8.97 | 8.48 | 8.53 | 8.34 | 8.28 | 8.26 | 8.23 | 8.22 | 8.24 | 8.19 | 8.19 | 8.18 | 8.21 | 8.20 | 8.20 | 0.3 | 7.53 | 7.57 | 7.41 | 7.56 | 7.32 | 7.30 | 7.27 | 7.17 | 7.26 | 7.15 | 7.26 | 7.18 | 7.27 | 7.14 | 7.32 | 7.16 | 7.39 | 7.15 | 0.4 | 5.98 | 5.92 | 6.10 | 6.26 | 6.13 | 6.11 | 6.16 | 6.04 | 6.19 | 6.03 | 6.22 | 6.06 | 6.25 | 6.03 | 6.35 | 6.06 | 6.45 | 6.07 | 0.5 | 4.69 | 4.57 | 4.93 | 5.14 | 5.03 | 5.05 | 5.10 | 5.00 | 5.16 | 5.00 | 5.21 | 5.03 | 5.25 | 5.00 | 5.38 | 5.03 | 5.50 | 5.04 | 0.6 | 3.66 | 3.51 | 3.94 | 4.22 | 4.07 | 4.19 | 4.16 | 4.15 | 4.23 | 4.15 | 4.29 | 4.17 | 4.34 | 4.15 | 4.48 | 4.18 | 4.61 | 4.19 |
| FFCC | 0.0 | 7.50 | 7.47 | 7.78 | 8.01 | 7.93 | 7.95 | 8.03 | 8.06 | 8.09 | 8.08 | 8.14 | 8.12 | 8.18 | 8.11 | 8.27 | 8.11 | 8.35 | 8.11 | 0.1 | 7.41 | 7.48 | 7.75 | 7.79 | 7.92 | 7.83 | 8.02 | 8.06 | 8.09 | 8.08 | 8.14 | 8.09 | 8.18 | 8.10 | 8.27 | 8.10 | 8.35 | 8.10 | 0.2 | 6.80 | 7.20 | 7.27 | 7.21 | 7.48 | 7.45 | 7.60 | 7.91 | 7.68 | 7.93 | 7.74 | 7.91 | 7.78 | 8.00 | 7.87 | 8.10 | 7.95 | 8.10 | 0.3 | 5.85 | 6.02 | 6.47 | 6.42 | 6.73 | 6.77 | 6.87 | 7.05 | 6.96 | 7.10 | 7.02 | 7.14 | 7.06 | 7.12 | 7.16 | 7.16 | 7.24 | 7.15 | 0.4 | 4.79 | 4.85 | 5.51 | 5.51 | 5.81 | 5.86 | 5.96 | 5.99 | 6.06 | 6.02 | 6.12 | 6.06 | 6.16 | 6.03 | 6.26 | 6.06 | 6.33 | 6.07 | 0.5 | 3.78 | 3.78 | 4.53 | 4.59 | 4.85 | 4.91 | 5.01 | 4.98 | 5.10 | 5.00 | 5.17 | 5.03 | 5.21 | 5.00 | 5.30 | 5.03 | 5.37 | 5.04 | 0.6 | 2.92 | 2.87 | 3.64 | 3.76 | 3.95 | 4.08 | 4.11 | 4.14 | 4.20 | 4.15 | 4.26 | 4.17 | 4.30 | 4.15 | 4.38 | 4.18 | 4.44 | 4.19 |
| CCFF | 0.0 | 7.84 | 7.48 | 3.21 | 3.32 | 1.71 | 1.77 | 1.04 | 1.05 | 0.70 | 0.69 | 0.50 | 0.48 | 0.37 | 0.36 | 0.15 | 0.14 | 0.05 | 0.05 | 0.1 | 7.77 | 7.46 | 3.21 | 3.31 | 1.71 | 1.74 | 1.05 | 1.04 | 0.71 | 0.68 | 0.50 | 0.48 | 0.38 | 0.35 | 0.15 | 0.14 | 0.05 | 0.05 | 0.2 | 7.23 | 7.20 | 3.06 | 3.17 | 1.65 | 1.66 | 1.02 | 1.00 | 0.69 | 0.66 | 0.49 | 0.47 | 0.37 | 0.35 | 0.15 | 0.14 | 0.05 | 0.05 | 0.3 | 6.35 | 6.03 | 2.78 | 2.87 | 1.53 | 1.55 | 0.96 | 0.95 | 0.66 | 0.63 | 0.47 | 0.45 | 0.36 | 0.33 | 0.15 | 0.14 | 0.05 | 0.05 | 0.4 | 5.32 | 4.86 | 2.43 | 2.53 | 1.37 | 1.42 | 0.88 | 0.88 | 0.60 | 0.59 | 0.44 | 0.43 | 0.33 | 0.32 | 0.14 | 0.13 | 0.05 | 0.05 | 0.5 | 4.30 | 3.79 | 2.05 | 2.16 | 1.19 | 1.28 | 0.78 | 0.81 | 0.54 | 0.55 | 0.40 | 0.40 | 0.31 | 0.30 | 0.14 | 0.13 | 0.05 | 0.05 | 0.6 | 3.40 | 2.89 | 1.70 | 1.78 | 1.02 | 1.13 | 0.67 | 0.73 | 0.48 | 0.50 | 0.36 | 0.37 | 0.28 | 0.28 | 0.13 | 0.12 | 0.05 | 0.04 |
| SSFF | 0.0 | 4.00 | 4.22 | 1.63 | 1.59 | 0.86 | 0.81 | 0.52 | 0.49 | 0.35 | 0.32 | 0.25 | 0.23 | 0.18 | 0.17 | 0.07 | 0.08 | 0.02 | 0.03 | 0.1 | 3.97 | 4.10 | 1.63 | 1.56 | 0.86 | 0.80 | 0.53 | 0.48 | 0.35 | 0.32 | 0.25 | 0.23 | 0.19 | 0.17 | 0.08 | 0.08 | 0.02 | 0.03 | 0.2 | 3.69 | 3.78 | 1.55 | 1.48 | 0.83 | 0.77 | 0.51 | 0.47 | 0.34 | 0.31 | 0.25 | 0.22 | 0.18 | 0.17 | 0.08 | 0.08 | 0.02 | 0.03 | 0.3 | 3.24 | 3.31 | 1.41 | 1.36 | 0.77 | 0.72 | 0.48 | 0.44 | 0.33 | 0.30 | 0.24 | 0.22 | 0.18 | 0.16 | 0.07 | 0.07 | 0.02 | 0.03 | 0.4 | 2.71 | 2.77 | 1.23 | 1.22 | 0.69 | 0.66 | 0.44 | 0.41 | 0.30 | 0.28 | 0.22 | 0.20 | 0.17 | 0.16 | 0.07 | 0.07 | 0.02 | 0.02 | 0.5 | 2.19 | 2.20 | 1.04 | 1.07 | 0.60 | 0.59 | 0.39 | 0.37 | 0.27 | 0.26 | 0.20 | 0.19 | 0.15 | 0.14 | 0.07 | 0.07 | 0.02 | 0.02 | 0.6 | 1.73 | 1.66 | 0.86 | 0.90 | 0.51 | 0.52 | 0.34 | 0.33 | 0.24 | 0.23 | 0.18 | 0.17 | 0.14 | 0.13 | 0.06 | 0.06 | 0.02 | 0.02 |
| FFSS | 0.0 | 4.22 | 4.22 | 4.33 | 4.28 | 4.41 | 4.38 | 4.46 | 4.54 | 4.50 | 4.50 | 4.53 | 4.55 | 4.56 | 4.55 | 4.64 | 4.55 | 4.72 | 4.55 | 0.1 | 4.17 | 4.10 | 4.32 | 4.29 | 4.40 | 4.38 | 4.46 | 4.50 | 4.50 | 4.48 | 4.54 | 4.54 | 4.56 | 4.55 | 4.64 | 4.55 | 4.72 | 4.55 | 0.2 | 3.84 | 3.78 | 4.07 | 4.27 | 4.17 | 4.37 | 4.24 | 4.37 | 4.29 | 4.38 | 4.33 | 4.48 | 4.35 | 4.55 | 4.43 | 4.54 | 4.51 | 4.55 | 0.3 | 3.32 | 3.31 | 3.63 | 3.99 | 3.77 | 4.10 | 3.85 | 4.07 | 3.90 | 4.12 | 3.94 | 4.24 | 3.97 | 4.34 | 4.05 | 4.38 | 4.13 | 4.39 | 0.4 | 2.73 | 2.77 | 3.11 | 3.34 | 3.27 | 3.51 | 3.36 | 3.54 | 3.42 | 3.58 | 3.46 | 3.63 | 3.49 | 3.64 | 3.56 | 3.66 | 3.63 | 3.66 | 0.5 | 2.17 | 2.20 | 2.58 | 2.70 | 2.75 | 2.86 | 2.84 | 2.89 | 2.90 | 2.91 | 2.94 | 2.93 | 2.97 | 2.93 | 3.04 | 2.93 | 3.10 | 2.93 | 0.6 | 1.68 | 1.66 | 2.08 | 2.13 | 2.25 | 2.26 | 2.34 | 2.29 | 2.40 | 2.30 | 2.44 | 2.31 | 2.46 | 2.30 | 2.53 | 2.30 | 2.58 | 2.30 |
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