Table 4 Closed-form and numerical deflections at r = R/2
From: Closed-form solution for a cantilevered sectorial plate subjected to a tip concentrated force
Normalized position (θ/α) | Normalized closed-form deflection | Normalized numerical deflection |
|---|---|---|
1.00 | 2.51757 × 10−1 | 2.51288 × 10−1 |
0.92 | 2.50769 × 10−1 | 2.50302 × 10−1 |
0.84 | 2.49868 × 10−1 | 2.49402 × 10−1 |
0.76 | 2.49051 × 10−1 | 2.48588 × 10−1 |
0.68 | 2.48319 × 10−1 | 2.47862 × 10−1 |
0.60 | 2.47670 × 10−1 | 2.47211 × 10−1 |
0.52 | 2.47104 × 10−1 | 2.46647 × 10−1 |
0.44 | 2.46620 × 10−1 | 2.46170 × 10−1 |
0.36 | 2.46218 × 10−1 | 2.45769 × 10−1 |
0.28 | 2.45897 × 10−1 | 2.45443 × 10−1 |
0.20 | 2.45656 × 10−1 | 2.45205 × 10−1 |
0.12 | 2.45496 × 10−1 | 2.45053 × 10−1 |
0.04 | 2.45415 × 10−1 | 2.44966 × 10−1 |
−0.04 | 2.45415 × 10−1 | 2.44966 × 10−1 |
−0.12 | 2.45496 × 10−1 | 2.45053 × 10−1 |
−0.20 | 2.45656 × 10−1 | 2.45205 × 10−1 |
−0.28 | 2.45897 × 10−1 | 2.45443 × 10−1 |
−0.36 | 2.46218 × 10−1 | 2.45769 × 10−1 |
−0.44 | 2.46620 × 10−1 | 2.46170 × 10−1 |
−0.52 | 2.47104 × 10−1 | 2.46647 × 10−1 |
−0.60 | 2.47670 × 10−1 | 2.47211 × 10−1 |
−0.68 | 2.48319 × 10−1 | 2.47862 × 10−1 |
−0.76 | 2.49051 × 10−1 | 2.48588 × 10−1 |
−0.84 | 2.49868 × 10−1 | 2.49402 × 10−1 |
−0.92 | 2.50769 × 10−1 | 2.50302 × 10−1 |
−1.00 | 2.51757 × 10−1 | 2.51288 × 10−1 |