Table 2 Shear correction factor expressions for special cases of rectangular plates under sinusoidal loads
|  | Simple sinusoidal load distribution (m = n = 1) | General sinusoidal load distributions (m, n ≥ 1) |
|---|---|---|
Square plates a = b | \( \kappa =\frac{5}{6}\left[1+\frac{\pi^2}{210\left(1-v\right)}\frac{h^2}{a^2}\right] \) | \( \kappa =\frac{5}{6}\left[1+\frac{\pi^2}{420\left(1-v\right)}\frac{h^2}{a^2}\left({m}^2+{n}^2\right)\right] \) |
Rectangular plates a ≠ b | \( \kappa =\frac{5}{6}\left[1+\frac{\pi^2}{420\left(1-v\right)}\frac{h^2}{ab}\left(\frac{b}{a}+\frac{a}{b}\right)\right] \) | \( \kappa =\frac{5}{6}\left[1+\frac{\pi^2}{420\left(1-v\right)}\frac{h^2}{ab}\left(\frac{b}{a}{m}^2+\frac{a}{b}{n}^2\right)\right] \) |