| Справочник КОНСТРУКТОРА |
Прямоугольная пластина со сплошной равномерно распределенной нагрузкой два шарнирно шарнирно опертая по трем сторонам, край защемлен
| в центре пластины х=а/2; y=b/2 |
Прогиб Wmax | b/a ≤ 1 |  |
b/a > 1 |  |
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| Изгибающий момент Mx My | Mx = β ⋅ q ⋅ b2 My = β1 ⋅ q ⋅ b2 | Mx = β ⋅ q ⋅ a2 My = β1 ⋅ q ⋅ a2 | ||||
| Нормальные напряжения | σx = 6 ⋅ Mx / h 2 σy = 6 ⋅ My / h 2 | |||||
| В середине зещемленного края х=а/2; y=0 |
Изгибающий момент Mx My | b/a ≤ 1 | Mxо = α1 ⋅ q ⋅ b2 Myо = β2 ⋅ q ⋅ b2 |
b/a > 1 | Mxо = α1 ⋅ q ⋅ a2 Myо = β2 ⋅ q ⋅ a2 | |
| Нормальные напряжения | σxо = 6 ⋅ Mxо / h 2 σyо = 6 ⋅ Myо / h 2 | |||||
Значения коэффициентов
| b/a | α | β | β1 | α1 | β2 |
| 0 | 0.057 | 0.062 | 0.019 | -0.037 | -0.125 |
| 0.5 | 0.053 | 0.06 | 0.023 | -0.037 | -0.122 |
| 0.66 | 0.046 | 0.054 | 0.028 | -0.033 | -0.111 |
| 0.71 | 0.044 | 0.052 | 0.03 | -0.032 | -0.108 |
| 0.77 | 0.041 | 0.05 | 0.031 | -0.0031 | -0.103 |
| 0.83 | 0.038 | 0.047 | 0.032 | -0.029 | -0.098 |
| 0.9 | 0.035 | 0.043 | 0.033 | -0.027 | -0.091 |
| 1 | 0.03 | 0.039 | 0.034 | -0.025 | -0.084 |
| 1.1 | 0.038 | 0.042 | 0.041 | -0.028 | -0.092 |
| 1.2 | 0.047 | 0.044 | 0.049 | -0.029 | -0.098 |
| 1.3 | 0.055 | 0.045 | 0.056 | -0.031 | -0.104 |
| 1.4 | 0.063 | 0.047 | 0.063 | -0.033 | -0.109 |
| 1.5 | 0.07 | 0.048 | 0.069 | -0.034 | -0.112 |
| 2 | 0.101 | 0.047 | 0.094 | -0.037 | -0.122 |
| > 2 | 0.142 | 0.037 | 0.125 | -0.037 | -0.125 |
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