Charakterystyczne dane poszczególnych gruntów |
---|
Rodzaj gruntu |
Pospółka (Po) |
Piasek średni (Ps) |
Pył (π) – ponad poziomem wody |
Pył (π) – poniżej poziomu wody |
Piasek drobny(Pd) |
2. Naprężenia pierwotne:
δzp1 = 31kN/m2
δzp2 = δzp1 + γPo * 1, 11 = 53, 2 kN/m2
δzp3 = δzp2 + γPs * 0, 88 = 69, 48 kN/m2
δzp4 = δzp3 + γPs * 1, 10 = 89, 83 kN/m2
δzp5 = δzp4 + γπ * 0, 91 = 108, 03 kN/m2
δzp6 = δzp5 + γπ * 1, 89 = 126, 93 kN/m2
δzp7 = δzp6 + γPd * 2, 10 = 145, 83 kN/m2
δzp8 = 0
δzp9 = δzp8 + γPs * 1, 10 = 20, 35 kN/m2
δzp10 = δzp9 + γπ * 0, 91 = 38, 55 kN/m2
δzp11 = δzp10 + γπ * 1, 89 = 57, 45 kN/m2
δzp12 = δzp11 + γPd * 2, 10 = 76, 35 kN/m2
4. Parcie czynne:
$$\mathbf{e}_{\mathbf{a}}\mathbf{=}\mathbf{\delta}_{\mathbf{\text{zp}}}\mathbf{*}\mathbf{K}_{\mathbf{a}}\mathbf{- 2}\mathbf{c}\sqrt{\mathbf{K}_{\mathbf{a}}}$$
Ka=tg2(45− Ø/2)
KaPo = tg2(45− 35,5/2)=0,265
KaPs = tg2(45− 35,5/2)=0,265
Kaπ = tg2(45− 16,5/2)=0,56
KaPd = tg2(45− 31,5/2)=0,31
$e_{\text{aPo}^{1}} = \delta_{\text{zp}^{1}}*K_{a^{\text{Po}}} - 2c\sqrt{K_{a^{\text{Po}}}}$ = 8,215
$e_{\text{aPo}^{2}} = \delta_{\text{zp}^{2}}*K_{a^{\text{Po}}} - 2c\sqrt{K_{a^{\text{Po}}}}$ = 14,10
$e_{\text{aPs}^{2}} = \delta_{\text{zp}^{2}}*K_{a^{\text{Ps}}} - 2c\sqrt{K_{a^{\text{Ps}}}}$ = 14,10
$e_{\text{aPs}^{3}} = \delta_{\text{zp}^{3}}*K_{a^{\text{Ps}}} - 2c\sqrt{K_{a^{\text{Ps}}}}$ = 18,41
$e_{\text{aPs}^{4}} = \delta_{\text{zp}^{4}}*K_{a^{\text{Ps}}} - 2c\sqrt{K_{a^{\text{Ps}}}}$ = 23,80
$e_{{a\pi}^{4}} = \delta_{\text{zp}^{4}}*K_{a^{\pi}} - 2c\sqrt{K_{a^{\pi}}}$ = 8,4
$e_{{a\pi}^{5}} = \delta_{\text{zp}^{5}}*K_{a^{\pi}} - 2c\sqrt{K_{a^{\pi}}}$ = 18,59
$e_{{a\pi}^{6}} = \delta_{\text{zp}^{6}}*K_{a^{\pi}} - 2c\sqrt{K_{a^{\pi}}}$ = 29,18
$e_{{a\text{Pd}}^{6}} = \delta_{\text{zp}^{6}}*K_{a^{\text{Pd}}} - 2c\sqrt{K_{a^{\text{Pd}}}}$ = 39,35
$e_{{a\text{Pd}}^{7}} = \delta_{\text{zp}^{7}}*K_{a^{\text{Pd}}} - 2c\sqrt{K_{a^{\text{Pd}}}}$ = 45,21
5.Parcie bierne:
$$\mathbf{e}_{\mathbf{p}}\mathbf{=}\mathbf{\delta}_{\mathbf{\text{zp}}}\mathbf{*}\mathbf{K}_{\mathbf{p}}\mathbf{+ 2}\mathbf{c}\sqrt{\mathbf{K}_{\mathbf{p}}}$$
Kp=tg2(45+ Ø/2)
KpPo = 0
KpPs = tg2(45− 35,5/2)=3,77
Kpπ = tg2(45− 16,5/2)=1,79
KpPd = tg2(45− 31,5/2)=3,188
$e_{\text{pPs}^{8}} = \delta_{\text{zp}^{8}}*K_{p^{\text{Ps}}} + 2c\sqrt{K_{p^{\text{Ps}}}}$ = 0
$e_{\text{pPs}^{9}} = \delta_{\text{zp}^{9}}*K_{p^{\text{Ps}}} + 2c\sqrt{K_{p^{\text{Ps}}}}$ = 76,72
$e_{{p\pi}^{9}} = \delta_{\text{zp}^{9}}*K_{p^{\pi}} + 2c\sqrt{K_{p^{\pi}}}$ = 111,35
$e_{{p\pi}^{10}} = \delta_{\text{zp}^{10}}*K_{p^{\pi}} + 2c\sqrt{K_{p^{\pi}}}$ = 143,92
$e_{{p\pi}^{11}} = \delta_{\text{zp}^{11}}*K_{p^{\pi}} + 2c\sqrt{K_{p^{\pi}}}$ = 177,75
$e_{{p\text{Pd}}^{11}} = \delta_{\text{zp}^{11}}*K_{p^{\text{Pd}}} + 2c\sqrt{K_{p^{\text{Pd}}}}$ = 183,15
$e_{{p\text{Pd}}^{12}} = \delta_{\text{zp}^{12}}*K_{p^{\text{Pd}}} + 2c\sqrt{K_{p^{\text{Pd}}}}$ = 243,4
Wartość momentu maksymalnego:
Mmax × Ho = Mmax0
2648 × 68, 137 = 180426, 776 kNm
$$\sigma = \frac{M_{\max}}{W_{\min}} \leq \frac{R}{m_{a}}$$
$$W_{\min} \geq \frac{M_{\max} \times m_{a}}{R}$$
$$W_{\min} \geq \frac{180426,776 \times 1,1}{34} = 5837,3368$$