OBRAS DE TERRA

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EA3 = (56,58 – 33,12)x 3 x0,5 = 35,19 kN/mXA3 = (4,2 + 3/3) = 5,2m

EA4 = (40,59 x 2,15) = 87,27 kN/mXA4 = (2,05 + 2,15/2) = 3,125m

EA5 = (54,78 - 40,59)x 2,15 x0,5 = 15,25 kN/mXA5 = (2,05 +2,15/3) = 2,77m

EA6 = (43,16 x 2,05) = 88,48 kN/mXA6 = (2,05/2) = 1,025m

EA7 = (53,82 – 43,16)x 2,05 x 0,5 = 10,93 kN/mXA7 = (2,05/3) = 0,68m

Σ EA = 42,77 + 99,36 + 35,19 + 87,27 + 15,25 + 88,48 + 10,93 = 379,25 kN/m

XA = (42,77x8,4) + (99,36x5,7) + (35,19x5,2) + (87,27x3,125) + (15,25x2,77) + (88,48x1,025) + (10,93x0,68) 379,25

XA = 4,01m

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b) N.A. – Real. (Conforme SPT)

N.A. = 1,70m

Cálculo das Tensões Verticais

σ VA = 0σ’VA = 0

σ VB = (20 kN/m3 x 3,60m) = 72 kPa

σ’VB = 72 kPa

σ VC = 72 kPa + (17 kN/m3 x 3m) = 123 kPa

σ’VC = 123 kPa

σ VD = 123 + (20 kN/m3 x 2,15m) = 166 kPa

σ’VD = 166 kPa

σ VE = 166 + (20 kN/m3 x 2,05m) = 207 kPa

σ’VE = 207 – (0,35x10) = 203,5 kPa

KA = tg2 (45º - Ф/2)

KA = tg2 (45º - 30/2) = 0,33

KB = tg2 (45º - 21,5/2) = 0,46

KC = tg2 (45º - 30/2) = O,33

KD = tg2 (45º - 36/2) = 0,26

Cálculo das Tensões Horizontais

σ HA = 0σ’HB = 72 kPa x 0,33 = 23,76 kPaσ HB = 72 kPa x 0,46 = 33,12 kPaσ’HC = 123 kPa x 0,46 = 56,58 kPaσ’HC = 123 kPa x 0,33 = 40,59 kPaσ’HD = 166 kPa x 0,33 = 54,78 kPaσ’HD = 166 kPa x 0,26 = 43,16 kPaσ’HE = 203,5 kPa x 0,26 = 52,91 kPa

Cálculo Empuxo Ativo

EA1 = (23,76 x 3,6 x 0,5) = 42,77 kN/mXA1 = (7,2 + 3,6 /3) = 8,4m

EA2 = (33,12 x 3) = 99,36 kN/mXA2 = (4,2 + 3/2) = 5,7m

EA3 = (56,58 - 33,12) x 3 x0,5 = 35,19 kN/mXA3 = (4,2 + 3/3) = 5,2m

EA4 = (40,59 x 2,15) = 87,27 kN/mXA4 = (2,05 + 2,15/2) = 3,125m

EA5 = (54,78 - 40,59) x 2,15 x0,5 = 15,25 kN/mXA5 = (2,05 +2,15/3) = 2,77m

EA6 = (43,16 x 2,05) = 88,48 kN/mXA6 = (2,05/2) = 1,025m

EA7 = (52,91 – 43, 16) = 9,75 kN/mXA7 = (2,05 /3) = 0,68m

Σ EA = 42,77 + 99,36 + 35,19 + 87,27 + 15,25 + 88,48 + 9,75 = 378,07 kN/m

XA = (42,77x8,4) + (99,36x5,7) + (35,19x5,2) + (87,27x3,125) + (15,25x2,77) + (88,48x1,025) + (9,75x0,68) 378,07

XA = 4,02m

Cálculo Empuxo da Água

EW = (2,05x10) x10 x 0,5 = 102,5 kN/m

XW = 1,7 = 0,57m 3

Cálculo Empuxo do Ar

EAR = (378,07 + 102,5) = 480,57 kN/m

XAR = (378,07 x 4,02) + (102,5 x 0,57) = 3,28m 480,57

c) N.A. – Saturado.

Cálculo das Tensões Verticais

σ VA = 0σ’VA = 0

σ VB = (20 kN/m3 x 3,60m) = 72 kPa

σ’VB = 72 - (3,60 x 10) = 36 kPa

σ VC = 36 + (17 x 3) = 87 kPa

σ’VC = 87 – (3 x 10) = 57 kPa

σ VD = 87 + (20 x 2,15) = 130 kPa

σ’VD = 130 - (20 x 10) = 108,5 kPa

σ VE = 130 + (20 x 2,05) = 171 kPa

σ’VE = 171 – (2,05 x 10) = 150,5 kPa

KA = tg2 (45º - Ф/2)

KA = tg2 (45º - 30/2) = 0,33

KB = tg2 (45º - 21,5/2) = 0,46

KC = tg2 (45º - 30/2) = O,33

KD = tg2 (45º - 36/2) = 0,26

Cálculo das Tensões Horizontais

σ HA = 0σ’HB = 36 x 0,33 = 11,88 kPaσ HB = 36 x 0,46 = 16,56 kPaσ’HC = 57 x 0,46 = 26,22 kPaσ’HC = 57 x 0,33 = 18,81 kPaσ’HD = 108,5 x 0,33 = 35,805 kPaσ’HD = 108,5 x 0,26 = 28,21 kPaσ’HE = 150,5 x 0,26 = 39,13 kPa

Cálculo Empuxo Ativo

EA1 = (11,88 x 3,6 x 0,5) = 21,384 kN/mXA1 = (7,2 + 3,6/3) = 8,4m

EA2 = (16,56 x 3) = 49,68 kN/mXA2 = (4,2 + 3/2) = 5,7m

EA3 = (26,22 – 16,56)x 3 x0,5 = 14,49 kN/mXA3 = (4,2 + 3/3) = 5,2m

EA4 = (18,81 x 2,15) = 40,44 kN/mXA4 = (2,05 + 2,15/2) = 3,125m

EA5 = (35,805 - 18,81)x 2,15 x0,5 = 18,27 kN/mXA5 = (2,05 +2,15/3) = 2,77m

EA6 = (28,21