tabela ptv

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Page 1: Tabela PTV

TABELA PARA O CÁLCULO DE ∫ MM.

abL

21 abL

21 abL

21 b(a+d)L

21 abL

32 abL

31 abL

31 abL

21 b(a+d)L

32 abL

32 abL

31 abL

61 abL

61 b(2d+a)L

61 ab(L+L1)

31

abL 41 abL

121

abL 61 b(a+2d)L

125 abL

41 abL

31 abL

61 b(2a+d)L

61 ab(L+L2) 3

1 abL 121 abL

41 abL

61

b(2a+d)L 41 abL

125 abL

61 [a(2b+c)+

d(b+2c)]L 61 a[b(L+L2)+c(L+L1)] 3

1 a(c+b)L 121 a(b+3c)L

121 a(c+3b)L 6

1 [b(2a+d)+

c(a+2d)]L 121 a(3b+5c)L

121 a(5b+3c) L

61 ab[2-

32

231

LLLL )( − ]L

(*) 31 ab(L+

LLL 43 )

121 ab(3L3+ L

L 24 )

121 ab(3L4+ L

L 23 ) 6

1 b[a(L+L4)+

d(L+L3)] 121 ab(5L-L4-

L42)

121 ab(5L-L3-

L32)

158 abL

51 abL

51 abL

31 b(a+d)L

157 abL

157 abL

51 abL

301 abL

121 b(a+3d)L

103 abL

152 abL

51 abL

121 b(3a+d)L

152 abL

103 abL

6

1 [a(2b+c)+

d(b+2c)]L 121 a(3b-5c)L

121 a(5b-3c)L

158 abL

3011 abL

158 abL

(*) para L3 ≥ L1

L

a

L

a L

a

Ld a a

L

2ºgrau a

L

2ºgrau

L

2ºgrau a a

L

2ºgrau a

L

2ºgrau

L d

a

L

L1 L2

a

L

b

L

b

L

b

L c b

L

L3 L4

b

b L

2ºgrau

b L

2ºgrau

L

2ºgrau b

L c

b

b L

2ºgrau

b L

2ºgrau

M M