tabela integração kurt beyer
DESCRIPTION
Tabela de integração para resolver estruturas hiperestáticas.TRANSCRIPT
Integral do Produto de duas Funções : ( ) ( )∫s
0 .. dxxgxf
TABELA DE KURT
BEYER
s.i.k ki..s.2
1 ( )21..s.
2
1kki + ki..s.
3
2 ki..s.
3
2 ki..s.
3
1 ki..s.
2
1
ki..s.2
1 ki..s.
3
1 ( )21 .2..s.
6
1kki + ki..s.
3
1 ki..s.
12
5 ki..s.
4
1 ( )α+1...s.
6
1ki
ki..s.2
1 ki..s.
6
1 ( )21.2..s.
6
1kki + ki..s.
3
1 ki..s.
4
1 ki..s.
12
1 ( )β+1...s.
6
1ki
( )21..s.2
1iik +
( )21 .2..s.6
1iik + [ ]22122111 ..2....2s..
6
1kikikiki +++ ( )21..s.
3
1iik + ( )21 .5.3..s.
12
1iik +
( )21 .3...s.12
1iik + ( ) ( )[ ]21 .1.1..s.
6
1iik αβ +++
ki..s.3
2 ki..s.
3
1 ( )21..s.
3
1kki + ki..s.
15
8 ki..s.
15
7 ki..s.
5
1 ( )βα .1...s.
3
1+ki
ki..s.3
2 ki..s.
12
5 ( )21 .5.3..s.
12
1kki + ki..s.
15
7 ki..s.
15
8 ki..s.
10
3 ( )25..s.
12
1 ββ −−ki
ki..s.3
2 ki..s.
4
1 ( )21 .3.5..s.
12
1kki + ki..s.
15
7 ki..s.
30
11 ki..s.
15
2 ( )25..s.
12
1 αα −−ki
ki..s.3
1 ki..s.
4
1 ( )21 .3..s.
12
1kki + ki..s.
5
1 ki..s.
10
3 ki..s.
5
1 ( )21..s.
12
1 αα ++ki
ki..s.3
1 ki..s.
12
1 ( )21.3..s.
12
1kki + ki..s.
5
1 ki..s.
15
2 ki..s.
30
1 ( )21..s.
12
1 ββ ++ki
ki..s.2
1 ( )α+1...s.
6
1ki ( ) ( )[ ]21 .1.1.s.
6
1kki αβ +++ ( )βα.1...s.
3
1+ki
( )25..s.12
1 ββ −−ki ( )21..s.12
1 αα ++ki
ki..s.3
1
ESTÁTICA DAS ESTRUTURAS I - PROF. IBERÊ 1 / 3
k s
s i
s k
s i
s k1 k2
s k
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s k k
α.s β.s
s i
s i1 i2
s i
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i α.s β.s