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flexao.pdf
1.
Flexão em Barras Esbeltas Mecânica
dos Sólidos I
2.
MomentoFletoreEsforçoCortante
3.
EquaçõesDiferenciaisdeEquilíbrio
4.
Tensões de Flexões
em Vigas (barras) An Introduction to Solid Mechanics – Crandall et all. Seções Transversais Simétricas em relação à y “Flexão Pura”: Momento Fletor constante ao longo do eixo x
5.
Geometria da Deformação An
Introduction to Solid Mechanics – Crandall et all.
6.
Geometriada Deformação x y I J N M Deformação
Nula
7.
Estadode Deformaçõese Tensões Simetria
– Flexão Pura
8.
Equilíbrio
9.
Equilíbrio Linha Neutra coincide
com a linha que passa pelos centróides das seções transverais
10.
Equilíbrio
11.
Flexão
12.
Geometriada Deformação
13.
Geometriada Deformação: Campode Deslocamentos
14.
15.
Geometriada Deformação: ConfiguraçãoDeformada x Y v(x) A configuração
deformada da viga é definida completamente pela posição da linha neutra, ou seja pela função v(x) (seções transversais permanecem planas e ortogonais à linha neutra) Linha neutra
16.
Exemplo (caso estaticamentedeterminado) P L Rigidez à
flexão: EI M(x) x PL
17.
Integrando a relação
Momento-Curvatura Condições de apoio (contorno):
18.
Exemplo (funçõesdesingularidade) x M(x)
19.
Funçõesde Singularidade
20.
Distribuiçãode MomentoFletor
21.
Integrando a relação
momento curvatura
22.
23.
Exemplos: ProblemasEstaticamenteIndeterminados Equilíbrio : Distribuição de Momento
Fletor An Introduction to Solid Mechanics – Crandall et all.
24.
Condições de Apoio
(contorno): 3 condições : 2 constantes de integração + “indeterminação”
25.
Integrando a relação
momento-curvatura
26.
27.
28.
Superposição Observação Importante: Condições
de apoio
29.
Revisitandoo exemplo anterior P RA Importante
: vínculo cinemático v(0) = 0
30.
Dados da “
tabela “
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