Fórmulas para a execução do Projecto de estabilidade – Betão Armado

O projecto de estabilidade é um dos mais importantes projectos de especialidade de Engenharia Civil.

Para a elaboração do projecto de betão armado é necessário o cálculo e verificação dos seguintes itens:

Verificação da Segurança em Relação aos Estados Limites Últimos (ELU)

A verificação da segurança em relação aos ELU que não envolvam perda de equilíbrio ou fadiga, quando feita em termos de esforços, consiste em respeitar a condição:

Sd ≤  Rd

Sendo:

Sd – valor de cálculo do esforço actuante;

Rd – valor de cálculo do esforço resistente.

–  Para combinações fundamentais:

Cálculo do esforço actuante – Combinações Fundamentais

No caso da acção variável de base ser a acção sísmica:

Cálculo do esforço actuante – Acção Sísmica

 

 

–         Para combinações acidentais:

 

 

Cálculo do esforço actuante – Combinações Acidentais

Sendo:

 

SGik – esforço resultante de uma acção permanente (valor característico);

SQ1k – esforço resultante da acção variável considerada como acção de base da combinação (valor característico), SEk ,no caso da acção sísmica;

SQjk – esforço resultante de uma acção variável distinta da acção de base (valor característico);

SFa – esforço resultante de uma acção de acidente (valor nominal);

γgi – coeficiente de segurança relativo às acções permanentes (1,35 – efeito desfavorável; 1,0 – efeito favorável)

γq – coeficiente de segurança relativo às acções variáveis (1, 5 – efeito desfavorável ; 0 – efeito favorável)

ψi – coeficientes de redução (< 1,0) relativos às respectivas acções variáveis.

Verificação da Segurança em Relação aos Estados Limites de Serviço (ELS)

 

Estados limites de muito curta duração (poucas horas no período de vida da estrutura) – Combinações raras (ou características):

A verificação de segurança exprime-se verificando que os valores dos parâmetros que definem os estados limites (abertura de fendas, deformações, tensões) são iguais ou superiores aos obtidos a partir das acções combinadas como se indica seguidamente:

 

Estados limites de curta duração (cerca de 5% do período de vida da estrutura) – Combinações frequentes:

 

 

 

Estados limites de longa duração (cerca de metade do período de vida da estrutura) – Combinações quase permanentes:

 

Sendo:

Gmi – cargas permanentes (valor médio);

Q1k – acção variável de base (valor característico);

ψ 1 . Qk – valor frequente da acção variável Qk;

ψ 2 . Qk – valor quase permanente da acção variável Qk.

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About Carla Alves

Carla Alves, Licenciada em Engenharia Civil pela Universidade da Beira Interior. Engenheira Civil Efectiva da Ordem dos Engenheiros. Faço projectos de especialidade de Engenharia Civil com freelancer e estou à procura de um emprego em Engenharia Civil.

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  67. FRANCISCO RICARDO says:

    Sou estudante de engenharia e gostaria de saber para calculo de estacas só consideramos a combinação rara? O vento não entra?

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