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Apostila de Treliças 2

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HA<br />

N21<br />

N31<br />

ΣFx = 0 ΣFy = 0 ΣM = 0 (Momento fletor)<br />

HA = 0 VA+VB = 2+2+2 -VB.16+2.12+2.8+2.4=0<br />

3º Passo Método dos Nós<br />

VA = 6-3 VB = 48÷16<br />

VA = 3 t VB = 3 t<br />

Decomposição das forças<br />

Nó “1” Forças Verticais (V) Forças Verticais (H)<br />

VA<br />

5).cos36,87°+N12 = 0<br />

ΣFV = 0 ΣFH = 0<br />

N13.sen36,87°+VA = 0 HA+N13.cos36,87°+N12 = 0<br />

N13.sen36,87°+3 = 0 0+(-<br />

N13 = -3÷sen36,87° N12 = 4 t<br />

N13 = -5 t<br />

Nó “2” Forças Verticais (V) Forças Verticais (H)<br />

N23<br />

N13<br />

N12<br />

ΣFV = 0 ΣFH = 0<br />

N23 = 0 -N21+N24 = 0<br />

-4+N24 = 0<br />

N24 = 4 t<br />

Nó “3” Forças Verticais (V) Forças Verticais (H)<br />

2<br />

N32<br />

N24<br />

N35<br />

N34<br />

ΣFV = 0 ΣFH = 0<br />

-2-N34.sen36,87°-N32-N31.sen36,87°+N35.sen36,87° = 0 +N34.cos36,87°-<br />

N31.cos36,87°+N35.cos36,87° = 0<br />

2<br />

N13<br />

VA<br />

N23<br />

N35<br />

N31 N32 N34<br />

HA<br />

N13<br />

N12<br />

N21 N24<br />

N31<br />

N35<br />

N34<br />

10

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