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UNIVERSIDADE DE SÃO PAULO - Sistemas SET

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a) Eixo de maior inércia:<br />

b h<br />

= Z ps<br />

(5.6)<br />

4<br />

Z pc<br />

c<br />

2<br />

c<br />

− Z pa −<br />

a.1) Linha neutra plástica na alma do perfil de aço ( hn ≤ h/2 - tf ):<br />

h<br />

n<br />

Ac<br />

f cd − Asn(2f<br />

sd − fcd<br />

)<br />

= (5.7)<br />

2b f + 2t (2f − f )<br />

pan<br />

c<br />

cd<br />

2<br />

w n<br />

w<br />

yd<br />

cd<br />

Z = t h<br />

(5.8)<br />

n<br />

∑<br />

i=<br />

1<br />

Z = A e<br />

(5.9)<br />

psn<br />

pcn<br />

c<br />

2<br />

n<br />

sni<br />

yi<br />

Z = b h − Z − Z<br />

(5.10)<br />

pan<br />

psn<br />

a.2) Linha neutra plástica na mesa do perfil de aço (h/2 - tf < hn < h/2 ):<br />

h<br />

Z<br />

n<br />

Ac<br />

f cd − Asn(2f<br />

sd − fcd<br />

) + ( b f - tw<br />

)(h - 2t f )(2f yd - f cd )<br />

= (5.11)<br />

2b f + 2b<br />

f (2f − f )<br />

pan<br />

pcn<br />

c<br />

cd<br />

yd<br />

cd<br />

2<br />

( b f − tw<br />

)(h − 2t f )<br />

2<br />

= bchn<br />

−<br />

(5.12)<br />

4<br />

Z = b h − Z − Z<br />

(5.13)<br />

c<br />

2<br />

n<br />

pan<br />

psn<br />

a.3) Linha neutra plástica fora do perfil de aço (h/2 < hn < hc/2 ):<br />

c<br />

cd<br />

147<br />

Ac<br />

f cd − Asn(2f<br />

sd − f cd ) - Aa<br />

(2f yd - fcd<br />

)<br />

hn<br />

= (5.14)<br />

2b f

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