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STAVEBNÍ MECHANIKA 3 - SM 3 - Jenin

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Prutový prvek<br />

L<br />

0<br />

PRICIP VIRTUÁLNÍCH POSUNUTÍ - pokračování<br />

L<br />

0<br />

L<br />

0<br />

EAu ′′<br />

0δu0 dx = [EAu ′<br />

0δu0] L 0 −<br />

L<br />

κGA(ϕ ′<br />

y + w ′′ )δw dx = [κGA(ϕy + w ′<br />

)δw] L 0<br />

−<br />

L<br />

[EIyϕ ′′<br />

y − κGA(ϕy + w ′<br />

)]δϕy dx = [EIyϕ ′<br />

yδϕy] L 0 −<br />

0<br />

0<br />

EAu ′<br />

0δu ′<br />

0 dx (93)<br />

κGA(ϕ ′<br />

y + w ′′ )δw ′ dx (94)<br />

L<br />

0<br />

[EIyϕ ′<br />

yδϕ ′<br />

y<br />

+ κGA(ϕ + w ′<br />

)δϕy] dx (95)<br />

S ohledem na obrázek můžeme hraniční členy v rovnicích (93)- (95) vyjádřit ve tvaru<br />

<br />

EAu ′<br />

L 0δu0<br />

0<br />

= −N0δu 0 0 + NLδu L 0 = RN0δu 0 0 + RNLδu L <br />

κGA(ϕy + w<br />

0 (96)<br />

′<br />

L )δw<br />

0<br />

= −Q0δw 0 + QLδw L 0 = RQ0δw 0 + RQLδw L<br />

<br />

EIyϕ<br />

(97)<br />

′<br />

L yδϕy = −My0δϕ 0 y + MyLδϕ L y = RM0δϕ 0 y + RMLδϕ L y (98)<br />

0

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