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Metoda sił - rama, symetria antysymetria - Instytut Konstrukcji ...

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Hasan Qaraqish, Paweł Wasiniewski<br />

Gr. 3 rok III<br />

Obliczanie układów statycznie niewyznaczalnych<br />

δ<br />

δ<br />

δ<br />

= δ<br />

12 21<br />

=<br />

1P<br />

8<br />

EI<br />

1<br />

2<br />

− 214,664<br />

= [ −0,5<br />

⋅ 4 ⋅ 4 ⋅ ( ⋅33,5<br />

+ 1/ 3⋅13,5)]<br />

=<br />

EI<br />

3<br />

EI<br />

2<br />

1<br />

2 3⋅3<br />

1<br />

= ( −0,5<br />

⋅3⋅13,5<br />

⋅1+<br />

⋅ ⋅3⋅1)<br />

+ ( −0,5<br />

⋅ 4 ⋅13,5<br />

⋅1−<br />

0,5 ⋅ 4 ⋅33,5<br />

⋅1)<br />

=<br />

2EI<br />

3 8 EI<br />

2P<br />

−<br />

100,75<br />

EI<br />

WYZNACZANIE X 1 , X 2<br />

21,333 8<br />

X 1 +<br />

EI EI<br />

8 5,5<br />

X 1 + X 2<br />

EI EI<br />

214,664<br />

X 2 − = 0<br />

EI<br />

100,75<br />

− = 0<br />

EI<br />

X<br />

X<br />

1<br />

2<br />

= 7,017<br />

= 8,11<br />

[ kN]<br />

[ kN]<br />

5 kN<br />

3 kN/m<br />

2EI<br />

8,11<br />

7,017<br />

EI<br />

4<br />

∑ X :<br />

∑ Y :<br />

H A<br />

= 2, 017kN<br />

R A<br />

= 9kN<br />

∑ M<br />

A<br />

: M A<br />

= 2, 678kNm<br />

8

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