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Lösningsförslag!

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a L = K −1<br />

LL f L och f S = K T LSa L ty a S = 0<br />

⇒<br />

EA<br />

2L<br />

[<br />

2 −1<br />

−1 2<br />

] { }<br />

u2<br />

=<br />

v 3<br />

{ 0<br />

−P<br />

}<br />

{ }<br />

u2<br />

= 1 [ 2 1<br />

v 3 3 1 2<br />

] {<br />

0<br />

−2P L/EA<br />

}<br />

= − 2P L<br />

3EA<br />

{ 1<br />

2<br />

}<br />

Bestäm reaktionskrafterna f s<br />

⎡ ⎤<br />

−1 1<br />

f S = EA<br />

⎢ 0 −1<br />

⎥<br />

2L ⎣ 1 −1 ⎦<br />

−1 0<br />

{<br />

u2<br />

v 3<br />

}<br />

= − P 3<br />

⎧<br />

⎪⎨<br />

⎪⎩<br />

1<br />

−2<br />

−1<br />

−1<br />

⎫<br />

⎪⎬<br />

⎪⎭<br />

2P/3<br />

P/3<br />

P/3<br />

P/3<br />

P<br />

SVAR:<br />

{<br />

u2<br />

v 3<br />

}<br />

= − 2P L<br />

3EA<br />

{ 2<br />

1<br />

}<br />

; f S = − P 3<br />

⎧<br />

⎪⎨<br />

+ Samtliga jämviktsekvationer är satisfierade.<br />

⎪⎩<br />

1<br />

−2<br />

−1<br />

−1<br />

⎫<br />

⎪⎬<br />

⎪⎭

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