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SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA

SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA

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15<br />

Sile u štapovima :<br />

( )<br />

( )<br />

( )<br />

( )<br />

kN<br />

S<br />

kN<br />

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F<br />

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S<br />

S<br />

S<br />

S<br />

l<br />

A<br />

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l<br />

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S<br />

l<br />

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E<br />

l<br />

S<br />

l<br />

l<br />

l<br />

l<br />

S<br />

l<br />

S<br />

Fl<br />

M<br />

D<br />

C<br />

C<br />

D<br />

D<br />

c<br />

A<br />

4<br />

,<br />

353<br />

;<br />

9<br />

,<br />

58<br />

38<br />

,<br />

0<br />

2<br />

6<br />

1<br />

5<br />

12<br />

sin<br />

4<br />

sin<br />

3<br />

1<br />

1<br />

6<br />

2<br />

5<br />

2<br />

6<br />

10<br />

2<br />

3<br />

3<br />

5<br />

20<br />

2<br />

sin<br />

sin<br />

2<br />

sin<br />

2<br />

sin<br />

2<br />

sin<br />

sin<br />

;<br />

sin<br />

sin<br />

2<br />

2<br />

3<br />

2<br />

3<br />

1<br />

1<br />

0<br />

3<br />

1<br />

sin<br />

3<br />

2<br />

sin<br />

0<br />

1<br />

2<br />

2<br />

2<br />

1<br />

2<br />

1<br />

2<br />

1<br />

2<br />

1<br />

2<br />

1<br />

2<br />

2<br />

2<br />

1<br />

1<br />

1<br />

2<br />

2<br />

2<br />

2<br />

1<br />

1<br />

1<br />

1<br />

1<br />

1<br />

1<br />

1<br />

1<br />

2<br />

2<br />

2<br />

2<br />

2<br />

2<br />

1<br />

=<br />

=<br />

→<br />

=<br />

⎟<br />

⎠<br />

⎞<br />

⎜<br />

⎝<br />

⎛<br />

+<br />

=<br />

+<br />

=<br />

⇒<br />

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⇒<br />

⋅<br />

⋅<br />

⋅<br />

⋅<br />

⋅<br />

⋅<br />

⋅<br />

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=<br />

=<br />

→<br />

=<br />

⇒<br />

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∆<br />

=<br />

=<br />

∆<br />

=<br />

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→<br />

=<br />

=<br />

−<br />

−<br />

→<br />

=<br />

∑<br />

α<br />

β<br />

β<br />

α<br />

β<br />

α<br />

α<br />

α<br />

δ<br />

β<br />

β<br />

δ<br />

δ<br />

δ<br />

δ<br />

δ<br />

β<br />

α<br />

K<br />

K<br />

Dimenzioniranje :<br />

cm<br />

h<br />

cm<br />

b<br />

cm<br />

A<br />

b<br />

cn<br />

b<br />

h<br />

b<br />

A<br />

cm<br />

A<br />

A<br />

cm<br />

d<br />

cm<br />

m<br />

d<br />

S<br />

d<br />

S<br />

d<br />

A<br />

A<br />

S<br />

dop<br />

dop<br />

dop<br />

74<br />

,<br />

27<br />

87<br />

,<br />

13<br />

87<br />

,<br />

13<br />

2<br />

8<br />

,<br />

384<br />

2<br />

8<br />

,<br />

384<br />

2<br />

8<br />

,<br />

384<br />

48<br />

,<br />

38<br />

10<br />

10<br />

7<br />

6<br />

06<br />

,<br />

0<br />

10<br />

12<br />

10<br />

4<br />

,<br />

353<br />

4<br />

4<br />

4<br />

2<br />

2<br />

2<br />

2<br />

2<br />

1<br />

2<br />

7<br />

3<br />

1<br />

1<br />

1<br />

1<br />

2<br />

1<br />

1<br />

1<br />

1<br />

1<br />

=<br />

=<br />

=<br />

=<br />

=<br />

⇒<br />

=<br />

=<br />

⋅<br />

=<br />

=<br />

⋅<br />

=<br />

=<br />

=<br />

→<br />

=<br />

≥<br />

⋅<br />

⋅<br />

⋅<br />

⋅<br />

=<br />

≥<br />

→<br />

≥<br />

=<br />

→<br />

≤<br />

=<br />

π<br />

πσ<br />

σ<br />

π<br />

σ<br />

σ<br />

Kontrola napona :<br />

MPa<br />

MPa<br />

A<br />

S<br />

MPa<br />

MPa<br />

A<br />

S<br />

dop<br />

dop<br />

6<br />

53<br />

,<br />

1<br />

10<br />

87<br />

,<br />

13<br />

2<br />

10<br />

9<br />

,<br />

58<br />

120<br />

84<br />

,<br />

91<br />

4<br />

10<br />

7<br />

10<br />

4<br />

,<br />

353<br />

2<br />

4<br />

2<br />

3<br />

2<br />

2<br />

2<br />

1<br />

4<br />

2<br />

3<br />

1<br />

1<br />

1<br />

=<br />

≤<br />

=<br />

⋅<br />

⋅<br />

⋅<br />

=<br />

=<br />

=<br />

≤<br />

=<br />

⋅<br />

⋅<br />

=<br />

=<br />

−<br />

−<br />

σ<br />

σ<br />

σ<br />

π<br />

σ

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