SKRIPTA RIJEÅ ENIH ZADATAKA IZ OTPORNOSTI MATERIJALA
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 />
S<br />
F<br />
F<br />
F<br />
S<br />
S<br />
S<br />
S<br />
l<br />
A<br />
E<br />
l<br />
A<br />
E<br />
S<br />
S<br />
l<br />
A<br />
E<br />
l<br />
A<br />
E<br />
S<br />
A<br />
E<br />
l<br />
S<br />
A<br />
E<br />
l<br />
S<br />
A<br />
E<br />
l<br />
S<br />
l<br />
A<br />
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 />
⇒<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 />
→<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