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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55<br />
Iz kriterija �vrsto�e za maksimalna normalna i posmi�na naprezanja :<br />
m<br />
Q<br />
t<br />
t<br />
t<br />
Q<br />
t<br />
t<br />
h<br />
t<br />
h<br />
t<br />
h<br />
bt<br />
b<br />
S<br />
b<br />
S<br />
I<br />
Q<br />
m<br />
M<br />
t<br />
t<br />
M<br />
W<br />
M<br />
dop<br />
y<br />
dop<br />
y<br />
zy<br />
x<br />
dop<br />
x<br />
x<br />
y<br />
zy<br />
dop<br />
x<br />
dop<br />
x<br />
x<br />
x<br />
z<br />
3<br />
max<br />
2<br />
4<br />
max<br />
max<br />
2<br />
max<br />
max<br />
max<br />
max<br />
3<br />
3<br />
max<br />
3<br />
max<br />
max<br />
max<br />
10<br />
46<br />
,<br />
2<br />
2432<br />
134<br />
134<br />
2432<br />
134<br />
4<br />
2<br />
2<br />
10<br />
03<br />
,<br />
7<br />
09<br />
,<br />
221<br />
09<br />
,<br />
221<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 />
τ<br />
τ<br />
τ<br />
τ<br />
τ<br />
σ<br />
σ<br />
σ<br />
Zaklju�uje se da je za dimenzioniranje mjerodavan kriterij maksimalnih normalnih naprezanja i<br />
usvaja se :<br />
4<br />
6<br />
10<br />
18<br />
,<br />
6<br />
,<br />
8<br />
,<br />
56<br />
8<br />
,<br />
142<br />
20<br />
,<br />
1<br />
,<br />
7 mm<br />
I<br />
mm<br />
t<br />
b<br />
mm<br />
t<br />
h<br />
mm<br />
t x<br />
−<br />
⋅<br />
=<br />
=<br />
=<br />
=<br />
=<br />
=<br />
Provjera naprezanja u presjecima 1 i 2 :<br />
MPa<br />
MPa<br />
b<br />
S<br />
I<br />
Q<br />
MPa<br />
MPa<br />
y<br />
I<br />
M<br />
kN<br />
Q<br />
kNm<br />
M<br />
MPa<br />
MPa<br />
b<br />
S<br />
I<br />
Q<br />
MPa<br />
MPa<br />
y<br />
I<br />
M<br />
kN<br />
Q<br />
kNm<br />
M<br />
dop<br />
x<br />
x<br />
mj<br />
y<br />
zymj<br />
dop<br />
mj<br />
x<br />
mj<br />
x<br />
mj<br />
z<br />
mj<br />
y<br />
mj<br />
x<br />
dop<br />
x<br />
x<br />
mj<br />
y<br />
zymj<br />
dop<br />
mj<br />
x<br />
mj<br />
x<br />
mj<br />
z<br />
mj<br />
y<br />
mj<br />
x<br />
60<br />
026<br />
,<br />
0<br />
0071<br />
,<br />
0<br />
84<br />
10<br />
18<br />
,<br />
6<br />
3400<br />
120<br />
94<br />
,<br />
85<br />
0781<br />
,<br />
0<br />
10<br />
18<br />
,<br />
6<br />
6800<br />
4<br />
,<br />
3<br />
8<br />
,<br />
6<br />
60<br />
051<br />
,<br />
0<br />
0071<br />
,<br />
0<br />
134<br />
10<br />
18<br />
,<br />
6<br />
6600<br />
120<br />
26<br />
,<br />
116<br />
0781<br />
,<br />
0<br />
10<br />
18<br />
,<br />
6<br />
9200<br />
6<br />
,<br />
2<br />
2<br />
,<br />
9<br />
3<br />
6<br />
max<br />
2<br />
6<br />
2<br />
2<br />
1<br />
2<br />
3<br />
6<br />
max<br />
1<br />
6<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 />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎝<br />
⎛<br />
=<br />
=<br />
≤<br />
=<br />
⋅<br />
⋅<br />
=<br />
=<br />
=<br />
=<br />
−<br />
−<br />
−<br />
−<br />
τ<br />
τ<br />
σ<br />
σ<br />
τ<br />
τ<br />
σ<br />
σ