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F<br />
(b) φM ox =φM bx<br />
1−<br />
HG<br />
I<br />
KJ<br />
N *<br />
(Clause 8.4.4.1 of AS 4100)<br />
φN<br />
cy<br />
⎛ 50<br />
φM ox<br />
= 34.<br />
1⎜1<br />
−<br />
⎝ 193<br />
⎞<br />
⎟<br />
⎠<br />
= 25.3 kNm<br />
therefore: φM cx = lesser of (φM ix , φM ox )<br />
= 25.3 kNm<br />
(Clause 8.4.2.2 of AS 4100)<br />
φM<br />
iy<br />
⎧<br />
⎪⎡<br />
⎛1+<br />
β<br />
= φMsy<br />
⎨⎢1−<br />
⎝<br />
⎜<br />
⎣⎢<br />
2<br />
⎩⎪<br />
my<br />
⎞<br />
⎠<br />
⎟<br />
⎤⎛<br />
N ⎞ β<br />
⎥ −<br />
φNcy<br />
⎦⎥<br />
⎝<br />
⎜<br />
⎠<br />
⎟ + ⎛ +<br />
1 1.<br />
18 1 ⎝<br />
⎜<br />
2<br />
3 *<br />
my<br />
3<br />
⎞<br />
⎠<br />
⎟<br />
⎛ N<br />
−<br />
⎝<br />
⎜1<br />
φN<br />
*<br />
cy<br />
⎞ ⎫<br />
⎪<br />
⎠<br />
⎟ ⎬ ≤ φM<br />
⎭⎪<br />
ry<br />
φM<br />
iy =<br />
23 9 ⎧⎡<br />
+ −<br />
−<br />
⎛ ⎞ ⎤⎛<br />
⎢<br />
⎣<br />
⎝ ⎠ ⎥ −<br />
⎞<br />
⎦<br />
⎝ ⎠ + ⎛ + − ⎞<br />
⎨<br />
⎝ ⎠<br />
⎩⎪<br />
1 1 ( 1)<br />
50<br />
1 118 1 (<br />
.<br />
1 )<br />
.<br />
2 193 2<br />
3 3<br />
⎛ 50<br />
−<br />
⎞ ⎫<br />
1<br />
kNm<br />
⎝ ⎠<br />
⎬<br />
193 ⎭⎪ ≤ 17.<br />
7<br />
∴ φM iy = 17.7 kNm ≤ φM ry = 23.9 kNm<br />
Then<br />
*<br />
⎛ Mx<br />
⎜<br />
⎝ φM<br />
cx<br />
14 . * 14 .<br />
⎞ My<br />
⎟ + ⎛ ⎞<br />
⎠ ⎝ ⎜ M<br />
⎟<br />
iy⎠<br />
≤ 1<br />
⎛ 22 ⎞<br />
⎝ 25.<br />
3⎠<br />
14 . 14 .<br />
512 .<br />
+ ⎛ ⎞<br />
⎝17.<br />
7⎠<br />
≤ 1<br />
(Clause 8.4.5.1 of AS 4100)<br />
= 0.998 < 1 Therefore OK<br />
DuraGal DESIGN CAPACITY TABLES<br />
DCTDHS/06<br />
D7-22 for STRUCTURAL STEEL HOLLOW SECTIONS MARCH 2002
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