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Steel Designers Manual - TheBestFriend.org

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This material is copyright - all rights reserved. Reproduced under licence from The <strong>Steel</strong> Construction Institute on 12/2/2007<br />

To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.<strong>org</strong>/<br />

<strong>Steel</strong> <strong>Designers</strong>' <strong>Manual</strong> - 6th Edition (2003)<br />

KIL<br />

KBL<br />

(a)<br />

(c)<br />

' Ku<br />

/ KTR<br />

K:<br />

-L<br />

pinned<br />

k1<br />

1 .C<br />

, e\<br />

N<br />

:; — — - -<br />

0.8 - - — -<br />

0.7<br />

H<br />

0.1<br />

fixed 0 0 0.2<br />

pinned 10<br />

fixed<br />

— . —<br />

(d)<br />

.<br />

'.. —ç<br />

-- - -<br />

N,;.\\ \<br />

.:<br />

0.4 0.6<br />

(b)<br />

: : z..<br />

\\<br />

0.8 1.0<br />

pinned<br />

0.8 : S<br />

07 - ; z ::<br />

Jr<br />

.... N<br />

k1 0.,<br />

0.4<br />

0 ..... \\\ - \\<br />

.. .'<br />

-<br />

, \ \ .- . ;., : -\ -.<br />

0.2 \__' \ \<br />

\ \<br />

0.1<br />

fixed o<br />

0 0.2 0.4 0.6 0.8 1.0<br />

fixed<br />

Effective lengths 419<br />

pinned<br />

Fig. 15.12 Limited frames and corresponding effective length charts of BS 5950: Part 1. (a)<br />

Limited frame and (b) effective length ratios (k 3 =•), for non-sway frames. (c)<br />

Limited frame and (d) effective length ratios (without partial bracing, k 3 = 0), for<br />

sway frames<br />

length charts. For the former, the factors will vary between 0.5 and 1.0 depending<br />

on the values of k1 and k2, while for the latter, the variation will be between 1.0 and<br />

•. These end points correspond to cases of: rotationally fixed ends with no sway and<br />

rotationally free ends with no sway; rotationally fixed ends with free sway and rotationally<br />

free ends with free sway.<br />

For beams not rigidly connected to the column or for situations in which significant<br />

plasticity either at a beam end or at either column end would prevent the

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