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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 />

the plane of the flanges, rather than the plane of the web, always controls the pure<br />

axial load case, the comparatively wide flanges ensure that the strong-axis moment<br />

capacity Mcx is not reduced very much by lateral–torsional buckling effects for most<br />

practical arrangements. Indeed the condition Mb = Mcx will often be satisfied.<br />

In building frames designed according to the principles of simple construction,<br />

the columns are unlikely to be required to carry large moments. This arises from<br />

the design process by which compressive loads are accumulated down the building<br />

but the moments affecting the design of a particular column lift are only those from<br />

the floors at the top and bottom of the storey height under consideration. In such<br />

cases preliminary member selection may conveniently be made by adding a small<br />

percentage to the actual axial load to allow for the presence of the relatively small<br />

moments and then choosing an appropriate trial size from the tables of compressive<br />

resistance given in Reference 1. For moments about both axes, as in corner<br />

columns, a larger percentage to allow for biaxial bending is normally appropriate,<br />

while for internal columns in a regular grid with no consideration of pattern loading,<br />

the design condition may actually be one of pure axial load.<br />

The natural and most economic way to resist moments in columns is to frame the<br />

major beams into the column flanges since, even for UCs, Mcx will always be comfortably<br />

larger than Mcy. For structures designed as a series of two-dimensional<br />

frames in which the columns are required to carry quite high moments about one<br />

axis but relatively low compressive loads, UBs may well be an appropriate choice<br />

of member. The example of this arrangement usually quoted is the single-storey<br />

portal building, although here the presence of cranes, producing much higher axial<br />

loads, the height, leading to large column slenderness, or a combination of the two,<br />

may result in UCs being a more suitable choice. UBs used as columns also suffer<br />

from the fact that the d/t values for the webs of many sections are non-compact<br />

when the applied loading leads to a set of web stresses that have a mean compressive<br />

component of more than about 70–100 N/mm 2 .<br />

18.5 Basic design procedure<br />

Basic design procedure 523<br />

When the distribution of moments and forces throughout the structure has been<br />

determined, for example, from a frame analysis in the case of continuous construction<br />

or by statics for simple construction, the design of a member subject to compression<br />

and bending consists of checking that a trial member satisfies the design<br />

conditions being used by ensuring that it falls within the design boundary defined<br />

by the type of diagram shown as Fig. 18.3. BS 5950 and BS 5400 therefore contain<br />

sets of interaction formulae which approximate such boundaries, use of which will<br />

automatically involve the equivalent procedures for the component load cases of<br />

strut design and beam design, to define the end points. Where these procedures<br />

permit the use of equivalent uniform moments for the stability check, they also<br />

require a separate strength check.

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