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Building Design and Construction Handbook - Merritt - Ventech!

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STRUCTURAL STEEL CONSTRUCTION 7.37<br />

a column or the unsupported length of the compression flange of a beam. But there<br />

is no generally accepted method of calculating that force.<br />

The principal function of a brace is to provide a node in the buckled configuration.<br />

Hence, rigidity is the main requirement for the brace. But actual members<br />

do contain nonuniform residual stresses <strong>and</strong> slight initial crookedness <strong>and</strong> may be<br />

slightly misaligned, <strong>and</strong> these eccentricities create deformations that must be resisted<br />

by the brace.<br />

A rule used by some designers that has proved satisfactory is to design the brace<br />

for 2% of the axial load of columns, or 2% of the total compressive stress in beam<br />

flanges. Studies <strong>and</strong> experimental evidence indicate that this rule is conservative.<br />

7.12.1 Column Bracing<br />

Interior columns of a multistory building are seldom braced between floor connections.<br />

Bracing of any kind generally interferes with occupancy requirements <strong>and</strong><br />

architectural considerations. Since the slenderness ratio l/r in the weak direction<br />

usually controls column size, greatest economy is achieved by using only wideflange<br />

column sections or similar built-up sections.<br />

It is frequently possible to reduce the size of wall columns by introducing knee<br />

braces or struts in the plane of the wall, or by taking advantage of deep sp<strong>and</strong>rels<br />

or girts that may be otherwise required. Thus the slenderness ratio of the weak <strong>and</strong><br />

strong axis can be brought into approximate balance. The saving in column weight<br />

may not always be justified; one must take into account the weight of additional<br />

bracing <strong>and</strong> cost of extra details.<br />

Column bracing is prevalent in industrial buildings because greater vertical clearances<br />

necessitate longer columns. Tall slender columns may be braced about both<br />

axes to obtain an efficient design.<br />

Undoubtedly, heavy masonry walls afford substantial lateral support to steel<br />

columns embedded wholly or partly in the wall. The general practice, however, is<br />

to disregard this assistance.<br />

An important factor in determining column bracing is the allowable stress or<br />

load for the column section (Art. 7.19). Column formulas for obtaining this stress<br />

are based on the ratio of two variables, effective length Kl <strong>and</strong> the physical property<br />

called radius of gyration r.<br />

The question of when to brace (to reduce the unsupported length <strong>and</strong> thus slenderness<br />

ratio) is largely a matter of economics <strong>and</strong> architectural arrangements; thus<br />

no general answer can be given.<br />

7.12.2 Beam Bracing<br />

Economy in size of member dictates whether laterally unsupported beams should<br />

have additional lateral support between end supports. Lateral support at intermediate<br />

points should be considered whenever the allowable stress obtained from the reduction<br />

formulas for large l/r t falls below some margin, say 25%, of the stress<br />

allowed for the fully braced condition. There are cases, however, where stresses as<br />

low as 4.0 ksi have been justified, because intermediate lateral support was impractical.<br />

The question often arises: When is a steel beam laterally supported? There is<br />

no fixed rule in specifications (nor any intended in this discussion) because the

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