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Building Design and Construction Handbook - Merritt - Ventech!

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8.22 SECTION EIGHT<br />

8.9 MAXIMUM FLAT-WIDTH RATIOS OF<br />

COLD-FORMED SHAPES<br />

When the flat-width-thickness ratio (w/t) exceeds about 30 for an unstiffened element<br />

<strong>and</strong> about 250 for a stiffened element, noticeable buckling of the element<br />

may develop at relatively low stresses. Present practice is to permit buckles to<br />

develop in the sheet <strong>and</strong> to take advantage of what is known as post-buckling<br />

strength of the section. The effective-width formulas, Eqs. (8.5) to (8.7), are based<br />

on this practice. To avoid intolerable deformations, however, w/t, disregarding intermediate<br />

stiffeners <strong>and</strong> based on the actual thickness t of the element, should not<br />

exceed the following:<br />

Stiffened compression element having one longitudinal edge connected to 60<br />

a web or flange, the other to a simple lip<br />

Stiffened compression element with both longitudinal edges connected to 500<br />

a web or flange element, such as in a hat, U, or box-type section<br />

Unstiffened compression element 60<br />

8.10 UNIT STRESSES FOR<br />

COLD-FORMED STEEL<br />

For sheet <strong>and</strong> strip of A611, Grade C steel with a specified minimum yield strength<br />

F y � 33 ksi, use a basic allowable stress ƒ � 20 ksi in tension <strong>and</strong> bending. For<br />

other strengths of steels, ƒ is determined by taking 60% of the specified minimum<br />

yield strength F y. (This procedure implies a safety factor of 1.67.) However, an<br />

increase of 33 1 ⁄3% in allowable stress is customary for combined wind or earthquake<br />

forces with other loads. It should be noted that the 1996 AISI specification uses<br />

‘‘strength’’ (moment, force, etc.) rather than unit stress.<br />

8.11 LATERALLY UNSUPPORTED<br />

COLD-FORMED BEAMS<br />

If cold-formed steel sections are not laterally supported at frequent intervals, the<br />

allowable unit stress must be reduced to avoid failure from lateral instability. The<br />

amount of reduction depends on the shape <strong>and</strong> proportions of the section <strong>and</strong> the<br />

spacing of lateral supports. (See AISI ‘‘Specification for the <strong>Design</strong> of Cold-Formed<br />

Steel Structural Members.’’)<br />

Because of the torsional flexibility of lightweight channel <strong>and</strong> Z sections, their<br />

use as beams without close lateral support is not recommended. When a compression<br />

flange is fully connected to a deck or sheathing material, the flange is considered<br />

braced for its full length <strong>and</strong> bracing of the other flange may not be needed<br />

to prevent buckling of the beam. This depends on the collateral material <strong>and</strong> its<br />

connections, dimensions of the member, <strong>and</strong> the span.<br />

When laterally unsupported beams must be used, or where lateral buckling of a<br />

flexural member is likely to occur, consideration should be given to the use of<br />

relatively bulky sections that have two webs, such as hat or box sections (Fig. 8.1o,<br />

p, <strong>and</strong> q).

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