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Building Design and Construction Handbook - Merritt - Ventech!

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COLD-FORMED STEEL CONSTRUCTION 8.19<br />

FIGURE 8.7 Curves relate effective-width ratio b/t to flat-width ratio w /t at various stresses ƒ<br />

for (a) unstiffened elements <strong>and</strong> (b) stiffened elements.<br />

stiffened element in a cold-formed steel member loaded as a beam. However, in<br />

beam strength determinations requiring use of the section modulus of the cross<br />

section, 1.67ƒ is the stress to be used in Eq. (8.9) to calculate the effective width<br />

of the stiffened element <strong>and</strong> provide a margin of safety.<br />

In determination of the safe loads for a cold-formed steel section used as a<br />

column, effective width for a stiffened element must be determined for a nominal<br />

buckling stress, Fn, to ensure an adequate margin of safety.<br />

Since effective widths are proportional to �k,<br />

the effective width of a stiffened<br />

element is �4.00/0.43 � 3.05 times as large as that of an unstiffened element at<br />

applicable combinations of ƒ <strong>and</strong> w/t. Thus, stiffened elements offer greater<br />

strength <strong>and</strong> economy.<br />

Single Intermediate Stiffener. For uniformly compressed stiffened elements with<br />

a single intermediate stiffener, as shown in Fig. 8.6c, calculations for required moment<br />

of inertia I a of the stiffener are based on a parameter S.<br />

S � 1.28�E/ƒ (8.10)<br />

For Case I, S � b o/t, where b o � flat width, in, including the stiffener. I a � 0<br />

<strong>and</strong> no stiffener is required.<br />

For Case II, S � b o/t � 3S. The required moment of inertia is determined from<br />

4 I a/t� [50(b o/t)/S]<br />

� 50 (8.11a)<br />

For Case III, b o/t � 3S. The required moment of inertia is determined from<br />

4<br />

I /t � [128(b /t)/S] � 285 (8.11b)<br />

a o

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