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Building Design and Construction Handbook - Merritt - Ventech!

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7.50 SECTION SEVEN<br />

TABLE 7.11 Tension on Gross Area<br />

Allowable tensile<br />

stress (ASD)<br />

Fy, ksi Ft, ksi<br />

Unit design tensile<br />

strength (LRFD)<br />

F y, ksi �P n/A g<br />

36 21.6 36 32.4<br />

42 25.2 42 37.8<br />

45 27.0 45 30.5<br />

50 30.0 50 45.0<br />

55 33.0 55 49.5<br />

60 36.0 60 54.0<br />

A36 steel, the allowable tension stresses for gross <strong>and</strong> net areas are 22.0 <strong>and</strong> 29.0<br />

ksi, respectively, <strong>and</strong> in the case of pin plates, 16.2 ksi.<br />

7.18.2 LRFD of Tension Members<br />

<strong>Design</strong> tensile strength �P n, kips, of the gross area A g,in 2 , should not exceed<br />

0.90F y, where F y is the minimum yield stress of the steel (Table 7.9) <strong>and</strong> P n �<br />

A gF y. Nor should the design tensile strength �P n, kips, exceed 0.75F u on the net<br />

area A e,in 2 , of the member. Other criteria control the design tensile strength of pinconnected<br />

members. (Refer to the AISC specification for LRFD.)<br />

7.19 COLUMNS AND OTHER<br />

COMPRESSION MEMBERS<br />

The principal factors governing the proportioning of members carrying compressive<br />

forces are overall column buckling, local buckling, <strong>and</strong> gross section area. The<br />

effect of overall column buckling depends on the slenderness ratio Kl/r, where Kl<br />

is the effective length, in, of the column, l is the unbraced length, <strong>and</strong> r is the least<br />

radius of gyration, in, of the cross section. The effect of local buckling depends on<br />

the width-thickness ratios of the individual elements of the member cross section.<br />

W shapes with depths of 8, 10, 12, <strong>and</strong> 14 in are most commonly used for<br />

building columns <strong>and</strong> other compression members. For unbraced compression<br />

members, the most efficient shape is one where the value of r y with respect to the<br />

minor axis approaches the value of r x with respect to the major axis.<br />

When built-up sections are used as compression members, the element joining<br />

the principal load-carrying elements, such as lacing bars, should have a shear capacity<br />

of at least 2% of the axial load.<br />

7.19.1 Effective Column Length<br />

Proper application of the column capacity formulas for ASD or LRFD depends on<br />

judicious selection of K. This term is defined as the ratio of effective column length<br />

to actual unbraced length.

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