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Building Design and Construction Handbook - Merritt - Ventech!

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COLD-FORMED STEEL CONSTRUCTION 8.23<br />

8.12 ALLOWABLE SHEAR STRENGTH IN WEBS<br />

The shear V, kips, at any section should not exceed the allowable shear V a, kips,<br />

calculated as follows:<br />

For h/t � 0.96�k E/F ,<br />

v y<br />

For 0.96�kvE/Fy� h/t � 1.415�kvE/F<br />

y,<br />

For h/t � 1.415�k E/F ,<br />

v y<br />

V � 0.4F ht (8.17)<br />

a y<br />

2 Va � 0.38t �kvEF y<br />

(8.18)<br />

3<br />

Va � 0.54kvEt /h (8.19)<br />

where t � web thickness, in<br />

h � depth of the flat portion of the web measured along the plane of the<br />

web, in<br />

E � modulus of elasticity of the steel � 29,500 ksi<br />

kv � shear buckling coefficient � 5.34 for unreinforced webs for which<br />

(h/t) does not exceed 200<br />

max<br />

F y � specified yield stress of the steel, ksi<br />

For design of reinforced webs, especially when h/t exceeds 200, see AISI ‘‘Specification<br />

for the <strong>Design</strong> of Cold-Formed Steel Structural Members.’’<br />

For a web consisting of two or more sheets, each sheet should be considered as<br />

a separate element carrying its share of the shear.<br />

For beams with unreinforced webs, the moment M <strong>and</strong> shear V should satisfy<br />

the following interaction equation:<br />

where M �<br />

axo<br />

2 2<br />

(M/M axo) � (V/V a)<br />

� 1.0 (8.20)<br />

allowable moment about the centroidal axis, in-kips, when bending<br />

alone is present<br />

V a � allowable shear, kips, when shear alone exists<br />

M � applied bending moment, in-kips<br />

V � actual shear, kips<br />

In addition to above, web crippling should also be checked.<br />

8.13 CONCENTRICALLY LOADED<br />

COMPRESSION MEMBERS<br />

The following formulas apply to members in which the resultant of all loads acting<br />

on a member is an axial load passing through the centroid of the effective section<br />

(calculated at the nominal buckling stress F n, ksi). The axial load should not exceed<br />

P a, kips, calculated from<br />

P � P /� (8.21)<br />

a n c

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