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Steel Designers Manual - TheBestFriend.org

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This material is copyright - all rights reserved. Reproduced under licence from The <strong>Steel</strong> Construction Institute on 12/2/2007<br />

To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.<strong>org</strong>/<br />

<strong>Steel</strong> <strong>Designers</strong>' <strong>Manual</strong> - 6th Edition (2003)<br />

654 Composite columns<br />

It should be noted that the above approach assumes that loads are not applied<br />

laterally over the column length. Concentric and eccentric axial loads cause<br />

relatively low interface shear stresses between the steel and the concrete. Lateral<br />

loads cause greater shear stresses and may necessitate the introduction of shearconnectors<br />

(as for composite beams – see Chapter 21, section 21.4).<br />

22.1.4 Cased strut method<br />

The traditional method of designing cased columns, presented in BS 449: 1969, 2 can<br />

be very conservative but is readily accepted as a method of simple design.<br />

The minimum width of the concrete casing, according to BS 449, should be the<br />

flange width b of the steel section plus 100 mm. At least four reinforcing bars are to<br />

be located in the concrete at a cover not exceeding 50 mm, to which 5 mm diameter<br />

steel stirrups are attached at spacings not exceeding 200 mm.The normal aggregate<br />

size is 10 mm and the minimum concrete grade is 21 N/mm 2 .<br />

To establish the axial capacity of the cased column (or strut), the radius of<br />

gyration of the solid section is taken as 0.2 (b + 100) mm, or alternatively that of<br />

the major axis of the steel section. The cross section excludes any concrete cover<br />

in excess of 75 mm from the overall dimension of the steel section. The net area of<br />

concrete is replaced by an equivalent area of steel by dividing by a modular ratio<br />

of 30.<br />

Therefore, knowing the permissible axial stress, as a function of the effective slenderness<br />

of the cased column, and the equivalent area of steel, the axial capacity of<br />

the section can be easily calculated. However, an onerous limit on the use of this<br />

method is that axial load on the cased column should not exceed twice that permitted<br />

on the uncased section.<br />

22.2 Design of encased composite columns<br />

22.2.1 Axial load resistance<br />

The design of composite columns is described in BS 5400: Part 5 1 and in Eurocode<br />

4 (draft). 3 It is based on the method developed by Basu and Sommerville 4 and modified<br />

by Virdi and Dowling. 5 The maximum compressive resistance (squash load) of<br />

a stocky column is:<br />

Pu = 0.45fcuAc + Aspy + 0.87Arfy<br />

where Ac is the cross-sectional area of concrete<br />

As is the cross-sectional area of the steel section<br />

Ar is the cross-sectional area of the reinforcement<br />

(22.1)

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