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Building Design and Construction Handbook - Merritt - Ventech!

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WOOD CONSTRUCTION 10.25<br />

TABLE 10.16 Recommended Minimum Camber for<br />

Glued-Laminated Timber Beams*<br />

Roof beams† 11 ⁄2 times dead-load deflection<br />

Floor beams‡ 11 Bridge beams:§<br />

⁄2 times dead-load deflection<br />

Long span 2 times dead-load deflection<br />

Short span 2 times dead-load plus 1 ⁄2 applied-load deflection<br />

* Camber <strong>and</strong> Deflection, AITC 102, Appendix B, American Institute of Timber<br />

<strong>Construction</strong>.<br />

‡ The minimum camber of 1 1 ⁄2 times dead-load deflection will produce a<br />

nearly level member under dead load alone after plastic deformation has occurred.<br />

Additional camber is usually provided to improve appearance or provide necessary<br />

roof drainage.<br />

‡ The minimum camber of 1 1 ⁄2 times dead-load deflection will produce a<br />

nearly level member under dead load alone after plastic deformation has occurred.<br />

On long spans, a level ceiling may not be desirable because of the optical illusion<br />

that the ceiling sags. For warehouse or similar floors where live load may remain<br />

for long periods, additional camber should be provided to give a level floor under<br />

the permanently applied load.<br />

§ Bridge members are normally cambered for dead load only on multiple spans<br />

to obtain acceptable riding qualities.<br />

camber (Table 10.16), to avoid ponding. As a general guideline, when flat roofs<br />

have insufficient slope for drainage (less than 1 ⁄4 in/ft), the stiffness of supporting<br />

members should be such that a 5-lb/ft 2 load will cause no more than 1 ⁄2-in deflection.<br />

Because of ponding, snow loads or water trapped by gravel stops, parapet walls,<br />

or ice dams magnify stresses <strong>and</strong> deflections from existing roof loads by<br />

1<br />

Cp � (10.20)<br />

3 4<br />

1 � W�L /� EI<br />

where C p � factor for multiplying stresses <strong>and</strong> deflections under existing loads to<br />

determine stresses <strong>and</strong> deflections under existing loads plus ponding<br />

W� � weight of 1 in of water on roof area supported by beam, lb<br />

L � span of beam, in<br />

E � modulus of elasticity of beam material, psi<br />

I � moment of inertia of beam, in 4<br />

(Kuenzi <strong>and</strong> Bohannan, ‘‘Increases in Deflection <strong>and</strong> Stresses Caused by Ponding<br />

of Water on Roofs,’’ Forest Products Laboratory, Madison, Wis.)<br />

10.7.4 Bearing Stresses in Beams<br />

Bearing stresses, or compression stresses perpendicular to the grain, in a beam occur<br />

at the supports or at places where other framing members are supported on the<br />

beam. The compressive stress in the beam ƒ c� is given by<br />

ƒ � P/A (10.21)<br />

c�<br />

where P � load transmitted to or from the beam <strong>and</strong> A � bearing area. This stress<br />

should be less than the design value for compression perpendicular to the grain F c�

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