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Building Design and Construction Handbook - Merritt - Ventech!

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WOOD CONSTRUCTION 10.21<br />

structural glued-laminated timber pressure treated with fire-retardant chemicals<br />

should be obtained from the company providing the treatment <strong>and</strong> redrying service.<br />

Load duration factors greater than 1.6 (Table 10.5) should not be applied to structural<br />

members pressure-treated with fire-retardant chemicals.<br />

10.7 DESIGN PROVISIONS FOR FLEXURAL<br />

MEMBERS<br />

<strong>Design</strong> of flexural members requires consideration primarily of bending <strong>and</strong> shear<br />

strength, deflection, <strong>and</strong> end bearing.<br />

10.7.1 Strength of Flexural Members<br />

The stress induced in a beam (or other flexural member) when subjected to design<br />

loads should not exceed the strength of the member. The maximum bending stress<br />

ƒ b at any section of a beam is given by the flexural formula<br />

ƒ � M/S (10.14)<br />

b<br />

where M is the bending moment <strong>and</strong> S the section modulus. For a rectangular beam,<br />

the section modulus is bd 2 /6 <strong>and</strong> Eq. (10.14) transforms into<br />

2<br />

ƒb � 6M/bd (10.15)<br />

where b is the beam width <strong>and</strong> d the depth. At every section of the beam, ƒ b should<br />

be equal to or less than the design value for bending F b adjusted for all end-use<br />

modification factors (Art. 10.5).<br />

Shear stress induced by design loads in a member should not exceed the allowable<br />

design value for shear F V. For wood beams, the shear parallel to the grain,<br />

that is, the horizontal shear, controls the design for shear. Checking the shear stress<br />

perpendicular to the grain is not necessary inasmuch as the vertical shear will never<br />

be a primary failure mode.<br />

The maximum horizontal shear stress ƒ V in a rectangular wood beam is given<br />

by<br />

ƒ � 3V/2bd (10.16)<br />

V<br />

where V is the vertical shear. In calculation of V for a beam, all loads occurring<br />

within a distance d from the supports may be ignored. This is based on the assumption<br />

that loads causing the shear will be transmitted at a 45� angle through<br />

the beam to the supports.<br />

(K. F. Faherty <strong>and</strong> T. G. Williamson, ‘‘Wood Engineering <strong>and</strong> <strong>Construction</strong><br />

H<strong>and</strong>book.’’ McGraw-Hill Publishing Company, New York.)<br />

10.7.2 Beam Stability<br />

Beams may require lateral support to prevent lateral buckling. Need for such bracing<br />

depends on the unsupported length <strong>and</strong> cross-sectional dimensions of the members.<br />

When buckling occurs, a member deflects in the direction of its least dimension b.<br />

In a beam, b usually is taken as the width. If bracing precludes buckling in that

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