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Arch and Vault - Engineering Class Home Pages

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Wood arch design<br />

Assume:<br />

Three-hinge glue-lam arches at 16’<br />

Available dimensions: (¾” boards;<br />

3 1/8”, 5 1/8”, 6 3/4”, 8 3/4”, 10 3/4” wide).<br />

Based on case studies, use conservative<br />

allowable buckling stress: F c’= 200 psi<br />

Loads:<br />

LL = 12 psf (60% of 20 psf for trib. area>600 ft 2 )<br />

DL = 18 psf<br />

� = 30 psf<br />

<strong>Arch</strong> load w = 30 psf x16’/1000 w = 0.48 klf<br />

Reactions R = 0.48 x100’/2 R = 24 k<br />

Graphic Method<br />

• Draw equilibrium vector at support.<br />

starting with vertical reaction<br />

• Draw C & H vectors<br />

• Measure vector lengths:<br />

• C = max. arch force<br />

H = horizontal reaction<br />

<strong>Arch</strong> <strong>and</strong> vault structures Copyright Prof Schierle 2012 6

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