Arch and Vault - Engineering Class Home Pages
Arch and Vault - Engineering Class Home Pages
Arch and Vault - Engineering Class Home Pages
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A = �r 2 r 2 =A/� �= 2r =2(A/�) 1/2<br />
Max arch compression (from last slide) C = 103 k<br />
Check allowable buckling stress<br />
Radius of gyration<br />
r = (� 2 + �i 2 ) 1/2 /4 = (16 2 + 15 2 ) 1/2 /4 r = 5.48”<br />
Unbraced length (between str<strong>and</strong>s)<br />
KL = 1.1 x164 / 7 KL = 26’<br />
Slenderness ratio<br />
KL/r = 26’ x 12” / 5.48” KL/r = 57<br />
Allowable buckling stress (AISC table) F a=23 ksi<br />
<strong>Arch</strong> cross section<br />
A =�(� 2 -�i 2 )/4= �(16 2 -15.5 2 )/4 A = 12 in 2<br />
Max. arch stress<br />
fa= C/A= 103 / 12<br />
Check fa≤ Fa Max str<strong>and</strong> force<br />
fa = 8.6 ksi<br />
8.6
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