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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t<br />
d<br />
Static model<br />
<strong>Arch</strong>es are subject to axial stress <strong>and</strong> bending stress<br />
Therefore:<br />
• Em = Eo must be satisfied<br />
• Detail dimensions must be in geometric scale<br />
Force scale<br />
S f = P m/P o<br />
S f = S g 2<br />
Assume:<br />
E m = E o = 1,600,000 psi<br />
<strong>Arch</strong> size 5.125” x 37.5”<br />
Geometric scale S g = 1:25<br />
Force scale<br />
S f = S g 2 = 1/25 2 S f = 1:625<br />
Model arch size<br />
t = 5.125/25 t = 0.2”<br />
d = 37.5/25 d = 1.5”<br />
Load on original arch<br />
P o = 30 psf x 100’ x 16’ P o = 48,000 #<br />
P m = P o/S f = 48,000/625 P m = 76.8 #<br />
Use 24 cups at 76.8/24 P m= 3.2 #/cup<br />
<strong>Arch</strong> <strong>and</strong> vault structures Copyright Prof Schierle 2012 24
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