FITTING PIPE INTO   OPEN-WEB JOISTS
GIVEN
d pipe diameter      
in  
L joist spacing (center to center)       ft  
D total depth of the joist       in  
W width of the chord of the joist       in  
h height of the chord of the joist       in  
l total cut length of the pipe   (Optional)   ft  
 
PIPE RISE CONCEPT
g length of opening (gap) between joists   g = L - (W / 12)   ft  
     
r slope of the pipe as it slips past joist   r = (d + h) / g   in / ft  
     
∆d total rise of the pipe above bottom of joist, when slipping past joist   Δd = l x r   in  
     
∆o available height for pipe to slip inside of top chord   Δo = D - h   in  
     
lm maximum length of pipe given joist parameters lm ≤ (D - h) (L - W/12) / (d + h) ft  
SIMPLIFIED FORMULA
lm maximum length of pipe given joist parameters lm ≤ (D2/3 + g2/3)3/2 ft  
ED MILLER AFSA FORMULA
lm maximum length of pipe given joist parameters lm ≤ (D / 6) x L ft  
                   
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