Monday, February 6, 2012

Rest of Example Problem ...

 ...

So, yeah, here is the rest of that example problem. 

Recall we found that to satisfy the Live load deflection criterion we needed EI = 320 million lb-sq.in. ... we got it with the TJI-110 14" EI = 392 million ... good! ... and the TJI 210 16" 629 million ... WAY GOOD!

( ... whoa, there isn't a 110 series joist in the 16")

The we checked Moment (`flexure') ...

area load = 40 psf Live + 45 psf Dead ... the Dead being 15 psf from framing and 30 psf for 3 in. lightweight conc.

w = area load x spacing = (40 + 45 psf) x 16/12 ft = 113.3 plf

M = 113.3 lb/ft (17 ft) squared / 8 = 4094 lb-ft ... NEEDED!!!

p. 3 of the brochure (http://www.woodbywy.com/literature/TJ-4000.pdf) ...

TJI 110 14" M = 3740 ... NOT GOOD!

TJI 210 14" M = 4490 ... OKAY!

TJI 16" 210 Series ... M = 5140 GOOD!  BABY!


 ... now ... SHEAR!!!

V = wL/2 = 113 lb/ft (17 ft) / 2 = 960 lb.

p. 3 of the brochure ...

TJI 210 14" ... V = 1945 lb ... GOOD!

TJI 210 16" ... V = 2190 lb ... GOOD!


So, the 210 Series works, in both the 14 in. and 16 in. depths.


BEARING ...

R = V = 960 lb

End ... p. 3 ... 14" 210 Series ... 1005 lb for 1-3/4 in. of bearing.

Assuming 2 x 6 walls that will have 5-1/2 in. top plates ... and that the rim will take up about 1-1/4 of the 5-1/2, leaving over 4 in. ... good!

We'd be good even if we dropped down to 2 x 4 framing ... 3.5 in. minus 1-1/4 gives 2-1/4 ... good.

FOR THE INTERMEDIATE BEARING - INT. BEARING WALL ...

 ... we'd probably have a 2 x 4 wall, at least ...

 ... if the joists end/start over the wall ... they need 1-3/4 in. each ... 2 x 1-3/4 = 3.5 ... perfect!

16" ... same ... good!


If the joists span continuously over the interior support ... we'll address that on another post! (or in class)


ANSWER: TJI 210 SERIES JOISTS IN EITHER 14 IN. OR 16 IN. DEPTHS ... WILL DO IT!

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