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re: supporting loads (was re: 2x4 joists)
16 oct 1996
paul valentine  wrote:
 
>>why do people want to square the length in bending moment calculations?
 
>the length is squared in the bending moment formula if the load is
>input in load per unit length along the beam. if the total load on the
>beam is used then the length is not squared.

makes sense to me.

now, i wonder how much weight a 12' beam like this will hold up?

     www s www s www
 --> www s www s www  <--3 1/2" drywall screws
     www s www s www
     www s www s www
 --> www s www s www  <--
     www s www s www
               ^  ^
               |  | __ 2x4
               |__ 1/16" steel, or perhaps a u-shaped piece of chicken wire,   
                                hardware cloth, stucco mesh, etc...

harry parker's _simplified design of structural timber_, 2nd edition,
gives this procedure on pages 233-235:

1. assume fs = 20k psi for the steel and fw = 1200 psi for the wood.
2. find the section modulus of the wood sw = bh^2/6 = 9.1875 in^3.
3. find the section modulus of the steel ss = 0.255 in^3.
4. find the distributed load that the wood will carry.
   m = wl/8 = 18 in-lb = fwsw, so w = 413 lb. 
5. find the distributed load that the steel will carry.
   m = wl/8 = 18 in-lb = fsss, so w = 284 lb. 
6. add the 2 loads to find the 697 lb max load the flitched beam will carry.
   
perhaps 2 such collar beams could hold up 2 55 gallon drums full of water,
with a redundant u shaped rope sling around the rafters, and some glazing
to the south, and insulation overhead, and some foil underneath, using a
few stud cavities for the supply airpath, to make a gravity-feed solar
water heater like this:
                                
                      ........                        .
                      drums                     . drum drum .
polyethylene       .g b  b                 .    .collar beam.    .
film sunspace --> . g foil                 .    . solar air .    .
	         .  g     polycarbonate    .    .   heater  .    .
                .   g <-- single glazing   .    .           .    .
            .....................      ..............................

nick




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