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double wood beam - shear control?
4

double wood beam - shear control?

double wood beam - shear control?

(OP)
Hi, maybe that is a silly question but its not my area...

Lets say we have a roof wood beam (element 1), but its not sufficient on its own (shear forces too big) so we add another wood beam (same material) on top of it (element 2).

Can I consider this now as one element when making control for shear forces? Does there have to be connection?

I know it has to be connected when dealing with bending (shear flow between elements so we need bolts or other connectors) but what if I know that element 1 is Ok as far as bending goes on its own? Because of that i really want to avoid calculating shear flow and bolts and calculating effective moment of inertia Ieff - because of a slipping between elements, etc.(according to eurocode 5).





BTW i have to connect elements somehow so bolts should be OK?


RE: double wood beam - shear control?

You would need to connect them in order to develop the shear flow across the joint. If you do not, I would assume each beam only takes the load relative to its own stiffness (i.e. not composite). If the existing loading is not removed prior to placement of new beam, new beam would only assist in taking any additional load. Shear force would be dependent on loading taken by each member.

RE: double wood beam - shear control?

(OP)
I know i have to have connection so the horizontal shear flow between elements can develop.
But im wondering about vertical shear forces that act on beams around supports.
BTW there is no loading on element 1. the load will be applied after adding element 2.
Do you think connecting elements with vertical bolts alone is OK?

RE: double wood beam - shear control?

For what you describe, no connection would be required to develop the shear force.

I would still stitch them together nominally though considering seismic forces.

Mike McCann, PE, SE (WA)


RE: double wood beam - shear control?

In order to develop the combined section in shear, you must develop the combined section in bending. If bolts can develop the full horizontal shear on the interface, the beam acts compositely and shear at supports can be calculated based on a section 20 by 42.

If bolts can develop zero horizontal shear on the interface, Member 2 will carry 1/8 of the load that Member 1 carries, so the shear stress in Member 1 when acting alone will be reduced by a factor of approximately 8/9.

BA

RE: double wood beam - shear control?

(OP)
Tnx for answers!

BAretired, how did you get this values: "If bolts can develop zero horizontal shear on the interface, Member 2 will carry 1/8 of the load that Member 1 carries, so the shear stress in Member 1 when acting alone will be reduced by a factor of approximately 8/9."

RE: double wood beam - shear control?

You would distribute the load based on member stiffness. Ignoring shear deformations and assuming same material this becomes distributing based on their moment of inertias or in this case the cube of the member depth.
14^3 = 2744
28^3 = 21952

Therefore 14 cm beam takes 2744/(2744 + 21952) = 1/9 of total load.

RE: double wood beam - shear control?

Is the load vertical or horizontal? How does the load come to the beam/ how is it tied in at the ends?

As pointed out, #2 may do little, or, depending on how it's loaded and supported, it may do nothing.

It's probably not too difficult to get them to act compositely, and the stiffness in triples in comparison to the non-composite version.

RE: double wood beam - shear control?

What is the lenght of the beam? material?

RE: double wood beam - shear control?

(OP)
It is simply supported beam with vertical point loads from rafters.
Maximum vertical shear is 40 kN at supports.
Timber is C16.
Lenght of the beam is cca 500 cm.

RE: double wood beam - shear control?

Is this an existing condition? How are you adding another beam on top in this instance?

It would probably be much easier to bolt beams on the side.

I'm personally suspect of the composite beam condition. Some degree of bolt slip would be expected as the bolt holes would be oversized slightly. I'm not sure if that slip would be enough to interfer with the composite action. My preference would be to bolt new beams to the side of this one or if it is new construction to replace with a new full depth beam.

RE: double wood beam - shear control?

I don't love this strategy.

In terms of mechanics of materials, you're good to go. The upper member will even take a bit more load than the stiffness ratio predicts because the upper member will be bent to a tighter curvature than than the lower member.

My concern is the details of how the shear in the upper member will make it to bearing. It seems to me that shear would have to pass through the lower member. If that takes place within 28 cm of the support, it's probably fine. If not, then you may not have actually reduced the maximum shear in the lower member as much as you think, or even at all. So I guess it comes down this: how confident are you that the upper member dumps it's shear near the low beam support? For me, the answer would be not very

I'll concede that, because wood shear failure is dominated by horizontal shear concerns, this is not as serious of a thing as it might be with, say, a concrete beam.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.

RE: double wood beam - shear control?

If the reactions are 40 kN then the total load on the beam is 80 kN.
If the span is 5 m the maximum moment is 50 kN-m

I'm not familiar with the properties of C16 Timber but I suspect that the 200 x 280 beam is overstressed in both bending and shear. Also note that the maximum shear stress in a rectangular timber beam is 3V/2A.

M = 50 kN-m. S = 200(280)2/6 = 2.61e6 mm3 Fb = M/S = 19.2 N/mm2

V = 40 kN. A = 200*280 = 56,000 mm2 v = 3V/2A = 40000/56000*3/2 = 1.07 N/mm2

These values appear too high for a timber beam.

I can't say I am enthusiastic about using bolts in the proposed manner. Perhaps another solution should be considered.

BA

RE: double wood beam - shear control?

(OP)
The load is not applied yet.
Problem is that contractors already has element 1: 20/28 cm but its not suffiecient material. They want to keep this element and add another on top of it (element 2).

The actual model is like this:



i was thinking something like this:

RE: double wood beam - shear control?

Can you put anoher element from the side where it is overstressed? You can glue and screw plywood on both sides of the beam.

RE: double wood beam - shear control?

(OP)
Unfortunately I cant. Agreement was double wood beam and bolts only.

RE: double wood beam - shear control?

In that case, you need to determine the number and spacing of bolts required to resist the horizontal shear on the interface of the two beam elements.

BA

RE: double wood beam - shear control?

I'd definitely, prefer to see the beam replaced with a full-height beam, but if that is not possible, I would do as BAretired mentioned. To be honest, I'm shocked that the beam is shear controlled based on the span in the photo. I would expect it to be deflection or bending moment governed.

To account for the bolt slip and likelihood that not all of the bolts will be engaged at the same time for the composite action (due to bolt slip in the wood members), I would personally 2x-3x the # of bolts required. I suspect you'll find the bolt requirement is not very large for the composite action so I don't think this should be hugely problematic.

RE: double wood beam - shear control?

Shrinkage of the wood will also introduce some slip in the connection. It's likely that the bolts will not be tight over time as a result.

RE: double wood beam - shear control?

If aesthetics is not important, you may be better off using LTP clips or something else attached from the side. I think these would be more tolerant to wood shrinkage as it would allow the wood to shrink still outside of the connection. Full-height through bolts don't really give the wood anywhere to go.

RE: double wood beam - shear control?

Mats12:
It never ceases to amaze me how you OP’ers. dribble out important structural info. during the first 19 or 20 posts (responders guessing at what you are really doing), while we try to drag the info. out of you. Maybe your ‘Agreement about double wood beam and bolts only,’ should have included the ‘silly’ proviso that it, and the who structure work, actually work structurally; a small detail that the contractor might miss in asking you to save his a$$. You might also consider involving a local Structural Engineer, if this is ‘not your area.’ What happens in the other elevation or in plan, is still an important structural consideration, and is also still a mystery.

I would start with well seasoned timbers (kiln dried) to minimize shrinkage. I would use some of the newer structural screws, one brand or another, instead of through bolts and structural glue in the joint to minimize the joint slippage and max. the shear transfer. You could put a couple split rings in the joints at each end of each beam to improve shear transfer and composite action. You might wish that you didn’t have hinges at the joist/beam bearing plane, and at the beam/column bearing elevation, and you should do something about this. Given what we’ve heard so far, your many 45̊ kickers will probably be very difficult to do well with wood. You might consider pre-fabed steel kickers that through bolt at the column and screw up into the beam. These would be 24-36" long, 6" wide by .25" thk., with a welded 2x2 HSS diags., black wrought iron in appearance. These can be made with some degree of precision and the connections can be made with some degree of confidence. Note also, that with the use of the kickers, you have to hold the beam ends down to the top of the columns for things to work properly. Thus, I would add some “T” straps btwn. the two beams and each column; this holds the beams together lengthwise and holds them down on the column. Finally, I would put the added beam member on the underside of the larger beam member, and make it only 5m, less a full column width long, to fit btwn. the columns. It would bear on the kickers, which are pressed up tightly to its underside before they are attached to the column by through bolting. I would set the beams on a 1/16" shim atop the column (some engineering judgement and thought is needed here). Once the kickers are attached, I’d pull the shims, press the upper beam down onto the column and fix the “T” straps in place.

While this may seem a little fussy, remember, you are working to save the contractor’s ‘bull,’ and he should now make an effort to make the whole thing work right now.

RE: double wood beam - shear control?

The difficulty is going to be getting enough capacity on the bolts to resist the horizontal shear. I don't believe it can be done even with 4" dia. shear plates and 7/8" dia. bolts at minimum spacing.

It appears to me that the contractor may have to accept a compromise.

BA

RE: double wood beam - shear control?

BA:
I haven’t run any numbers, as you were so kind to do for us, for lack of OP’er. basic structural info., so I’m not absolutely sure how it would shake out either. I was not intending that the end shear pls. would take all of the horiz. shear. They would just take the higher shear flow at the ends, where the alternative would be 10-12? structural screws in 16-24". They would also provide some protection against the horiz. shear/notch affect/reentrant notch at the end bearings. I would still space struct. screws over the length of the beams to take most of the horiz. shear in a more distributed fashion along the beam, and to clamp the two parts together. I suspect the struct. glue/adhesive would do the trick over the middle half of the beam, as long as it is protected from environmental conditions, and the codes would allow us to start using struct. adhesives. I like the struct. screws from below because they are protected from water standing atop the beam. We don’t know what the roof protection is, do we? My intention for the 1/16" shim atop the column, then its removal and pressing the beam down, is to really seat the lower beam bearing on the horiz. leg of the kicker to assure some distrib. of the vert. reactions, btwn. the kicker and the column top.

RE: double wood beam - shear control?

(OP)
i made some calcualtion based on eurocode 5.

if this is right, it means that bolts dont contribute much!
gama = 1,0 means complete 100% connection between elements
gama = 0,0 means there is no connection

for bolts M14 (8.8) at 50 cm spacing I got gama = 0,023 which is almost zero, but enough for controls to be OK...

Bolts alone are pretty ineffective because they dont produce enough resistance for shear flow development... if i choose smaller spacings its still pretty ineffective.







RE: double wood beam - shear control?

mats12,

You started out with 5 m simply supported beams. Your shear force diagram seems to be taking into account some form of continuity, but it is not clear which spans are loaded and which are not. In order to analyze the structure, you would need to know the stiffness of the columns. I don't believe your shear diagram is accurate.

It might be prudent to retain a structural engineer to analyze the structure properly and to make recommendations to the contractor.

BA

RE: double wood beam - shear control?

dhengr,
I haven't used structural screws to any extent but would have to penetrate 140 mm (5.5") before becoming effective so the screws would probably by nearly 12" long. Would that be efficient? Would lag screws be more economical?

I like the idea of using structural adhesive, but I'm not sure it would be effective in an exterior exposure. My knowledge of adhesives is not current.

As for the kickers, I don't think they help much in the case of gravity loads, particularly if there is pattern loading but that would have to be analyzed.

BA

RE: double wood beam - shear control?

Given all the information presented so far, I feel that the non composite stacked solution is a clever and appropriate solution. Install vertical bolts with washer plates designed not for horizontal shear but, rather, to ensure the distribution of vertical shear between plies. This should be doable and would take care of the issue that I mentioned above.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.

RE: double wood beam - shear control?

I'd be inclined to halve the new timber the hard way, and glue the halves to top and bottom of the extant timber.

I've had good results with Gorilla Glue; is that approved anywhere?

Secure the top and bottom caps with a crapload of screws while the glue cures; that way the screws 'only' need a grip length of 7cm.

Mike Halloran
Pembroke Pines, FL, USA

RE: double wood beam - shear control?

I guess vertical bolts still have the shrinkage problem no matter what use they're put to. Pesky shrinkage.

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.

RE: double wood beam - shear control?

(OP)
There is a shear force diagram and bending moment diagram for the whole thing for those who are confused by picture posted above:





RE: double wood beam - shear control?

Timber grade C16 is really bad. How did you come up with it?

RE: double wood beam - shear control?

(OP)
I didnt!
They say thats the timber grade they have - investor has his own woods so he prepered own beams.
Usually I choose C24.

RE: double wood beam - shear control?

Will the structure as shown be exposed to the weather?

Epoxy and split ring connectors.
http://www.awc.org/pdf/codes-standards/publication...

Plus a bunch of bolts.

If there is no flashing cap on the top surface, lag screws from the bottom so the top surface remains intact.

RE: double wood beam - shear control?

mats12,
Your bending moment and shear diagrams are wrong. It appears to me that you have entered the wrong support conditions into your program.

BA

RE: double wood beam - shear control?

(OP)
BAretired - I dont understand. What is wrong!? I think diagrams are pretty expected? Please elaborate!
I used pinned supports for timber columns (vertical and horizontal support + free rotation)

RE: double wood beam - shear control?

Based on the moment diagram, I'm seeing a beam splice at each post and posts that don't introduce much rotational stiffness (end span diagrams).

I like to debate structural engineering theory -- a lot. If I challenge you on something, know that I'm doing so because I respect your opinion enough to either change it or adopt it.

RE: double wood beam - shear control?

You appear to be treating the upper ends of the knee braces as hinged supports. They are hinged, but they are not hinged supports, i.e. the hinge can move vertically. When it does, it causes compression in the knee brace and moment in the column. With your shear diagram, the moment in the end columns would be very large.

What load are you assuming in your design? Are you considering the possibility of unbalanced live (snow) load?

BA

RE: double wood beam - shear control?

(OP)
I think my supports are OK. In previous picture I show forces for beams ONLY.

Here are diagrams for all forces including columns. Also deflection diagram.

I think my model is alright. And yes, snow is considered.

RE: double wood beam - shear control?

I apologize. You appear to have considered the knee braces correctly in your analysis. The end columns have a moment of 10 or 11 kN-m which will require a fairly stocky section.

BA

RE: double wood beam - shear control?

Hello, this is my first post here. If you want to add an additional beam on the top, I'd do that but instead of installing bolts vertically I would install them on an angle, see attached sketch.. I think that would take the shear stresses.. I am not much experienced so it's just a suggestion.



RE: double wood beam - shear control?

Heldbaum, that is what I would do with self-tapping screws - full thread. Besides gluing that is the most rigid connection, because you rely on screws in tension and not shear.

Also you could do this (tension+compression): Picture

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