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27th September 2005, 07:49 AM #1
Destructive testing of Rietveld z-joints
In another thread I described making the 45° mitres used in the Rietveld z-chair. I decided to test these joints to desctruction. The pics show the results.
Ideally I would like to have used a force guage of some kind, but I don't have one. I thought about stacking weights on top and measuring the weight at the point of failure, but it was all too fiddly, so I just squished them in the vise. I started with the mitre (with no extra reinforcement) by putting it in the vise and measuring the opening. I then began to squeeze. Amazingly the wood flexed over their short lengths by 5 mm with no sign of joint failure (pics 1-3).
Then "crack!" the joint opened (pic 4). The mode of failure is that the outer half has pulled away (with failure of the glue and some wood failure), while the inner half has bent resulting in splitting along the wood grain. The inner half is clearly under compression.
After a bit more squeezing in the vise, the remaining part of the joint remains intact while the wood behind it flexes to failure.Those are my principles, and if you don't like them . . . well, I have others.
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27th September 2005, 07:54 AM #2
Pic 1-4 show the results of the destructive test of the mitre.
Pic 5 shows a photo of the test applied to the dovetail joint. The dovetail seemed to fail much easier than the mitre. There are two possible causes: (1) the stock was longer, so the vise had more leverage, and (2) the joints were not that well made.
I conclude that the mitre joint would be adequately strong for a z-style side table, possibly with a few mitre keys used for good measure. Along with the fact that they are easier to make than the 45° dovetails, I've decided to use the mitres.Those are my principles, and if you don't like them . . . well, I have others.
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27th September 2005, 08:00 AM #3Senior Member
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Are you working for Mythbusters?
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27th September 2005, 08:13 AM #4Originally Posted by RedgyThose are my principles, and if you don't like them . . . well, I have others.
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27th September 2005, 08:27 AM #5
Zenwood,
You didn't mention what glue you used, or what the wood was, although it looks like pine. I am sure that if uou use a suitable hardwood and epoxy glue with keys to reinforce the mitres, the table would be plenty strong enough to survive normal use.
Rocker
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27th September 2005, 08:33 AM #6
Whats a Rietveld z-chair look like Zenwood ? (is that a stupid question )
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27th September 2005, 09:43 AM #7
Be interesting to get some idea of the force employed to break the joint. It seems to me that a chair must take enormous strain. The length of the timber pieces in your experiment were relatively short. As I remember from Physics, the length of the 'lever' increases the force at the fulcrum exponientially. Hence the force you developed in the vice could easily be applied by a big fat sitter. Say he weighed 120 Kgs, and he sits on one side of the chair. Thats a force moment of 120Kgs at the end of a 400mm (or so) lever. Also he has increased kinetic energy as his bum is moving and must be arrested by the chair, so the maximum force that applies is at the moment the chair stops giving and trys to accelerate back its normal position. As I remember that about doubles the effective weight, hence we've got 240kg mass at the end of a 400mm lever. I thing there's a calculation for this, I'll try and find it.
Bodgy
"Is it not enough simply to be able to appreciate the beauty of the garden without it being necessary to believe that there are faeries at the bottom of it? " Douglas Adams
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27th September 2005, 10:45 AM #8Originally Posted by apricotripper
http://www.woodworkforums.ubeaut.com...ad.php?t=21837
CorbsIt's only a mistake if you don't learn from it.
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27th September 2005, 11:01 AM #9
I found a site that gives calculations on leverage.
http://www.engineersedge.com/calcula...e_levers_1.htm
Using this info, and its very rough as there are many variables, it seems that 120kg on a 400mm lever can exert in excess of 8 times its weight at the fulcrum. This is for static weights. Given the bum is descending and must be arrested then accelerated back to a point of equilibrium, that could double the force.
Rough estimation says the the force evident at the chair joint can easily (momentarily) exceed one tonne! Thats gotta be a tough joint.Bodgy
"Is it not enough simply to be able to appreciate the beauty of the garden without it being necessary to believe that there are faeries at the bottom of it? " Douglas Adams
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27th September 2005, 11:13 AM #10
Safety Factors.
Dead load 1.25
Live load 1.5
Impact load 2.0
Best to keep dead things off the chair - might stain it . Any lump descending will exert an effective load twice their real weight :eek: - hmmm.
CheersCheers
TEEJAY
There is a very fine line between "hobby" and "mental illness"
(Man was born to hunt and kill)
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27th September 2005, 11:29 AM #11Originally Posted by RockerThose are my principles, and if you don't like them . . . well, I have others.
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27th September 2005, 11:46 AM #12
Bodgy,
The chair will get a good work-out at the Bitingmidge gtg, when I shall be happy to let the heaviest person present sit on it and shift around in a normal fashion. I won't encourage anyone to jump up and down on it, though.
I am convinced that the bridle joint, reinforced by a screw, is quite strong enough to withstand normal use, but not, of course, gross abuse. I am trying to imagine how the joint would fail, if tested to destruction. I believe it would be necessary to exert a force strong enough to snap one of the 35 x 40 parts of the chair, since I believe the wood would fail before the joint did.
According to statistics quoted in Bootle's book, American white oak has a modulus of rupture of 105 MPa and a Janka hardness of 6.0 kN. The comparable numbers for jarrah are 112 and 8.5, and for hoop pine, 90 and 3.4. I would not want to make my chair out of a timber that had numbers lower than 100 MPa and 5 kN.
Rocker
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27th September 2005, 12:02 PM #13Originally Posted by zenwood
I would be wary of using PVA, which, as Mick has mentioned in another thread, is liable to creep. Since a joint in a zigzag chair or table is under considerable stress, creep might prove to be a problem. I believe it would be worth the extra expense of using epoxy for the joint.
Rocker
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27th September 2005, 12:12 PM #14Originally Posted by Rocker
The figures I quoted are certainly inaccurate due to the chair joint not really functioning as a true lever, and the flex in the wood mitigating the peak loads, but I still find it amazing how much force the average chair needs to withstand. As you say, the wood should split before the glue gives up.
I trust there will be no unfortunate injuries to what is a sensitive part of one's anatomyBodgy
"Is it not enough simply to be able to appreciate the beauty of the garden without it being necessary to believe that there are faeries at the bottom of it? " Douglas Adams
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27th September 2005, 05:22 PM #15Originally Posted by apricotripper
Rocker's z-chair was inspired (as is my z-table) from the zig-zag chair designed by Gerrit Rietveld in 1934
http://www.woodworkforums.ubeaut.com...0&postcount=37
Those are my principles, and if you don't like them . . . well, I have others.
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