Glad to be able to be of some help.
OK, let's take things to the next level.
Review discussions on how buckling works- and how bracing to reduce "effective length" increases buckling strength. That's what your x-braces between compression members are doing, in the X-plane. The effective length with 10, 4cm bracing intervals is 4cm; 1/10th the total length. The buckling strength of each of those 4cm sections is 100 (10 squared) times the buckling strength of the (un-braced) full 40cm member. With the bracing, you've created a "stacked column" with the buckling strength of each of the braced sections. That's in the X-plane.
So, looking at the
X-plane buckling strength:
Depending on the density of the wood you're using, you may be... over-bracing. You can check that with the "scale test" I've described before. Take a 40cm piece- put it vertically on a scale; push down, note the weight at which buckling starts. Using the inverse square relationship in Euler's buckling equation, figure out bracing interval needed. With 2 compression members, each needs to carry about 20kg. Let's say the 40cm piece buckles (in the X-direction - the short (3/16ths) cross-section) at 1kg. That means if braced at the mid-point-half way; L/2, buckling strength goes to 4 (2 squared); braced at 1/3 intervals (13.33cm), buckling strength goes to 9kg (3 squared). Braced at 1/4 intervals (10cm), buckling strength goes to 16kg; at 1/5th intervals (8cm) goes to 25kg. Also, depending on the separation between compression members, and the density of your 1/8th x-bracing pieces, you may be suing too much wood. You could try, instead of single 1/8th (between, or on top of, or on the bottom), pairs of 1/16th braces. At the same density, 1/2 the weight; at say 50% higher density, 75% of the weight.
As I've said before, Y-plane bracing is more problematic. Running braces between the tension members and the compression members is neither very effective, nor (weight) efficient. Experience suggests the best way to increase Y-plane stiffness - buckling strength is to increase the Y-plane stiffness-the Y-plane buckling strength of the compression member itself. From Euler's equation, that stiffness (buckling strength) is a function of E x I. I is the cross-sectional moment- for simplicity, the cross-sectional dimension. E (the modulus of elasticity) is the ...inherent stiffness. It is a function of density; (roughly), double the density, you double E.
Increasing the Y-dimension at the same density increases mass. Increasing density increases mass. Increase both density and cross section, mass increase is multiplicative. Say you double the Y dimension (x2)- mass doubles. Double the density (x2), mass doubles. Double both the Y-dimension and the density, and the mass quadruples (x4), Same relationships apply to E x I - the buckling strength coming from cross section and density; double cross section dimension, double I; double density, double E; double both, and E x I quadruples.
Experience suggests that for 1/4 inch cross-section, to get a buckling strength on the order of 20kg, you'd have to go to very high density- as in HEAVY. If you were to go that way, note that X-plane stiffness/buckling strength would go up, too, increasing the bracing interval (effective length) needed-reducing the amount of X-plane bracing. So, is there a more weight-efficient way to get to the stiffness needed, than using a heavier, solid member? Turns out, there is.
First, a couple of things to study/play with, and understand:
http://www.explorelifeonearth.org/curso ... 0Euler.pdf
http://paws.wcu.edu/radams/intro_to_beam_theory.pdf
The take-away from this information is this. The wood near the (long) axis is contributing little to the (buckling) strength/stiffness; that strength is mostly coming from the wood out at the edges.. By going to a hollow - box-beam - construction, you can get greater buckling strength, at less weight, than a solid member. It is, I would argue, a better- a more weight-efficient way than trying to get more Y-plane stiffness with external (T-member to C-member) bracing.
For instance- looking at your current 3/16 x 1/4. Looking at the cross section area, you have12- 1/16th " squares. If you were to try a box- with top and bottom strips 1/8th wide x 1/16th thick, and side strips/plates 1/32nd" thick x 3/8ths wide, with the side plates glued to the edges of the top & and bottom strips, you end up with a box 3/16th" wide, by 3/8th" tall (same X-dimension, 33% longer Y-dimension. The cross section area of the wood is down to 10 1/16th squares- assuming the same density wood, add in glue weight- about the same weight as the solid , with more than 1/3 greater stiffness in the Y-plane (the glue planes, with E >> that of the wood, add to the stiffness). Say double the density of the 1/32nd plates - increases weight (160%), but Y-plane E (hence E x I -stiffness) doubles.....
A place & some concepts to start from, and play with.....