Phiplex
Planning to build a railing entirely of glass over a stretch of 5.3 m. Height 1.1 m.

Glass thickness 16 mm (2 x 8 mm laminated and thermally toughened heat-strengthened glass). The glass will simply be "placed" on top of the floor in a small U-channel. This U-channel itself provides no stability to the glass, other than keeping it in place.

At the top of the glass, there will be a handrail (U-shaped) made of steel or wood, which will be attached to the wall on both sides.

There will be two glass panels next to each other, each 2.65 m. But I do not want a post in the middle between the glasses. The only thing that will hold the glass in place will be the handrail on top.

How can one calculate the strength to ensure this will work? How large and strong do you think the (upside-down) U-shaped handrail needs to be to prevent the bending in the depth direction (i.e., the banana effect) from becoming too large when leaning against the glass and the handrail?
 
Phiplex
I have now found some more information and am renewing my call for help to calculate the deflection of the handrail for a balcony railing.

I am going to make an L-shaped all-glass railing with lengths of 5.3 m + 4.8 m. Glass 16 mm (2x8 laminated + tempered) height 1.1 m. The length of the glass panes is a maximum of 2.65 m, i.e., for the 5.3 m stretch, there will be 2 glued glass panes next to each other. The glass will stand on the floor in a small U-channel, which in itself does not provide any stability, everything will be held in place by an L-shaped steel handrail at the top of the glass.

I found a handrail from Q-railing (http://shop.q-railing.com/index.php?cPath=2654_2899_2680_2842) that is oval with a slot in the bottom for the glass. B=110 mm, H=40. The other information I received about this indicates A=438 mm2, Ix=7.05 cm4, Iy=44.27 cm4, Wy=8.04 cm3, ω=3.47 kg/m, σ=240 N/mm2.

The handrail will be mounted on the wall at both ends (i.e., at the extreme ends of the L that makes up the shape of the railing). Additionally, the two parts of the handrail are welded together in the middle of this L.

With this information, it should be possible to calculate the maximum deflection in the middle of each part of the railing, but I don't know how and need help from someone who can.

According to the balcony association's technical guidelines, the deflection may be a maximum of 30 mm if there is a characteristic (?) line load of 0.4 and, in some cases, 0.8 kN/m.

What formulas do I need to check that this withstands with the help of the information above?
 
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