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https://www.thespruce.com/recommended-shelf-spans-and-spacing-1824823
Span in this instance means the distance between supports for the shelf. Span limits are based on the strength of the material—the stronger the material, the more space you can put between wall supports. You may still be able to store fairly heavy objects on shelving materials with a short span limit, but you will need to support the shelf ...Author: Bob Formisano
http://www.woodworkingtips.com/etips/etip01.html
Another factor used to determine maximum span is the total expected load -- the longer the shelf, the more books (and weight) it has to hold. A running foot of average sized books weighs about 20 pounds. So a three-foot shelf filled with average sized books would have to support 60 pounds.
https://www.popularwoodworking.com/projects/aw-extra-3614-stronger-shelves/
House a shelf to take advantage of the strength of a glued joint. The sides of a case hold a fixed shelf at a rigid right angle. Fasten a fixed shelf to the case’s back for even more rigidity. Fig. H. Multiply strength by adding a center support. The shelf can then hold up more than twice the weight of …Author: American Woodworker Editors
http://www.woodweb.com/knowledge_base/Span_Limits_for_Plywood_Shelving.html
The other option is to have a stile in the middle of the span and put shelf supports on the stile and the backs of the cabinet, effectively cutting the shelf in two. With the center support, it will be like having shorter shelves without the center plywood divider.
https://www.woodbin.com/calcs/sagulator/
The Sagulator helps you design shelves by calculating shelf sag (deflection) given type of shelf material, shelf load, load distribution, dimensions, and method of attachment. You can also specify an edging strip to further stiffen the shelf. See the notes below for usage tips.
http://www.woodweb.com/knowledge_base/Free_Span_Limits_of_Cabinet_Shelving.html
(Modulus of elasticity) (width) (thickness to the 3rd power). The load per inch of span is determined by the owner of the shelf; often the shelf is designed to carry a full load of books, which would typically be the heaviest load expected. The span is the distance between the supports.
https://www.thewoodwhisperer.com/articles/supporting-wide-shelves/
Will that be enough support for a 76″ long shelf?? Will I have problems with sagging??” The wider a shelf is, the more likely it is to sag. This can make an incredibly attractive bookcase look absolutely dreadful. Screwing the shelves into the back is a great start and will provide a significant amount of support along the length of the shelf.
https://diy.stackexchange.com/questions/29927/what-is-the-ideal-distance-between-supports-of-a-shelf
Alternatively, if you don't want to use wood bracing under the plywood, you might increase the number of supports so that the unsupported span is shorter. With a span of 30 CM the plywood can support about 35 KG. This would mean 3 supports for the 61 CM shelf, and 5 supports for the 122 CM shelf.
https://forums.jlconline.com/forums/forum/jlc-online-expert-forums/finish-carpentry/31584-mdf-shelving-limitations
May 09, 2007 · Re: MDF Shelving limitations A clear 59" span is difficult. There is no reason this has to be a clear span that long. a single line of shelf supports down the center, even if it's only attached to the back edge, cuts the shelf span. I have done shelves @ 72" x 10" deep. I just doubled up the plywood & used a 1 3/4" edge front & back. No sag.
https://www.dullesglassandmirror.com/glass-weight-load-calculator
For instance, a corner glass shelf for the shower will not need to support as much weight as a glass shelf for a desk or cabinet. The permissible load for glass depends on multiple factors such as the thickness of the glass, square footage of the glass, as well as the distance between shelf brackets or support systems.
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