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Reaction factor for HSS inserts

Reaction factor for HSS inserts

Reaction factor for HSS inserts

(OP)
Anybody familiar with the full derivation of the Reaction Factor (Fr) calculation from the following:
Page 121 of the catalog, right side of page equation Fr=

Julius Blum Catalog 20

RE: Reaction factor for HSS inserts

It looks like they assume the insert is a cantilever beam with a deflection at the top of the insert equal to PL^3/3EI and equate it to the deflection of the railing post at the top of the insert. The deflection of the post at the top of the insert is (P/6EI)x(2L^3-3L^2X+X^3). Fr is a deflection ratio between the post and the insert, which is used to determine the governing load on the insert.

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