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Eccentricity Normal to the Plane of the Faying Surface 1

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Here are my study slides for bracket bolts. Rut is usually the tensile force imposed on a single bolt in the worst cased scenario. Just make sure your algebra works out for however many columns of bolts you have. Case 2 gets presented in a few different ways throughout the literature.
 
 https://files.engineering.com/getfile.aspx?folder=9da1fb95-3145-426a-bb6f-eb6df67831a1&file=Bracket_Bolts.pdf
rut is the force in an individual bolt. The graphic is showing 2rut since there are two bolts at that height.
Bolt_Group_Out-of-Plane_cu6v3r.png


Equation 7-14 is actually pretty straight forward. The force for all of the bolt above the neutral axis is n'*rut and the force for all of the bolts below the neutral axis is n'*rut. These forces create a couple with a moment of n'*rut*dm which must equal the applied moment of Pu*e.

n' = number of bolts above the neutral axis​
rut = force in each bolt​
dm = moment arm between resultant tensile force and resultant compressive force​

n'*rut*dm = Pu*e​
rut = Pu*e / (n'*dm)​


Structural Engineering Software: Structural Engineering Videos:
 

Do you have other study slides that you would care to share? [ponder]

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