Lh = distance between plastic hinge locations, in. (mm)
Lst = length of stiffener, as shown in Figure 6.5, in. (mm)
Mpr = probable maximum moment at plastic hinge, kip-in. (N-mm), given by Equation 2.4-1
Sh = distance from face of column to plastic hinge, in. (mm)
= the lesser of d/2 or 3bbf for an unstiffened connection (4E)
= Lst + tp for a stiffened connection (4ES, 8ES)
Vgravity = beam shear force resulting from 1.2D + f1L + 0.2S (where f1 is a load factor determined by the applicable building code for live loads, but not less than 0.5), kips (N)
Vu = shear force at end of beam, kips (N)
bbf = width of beam flange, in. (mm)
d = depth of connecting beam, in. (mm)
tp = thickness of end-plate, in. (mm)
BASICS
Ductile failure limit state (Yielding Limit State):
Non-ductile failure limit state (Rupture Limit State):
Plastic hinge length Sh is defined in the relevant application rules section for each joint type.
Plastic hinge moment values:
The Vu used in the dimensioning of the joint is determined according to the equation in the above image by summing the shear force determined on the basis of the yield state and the shear force calculated from the combination of 1.2G + 0.5Q + 0.2S on the plastic joint at the end of the beam.
Plastic joint length is specified separately for each joint in AISC 358-16 and automatic calculation is made in accordance with these rules. Details will be given in each respective combination.
PREQUALIFICATION LIMITS
