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The values and calculations for all intermediate equations leading to the calculation of Shearwall resistance Vrs from O86 11.6.2.2 for wood structural panels and 11.6.2.3 for gypsum wallboard (GWB) are output in the Detailed Shear Wall Design report. The symbols definitions, O86 references, and equations are reproduced here, and are explained more fully in the subtopics to this topic.
Symbols
Units shown in:
Symbol Description Equation Table Reference
Vr Factored shear resistance of shearwall kN kips 11.6.2.1
Vrs Factored shear resistance of shearwall segment kN kips 11.6.2.2,3
Vhd Factored shear resistance without Jhd kN kips 11.5.5.3,4
Jhd Hold-down effect factor 11.5.5
Ls,L Shearwall segment length m ft 11.6.2.2
Hs Shearwall height m ft 11.5.5.3
phi Safety factor 11.6.2.2,3
vd Panel shear strength per unit length kN/m plf 11.6.2.2(a)
vd Gypsum WB shear strength per unit length kN/m plf Tbl 11.4
ns Number of shear planes 11.6.2.2(a)
JD Factor for diaphragm construction 12.9.3.1
Jus Unblocked shearwall factor 11.5.4
Jus Unblocked shearwall factor 11.5.4
s Fastener spacing along panel edge mm in 11.6.2.2(a)
dF Nail diameter mm mm 12.9.3.2
Pen Nail penetration into wall stud mm in 12.9.2.2
Nu Factored unit lateral nail strength N kips 12.9.3.1
nu Unit lateral nail strength N kips 12.9.3.1
a..g Yield modes for nail strength (* - governing yield mode) 12.9.3.2
f1 Wood embedment strength MPa 12.9.3.2
G Specific gravity of framing material 12.9.3.2
Crit Critical mode (for wood sheathing only) 11.8.1
KD Load duration factor 5.3.2
KSF Service condition factor for nail 12.2.1.7.2
KS Service condition factor for panel bending 9.4.2
KTn Treatment factor for nail in stud 5.3.4
KTp Treatment factor for panel bending 9.4.3
vpb Buckling strength of critical panel in segment kN/m plf 11.6.2.2(b)
Kpb Panel buckling factor 11.6.2.2(b)
t Panel thickness mm ft 11.6.2.2(b)
a Larger dimension of critical panel mm ft 11.6.2.2(b)
b Smaller dimension of critical panel mm ft 11.6.2.2(b)
Ba0 Panel axial strength, 0 deg orientation N/mm kips/in Tbl 9.1-9.3
Ba90 Panel axial strength, 90 deg orientation N/mm kips/in Tbl 9.1-9.3
Bv Panel shear-through-thickness rigidity N/mm kips/in Tbl 9.1-9.3
alpha Parameter in panel bucking equation 11.6.2.2(b)
eta Parameter in panel bucking equation 11.6.2.2(b)
Pij,P Factored uplift restraint force kN kips 11.5.5.3,4
Equations
Equation Reference
Vrs (wood) = min (Vrs(nailing), Vrs(panel buckling)) 11.6.2.1
Vrs (gypsum) = phi vd Jhd Ls 11.6.2.3
Vrs (nailing) = phi vd JD ns Jus Js Jhd Ls 11.6.2.2(a)
Vrs (panel buckling) = phi vpb KD KT Ls 11.6.2.2(b)
Vhd = Vrs/Jhd 11.5.5.3
Jhd = ((1 + 2Pij/Vhd +(Hs/Ls)^2)^0.5 – Hs/Ls <= 1.0 11.5.5.3
Jhd (hold-downs at bottom) = (Vhd + P)/Vhd <= 1.0 11.5.5.4
vd = Nu/s 11.6.2.2(a)
Nu = nu KD KSF ST 12.9.3.1
nu = min (a..g) 12.9.3.2
f1 = 104G (1 - 0.1dF) 12.9.3.2
Js = ((150 – s/150)^4.2, s < 150; = 1.0, s >= 150 11.5.1
vpb = Kpb (pi t)^2/3000b (Ba0 Ba90^3)^0.25 11.6.2.2(b)
Kpb = 1.7(eta+1)exp(-alpha/(0.05eta + 0.75)) + 0.5eta + 0.8 11.6.2.2(b)
alpha = a/b (Ba90/Ba0)^0.25 11.6.2.2(b)
eta = 2Bv/(Ba0 Ba90)^0.5 11.6.2.2(b)