CIVIL ENGINEERING FORMULAS

BUILDING AND STRUCTURES FORMULAS 215

planeAAin Fig. 9.2, exceed Fv, that is, when Fis larger than dctwFv, where dc
is the depth and twis the web thickness of the member resisting F. The shear
may be calculated from

(9.30)

where Vsshear on the section
M 1 M 1 LM 1 G
M 1 Lmoment due to the gravity load on the leewardside of the connection
M 1 Gmoment due to the lateral load on the leeward side of the connection
M 2 M 2 LM 2 G
M 2 Lmoment due to the lateral load on the windward side of the
connection
M 2 Gmoment due to the gravity load on the windward side of the
connection

STRESSES IN THIN SHELLS

Results of membrane and bending theories are expressed in terms of unit forces
and unit moments, acting per unit of length over the thickness of the shell. To
compute the unit stresses from these forces and moments, usual practice is to

F

M 1

0.95d 1



M 2

0.95d 2

Vs

Lower-story shear

M 2

M 1

d 2

A

dc

d 1

ΣF

A

Upper-story shear, Vs

FIGURE 9.2 Rigid connection of steel members with webs

in a common plane.