Introduction to Aircraft Structural Analysis (Elsevier Aerospace Engineering)

220 CHAPTER 7 Bending of Thin Plates

Fig.7.1

Plate subjected to pure bending.

Fig.7.2

(a) Direct stress on lamina of plate element; (b) radii of curvature of neutral plane.

σxandσyofanelementallaminaofthicknessδzadistancezbelowtheneutralplanearegivenby

εx=

z

ρx

εy=

z

ρy

(7.1)

ReferringtoEqs.(1.52),wehave

εx=

1

E

(σx−νσy)εy=

1

E

(σy−νσx) (7.2)