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Unformatted text preview: Section 6.1 Solid Mechanics Part II Kelly 120 6.1 Plate Theory 6.1.1 Plates A plate is a flat structural element for which the thickness is small compared with the surface dimensions. The thickness is usually constant but may be variable and is measured normal to the middle surface of the plate, Fig. 6.1.1 Fig. 6.1.1: A plate 6.1.2 Plate Theory Plates subjected only to in-plane loading can be solved using two-dimensional plane stress theory 1 . On the other hand, plate theory is concerned mainly with lateral loading . One of the differences between plane stress and plate theory is that in the plate theory the stress components are allowed to vary through the thickness of the plate, so that there can be bending moments, Fig. 6.1.2. Fig. 6.1.2: Stress distribution through the thickness of a plate and resultant bending moment Plate Theory and Beam Theory Plate theory is an approximate theory; assumptions are made and the general three dimensional equations of elasticity are reduced. It is very like the beam theory only 1 although if the in-plane loads are compressive and sufficiently large, they can buckle (see 6.7) middle surface of plate lateral load M Section 6.1 Solid Mechanics Part II Kelly 121 with an extra dimension. It turns out to be an accurate theory provided...
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- Fall '11