By Howard G. Allen

ISBN-10: 008012870X

ISBN-13: 9780080128702

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Extra resources for Analysis and Design of Structural Sandwich Panels

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A s before, d represents the distance between the centroids o f the upper and lower faces. The second moment o f area o f the sandwich as a α d centroid , c Η r dt2 t,tt2 dt, t, + t2 F I G . 17. Dimensions of the cross-section of a sandwich with faces of unequal thickness. 19). 13b), for the core shear stress when the faces are thin, is unaltered. 8 are unchanged. 24a) remain the same. 39) is, o f course, no longer valid. 55) must 2 be used for / and If, and AG is again represented by bd G/c. 3.

A. 31). The total deflection, w, may therefore be expressed as a function of χ in the region AB. 24b) may be used to express the core shear stress r as a function o f χ in the same region. Furthermore, the maximum direct stress in the faces at any section is: c + 2t t 29 SANDWICH BEAMS D o u b l e differentiation o f e q u a t i o n s ( 2 . 3 0 ) a n d ( 2 . 3 1 ) yields and M2, a n d h e n c e

BB' * - Μ % Λ + ! 10). _Q lEftd Ecc*\ τ + 6 0) ( ^ - - θ [ ~ 2 ~ ~Ϊ~)· · Suppose now that the real core is replaced by a true antiplane core with a shear modulus G', different from G9 but that the correct value o f D is retained. The foregoing analysis may be repeated except that G is replaced by G' and 2sc vanishes. ') is exactly equivalent to the real core (G) as far as the analyses o f Chapter 2 are concerned. For these analyses deal only with the core-edge displacements ΑΑ', ΒΒ' and do not depend on the shape o f the 2 45 SANDWICH BEAMS distorted section A'CB'.

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Analysis and Design of Structural Sandwich Panels by Howard G. Allen


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