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

By Howard G. Allen

ISBN-10: 008012870X

ISBN-13: 9780080128702

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57) may be combined and integrated to yield an expression for u: " - ^ { ^ ( τ - τ ) } · <"» There is no constant o f integration because u and ζ vanish simultaneously. The displacements AA' and BB' are obtained by writing ζ = ±c/2. 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.

15. Beam bent in the shape of an arc of a circle. I f this same procedure is applied to the region AB o f the sandwich beam o f Fig. 51). The fractional error in 1 jEI is therefore 1/(Εί)'-1/ΕΙ —f/gf EI = W . " aLb \ 1 2β3 = W 1 —cosh ax 2 2 ax I,. 7> (1 . 54) This equation may be used to estimate the error which is likely to occur in the measurement o f 1 /EI in any particular experiment. 40 ANALYSIS OF STRUCTURAL SANDWICH PANELS If the error is small, the fractional errors in 1 /EI and EI are similar but not identical.

1. 1) In this expression D is the flexural rigidity. Strictly, PE represents the smallest thrust at which the strut will not return to its straight condition after being given some lateral displacement. In the case o f a sandwich strut it is possible for shear deformations to occur in the core. 1). Consider a sandwich with an antiplane core and thin faces, the local bending stiffness of which can be ignored. The flexural rigidity is therefore given by: D = Di = Efbtfflß. 2) When the strut bends the shear stress distribution is similar to that in Fig.

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


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