Howard G. Allen's Analysis and Design of Structural Sandwich Panels PDF

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By Howard G. Allen

ISBN-10: 008012870X

ISBN-13: 9780080128702

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A face may also undergo purely extensional deformation when it is subjected to a uniform tensile or compressive stress. When the sandwich bends as a whole (as in Fig. 5b) the faces partake of both kinds of deformation. 2). In addition to this, however, the local bending stiffness o f the faces has an effect on the shear deformation of the core. In Fig. 5c it is clear that if the faces and the core are to remain in contact, the faces are being called upon to bend to an infinite curvature at the centre o f the beam.

12); the core is no longer antiplane. 18 shows an elevation o f a short length o f sandwich beam, undergoing shear deformation o f the core. The plane section AC Β has distorted into the curve A'CB\ the typical point Ρ having moved a distance u to the right. The shear strain γ at F I G . 18. Shear deformation of sandwich beam with stiff core. 44 ANALYSIS OF STRUCTURAL SANDWICH PANELS Ρ is therefore du/dz and the shear stress is du r = G^-. 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.

QL/2 (a) (b) F I G . 12. (a) Beam with uniformly distributed load, (b) Righthand half of the beam. In the part AB, with χ measured from A, the shear force is — qx. 27) with this value allocated to Q is — ô i = C i cosh αχ Λ-Ci sinh ax+qx. 40) By successive integration, EIw! = 6 a sinh ax+^~ 6 cosh ax + — a 24 2 C 3 x - h C 4 x + C 5 . 40) together provide an expression for w'2 which may be integrated^once: -EIfW2 = ^ d sinh ax+~ d cosh ax + ~ 2 + C 6 . 42) are valid for BC, with χ measured from Β provided the terms containing q are suppressed and the constants C\— Q are replaced by new constants Βχ — Β%.

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


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