1950
DOI: 10.1017/s0368393100116165
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The Anticlastic Curvature of Rectangular Beams and Plates

Abstract: The pure bending of a rectangular beam about an axis parallel to a principal axis of its cross-section is well understood if its depth d is comparable in magnitude with its breadth b. The usual theory, noticing the geometrical fact that at any cross-section the longitudinal strains of filaments of the beam are proportional to the distances of the filaments from some neutral axis parallel to the axis of bending, postulates that the longitudinal stresses will vary in the same way.

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Cited by 92 publications
(44 citation statements)
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“…However, here the first steps of phase formation have been observed (16). The formation of the Au 4Ti phase -after 10 minutes at 573 K -was rather faster than indicated by other experiments (6).…”
Section: Recoverymentioning
confidence: 43%
“…However, here the first steps of phase formation have been observed (16). The formation of the Au 4Ti phase -after 10 minutes at 573 K -was rather faster than indicated by other experiments (6).…”
Section: Recoverymentioning
confidence: 43%
“…General equations describing thin plate 2D profile Z(x, y) are non-linear. For our cantilever with principal curvature 1/R along its length (Z(x, y) = −x 2 /2R+z(y)) there is an analytical solution: the transverse profile of the vertical deviation z(y) can be obtained from the 4th order differential equation 2,4 :…”
Section: Appendix B: Evolution Of Anticlastic Deformationmentioning
confidence: 99%
“…It is correct within the restrictions outlined above, which are less restrictive than had been previously stated in the literature. Equation (4) can be used to analyze an experiment where a deflection is measured and a force applied simultaneously permitting an increase in accuracy.…”
Section: Shown Inmentioning
confidence: 99%