Audience members (including Max Rieser?); 3rd International Congress of Aesthetics; Venice Portraits Groups

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Finite element analysis of laminated anisotropic thin-walled open-section beams

A finite element analysis of thin-walled open-section laminated anisotropic beams is presented herein. A two-noded, 8 degrees of freedom per node thin-walled open-section laminated anisotropic beam finite element has been developed and used. The displacements of the element reference axes are expressed in terms of one-dimensional first order Hermite interpolation polynomials and line member assumptions are invoked in the formulation of the stiffness matrix. The problems of: 1. (a) an isotropic material Z section straight cantilever beam, and 2. (b) a single-layer (0°) composite Z section straight cantilever beam, for which continuum solutions (exact/approximate) are possible, have been solved in order to evaluate the performance of the finite element. Its applicability has been shown by solving the following problems: 3. (c) a two-layer (45°/−45°) composite Z section straight cantilever beam, 4. (d) a three-layer (0°/45°/0°) composite Z section straight cantilever beam.

Eva Herzberg later Stern (left) with two unidentified young women Portraits Groups Women

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Signed portrait of Eva Herzberg later Stern Portraits Groups Women

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Paula Pohl Rieser nee Wagner with Ignaz Blumenfeld Portraits Groups

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Group portrait at the farewell banquet for Dr. William Antopol from the laboratory staff of Mount Sinai Hospital; Ken's Chop House, New York city Portraits Groups

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Group US Army military portrait including Dr. William Levison (top row, third from left); Schofield Barracks, Hawaii Portraits Groups Men

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U.S. Army Passover Seder; Hawaii Portraits Groups

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Dr. William Levison (seated, far left) with other U.S. Army medial doctors and nurses with Christmas Tree in background Portraits Groups

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Unterprima (eleventh grade) boys school class portrait Portraits Groups Men

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Embedding Of Non-Simple Lie-Groups, Coupling-Constant Relations And Non-Uniqueness Of Models Of Unification

A general derivation of the coupling constant relations which result on embedding a non-simple group like SU L (2) @ U(1) in a larger simple group (or graded Lie group) is given. It is shown that such relations depend only on the requirement (i) that the multiplet of vector fields form an irreducible representation of the unifying algebra and (ii) the transformation properties of the fermions under SU L (2). This point is illustrated in two ways, one by constructing two different unification groups containing the same fermions and therefore have same Weinberg angle; the other by putting different SU L (2) structures on the same fermions and consequently have different Weinberg angles. In particular the value sin~0=3/8 is characteristic of the sequential doublet models or models which invoke a large number of additional leptons like E 6, while addition of extra charged fermion singlets can reduce the value of sin ~ 0 to 1/4. We point out that at the present time the models of grand unification are far from unique.

Writer Clara Michelson (second from left) seated at an outdoor table with three unidentified women and one unidentified man; Saint-Brevin-les-Pins, France Portraits Groups

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Portrait of David Baumgardt with Marie Zweig Portraits Groups

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Leo Baeck sitting on grass with Rudolf Seligsohn; Erzgebirge Portraits; Groups; Men

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