Static tests on prestresed concrete beams using 7/16 in. strands.

Mode of access: Internet.

Shear strength of prestressed concrete beams.

Fitz Laboratory report 223.17A

The crystelliptometer, an instrument for the polariscopic analysis of very slender beams of light,

Reprinted from Journal of the Optical Society of America and Review of scientific instruments, VI, January, 1922.

A text-book on the mechanics of materials and of beams, columns, and shafts /

Alternate leaves blank.

A text-book on the mechanics of materials and of beams, columns, and shafts /

Mode of access: Internet.

Tests of concrete beams reinforced with unit frames.

Thesis (B.S.)--University of Illinois at Urbana-Champaign, 1910.

A test of reinforced concrete beams /

Thesis (C. E.)--Cornell University, 1902.

Analysis and design of partially prestressed beams to satisfy serviceability criteria /

Mode of access: Internet.

Useful information for engineers, architects, and constructors, and tables of rolled beams, channels, angles, etc. /

Mode of access: Internet.

Analysis of reinforced concrete beams subjected to fire /

Includes bibliographical references (p. 41).

Supported beams and slabs.

At head of title: Concrete craftsman series.

Residual stress and the yield strength of steel beams,

Sponsored jointly by the Welding Research Council and the Department of the Navy.

Multipole expansion of strongly focussed laser beams

Multipole expansion of an incident radiation field-that is, representation of the fields as sums of vector spherical wavefunctions-is essential for theoretical light scattering methods such as the T-matrix method and generalised Lorenz-Mie theory (GLMT). In general, it is theoretically straightforward to find a vector spherical wavefunction representation of an arbitrary radiation field. For example, a simple formula results in the useful case of an incident plane wave. Laser beams present some difficulties. These problems are not a result of any deficiency in the basic process of spherical wavefunction expansion, but are due to the fact that laser beams, in their standard representations, are not radiation fields, but only approximations of radiation fields. This results from the standard laser beam representations being solutions to the paraxial scalar wave equation. We present an efficient method for determining the multipole representation of an arbitrary focussed beam. (C) 2003 Elsevier Science Ltd. All rights reserved.

Adaptive Phase estimation is more accurate than nonadaptive phase estimation for continuous beams of light

We consider the task of estimating the randomly fluctuating phase of a continuous-wave beam of light. Using the theory of quantum parameter estimation, we show that this can be done more accurately when feedback is used (adaptive phase estimation) than by any scheme not involving feedback (nonadaptive phase estimation) in which the beam is measured as it arrives at the detector. Such schemes not involving feedback include all those based on heterodyne detection or instantaneous canonical phase measurements. We also demonstrate that the superior accuracy of adaptive phase estimation is present in a regime conducive to observing it experimentally.

An Analytical Solution for the Elastic Lateral-Distortional Buckling of I-section Beams

Lateral-distortional buckling may occur in I-section beams with slender webs and stocky flanges. A computationally efficient method is presented in this paper to study this phenomenon. Previous studies on distortional buckling have been on the use of 3(rd) and 5(th) order polynomials to model the displacements. The present study provides an alternative way, using Fourier Series, to model the behaviour. Beams of different cross-sectional dimensions, load cases and restraint conditions are examined and compared. The accuracy and versatility of the method are verified by calibrating against the results of other published studies. The present method is believed to be a simple and efficient way of determining the buckling load and mode shapes of I-section beams that are susceptible to lateral-distortional buckling modes.