Definition Of Curvature Research Articles

A Critical Review of the Seismic Design Provisions for Ductile Shear Walls of the Canadian Code and Commentary

The 1975 Canadian Building Code for the design of reinforced concrete shear wall buildings in high seismic risk areas includes provisions that are new and significant. This paper critically examines some of these provisions, especially as they apply to cantilever shear walls. Clarifications in the definitions of curvature, member, and system ductilities are attempted. The relationship between curvature and system ductility is examined. Code provisions on allowable shear stress in the wall in the plastic hinge region and the provisions for the classification of the walls are discussed. Attention of the designer is drawn to some aspects of the code and the commentary that may result in structures of doubtful safety.

An experimental method for recording curvature contours in flexed elastic plates

In two previous papers describing the Salet-Ikeda slope contouring method and the Martinelli-Ronchi point-by-point curvature method, definition of curvature over the whole field of a flexed elastic plate was the ultimate objective. This paper describes briefly an experimental technique by which contours of equal resolved curvature can be defined by the superposition of two Salet-Ikeda slope photographs.

On Metric Arcs of Vanishing Menger Curvature

1. Let r be a metric space which is a simple arc, that is the topological image of a closed linear segment. Menger introduced the following purely metric definition of curvature ([6], pp. 480, 481).2 Let q, r, s be any distinct points of r. In virtue of the triangle inequality, their mutual distances qr, rs, qs are equal to the sides of a certain euclidean triangle. Let p(q, r, s) = 1/K(q, r, s) (O < p < (X2, 0 < K < ?? ) denote the radius of the circle circumscribed to that triangle, hence K(q, r, s) is its curvature. In fact