Bending moment

About: Bending moment is a research topic. Over the lifetime, 14577 publications have been published within this topic receiving 158834 citations. The topic is also known as: bending moment.

Estimating the Effects of Tunneling on Existing Pipelines

Abstract: A method is presented for estimating the maximum bending moment for continuous (or rigidly jointed) pipelines affected by tunnel-induced ground movement. The estimation can be made based on the knowledge of tunnel and pipeline geometries, the stiffness of soil and pipeline, and tunnel-induced ground deformation at the pipeline level. The method takes account of soil nonlinearity by an equivalent linear approach, in which the stiffness of the soil is evaluated based on an average deviatoric strain developed along the pipeline. The approach is conservative and promises that the bending moment is not underestimated. The validity of the method as an upper bound approximation is evaluated against centrifuge test results.

Moving force identification: A time domain method

Abstract: The solution for the vertical dynamic interaction forces between a moving vehicle and the bridge deck is analytically derived and experimentally verified. The deck is modelled asa simply supported beam with viscous damping, and the vehicle/bridge interaction force is modelled as one-point or two-point loads with fixed axle spacing, moving at constant speed. The method is based on modal superposition and is developed to identify the forces in the time domain. Both cases of one-point and two-point forces moving on a simply supported beam are simulated. Results of laboratory tests on the identification of the vehicle/bridge interaction forces are presented. Computation simulations and laboratory tests show that the method is effective, and acceptable results can be obtained by combining the use of bending moment and acceleration measurements.

Strength of materials ..

Abstract: (Vol. 1, part of 2 vols set) Size: 22x14cm., Contents: Chapter I. Tension and Compression within the Elastic Limit II. Analysis of Stress and Strain III. Bending Moment and Shearing Force IV. Stresses in Laterally Loaded Symmetrical beams V. Deflection of Laterally Loaded Symmetrical Beams VI. Statically Indeterminate Problems in Bending VII. Symmetrical Beams of Variable Cross Section-Beams of Two Materials VIII. Bending of Beams in a plane which is not a Plane of Symmetry IX. Combined Bending and Axial Load Theory of Columns X. Torsion and Combined Bending and Torsion XI. Strain Energy and Impact XII. Curved Bars Appendix A: Moments of Inertia of Plane Areas Appendix B. Tables of Structural Shapes Author Index Subject Index. ISBN:8123910304 xiv+442 Yr. of Pub.reprint 2004Paper Back

Elliptical flexure hinges

Abstract: This paper presents closed form equations based on a modification of those originally derived by Paros and Weisbord in 1965, for the mechanical compliance of a simple monolithic flexure hinge of elliptic cross section, the geometry of which is determined by the ratio e of the major and minor axes. It is shown that these equations converge at e=1 to the Paros and Weisbord equations for a hinge of circular section and at e ⇒∞ to the equations predicted from simple beam bending theory for the compliance of a cantilever beam. These equations are then assessed by comparison with results from finite element analysis over a range of geometries typical of many hinge designs. Based on the finite element analysis, stress concentration factors for the elliptical hinge are also presented. As a further verification of these equations, a number of elliptical hinges were manufactured on a CNC milling machine. Experimental data were produced by applying a bending moment using dead weight loading and measuring subsequent ...