Analysis of Straight and Curved Beam-Columns

1951 ◽  
Vol 18 (3) ◽  
pp. 283-284
Author(s):  
C. M. Tyler ◽  
J. G. Christiano
Keyword(s):  
Axial Force ◽  
Relaxation Method ◽  
Curved Beam ◽  
Bending Moments ◽  
Structural Members ◽  
Beam Columns ◽  
Numerical Example ◽  
Number Of Segments

Abstract A method of analysis is developed for calculating the effects of deflection and axial force on the bending moments of structural members having both beam and column loadings. The member is divided into a number of segments and analyzed by a relaxation method directly in terms of the bending moments at each segment. This analysis is applicable to beam-columns of any shape and stiffness, and for any type of loading. A numerical example of an irregularly curved beam-column is included.

Stress Analysis of Aircraft Frameworks

1941 ◽  
Vol 45 (367) ◽  
pp. 241-262 ◽  
Author(s):  
N. J. Hoff
Keyword(s):  
Critical Loads ◽  
Bending Moments ◽  
Lateral Loads ◽  
Distribution Method ◽  
Numerical Examples ◽  
Beam Columns ◽  
Moment Distribution ◽  
Hardy Cross ◽  
Moment Distribution Method ◽  
The Stability

SummaryIt is shown that the calculation of the critical loads of a plane framework is superfluous if the bending moments in the bars due to external moments and to lateral loads are determined by the Hardy Cross moment distribution method as extended by James. Convergence of this method is a proof of the stability of the framework. In Section 1 methods of determining stresses and critical loads in frameworks are discussed. Section 2 deals with the distortion patterns of beam columns on several supports below and above the critical loads. In Section 3 the method of proof of the convergence is outlined, and regular and particular cases are discussed with the aid of numerical examples. The final proof is given in Section 4.

Analytical Computational Models for Relationship between Ultimate Bending Moment of Concrete Segments and Axial Force

2020 ◽  
Vol 853 ◽  
pp. 177-181
Author(s):  
Zhi Yun Wang ◽  
Shou Ju Li
Keyword(s):  
Numerical Simulation ◽  
Computational Model ◽  
Axial Force ◽  
Computational Models ◽  
Plane Deformation ◽  
Bending Moment ◽  
Analytical Models ◽  
Bending Moments ◽  
Axial Forces ◽  
Practical Engineering

Concrete segments are widely used to support soil and water loadings in shield-excavated tunnels. Concrete segments burden simultaneously to the loadings of bending moments and axial forces. Based on plane deformation assumption of material mechanics, in which plane section before bending remains plane after bending, ultimate bending moment model is proposed to compute ultimate bearing capacity of concrete segments. Ultimate bending moments of concrete segments computed by analytical models agree well with numerical simulation results by FEM. The accuracy of proposed analytical computational model for ultimate bending moment of concrete segments is numerically verified. The analytical computational model and numerical simulation for a practical engineering case indicate that the ultimate bending moment of concrete segments increases with increase of axial force on concrete segment in the case of large eccentricity compressive state.

scholarly journals Numerical analysis of symmetrical and asymmetrical reinforced concrete flat slabs - an integrated slab/ column analysis

2016 ◽  
Vol 9 (3) ◽  
pp. 306-356
Author(s):  
A. Puel ◽  
D. D. Loriggio
Keyword(s):  
Numerical Analysis ◽  
Axial Force ◽  
Three Dimensional ◽  
Bending Moment ◽  
Bending Moments ◽  
Flat Slabs ◽  
Distributed Load ◽  
Significant Difference ◽  
Local Support ◽  
Internal Forces

ABSTRACT This paper studies the modeling of symmetric and asymmetric flat slabs, presenting alternatives to the problem of singularity encountered when the slab is modeled considering columns as local support. A model that includes the integrated slab x column analysis was proposed, distributing the column reactions under the slab. The procedure used transforms the bending moment and column axial force in a distributed load, which will be applied to the slab in the opposite direction of gravitational loads. Thus, the bending moment diagram gets smooth in the punching region with a considerable reduction of values, being very little sensible to the variation of used mesh. About the column, it was not seen any significant difference in the axial force, although the same haven't occurred with the bending moments results. The final part of the work uses geoprocessing programs for a three-dimensional view of bending moments, allowing a new comprehension the behavior of these internal forces in the entire slab.

scholarly journals BUCKLING DELAMINATION IN COMPRESSED NO-TENSION HOMOGENEOUS BRITTLE BEAM-COLUMNS REINFORCED WITH FRP

2021 ◽  
Vol 30 (1) ◽  
Author(s):  
Francesco Marchione
Keyword(s):  
Analytical Solution ◽  
Structural Elements ◽  
Structural Members ◽  
Beam Columns ◽  
Instability Problem ◽  
Frp Reinforcement ◽  
Buckling Delamination ◽  
No Tension Material ◽  
Primary Instability ◽  
Delamination Length

The main issue of this paper is the instability of no-tension structural members reinforced with FRP. This study concerns the instability of FRP reinforcement. The primary instability problem of a compressed element involves the partialization of the inflex section. In particular, in the case of a compressed slender element reinforced on both tense and compressed side FRP delamination phaenomenon could occur on the latter. This entails the loss of the reinforcement effectiveness in the compressed area for nominal load values much lower than material effective strength. Therefore, structural elements or portions thereof which absorb axial components in the direction of the reinforcement may exhibit relatively modest performance with respect to the unreinforced configuration. By employing a no-tension material linear in compression, an analytical solution for FRP buckling delamination length is provided. The main objective of this paper is to provide a simplified tool that allows to evaluate the critical load of the reinforced beam-column and to predict the tension at which delamination and the loss of effectiveness of reinforcement in the compressed area could occur.

scholarly journals ULTIMATE BEHAVIOR OF BOX-SECTION BEAM-COLUMNS UNDER VARYING AXIAL FORCE

1994 ◽  
Vol 59 (461) ◽  
pp. 115-122 ◽  
Author(s):  
Satoshi YAMADA ◽  
Hiroshi AKIYAMA ◽  
Hitoshi KUWAMURA
Keyword(s):  
Axial Force ◽  
Beam Columns ◽  
Box Section

A Finite Series Solution for Grillages under Normal Loading

1957 ◽  
Vol 8 (1) ◽  
pp. 49-57 ◽  
Author(s):  
D. F. Holman
Keyword(s):  
Fourier Series ◽  
Numerical Computation ◽  
Series Solution ◽  
Accurate Solution ◽  
Lateral Loading ◽  
Bending Moments ◽  
Normal Loading ◽  
Numerical Example ◽  
Finite Series

SummaryA method has been given by Klitchieff for analysis of grillages of intersecting beams under lateral loading. Klitchieff's solution was in the form of infinite Fourier series and the expressions for bending moments converged approximately as Σ n–2, making numerical computation difficult. This paper shows that, for grillages in which one set of beams are evenly spaced, Klitchieff’s solution can be adapted to give finite series for deflections arid bending moments at the intersections of the beams. The number of terms in the series is not greater than the number of beams in the equally spaced set (referred to in this paper as set “ A ”). A numerical example is given and an accurate solution is obtained with appreciably less computation than other known methods would entail.

scholarly journals Seismic Performance of Lightweight Concrete Structures

2018 ◽  
Vol 2018 ◽  
pp. 1-6 ◽  
Author(s):  
Swamy Nadh Vandanapu ◽  
Muthumani Krishnamurthy
Keyword(s):  
Lightweight Concrete ◽  
Concrete Structures ◽  
Normal Weight ◽  
Bending Moments ◽  
Structural Members ◽  
Dead Load ◽  
Reinforced Concrete Frame ◽  
Shear Forces ◽  
Concrete Frame ◽  
Standard Software

Concrete structures are prone to earthquake due to mass of the structures. The primary use of structural lightweight concrete (SLWC) is to reduce the dead load of a concrete structure, which allows the structural designer to reduce the size of the structural members like beam, column, and footings which results in reduction of earthquake forces on the structure. This paper attempts to predict the seismic response of a six-storied reinforced concrete frame with the use of lightweight concrete. A well-designed six-storey example is taken for study. The structure is modelled with standard software, and analysis is carried out with normal weight and lightweight concrete. Bending moments and shear forces are considered for both NWC and LWC, and it is observed that bending moments and shear forces are reduced to 15 and 20 percent, respectively, in LWC. The density difference observed was 28% lower when compared NWC to LWC. Assuming that the section and reinforcements are not revised due to use of LWC, one can expect large margin over and above MCE (maximum considered earthquake; IS 1893-2016), which is a desirable seismic resistance feature in important structures.

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