Nonlinear Effects on the Analysis of Pin-Jointed Trusses

The effects of nonlinearity caused by the material property and the geometrical change of structure in the analysis of plane pin-jointed trusses are discussed herein. Several typical systems are analyzed by both of the linear and nonlinear theories, and corresponding comments are given to the numerical results.Article信州大学工学部紀要 30: 1-16 (1971)departmental bulletin pape

Operational Method for Continuous Beams, First Report : Rigid Support and Pin Joint

A further development of the eigenmatrix method is presented for continuous beams involving pin joints as well as rigid supports. The approach of the paper is based on the perfect classification of physical quantities, so that the behavior of the beams can be completely represented by the eigenmatrix. The analysis is carried out by systematic shift operation of 2-by-2 or 4-by-4 operational matrices. The concept of such as statically indeterminate system or simultaneous equations is eliminated in the present procedure, and hence the necessary analytical computation can be facilitated.Article信州大学工学部紀要 20: 1-30 (1966)departmental bulletin pape

Operational Method for Clapeyron's Theorem

Various methods for the analysis of continuous beams have been proposed and investigated. They are compelled to treating simultaneous equations involving many unknowns, which have been recognized to be unavoidably necessary in the analysis of solid mechanics. This paper takes a set of bending moments at any two consecutive supports of a continuous beam as the matrix consisting 2-by-1 elements, which is referred to as the eigenmatrix. 1) Then, one of these eigenmatrices can be shifted from one span to its adjacent one by a certain shift operator matrix which is defined by the span length and the moment of inertia of cross-section. By such a shift operation, the bending moment at any support of the continuous beam can be obtained readily and systematically, dispensing with simultaneous equations. 2) The influence from external loads, settlement of suppots, and temperature change is also expressible by a 2-by-1 shift operator matrix. For these factors, it will be necessary to make a simple modification to the fundamental operators. This method will be of great advantage in the analysis of complicated continuous beams.Article信州大学工学部紀要 18: 1-40 (1964)departmental bulletin pape

Operational Method for Displacement Analysis Second Report : Vierendeel trusses

Article信州大学工学部紀要 22: 27-48 (1967)departmental bulletin pape

Operational Method for Structural Networks First Report : Plane Systems with Rigid Connection

Article信州大学工学部紀要 21: 21-50 (1966)departmental bulletin pape

Operational Method for Continuous Beams, Second Report : Generalized Continuous Beams

This paper is a continuation from the first report by the writers, and it presents the generalized formulation of the operational method for bending problems of continuous beams. The powerfulness of the method in philosophy and computation may be observed from the shifting chart and the geometry matrix. The rigorous solution for all kinds of continuous beams can be obtained by systematic shift operations. The procedures presented herein can be readily developed to problems of the beams on elastic foundation, the beams with axial force, the column buckling, and their vibration analyses.Article信州大学工学部紀要 20: 31-60 (1966)departmental bulletin pape

Subsidiary Operational Method for Continuous Beam-Columns

Article信州大学工学部紀要 23: 15-34 (1967)departmental bulletin pape

Operational Method for Displacement Analysis First Report : Slope-Deflection Method for Rigid Frames

Article信州大学工学部紀要 22: 13-26 (1967)departmental bulletin pape

21 Figure Sines and Cosines with Radian Arguments

Article信州大学工学部紀要 23: 35-76 (1967)departmental bulletin pape

Direct Analysis of Continuous Beam-Columns

Article信州大学工学部紀要 23: 1-14 (1967)departmental bulletin pape