Linearly Elastic Analysis of Plane Frames Subjected to Complex Loading Conditions - Research Report 56-21 - Analytical tool and computer simulation methods

Sep 10, 2026

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Analytical methods for the solution of plane-frame structures under complex loading conditions are presented using a computer program designed to reduce hand calculations. The approach is based on the linear elastic behavior exhibited by many plane frames, enabling efficient evaluation across multiple loading cases and combinations with only slightly higher computational cost than a single solution. The report is part of a broader research series supported by the Texas Highway Department and the U.S. Federal Highway Administration.

LanguageEnglish

CategoryResearch & Report

FormatPDF

Pages256

Reading Time10 h 45 min

AccessFree to download

Preface

Linear elastic analytical approach

Computer program and loading-case efficiency

Report series context

Program deck and test data availability

Acknowledgments

List of Reports

# LINEARLY ELASTIC ANALYSIS OF PLANE FRAMESSUBJECTED TO COMPLEX LOADING CONDITIONS by Clifford 0.Hays and Hudson Matlock Research Report Number 56-21 # Development of Methods for Computer Simulationof Beam-Columns and Grid-Beam and Slab SystemResearch Project 3-5-63-56 conducted for The Texas Highway Department in cooperation with theU.S.Department of TransportationFederal Highway Administration by the CENTER FOR HIGHWAY RESEARCHTHE UNIVERSITY OF TEXAS AT AUSTIN June 1971 The opinions,findings,and conclusionsexpressed in this publication are thoseof the authors and not necessarily thoseof the Federal Highway Administration. ## PREFACE This report presents an analytical tool for the solution of plane-framestructures. The computer program developed for the solution is intended tobe well suited for solving complex structures with a minimum of hand calcula-tions. The solution techniques developed rely on the linear1y elastic behaviorthat many plane frames exhibit under design loads. This linearity allows theuser to solve a structure for many loading cases and combinations of loadingcases at a cost only slight1y greater than that of a single solution. This is the twenty-first in a series of reports that describe work under Research Project No.3-5-63-56,'Development of Methods for Computer Simula- tion of Beam-Columns and Grid-Beam and Slab Systems".Reports No.56-1,56-3, 56-4,56-7,and 56-14 provide background information for this report. Duplicate copies of the program deck and test data cards for the exampleproblems in this reporc may be obtained from the Center for Highway Research,The University of Texas at Austin. Thanks are due to the members of the staff of the Center for HighwayResearch for their assistance in producing this report. Clifford 0.Hays,Jr.Hudson Mat1ock October 1970 This page replaces an intentionally blank page in the original.--CTR Library Digitization Team LIST OF REPORTS Report No.56-1,"A Finite-Element Method of Solution for Linearly Elastic Beam-Columns"by Hudson Matlock and T.Allan Haliburton,presents a finite- element solution for beam-columns that is a basic tool in subsequent reports. Report No.56-2,"A Computer Program to Analyze Bending of Bent Caps"byHudson Matlock and Wayne B.Ingram,describes the application of the beam-columm solution to the particular problem of bent caps. Report No.56-3,"A Finite-Element Method of Solution for Structural Frames"by Hudson Matlock and Berry Ray Grubbs,describes a solution for frames withno sway. Report No.56-4,"A Computer Program to Analyze Beam-Columns under MovableLoads"by Hudson Matlock and Thomas P.Taylor,describes the application ofthe beam-columm solution to problems with any configuration of movable non-dynamic loads. Report No.56-5,"A Finite-Element Method for Bending Analysis of LayeredStructural Systems"by Wayne B.Ingram and Hud son Matlock,describes analternating-direction iteration method for solving two-dimensional systemsof layered grids-over-beams and plates-over-beams. Report No.56-6,"Discontinuous Orthotropic Plates and Pavement Slabs"byW.Ronald Hudson and Hudson Matlock,describes an alternating-directioniteration method for solving complex two-dimensional plate and slab problemswith emphasis on pavement slabs, Report No.56-7,"A Finite-Element Analysis of Structural Frames"by T.AllanHaliburton and Hudson Matlock,describes a method of analysis for rectangularplane frames with three degrees of freedom at each joint. Report No.56-8,"A Finite-Element Method for Transverse Vibrations of Beamsand Plates"by Harold Salani and Hudson Matlock,describes an 1mplicit pro-cedure for determining the transient and steady-state vibrations of beams andplates,including pavement slabs. Report No.56-9,"A Direct Computer Solution for Plates and Pavement Slabs"by C.Fred Stelzer,Jr.,and W.Ronald Hudson,describes a direct method forsolving complex two-dimensional plate and slab problems. Report No.56-10,

FAQs

Which organizations sponsored the development described in the report?

The work was conducted for the Texas Highway Department in cooperation with the U.S. Department of Transportation, Federal Highway Administration, by the Center for Highway Research at the University of Texas at Austin.

Sep 10, 2026

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