OPTIMUM ELASTIC DESIGN OF REDUNDANT TRUSSES
THE PROBLEM STUDIED IS THAT OF DESIGNING PLANAR REDUNDANT TRUSSES HAVING FIXED GEOMETRY AND WHOSE FORCE DISTRIBUTION UNDER APPLIED LOADING MAY BE ADEQUATELY DESCRIBED BY A LINEAR ANALYSIS. THE FLEXIBILITY APPROACH IS USED AND IT IS ASSUMED THAT ALL INTERNAL FORCES ARE CAUSED PURELY BY THE APPLICATION OF THE EXTERNAL FORCES, THE LATTER BEING INDEPENDENT OF THE DESIGN. THE PROBLEM IS TO MINIMIZE AN OBJECTIVE FUNCTION EQUAL TO THE PRODUCT OF A VECTOR OF GROUP AREAS AND A VECTOR OF THE PRODUCTS OF GROUP COST COEFFICIENTS AND THE TOTAL LENGTH OF MEMBERS CONTAINED WITHIN THE GROUP. FOR ALL COST COEFFICIENTS EQUAL TO UNITY THE OBJECTIVE FUNCTION IS THE TOTAL VOLUME OF STRUCTURAL MATERIAL REQUIRED AND IT MAY BE CONVERTED INTO A WEIGHT OR COST FUNCTION BY A CHOICE OF SUITABLE COEFFICIENTS. THE OPTIMIZATION IS SUBJECT TO NO MEMBER STRESS OR CROSS- SECTIONAL AREA EXCEEDING ITS UPPER OR LOWER BOUND, BUT NO DEFLECTION CONSTRAINTS ARE CONSIDERED. /ASCE/
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Supplemental Notes:
- Vol 95, No ST 12, PROC PAPER 6938, PP 2589-2610, 14 FIG, 3
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Authors:
- Johnson, D
- BROTTON, D M
- Publication Date: 1969-12
Media Info
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Serial:
- Journal of the Structural Division
- Publisher: American Society of Civil Engineers
Subject/Index Terms
- TRT Terms: Design; Elastic analysis; Flexibility; Linear programming; Optimization; Redundancy; Structural engineering; Trusses
- Old TRIS Terms: Elastic analysis (Structural); Optimum design
- Subject Areas: Bridges and other structures; Design; Highways;
Filing Info
- Accession Number: 00209132
- Record Type: Publication
- Files: TRIS
- Created Date: Feb 24 1970 12:00AM