BEAMS ON DISCRETE, NONLINEAR ELASTIC SUPPORTS

A MATRIX METHOD OF ANALYZING BEAMS ON DISCRETE, NONLINEAR ELASTIC SUPPORTS IS PRESENTED. BASIC BEAM THEORY AND NEWTON-RAPHSON'S ITERATION TECHNIQUE IS USED FOR THE SOLUTION. THIS APPROACH RELATES THE BOUNDARY CONDITIONS AT THE LEFT END OF THE BEAM TO THOSE AT THE RIGHT END AS A FUNCTION OF THE BEAM PROPERTIES, SPRING CHARACTERISTICS, AND LOADING CONDITIONS. DETERMINATION OF THE CONDITIONS AT THE TWO ENDS OF THE BEAM PERMITS SUBSEQUENT SOLUTION OF THE WHOLE BEAM BY SUCCESSIVE IMPLEMENTATION OF THE TRANSFER MATRIX TECHNIQUE. TWO EXAMPLE PROBLEMS ARE PRESENTED TO DEMONSTRATE THE APPLICATION OF THE METHOD. /ASCE/

• Supplemental Notes:
  • Vol 95, No ST11, PROC PAPER 6873, PP 2335-2351, 18 FIG,
• Authors:
  • Cheng, A P
  • Furr, H L
• Publication Date: 1969-11

Media Info

• Serial:
  • Journal of the Structural Division
  • Publisher: American Society of Civil Engineers

Subject/Index Terms

• TRT Terms: Beams; Computer programming; Iterative methods; Matrices (Mathematics); Structural analysis; Structural supports; Theory
• Old TRIS Terms: Supports
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00209104
• Record Type: Publication
• Files: TRIS
• Created Date: Feb 9 1970 12:00AM