ANALYSIS OF SUSPENSION BRIDGES USING ENERGY PRINCIPLES

The paper deals with the analysis of suspension bridges using strain energy principles. Interaction between girder and cable is shown to be conveniently treated by means of A lagrangian multiplier function. The method of calculus of variations is applied to show that the strain energy function, modified by the lagrangian multiplier, leads to exact equations of equilibrium. Truncated Fourier series representations of the displacements and cable strain increase are used to obtain an approximate solution for A single span bridge. Results are compared with those obtained from the classical deflection theory. Conditions of geometrical compatibility and of equilibrium corresponding to the two theories are investigated and compared. An improved compatibility condition for the deflection theory is proposed. Finally, both theories are compared with the results from a detailed experimental investigation. (A) /TRRL/

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/14665123
• Corporate Authors:

  Institution of Structural Engineers

  11 Upper Belgrave Street
  London,   United Kingdom  SW1X 8BH
• Authors:
  • Van der Woude, F
• Publication Date: 1976-4

Language

• English

Media Info

• Features: Figures; Photos; References; Tables;
• Pagination: p. 121-132
• Serial:
  • Structural Engineer
  • Volume: 54
  • Issue Number: 4
  • Publisher: Institution of Structural Engineers
  • ISSN: 1466-5123

Subject/Index Terms

• TRT Terms: Beams; Bridge design; Bridge superstructures; Bridges; Cables; Deflection; Deformation; Energy; Equations; Equilibrium (Mechanics); Girders; Lagrangian functions; Mathematical analysis; Mathematical models; Mineral dislocations; Structural design; Suspension bridges
• Uncontrolled Terms: Bridge spans
• ITRD Terms: 6471: Analysis (math); 3472: Beam; 4530: Cable; 5586: Deflection; 5595: Deformation; 213: Energy; 7145: Equilibrium; 6473: Mathematical model; 3476: Suspension bridge
• Subject Areas: Bridges and other structures; Design; Energy; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 00138878
• Record Type: Publication
• Source Agency: Transport and Road Research Laboratory (TRRL)
• Files: ITRD, TRIS
• Created Date: Oct 26 1976 12:00AM