Finite difference studies of deep continuous beams | |
| Author | Dumkerng Sanguansataya |
| Call Number | AIT Thesis no. 108 |
| Subject(s) | Girders, Continuous Difference equations--Numerical solutions |
| Note | A thesis submitted in partial fulfillment if the requirements for the degree of Master of Engineering in the SEATO Graduate School of Engineering, Bangkok, Thailand. |
| Publisher | Asian Institute of Technology |
| Abstract | This thesis deals with the analysis of stresses in a typical interior span of a deep continuous beam with an infinite number of spans. The analysis is based on a numerical approximation method, the so-called Finite Difference Method. The problem is limited to plane stress or two-dimensional analysis under some specified assumptions. All of the governing differential equations which are applied to all of the inner points in the beam, in terms of Airy stress function, , are established. The set of differential equations is then transformed into a set of linear algebraic simultaneous equations by means of the finite difference method. The solution of these equations was carried out with an IBM 7090 digital computer. In this study, two different load conditions are considered, i.e. a continuous uniformly distributed load at the bottom surface of the beam and a similar load at the top surface. Depth/span ratios of 1/4 and 1/2 were investigated. It was assumed that the length of distribution of reactions at the supports was 1/10 span. The results which are presented in this thesis and those obtained from Dischinger’s work, PORTLAND CEMENT ASSOCIATION (1951), are compared. For a depth/span ratio of 1/2, the width of support of 1/6-span is investigated also. One case in this thesis that is different from those considered by others is that of a depth/span ratio of 1/4. In this case, the straight line distribution of bending stress may be expected. |
| Year | 1965 |
| Type | Thesis |
| School | Student Research Before 1979 |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Thesis (Year <=1979) |
| Chairperson(s) | Dr. W.J. Venuti; |
| Examination Committee(s) | Dr. A. R. Cusens;Dr. L.B. Kriz;Dean Milton E. Bender, Jr. |
| Degree | Thesis (M.Eng.) - SEATO Graduate School of Engineering |