LITERATURE UPON THE CONTINUOUS GEBDEB. 251 



LITERATURE UPON THE CONTINUOUS GIRDER. 



We give below, for the benefit of students and those interested in the 

 subject, a list, chronologically arranged, of works upon the continuous 

 girder. A glance at this list will convince the reader as to the thorough- 

 ness with which the problem has been treated. 



1. REBHANN. "Theorie der Holz-und Eisenconstructionen." Wien, 

 1856. [Treats the continuous girder of constant cross-section and equal 

 spans according to the old method of Navier ; first determining the reac- 

 tions at the supports. A load in any single span only is considered, either 

 total uniformly distributed, or concentrated and acting at the centre.] 



2. KOPKE. " Ueber die Dimensionen von Balkenlagen, besonders in 

 Lagerhausern." Zeitschr. des Hannov. Arch. u. Ing. Ver., 1856. [The 

 simple and continuous girder. Attention is here first called to the advan- 

 tage gained from sinking the supports. ] 



3. SCHEFFLEK. " Theorie der Gewolbe, Futtermauern und Eisernen 

 Briicken." Braunschweig, 1857. [Continuous girder with total uniformly 

 distributed load, and invariable concentrated loading. Advantage of 

 sinking the supports.] 



4. CLAPEYRON. Calcul d'une poutre elastique reposant librement sur 

 des appuis indgalement especes." Comptes rendus, 1857. [Here, for the 

 first time, the well-known Clapeyronian method is developed, by which a 

 series of equations between the moments at the supports is first obtained. 

 Application to total distributed loads, but varying in different spans.] 



5. MOLLINOS ET PHONIER. " Traite" thdoretique et practique de la con- 

 struction des ponts me'talliques." Paris, 1857. [Treatment of the con- 

 tinuous girder of constant cross-section, according to Clapeyron.] 



6. GRASHOF. " Ueber die relative Festigkeit mit Riicksicht auf deren 

 moglichste Vergrosserung durch angemessene Unterstiitzung und Einmau- 

 erung der Tra'ger bei constantem Querschnitte." Zeitschr. des Deutsch. 

 Ing. Ver., 1857, 1858, 1859. 



7. MOHK. " Beitrag zur Theorie der Holz-und Eisenconstructionen." 

 Zeitschr. des Hannov. Arch. u. Ing. Ver., 1860. [Theory of continuous 

 girder, with reference to relative height of supports. Application to gird- 

 ers of two and three spans. Best sinking of supports for constant cross- 

 section. Disadvantage of accidental changes of height of supports. In- 

 fluence of breadth of piers.] 



8. H. " Continuirliche Briickentrager." Bornemann's Civil-Ingenieur, 

 1860. [Continuous girder of constant cross-section of three spans. Best 

 ratio of spans, and sinking of supports.] 



9. WINKLER. " Beitrage zur Theorie der continuirlichen Briicken- 

 trager." Civil-Ingenieur, 1862. [General Theory. Determination of 

 methods of loading causing maximum strains; and, for the first time, 

 general rules for the same given. Best ratio of end spans.] 



