LITERATURE UPON THE CONTINUOUS GIRDER. 253 



deten Analytischen und Graphischen Methoden und ihres Zusammen- 

 hanges." Forster's Bauz., 1871, also separate reprint. [The geometrical 

 constructions are deduced from the analytical formulae.] 



2-i. SEEFEHLNER, G. " A tobbnyngpontfi vasrScstartdkrdl A magyar 

 mgrrok 6s 6pitesz egylet kozlonye," 1871 [Hungarian]. 



25. RITTER, W. " Die elastische Linie und ibre Anwendung auf den 

 continuirlichen Balken. Ein Beitrag zur graphischen Statik." Zurich, 

 1871. [This and the preceding work treat the continuous girder after the 

 Culmann-Mohr method.] 



26. OTT. " Vortrage iiber Baumechanik," II. Theil. Prag, 1872. 

 [Analytical determination of the shearing forces and moments for the sim- 

 ple and continuous girder of constant cross-section and level supports.] 



27. WEYRAUCH, J. I. " Allgemeine Theorie und Berechnung der con- 

 tinuirlichen und einfachen Trager." Leipzig, 1873. [A work well deserv- 

 ing to close the list. Gives the general theory for constant and variable 

 cross-section for any number of spans from 1 to GO, and for all kinds of 

 regular or irregularly distributed and concentrated loads. The formula 

 are general, and for given loading free from integrals. Difference of level 

 of supports ; most unfavorable position of load ; exact theory of the fixed 

 and movable inflexion and influence points, etc. Examples illustrating 

 use of formulae, and complete calculations of girders.] 



This last work leaves but little to be desired in thoroughness and com- 

 prehensiveness. 



It will be observed that England and America have contributed but lit- 

 tle to the literature of the subject. Indeed the standard works of both 

 countries show scarcely a trace of the influence of the labors of French and 

 German mathematicians in this field. The only works which, so far as we 

 are aware, can be mentioned in this connection are as follows : 



RANKINE, W. J. M. " Civil Engineering." 1870. [Very brief and in- 

 complete.] 



HUMBER. " Strains in Girders." American Ed. New York : Van 

 Nostrand. 1870. [Graphical constructions, holding good only under the 

 supposition that the end spans are so proportioned that the girder may be 

 considered as fixed at the intermediate supports, for full load.] 



STONET, B. "Theory of Strains." London, 1873. [Very brief notice 

 of the subject. Points of inflection are found for full load, and the flanges 

 then cut at these points.] 



HEPPEL, J. M. Phil. Mag. (London), Vol. 40, p. 446. 



Also Minutes of the Proceed, of the Inst. Civ. Eug. [Excellent papers, 

 which might well have been followed up.] 



In the latter publication also : 



BELL, W. Vol. 32, p. 171. 



STONEY, E. W. Vol. 29, p. 382. 



BARTON, JAMES. Vol. 14, p. 443. 



In American literature : 



FRIZELL. "Theory of Continuous Beams." Jour. Frank. Inst., 1873. 

 [Development of the subject according to Schfffler. See 8.] 



