■606 REPORT— 1893. 



Internal forces and stresses in any plane. 

 Rankirie's ellipse and ellipsoid of stress. 



Ritter's treatment of internal forces and problems of maximum stress. 

 Pressure of earth. 



(2) Framework. — The methods of sections of Rankine, of Culmann, 

 of Zimmermann, and of Ritter. Examples in framework in which 

 graphical solutions have been given, including English, French, bow- 

 string, parabolic, Schwedler, Linville, and other trusses. 



Hinged girders. Graphical construction for single and double swing 

 bridges. 



Framework with redundant parts. 



Cases of unfavourable loading. 



Limit to which a load can be placed on a framework in order to 

 give maximum stress in a bar. 



Method of determining stress in parts of a girder. 



Treatment of wind pressure. Effect of temperature. 



Treatment of additional forces and secondary strains. Cost of struc- 

 tures from reciprocal diagrams. 



(3) Suspension Bridges. 



(4) Arches. — Elementary treatment of the problem. 

 Durand-Claye's method for finding admissible lines of pressure on 



the arch. 



Heuser's problem applied to arch work. 

 Conditions of equilibrium in a pointed arch. 

 Transformed catenary and two-nosed catenary. 



(5) Retaining Walls and Tunnels. — Determination of amount and 

 direction of earth pressure. 



Passive earth pressure. Earth pressure on retaining walls. 



Action of pressure of earth on retaining walls. 



Hyperbola of earth pressure. 



Lines of action of resultant pressure on retaining walls. 



Parabola of cohesion 



Effect of fluid behind retaining walls. 



Profile of reservoir wall. 



Lines of pressure in a tunnel arch. 



Cases of unsymmetrical tunnels in sidelong ground. 



Spherical and conical domes of masonry. 



(6) Masonry Piers. — General consideration. Piers of great height. 

 Construction for a tower of masonry and for brickwork chimneys. 



2. FORCE IN ITS APPLICATION TO BODIES CONSIDEEED AS BEING ELASTIC. 



(1) The Simple Beam. — Graphical construction for moment of inertia 

 and products of inertia. 



Central ellipse and ellipse of inertia. 



' Kern ' or ' core ' of various sections. 



Cases of a beam with oblique forces. 



Geometrical construction of Durand-Claye's hyperbola. 



Cases of an unsymmetrical beam. 



Planes of greatest and least stress in a beam. 



Diagrams of moment of resistance and of shearing resistance in a 

 team. 



