XXVI TABLE OF CONTENTS. 



ART. PlOB 



1 16. Beam fixed at one end, supported at the other 175 



1 17. Pruct ieal construction 178 



1 1 x . Beam continuous over three level supports 178 



1 l!i. Practical construction 179 



1 '! i. The pivot draw with secondary central span 181 



121. Supports not on a level Reactions 182 



1 ,?,'. Beam over four level supports 184 



1 ':'>. Practical construction 186 



1 '2 1. Pivot span Example 187 



KM. Method of passing in construction, from one span to another 190 



126. Method of procedure for any number of spans 192 



127. Example Central span of seven spans 194 



128. Method of calculation by moments 198 



CHAPTER XIII. 



ANALYTICAL FORMULA FOR THE SOLUTION OF CON- 

 TINUOUS GIRDERS. 



129. Introduction 202 



130. Notation 204 



131. Theorem of three moments 205 



132. Example Total uniform load Moments 206 



133. Triangle of moments 207 



134. Total uniform load All spans equal Reactions 209 



135. Triangle for reactions 209 



136. Clapeyron's numbers 210 



137. Uniform live load over any single span Moments at supports 211 



138. Triangle for moments Loaded span 212 



139. Unloaded spans Moments 213 



140. Practical rule and table for finding the above , 214 



141. Reactions at supports Loaded span 216 



142. Triangle for reactions 217 



143. Reactions for unloaded spans Tables for 218 



144. Concentrated load in any span Moments 220 



145. Application of above formulae 220 



146. Triangle and table for moments % 22? 



147. Reactions at supports Concentrated load 228 



148. Shear at supports 223 



149. Recapitulation of above formulae 225 



150. Continuous girder with variable end spans 228 



151. Application of formulae for 229 



152. Continuous girder with fastened ends 230 



153. Beam of single span Fastened at both ends Fastened at one end, 



etc. Examples 230 



154. Tables for momenta End spans variable 233 



155. Continuous girder All spans different General formulae Exam- 



ples .*. 237 



156. General method of calculation 241 



