Mr. J. M. Heppel on the Theory of Continuous Beams. 455 

 If we put b = 2a, l=3a, 



, / 7 , , 13 2 / 7 7 .13 



and cent r al deflection from equation (21), 

 Y=a 2 "" 



€ 



■ (30) 



/ 5 5 , , 2 / 5 47 .5 \\ 



+ f * (-16* '- TW 9 ' + a {~S2^ + 128 ^ WO) 



)) 



+ *„ - 



I8 ri 36 



7 , 2 / 1 ,1 11 



12 ' ' 144 



(31) 



If we put b = 2a, c = 3a, d=4a, l=5a, 



61 ^ . 13 



75 ri 15CT 2 



149 , 91 



13 13 



13 



Uffi* + M* + W' tt ' + TM* + 800' 1 



, /37 , 31 ,/37 ,123 ,31 ,31 ,31 



+ "' I 75 *' + l56fc- fl (l50 " 1 + 200 M2+ W 3 + 100 * + 300* 



+ 



/l9, , 37 ,/19 ,19 ,13 37 , 37 



3 1 75 ^ 1+ 150 02_a (j50 ,V 



50 r ■ 24 



100' 4 300 



(7 ^ , 31 2 / 7 ,7 ,7 , 161 31 



4 \75^ l5O 0a "" a VT5^ V 



Y = 



~2 , 



50 ri 50 " 30 ' rf 600' 4 300 

 and central deflection from equation (23), 



'' 1+ 1^ 2+ lo~ ft+ ilo ft+ 2V 5 



(32) 



/ 13 1 ,2/7,7,1 1 1 



•'(-6O* 1 ~-3O" 0, + a l¥" 1+ 60"= + -T2-''' + W^+W' 



/ 31 7 , , 2 /31 ,161 7 7 7 



+ * (-60*- W^ +a (l20 ,Jl+ 240 ft+ 12 "^' + W'+W' 



/ 9 9 . . ./ 9 . 27 _. 469 27 9 



+ e = (- 16* - Tr* 2 + " ( 32-'' I+ S2*+ m^lU^ ST* 



/ 7 31 , „/ 7 7 7 ,161 .31 



+e < (~ 30* ~ W* 2 + " (W 1 + W ft+ TT''' + 240' ll+ 120* 



/ 1 13 , ,/ 1 1 1 7 7 



+E = (-so* " w*° +a Vw A ' i+ w" + i2 l ' a+ W* + w- 



(33) 



