APPENDIX.] THE BRACED AECH. 399 



Also from our formulas of Art. 160, we have 

 40 



c a = - 

 Hence for 



187.6 + 5 x 246.1 I 



|87.5 - 5 a> 246.1 1 

 15 (87.5 -f )!_ 



15 (87.5 o>) 

 40 



P, #=-75 o,= + 7.92 c a = -46.16 



P, se = - 62.5 c, = + 7.44 c, = 20.40 



P, x = - 50 c t = + 6.72 c a = 9.50 



P 4 os = - 37.5 c, = + 6.0 <?, = 4.20 



P 8 x = 25 c, = + 5.28 c, = 0.96 



P a x = 12.5 c, = + 4.20 c a = + 1.56 



P 7 2 = ^ = + 2.88 c, = + 2.88 



P, a? = + 12.5 c, = + 1.56 c a = + 4.20 



P, x = + 25 c l = 0.96 c a = + 5.28, etc., 



negative values of c being laid off below the ends of centre 

 line. These values of C, and C a we have checked as recom- 

 mended in Art. 20, page 301. 



We can therefore easily construct the left reactions, as ex- 

 plained in Art. 160, Fig. 92. We thus obtain 



P t = 0.2, P a = 0.6, P, = 1.3, 



H t = 1.7, H, = 5.2, H, = 10.3, 



M, = - 13.46 M a = + _ 38.7 M, = + - 69.22, 



P 4 = 2.1, P. = 3.1, P. = 4.0, 



H 4 = 14.1, H. = 18.0, H 6 = 20.0, 



M 4 = + - 84.6, M 5 = - 95, M. = - 84, 



P T = 5.0, P 8 = 6.0, P, = 6.9, 



H T = 20.6, H. = 20.0, H, = 18.0, 



M 7 = + - 59.32, M 8 = - 31.20, M, = - 17.28, 



TT -I A 1 TT 1 A Q TI K O IT 1 T 



1 ]0 14,1, l u = lO.d, H ]a = 5.^, 1,, 1.7, 



M 10 = + 59.22, M u = + 97.85, M ia = + 106, M M = + 78.47. 



A positive moment indicates compression in the lower flange 

 at abutment, and tension in upper. 



