Buch 
Tracts on vaults and bridges : containing observations on the various forms of vaults; on the taking down and rebuilding London Bridge : and on the principles of arches: illustrated by extensive tables of bridges : also containing the principles of pendent bridges, with reference to the properties of the catenary, applied to the Menai Bridge : and a theoretical investigation of the catenary / Samuel Ware
Entstehung
Seite
53
JPEG-Download
 

53

To find the absciss, V O, and double 4ordinate B W of the catenary F w v B

Brought up 114.5292 5=469.8 its log.=2.6719130Log of sin.p = 1.0960615

17767 9745 = 58.6141 73d 43

Log. of cos. <p=l.9965937of 173.146 = 2.23840492:2349986Log 5=2.3708830

__ 2

of 5 2 =4.74176602.2349986

2.5067674=321.I94=7=P B.

To find B W=4/ sin. cos.?

Log. 4=0.60206007=2.5067674Sin. ?=1.0960615Cos. f =1.9965937

2.2014826 = 159.031 = B W.

To find B L=7 sin.ip".Log. sin. </)= 1.09606152

BI + B L=VOB 1=115.697

of sin. f=2.19212307=2.5067674

B L= 4.999V 0 = 120.696

.6988904 = 4.9991 =B L.E 3