. Railroad construction, theory and practice; a text-book for the use of students in colleges and technical schools . e theoretical defects is vitally objectionable or even appre-ciable. In Fig. 147 KC is practically perpendicular to one frog-rail and KOi is exactly perpendicular to the other , thegle CKOi equals the frog angle F. While thefollowing calculations are amply precise for practical purposes,the discrepancy from strict mathematical accuracy should benoted and properly the triangle CSK CS+CK:CS-CK::tsiJi i(CKS+CSK):tsin i{CKS-CSK); but i{CKS+CSK) =90-^4^;
. Railroad construction, theory and practice; a text-book for the use of students in colleges and technical schools . e theoretical defects is vitally objectionable or even appre-ciable. In Fig. 147 KC is practically perpendicular to one frog-rail and KOi is exactly perpendicular to the other , thegle CKOi equals the frog angle F. While thefollowing calculations are amply precise for practical purposes,the discrepancy from strict mathematical accuracy should benoted and properly the triangle CSK CS+CK:CS-CK::tsiJi i(CKS+CSK):tsin i{CKS-CSK); but i{CKS+CSK) =90-^4^; and, since the triangle OiSK isisosceles, ^lCKS-CSK) = iF; §310. SWITCHES AND CROSSINGS. 351 .-. 2R-{-d+K sin F : d-g-K sin F ::cot ixp : tan §F : tan J^; 2n(d-g-K sin F) .*. tan h^l/ = — ^ 2R+d-i-K sin F From the triangle COiK we may derive r-ig : R-\-ig+K sin F::sin xp : sin {F+xp)] sin \l/ (83) Also T-\g^{R+hg+KsmF). sm (r +^; X^=2(r~§^)sinKi^+\^). . (84) (85) 310. Connecting curve from a curved track tp the inside. As above, it may readily be deduced from the triangle CKS (seeFig. 148) that. Fig. 148. CK-^CS : CK-CS:: tan ^{CSK-^CKS) : tan i(CSK-CKS);(2R-d-KsinF) : {d-g-K sin F:: cot JiA : tan |F; 2n(d-^-i^sin F) tan i0= .... From triangle COiK, OyK : Ci^::sin ^/^ : sin {F-xp)](r-ig) : (i2-|sf-i^ sin F) ::sin ^ : sin (F-ip); sin t/ (86) (.r-ig) = iR-ig-KsmF) sin (F-«^) (87) 352Also RAILROAD CONSTRUCTION. KS==2{r-ig)smi{F-^) §310. (88)
Size: 1867px × 1338px
Photo credit: © Reading Room 2020 / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1900, bookdecade1910, bookidrailr, bookpublisheretcetc
