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CAE419_midterm1_Formula sheet_Fall 2015.doc

CAE419_midterm1_Formula sheet_Fall 2015.doc - 0 Formula...

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Formula Sheet Acceleration on grade : a = 32.2(f ± G).cosα Braking time : Distance on constant acceleration : Braking distance on grade : Stopping sight distance on level section: Stopping sight distance on grade: Vertical curve : α Angle of incline of vertical curve Grade of vertical curve G = tanα Difference in grade A = G 2 -G 1 Middle ordinate Sight distance Crest L S A h h 2 S 2 L L S h h 2 S A L 2 2 1 2 2 1 2 Sag L S A B S H S L L S B S H S A L tan 2 2 tan 2 2 Station X VPC = X PI – L/2, X VPT = X PI + L/2, X High/Low =G 1 .L/(G 1 -G 2 ) Elevation E VPC = E PI - G 1 (L/2), E VPT = E PI - G 2 (L/2), E X = E VPC +G 1 X+ AX 2 /(2L) 0 G f 30 V V d 2 1 2 0 b (d b : ft, V 0 and V 1 : mph, and “-“ for G if downgrade) a V V 466 1 t 1 0 b . 8 AL E M (a: ft/s 2 , and “-“ for G if downgrade) r 0 2 0 t V 466 1 a V 075 1 S . . (S: ft, V 0 : mph, a: ft/s 2 , and t r : sec) (t b : sec, V 0 and V 1 : mph, and a: ft/s 2 ) 2 0 2 1 b b at t V x (x: ft, V 0 : mph, a: ft/s 2 , and t b : sec) (S: ft, V 0 : mph, a: ft/s
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