Compute the degree of the curve (D), tangent distance (T), length of the curve (Lc), and long chord of the horizontal curve. Also compute for the incremental chord distance (Linc), the deflection angles (∆n) and total chords (Ln) for each 2-meter station of the curve starting from PC. Round-off the computed values up to 3 decimal places. GIVEN(21R/360) = (distance per station/D)T= R tan (1/2)(21R/360) = (Lc/I)L = 2R sin (1/2)COMPUTING INCREMENTAL CHORD DISTANCES(21R/360) = [distance per station/(2 8,)](eqn 5)8n =Linc = 2R sin (8n)(eqn 6)Line =POINTPCABCOMPUTING DEGREE OF THE CURVE, TANGENT DISTANCELENGTH OF THE CURVE AND LONG CHORD(eqn 1) | D =(eqn 2) T=(eqn 3)Lc =(eqn 4) L=CDEFGHIJPTCOMPUTING DEFLECTION ANGLES AND TOTAL CHORD DISTANCESLC₁ = distance between points(21R/360) = (LCn/2An)L2R sin (An)STA0+0+0+0+0+———0+___0+---0+0+0+___0+0+___STA of PI = 0+010.580Anusing (eqn 7)Measured from PCR = 60 mI = 20 degreesA₁ =A₂ =A3 =A4 =As =A6 =A7 =Δg =A9 =Διο =Δ(to check: should be thesame with 1/2)11 =(eqn 7)(eqn 8)LnL₁ =L₂ =L3 =L₁ =Ls =using (eqn 8)L6 =L₂ =Ls =L9 =L10 =L₁₁ =(to check: should be thesame with computed L)

Answer Degree of curve We are given 2πR360=distance per stationD In SI units distance per station…

Answered: Compute the degree of the curve (D),…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Compute the degree of the curve (D), tangent distance (T), length of the curve (Lc), and long chord of the horizontal curve. Also compute for the incremental chord distance (Linc), the deflection angles (∆n) and total chords (Ln) for each 2- meter station of the curve starting from PC. Round-off the computed values up to 3 decimal places.

GIVEN
(21R/360) = (distance per station/D)
T= R tan (1/2)
(21R/360) = (Lc/I)
L = 2R sin (1/2)
COMPUTING INCREMENTAL CHORD DISTANCES
(21R/360) = [distance per station/(2 8,)]
(eqn 5)
8n =
Linc = 2R sin (8n)
(eqn 6)
Line =
POINT
PC
A
B
COMPUTING DEGREE OF THE CURVE, TANGENT DISTANCE
LENGTH OF THE CURVE AND LONG CHORD
(eqn 1) | D =
(eqn 2) T=
(eqn 3)
Lc =
(eqn 4) L=
C
D
E
F
G
H
I
J
PT
COMPUTING DEFLECTION ANGLES AND TOTAL CHORD DISTANCES
LC₁ = distance between points
(21R/360) = (LCn/2An)
L2R sin (An)
STA
0+
0+
0+
0+
0+
———
0+___
0+---
0+
0+
0+___
0+
0+___
STA of PI = 0+010.580
An
using (eqn 7)
Measured from PC
R = 60 m
I = 20 degrees
A₁ =
A₂ =
A3 =
A4 =
As =
A6 =
A7 =
Δg =
A9 =
Διο =
Δ
(to check: should be the
same with 1/2)
11 =
(eqn 7)
(eqn 8)
Ln
L₁ =
L₂ =
L3 =
L₁ =
Ls =
using (eqn 8)
L6 =
L₂ =
Ls =
L9 =
L10 =
L₁₁ =
(to check: should be the
same with computed L)

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