Coordinates of some line
highway, elevation formula (curve, vertical curve, circular curve, ramp)
one point on Curve Coordinate Calculation
known: ① ZH Curve points from any point on the length: l
② circular curve radius: R
③ transition curve length: l0
④ steering angle coefficient: K (1 or -1)
⑤ azimuth tangent points over ZH: α
ZH
⑥ point coordinates: xZ, yZ
calculation:
Description: When the curve for the left steering, K = 1, for the right steering, K =- 1,
formula n values are as follows:
when calculating the second coordinates of points on the transition curve, then:
l is the length of the point HZ
HZ
α is the tangent through the point plus 180 ° azimuth
K value and the reverse calculation of the first transition curve
xZ, yZ coordinates for the point of HZ
tangent angle formula:
Second, the circular curve point coordinates calculated
known: ① ZH circular curve points from any point on the length: l
② circular curve radius: R
③ transition curve length: l0
④ steering angle coefficient: K (1 or -1)
⑤ azimuth tangent points over ZH: α
ZH
⑥ point coordinates: xZ, yZ
calculation:
Description: When the curve for the left steering, K = 1, for the right steering, K =- 1,
formula n values are as follows:
HZ
When only know the coordinates of points, then:
l is the length of the point HZ
HZ
α is the tangent through the point plus 180 ° azimuth
K value and know when the opposite point coordinates ZH
xZ, yZ coordinates for the point of HZ
three factor formula curve
Description of the symbols
formula:
l - any point to the starting point of the curve length (or slow song slow song at any point to the starting point of the length)
l1 - the length of the first transition curve
l2 - length of the second transition curve
l0 - corresponding to the length of transition curve
R - radius of circular curve
R1 - starting at the radius of the curve
R2 - at the end of the radius curves
P1 - the starting point of the curvature curve
P2 - at the end of the curvature of curve
α - angle value curve
IV calculated vertical elevation of the curve
known: ① the first grade: i1 (uphill for the
② The second slope: i2 (uphill for the
③ Change Point Stake: SZ
④ Change Point Elevation: HZ
⑤ tangent vertical curve length: T
Stake the unknown point
⑥: S
calculation:
five, high ease the transition section of the cross slope calculations
known: figure,
first cross slope: i1
second cross slope: i2
transition length: L
be seek the cross slope from the second point (end of transition section) of the distance: x
requirements: be at the cross slope requirements: i
Solution: d = x / L
i = (i2-i1) (1-3d2 +2 d3) + i1
six coordinate calculation ramp
known: ① the unknown point Stake: K
② curve starting Stake: K0
③ curve end Stake: K1
④ curve point coordinates: x0, y0
⑤ curve tangent point azimuth: α0
⑥ curve of the starting point of curvature: P0 (left as
⑦ curve at the end of the curvature: P1 (turn left as
requirements: ① line coordinates of points on the ramp: x, y
② the tangent point of the unknown azimuth: αT
calculation:
Note: sgn (x) function is to take the sign function, when x <0 时 sgn (x) =- 1, when x> 0 时 sgn (x) = 1, when x = 0, sgn (x) = 0. In the calculator, if this function can be compiled program instead of a kid.
Reprinted from: Highway line (curve, vertical curve, circular curve, ramp) coordinates the formula .
highway, elevation formula (curve, vertical curve, circular curve, ramp)
one point on Curve Coordinate Calculation
known: ① ZH Curve points from any point on the length: l
② circular curve radius: R
③ transition curve length: l0
④ steering angle coefficient: K (1 or -1)
⑤ azimuth tangent points over ZH: α
ZH
⑥ point coordinates: xZ, yZ
calculation:
Description: When the curve for the left steering, K = 1, for the right steering, K =- 1,
formula n values are as follows:
when calculating the second coordinates of points on the transition curve, then:
l is the length of the point HZ
HZ
α is the tangent through the point plus 180 ° azimuth
K value and the reverse calculation of the first transition curve
xZ, yZ coordinates for the point of HZ
tangent angle formula:
Second, the circular curve point coordinates calculated
known: ① ZH circular curve points from any point on the length: l
② circular curve radius: R
③ transition curve length: l0
④ steering angle coefficient: K (1 or -1)
⑤ azimuth tangent points over ZH: α
ZH
⑥ point coordinates: xZ, yZ
calculation:
Description: When the curve for the left steering, K = 1, for the right steering, K =- 1,
formula n values are as follows:
HZ
When only know the coordinates of points, then:
l is the length of the point HZ
HZ
α is the tangent through the point plus 180 ° azimuth
K value and know when the opposite point coordinates ZH
xZ, yZ coordinates for the point of HZ
three factor formula curve
Description of the symbols
formula:
l - any point to the starting point of the curve length (or slow song slow song at any point to the starting point of the length)
l1 - the length of the first transition curve
l2 - length of the second transition curve
l0 - corresponding to the length of transition curve
R - radius of circular curve
R1 - starting at the radius of the curve
R2 - at the end of the radius curves
P1 - the starting point of the curvature curve
P2 - at the end of the curvature of curve
α - angle value curve
IV calculated vertical elevation of the curve
known: ① the first grade: i1 (uphill for the
② The second slope: i2 (uphill for the
③ Change Point Stake: SZ
④ Change Point Elevation: HZ
⑤ tangent vertical curve length: T
Stake the unknown point
⑥: S
calculation:
five, high ease the transition section of the cross slope calculations
known: figure,
first cross slope: i1
second cross slope: i2
transition length: L
be seek the cross slope from the second point (end of transition section) of the distance: x
requirements: be at the cross slope requirements: i
Solution: d = x / L
i = (i2-i1) (1-3d2 +2 d3) + i1
six coordinate calculation ramp
known: ① the unknown point Stake: K
② curve starting Stake: K0
③ curve end Stake: K1
④ curve point coordinates: x0, y0
⑤ curve tangent point azimuth: α0
⑥ curve of the starting point of curvature: P0 (left as
⑦ curve at the end of the curvature: P1 (turn left as
requirements: ① line coordinates of points on the ramp: x, y
② the tangent point of the unknown azimuth: αT
calculation:
Note: sgn (x) function is to take the sign function, when x <0 时 sgn (x) =- 1, when x> 0 时 sgn (x) = 1, when x = 0, sgn (x) = 0. In the calculator, if this function can be compiled program instead of a kid.
Reprinted from: Highway line (curve, vertical curve, circular curve, ramp) coordinates the formula .
No comments:
Post a Comment