PROBLEM 5: A compound curve has the following characteristics I₁ = 24⁰ D₁ = 6⁰ 1₂ = 36⁰ D₂ = 4° Stationing of PC= 10 +420 Determine the length of first curve Determine the length of second curve Determine the stationing of the point of compound curvature PCC Compute the stationing of PT

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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PROBLEM 5: A compound curve has the following characteristics
D₁ = 6⁰
I₁ = 24⁰
1₂ = 36⁰
D₂ = 4⁰
Stationing of PC= 10 +420
Determine the length of first curve
Determine the length of second curve
Determine the stationing of the point of compound curvature PCC
Compute the stationing of PT
PROBLEM 6: Two parallel tangents 20m apart are connected by a reversed curve. The chord length from
the P.C. to the P.T. equals 120m. Compute the following:
The length of tangent with common direction.
. Equal radius of the reversed curve.
c. The stationing of the P.R.C. if the stationing of A at the beginning of the tangent with common
direction is 2 + 240.
PROBLEM 7: Two tangents converge at an angle of 40°. The direction of the second tangent is due east.
The distance of the P.C. from the second tangent is 150m. The bearing of the common tangent is S 40° E.
Compute the following: (
a. Central angle of the first curve
b. If a reversed curve is to connect these two tangents, determine the common radius of the curve.
c. The stationing of the P.T. if P.C. is at sta. 11+820
Transcribed Image Text:PROBLEM 5: A compound curve has the following characteristics D₁ = 6⁰ I₁ = 24⁰ 1₂ = 36⁰ D₂ = 4⁰ Stationing of PC= 10 +420 Determine the length of first curve Determine the length of second curve Determine the stationing of the point of compound curvature PCC Compute the stationing of PT PROBLEM 6: Two parallel tangents 20m apart are connected by a reversed curve. The chord length from the P.C. to the P.T. equals 120m. Compute the following: The length of tangent with common direction. . Equal radius of the reversed curve. c. The stationing of the P.R.C. if the stationing of A at the beginning of the tangent with common direction is 2 + 240. PROBLEM 7: Two tangents converge at an angle of 40°. The direction of the second tangent is due east. The distance of the P.C. from the second tangent is 150m. The bearing of the common tangent is S 40° E. Compute the following: ( a. Central angle of the first curve b. If a reversed curve is to connect these two tangents, determine the common radius of the curve. c. The stationing of the P.T. if P.C. is at sta. 11+820
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