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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: ( a. The length of tangent with common direction. b. 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 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: ( a. The length of tangent with common direction. b. 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.

Structural Analysis
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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Question
### Problem 6 **Title**: Problem 6: Computation of Tangent and Curve Lengths **Description**: This problem involves two parallel tangents that are 20 meters apart and connected by a reversed curve. The chord length from the Point of Curve (P.C.) to the Point of Tangent (P.T.) is specified to be 120 meters. The objective is to compute the following: 1. **Length of Tangent with Common Direction** 2. **Equal Radius of the Reversed Curve** 3. **Stationing of the Point of Reversed Curve (P.R.C.)** - Given that the stationing of point A at the beginning of the tangent with a common direction is 2 + 240. **Note**: The text includes a placeholder with a green highlight which seems to be a reference or code, not directly related to the problem's calculations. **Graphical Representation (Explanation)**: - There are no graphs or diagrams provided in the text. However, if diagrams were present, they would likely show two parallel lines, 20 meters apart, joined by a reversed curve, and include: - Chord length between P.C. and P.T. as 120 meters. - Point A at the beginning of the tangent with a common direction. - Possible visual or numerical representation of the radii of the reversed curve and other critical measurements useful in solving the stated computations. **Steps for Computation**: 1. **Length of Tangent with Common Direction**: This would involve geometric calculations typically using trigonometry and properties of circles and tangents. 2. **Equal Radius of the Reversed Curve**: This would require solving equations involving radius and the given parallel distance. 3. **Stationing of P.R.C.**: Involves calculation based on given stationing data and adjusting for the geometry of the reversed curve layout. **Educational Use**: This problem is useful in courses related to civil engineering, surveying, and transportation engineering to understand concepts of road and railway curve design. ### Reference For further reading and similar problem-solving examples, refer to textbooks on surveying and geometric design or curved alignment in civil engineering.
Transcribed Image Text:### Problem 6 **Title**: Problem 6: Computation of Tangent and Curve Lengths **Description**: This problem involves two parallel tangents that are 20 meters apart and connected by a reversed curve. The chord length from the Point of Curve (P.C.) to the Point of Tangent (P.T.) is specified to be 120 meters. The objective is to compute the following: 1. **Length of Tangent with Common Direction** 2. **Equal Radius of the Reversed Curve** 3. **Stationing of the Point of Reversed Curve (P.R.C.)** - Given that the stationing of point A at the beginning of the tangent with a common direction is 2 + 240. **Note**: The text includes a placeholder with a green highlight which seems to be a reference or code, not directly related to the problem's calculations. **Graphical Representation (Explanation)**: - There are no graphs or diagrams provided in the text. However, if diagrams were present, they would likely show two parallel lines, 20 meters apart, joined by a reversed curve, and include: - Chord length between P.C. and P.T. as 120 meters. - Point A at the beginning of the tangent with a common direction. - Possible visual or numerical representation of the radii of the reversed curve and other critical measurements useful in solving the stated computations. **Steps for Computation**: 1. **Length of Tangent with Common Direction**: This would involve geometric calculations typically using trigonometry and properties of circles and tangents. 2. **Equal Radius of the Reversed Curve**: This would require solving equations involving radius and the given parallel distance. 3. **Stationing of P.R.C.**: Involves calculation based on given stationing data and adjusting for the geometry of the reversed curve layout. **Educational Use**: This problem is useful in courses related to civil engineering, surveying, and transportation engineering to understand concepts of road and railway curve design. ### Reference For further reading and similar problem-solving examples, refer to textbooks on surveying and geometric design or curved alignment in civil engineering.
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