Situation 1] A circular road is proposed to be laid out with tangent AB whose bearing is N8Z°54'E intersecting another tangent line BC whose bearing is N4Y°30'E. If the degree of the curve is 4.5°, using arc basis, determine the following: Tangent distance of the curve, T ii. i. Long chord of the curve, C Middle ordinate, M External distance, E Length of the road, LC If the station of point B 10+XYZ, determine the station of PT. ii. iv. V. vi.
Situation 1] A circular road is proposed to be laid out with tangent AB whose bearing is N8Z°54'E intersecting another tangent line BC whose bearing is N4Y°30'E. If the degree of the curve is 4.5°, using arc basis, determine the following: Tangent distance of the curve, T ii. i. Long chord of the curve, C Middle ordinate, M External distance, E Length of the road, LC If the station of point B 10+XYZ, determine the station of PT. ii. iv. V. vi.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Situation 1
X - 6
Y - 9
Z - 7
![Situation 1] A circular road is proposed to be laid out with tangent AB whose bearing is
N8Z°54'E intersecting another tangent line BC whose bearing is N4Y030'E. If the degree of the
curve is 4.5°, using arc basis, determine the following:
i.
Tangent distance of the curve, T
ii.
Long chord of the curve, C
Middle ordinate, M
External distance, E
Length of the road, LC
If the station of point B 10+XYZ, determine the station of PT.
ii.
iv.
V.
vi.
Situation 2] A simple curve having a radius of 23Z.0 m has tangents of N28.X°E and N66.0°E. A
line running parallel to the first tangent crosses the centerline of the curve at a distance 10
meters away from the first tangent. If chainage of station PC is 17+ZYX,
i.
What is the deflection angle at the point of intersection of the line and the simple
curve measured from PC?
ii.
What is the chainage of the point of intersection?
ii.
Compute the chord distance from PC to the point of intersection of the line and the
curve.
Situation 3] The bearing of the first tangent of a simple curve is N70.X°E while the second
tangent has a bearing of S82°3Z'E. The degree of curve is 4.5° and chainage of PC is 3+XY. It
is proposed to decrease the central angle by an angle of 7° by changing the direction of the
second tangent, in such a way that the position of PT and the direction of the first tangent shall
remain unchanged. Determine the following:
i.
New angle of intersection, I'.
ii.
New radius of the curve, R'.
ii.
New chainage of station PC.
Situation 4] Two tangents that intersect at an angle of 4X°40' are to be connected by a
compound curve consisting of a 4.1° curve and a 5.5° curve. If the tangent at the beginning of
the curve to the point of intersection of the tangent is 110 m long,
i.
Compute the central angle of the first curve, lı.
ii.
Compute the central angle of the second curve, l2.
ii.
Compute the length of the tangent from the end of the 5.5°-curve to the point of
intersection of the tangents.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3482d766-c0bf-4b78-bebc-8b6c1dd4bd85%2F656b2a7e-28e9-4088-bf91-dccab7a738fd%2Fpufaxz3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Situation 1] A circular road is proposed to be laid out with tangent AB whose bearing is
N8Z°54'E intersecting another tangent line BC whose bearing is N4Y030'E. If the degree of the
curve is 4.5°, using arc basis, determine the following:
i.
Tangent distance of the curve, T
ii.
Long chord of the curve, C
Middle ordinate, M
External distance, E
Length of the road, LC
If the station of point B 10+XYZ, determine the station of PT.
ii.
iv.
V.
vi.
Situation 2] A simple curve having a radius of 23Z.0 m has tangents of N28.X°E and N66.0°E. A
line running parallel to the first tangent crosses the centerline of the curve at a distance 10
meters away from the first tangent. If chainage of station PC is 17+ZYX,
i.
What is the deflection angle at the point of intersection of the line and the simple
curve measured from PC?
ii.
What is the chainage of the point of intersection?
ii.
Compute the chord distance from PC to the point of intersection of the line and the
curve.
Situation 3] The bearing of the first tangent of a simple curve is N70.X°E while the second
tangent has a bearing of S82°3Z'E. The degree of curve is 4.5° and chainage of PC is 3+XY. It
is proposed to decrease the central angle by an angle of 7° by changing the direction of the
second tangent, in such a way that the position of PT and the direction of the first tangent shall
remain unchanged. Determine the following:
i.
New angle of intersection, I'.
ii.
New radius of the curve, R'.
ii.
New chainage of station PC.
Situation 4] Two tangents that intersect at an angle of 4X°40' are to be connected by a
compound curve consisting of a 4.1° curve and a 5.5° curve. If the tangent at the beginning of
the curve to the point of intersection of the tangent is 110 m long,
i.
Compute the central angle of the first curve, lı.
ii.
Compute the central angle of the second curve, l2.
ii.
Compute the length of the tangent from the end of the 5.5°-curve to the point of
intersection of the tangents.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning