Problem No. 1 A symmetrical parabolic curve connects two grades of 6% and -4%. It is to pass through a point "P"on the curve at station 25 +140 having an elevation of 98.34. If the elevation of the grade of intersection is 100m with a stationing of 25+ 160. Calculate thefollowing A Itthe curve a sag or a summit? B Length the curve C Stationing of the highest/lowest point on the curve.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

Hi! can someone help me answer these 3 problems, please. Thank you!

Problem No. 1
A symmetrical parabolic curve connects two grades of 6% and -4%. It is to pass
through a point "P"on the curve at station 25 + 140 having an elevation of 98.34. If the
elevation of the grade of intersection is 100m with a stationing of 25 + 160. Calculate
thefollowing
A. Itthe curve a sag or a summit?
B. Length the curve
C. Stationing of the highest/lowest point on the curve.
D. Eleavtion of station 25+ 120 on the curve.
PROBLEM NO. 2
A symmetrical parabolic curve passes through point A whose elevation is 23.23m at
a distance of 54m from the PC. The elevation of the PC at station 4 + 100 is 22.56.
The grade at the back tangent is +2% and length of the is 120 m. Compute the
following:
A. The grade of the forward tangent
B. Stationg and elevation of the highest point of the curve
Problem no. 3
A forward tangent having a slope of -4% intersects the back tangent having a
slope +7% at point V at stations 6 + 300 having an elevation of 230m. It is
required to connect the two tangents with an unsymmetrical parabolic curve
that shall pass through point A on the curve having the elevation of 227.57m at
station 6+ 270. The length of the curve on the side of the back tangent is 60m.
A. Determine the length of the curve on the side of the forward tangent.
B. Determine the stationing and elevation of the highest point on the
Curve.
Transcribed Image Text:Problem No. 1 A symmetrical parabolic curve connects two grades of 6% and -4%. It is to pass through a point "P"on the curve at station 25 + 140 having an elevation of 98.34. If the elevation of the grade of intersection is 100m with a stationing of 25 + 160. Calculate thefollowing A. Itthe curve a sag or a summit? B. Length the curve C. Stationing of the highest/lowest point on the curve. D. Eleavtion of station 25+ 120 on the curve. PROBLEM NO. 2 A symmetrical parabolic curve passes through point A whose elevation is 23.23m at a distance of 54m from the PC. The elevation of the PC at station 4 + 100 is 22.56. The grade at the back tangent is +2% and length of the is 120 m. Compute the following: A. The grade of the forward tangent B. Stationg and elevation of the highest point of the curve Problem no. 3 A forward tangent having a slope of -4% intersects the back tangent having a slope +7% at point V at stations 6 + 300 having an elevation of 230m. It is required to connect the two tangents with an unsymmetrical parabolic curve that shall pass through point A on the curve having the elevation of 227.57m at station 6+ 270. The length of the curve on the side of the back tangent is 60m. A. Determine the length of the curve on the side of the forward tangent. B. Determine the stationing and elevation of the highest point on the Curve.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 10 steps

Blurred answer
Knowledge Booster
Management of Labor
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning