ILLUSTRATIVE EXAMPLES 1. A grade of 4,2% grode intersech a grode of +3.0% at Station 11 + 488.00 of elevations 20.80 meters. These two center gradelines are to be connected by a 260 meter vertical parabolic curve. a) Al what station is the cros drainage pipes be situated bị it the overal outside dimensions of the reintorced concrete pipe to be instoled is 95 cm. and the top of the culvert is 30 cm below the subgrade, what wil be the invert elevation at the centert From the grade diagram 200 0,042 0.042+ 0.03 S = 151.67 m 130 m 130 m 1.2% PI Sta 11+488 Elev 20.80 Lowest point 0.03 0.03 d- S,- 130 - 151.07 - 130 d= 21.67 m The eross-drainage pipe should be at the lowest point of the eurve. Stationing of the lowest point indicated as point A in the figure: Sta A = Sta PI +d Sta A= 11488 +21.67 = 11509.67 Sta A= 11+500.67 km

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
Resolve the #1 illustrative problem using the equations for a parabola. (y=Ax²+Bx+C) Note: Your solution should not include the use of the grade diagram for the required. (#1a & #1b, & #2)
ILLUSTRATIVE EXAMPLES
1. A grade of -4.2% grode intersects a gode of +3.0% at Station 11 + 488.00 of
eievations 20.80 meters, These two center gradelines are le be connected by a 260
meter vertical paratiolic cutve.
a) At what station is the cros-drainage pipes be situated?
Dị it the overal outside dimensiors ol the reintorced concrete pipe to be instaled is
75 cm. and the top of the culvert is 30 cm below the subgrade, what wl be the
invert elevation at the center?
From the grade diagram:
200
0,042 +0.03
0,042
S = 151.67 m
130 m
130 m
S
PT
4.2%
PI Sta 11+488
E Iv 20.80
Lowest point
S
0.03
0.042
0.03
d- S - 130 - 151,07 - 130
d= 21.67 m
The cross-drainage pipe should be at the lowest point of the eurve. Stationing of the
lowest point indicated as point A in the figure:
Sta A = Sta PI + d
Sta A= 11488 +21.67 = 11509.67
Sta A = 11+500.67 km
Transcribed Image Text:ILLUSTRATIVE EXAMPLES 1. A grade of -4.2% grode intersects a gode of +3.0% at Station 11 + 488.00 of eievations 20.80 meters, These two center gradelines are le be connected by a 260 meter vertical paratiolic cutve. a) At what station is the cros-drainage pipes be situated? Dị it the overal outside dimensiors ol the reintorced concrete pipe to be instaled is 75 cm. and the top of the culvert is 30 cm below the subgrade, what wl be the invert elevation at the center? From the grade diagram: 200 0,042 +0.03 0,042 S = 151.67 m 130 m 130 m S PT 4.2% PI Sta 11+488 E Iv 20.80 Lowest point S 0.03 0.042 0.03 d- S - 130 - 151,07 - 130 d= 21.67 m The cross-drainage pipe should be at the lowest point of the eurve. Stationing of the lowest point indicated as point A in the figure: Sta A = Sta PI + d Sta A= 11488 +21.67 = 11509.67 Sta A = 11+500.67 km
Vertical distaner between PC and PI:
a= 130(0.042)
a=5,46 m
Vertical distance between PCand the lowest point A:
A, = 5,(0.042) - ja51.67)(0.042)
A, = 3.18 m
Elevation of the lowest point A:
Elev A- Elev PI+a- A,
Elev A 20.80 +5.46 - 3.18
Elev A= 23.08 m
PC
PT
0.30 m
0.95 m
Invert
Transcribed Image Text:Vertical distaner between PC and PI: a= 130(0.042) a=5,46 m Vertical distance between PCand the lowest point A: A, = 5,(0.042) - ja51.67)(0.042) A, = 3.18 m Elevation of the lowest point A: Elev A- Elev PI+a- A, Elev A 20.80 +5.46 - 3.18 Elev A= 23.08 m PC PT 0.30 m 0.95 m Invert
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Surveys of public lands
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
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