CHAPTER 3, Part 1 - Problem 2: A new one-way on-ramp will be constructed from US-460 to Southgate Dr south in Blacksburg and will consist of a combined sag and crest curve with a design speed of 45 mph. The combined crest and sag curve connects a 0% grade to a +2.0 grade and meets at a -3% common grade. For this project, PVC CREST is at Station 0+00.0. For the crest curve, check the last two paragraphs of section 3.3.3 in the text. (A) Calculate the following values: о Acrest, Lmincrest, ASAG, LminSAG, Total Lmin о PVC CREST, PVI CREST, PVT CREST, PVCSAG, PVISAG, PVT SAG (note that PVC, PVI, and PVT values are in stations) (B) Label the following variables and given/calculated values (ie PVCcrest = 0+00.0) on the figure below. Note that the diagram is exaggerated and not to scale. (You can download the png file here)✓ For Crest curve: . PVC, PVI, PVT G1 and G2 . Lmin For Sag curve: PVC, PVI, PVT . G1 and G2 Lmin For total combined curve: о Lmin TOTAL height Begnning of combined curve End of combined curve • Calculate the stations of the lowest and highest points on the combined curve 。 Calculate the height difference between PVCCREST and PVTSAG. (C) Thinking about Stopping Sight Distance (SSD), answer the following: 。 Determine what the design SSD is for the combined curve. • Is the length of the combined curve greater or less than SSD? To be conservative, which would you use?

Structural Analysis
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Chapter2: Loads On Structures
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CHAPTER 3, Part 1 - Problem 2:
A new one-way on-ramp will be constructed from US-460 to Southgate Dr south in Blacksburg and will consist of a combined sag and crest curve with
a design speed of 45 mph. The combined crest and sag curve connects a 0% grade to a +2.0 grade and meets at a -3% common grade. For this project,
PVC CREST is at Station 0+00.0. For the crest curve, check the last two paragraphs of section 3.3.3 in the text.
(A) Calculate the following values:
о
Acrest, Lmincrest, ASAG, LminSAG, Total Lmin
о
PVC CREST, PVI CREST, PVT CREST, PVCSAG, PVISAG, PVT SAG (note that PVC, PVI, and PVT values are in stations)
(B) Label the following variables and given/calculated values (ie PVCcrest = 0+00.0) on the figure below. Note that the diagram is exaggerated and not
to scale. (You can download the png file here)✓
For Crest curve:
.
PVC, PVI, PVT
G1 and G2
.
Lmin
For Sag curve:
PVC, PVI, PVT
.
G1 and G2
Lmin
For total combined curve:
о
Lmin TOTAL
height
Begnning of combined curve
End of combined curve
• Calculate the stations of the lowest and highest points on the combined curve
。 Calculate the height difference between PVCCREST and PVTSAG.
(C) Thinking about Stopping Sight Distance (SSD), answer the following:
。 Determine what the design SSD is for the combined curve.
• Is the length of the combined curve greater or less than SSD? To be conservative, which would you use?
Transcribed Image Text:CHAPTER 3, Part 1 - Problem 2: A new one-way on-ramp will be constructed from US-460 to Southgate Dr south in Blacksburg and will consist of a combined sag and crest curve with a design speed of 45 mph. The combined crest and sag curve connects a 0% grade to a +2.0 grade and meets at a -3% common grade. For this project, PVC CREST is at Station 0+00.0. For the crest curve, check the last two paragraphs of section 3.3.3 in the text. (A) Calculate the following values: о Acrest, Lmincrest, ASAG, LminSAG, Total Lmin о PVC CREST, PVI CREST, PVT CREST, PVCSAG, PVISAG, PVT SAG (note that PVC, PVI, and PVT values are in stations) (B) Label the following variables and given/calculated values (ie PVCcrest = 0+00.0) on the figure below. Note that the diagram is exaggerated and not to scale. (You can download the png file here)✓ For Crest curve: . PVC, PVI, PVT G1 and G2 . Lmin For Sag curve: PVC, PVI, PVT . G1 and G2 Lmin For total combined curve: о Lmin TOTAL height Begnning of combined curve End of combined curve • Calculate the stations of the lowest and highest points on the combined curve 。 Calculate the height difference between PVCCREST and PVTSAG. (C) Thinking about Stopping Sight Distance (SSD), answer the following: 。 Determine what the design SSD is for the combined curve. • Is the length of the combined curve greater or less than SSD? To be conservative, which would you use?
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