An existing tunnel needs to be connected to a newly constructed bridge with sag and crest vertical curves. The profile view of the tunnel and bridge is shown in Figure 3. Develop a vertical alignment to connect the tunnel and bridge by determining the highest possible common design speed for the sag and crest (equal-tangent) vertical curves needed. Compute the stationing and elevations of PVC, PVI, and PVT curve points. PUIC しS Ştation 13 + 50 PVT. Bridge deck elevation 165 ft PUTS PACS Tunnel floor elevation 100 ft Station 0 + 00, PVC, Lc Figure 3- Profile view of tunnel and bridge layout (figure modified from Mannering & Washburn, 7th ed.

Structural Analysis
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Chapter2: Loads On Structures
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I need help with the one asking about the smallest connecting grade. 

An existing tunnel needs to be connected to a newly constructed bridge with sag and crest vertical
curves. The profile view of the tunnel and bridge is shown in Figure 3. Develop a vertical alignment to
connect the tunnel and bridge by determining the highest possible common design speed for the sag
and crest (equal-tangent) vertical curves needed. Compute the stationing and elevations of PVC, PVI,
and PVT curve points.
PVIC
Ştation 13 + 50 PVT.
Bridge deck
elevation
TUTS PAC
Tunnel floor
165 ft
elevation 100 ft
Station 0 + 00, PVC,
Figure 3- Profile view of tunnel and bridge layout (figure modified from Mannering & Washburn, 7th ed.)
Transcribed Image Text:An existing tunnel needs to be connected to a newly constructed bridge with sag and crest vertical curves. The profile view of the tunnel and bridge is shown in Figure 3. Develop a vertical alignment to connect the tunnel and bridge by determining the highest possible common design speed for the sag and crest (equal-tangent) vertical curves needed. Compute the stationing and elevations of PVC, PVI, and PVT curve points. PVIC Ştation 13 + 50 PVT. Bridge deck elevation TUTS PAC Tunnel floor 165 ft elevation 100 ft Station 0 + 00, PVC, Figure 3- Profile view of tunnel and bridge layout (figure modified from Mannering & Washburn, 7th ed.)
Consider the conditions described in the previous problem. Suppose that a design speed of only 35 mi/h
is needed. Determine the lengths of curves required to connect the bridge and tunnel while keeping the
connecting grade as small as possible.
Station 13 + 50 PVT
Bridge deck
elevation
165 ft
Tunnel floor
elevation 100 ft
G con
Station 0 + 00, PVC,
Figure 4- Profile view with constant grade section
Transcribed Image Text:Consider the conditions described in the previous problem. Suppose that a design speed of only 35 mi/h is needed. Determine the lengths of curves required to connect the bridge and tunnel while keeping the connecting grade as small as possible. Station 13 + 50 PVT Bridge deck elevation 165 ft Tunnel floor elevation 100 ft G con Station 0 + 00, PVC, Figure 4- Profile view with constant grade section
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