Solving the Parabolic Tunnel Problem by Friday

  • Context: MHB 
  • Thread starter Thread starter Alelin
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SUMMARY

The discussion focuses on solving the Parabolic Tunnel Problem, specifically designing a tunnel that accommodates two lanes of traffic and the largest vehicles, which are trucks measuring 5m wide and 7m high. Participants emphasize the need to derive a parabolic equation that represents the tunnel's cross-section while ensuring adequate space for vehicle clearance. The equation must be suitable for implementation in spreadsheet software for calculations. Key considerations include the total width, which consists of the truck widths and additional side and middle spaces.

PREREQUISITES
  • Understanding of parabolic equations in coordinate geometry
  • Familiarity with algebraic manipulation for geometric applications
  • Basic knowledge of spreadsheet software for data representation
  • Concept of vehicle dimensions and spatial requirements for road design
NEXT STEPS
  • Research how to derive parabolic equations for tunnel cross-sections
  • Learn about geometric design principles for roadways and tunnels
  • Explore spreadsheet functions for modeling geometric shapes
  • Investigate safety regulations regarding vehicle clearance in tunnels
USEFUL FOR

Mathematicians, civil engineers, transportation planners, and anyone involved in geometric design and roadway construction will benefit from this discussion.

Alelin
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Hi I have to solve this problem by Friday
I have to draw a diagram to represent the tunnel on a coordinate number plane, and fix the equation of the parabola. Using algebra to coordinate geometry to determine the maximum width of the truck
the problem:
a tunnel is to be built to allow 2 lanes of traffic to pass from one side of a mountain to the other side (straight line no curves). the largest vehicle are trucks,which can be considered as rectangles 5m wide and 7m high.
Investigate the cross-section of a parabolic tunnel and find a "possible equation" to represent it. Allow some space so trucks do not bump into each other or the sides of the tunnel.
Please if you can help me to find the equation of the parabola to plug it into spreasheets it will be awesome coz I have tried in so many ways but it doesn't look good
 
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Re: I need help with excel

Well, start designing!

Width has 3 Parts
  • 2x Truck Width
  • 2x Side Space
  • 1x Middle Space

You'll have to decide the widths of the spaces.
 
Re: I need help with excel

Why didn't the solution I gave you http://www.mathhelpboards.com/f52/ales-question-yahoo-answers-regarding-tunnel-parabolic-cross-section-4872/ work?
 

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