Worksheets/Civil Engineering Road Planning

Notes

• Civil engineering application of Simpson's Rule to centroids
• Building a highway going through a town
• Cross-sectional design of highway - arc length, volume, centroids
• Design of highway: top X rectangle is asphalt, bottom X rectangle plus cut-out half-circle is concrete, coord system has split down middle
• Curve design is a piecewise curve. Given a set of formulas.
• Use Simpson's Rule to compute the x and y centroids of the highway shape (Figure). Assume density of materials is same and is 2400 kg/m3.
• Use Simpson's Rule to compute the arc length of the road, and report the total length in ft.
• Highway standards require a minimum lane width of 15 feet, 10 feet for side shoulder, 5 feet for inner shoulder, 3 lanes both directions. Total width of X.
• Use Simpson's Rule to find the total volume of asphalt, volume of concrete required (use Pappus' Theorem to obtain the volume via V = A * length traveled)

Resources

Federal Highway Administration: http://safety.fhwa.dot.gov/geometric/pubs/mitigationstrategies/chapter3/3_lanewidth.cfm

Wikipedia Lane: https://en.wikipedia.org/wiki/Lane