(Solved): Design a single-lane clover-leaf interchange ramp \( \left(R=R_{v}\right) \) to connect two highway ...

Design a single-lane clover-leaf interchange ramp \( \left(R=R_{v}\right) \) to connect two highways (north-south and east-west) that intersect at a right angle to allow eastbound traffic to go north (See figure below for clarification). The north-south highway is at a constant grade at elevation \( 565.5 \mathrm{ft} \). The east-west highway is at a constant grade above the north-south highway with a bridge structure depth of \( 6 \mathrm{ft} \) to the roadway surface. The elevation of the east-west roadway can be determined using the clearance height of \( 16.5 \mathrm{ft} \) recommended by AASHTO. The ramp is to consist of a horizontal curve starting on the east-west highway with a PC starting at station \( 49+60 \). For this ramp, a 12 percent superelevation is to be used with a \( 30 \mathrm{mi} / \mathrm{h} \) design speed. Question 1.a (16 points) What is the length of the ramp? (Hint: Use rounded radius from Table 3.5 and Eq. 3.39) Question 1.b (16 points) What is the minimum \( M_{s} \) for horizontal curve sight distance? (Hint: Use Eq. 3.42 and Table 3.1) Question 1.c (16 points) Draw the vertical alignment to connect the two highways (crest, constant grade section, sag) that starts at the \( \mathrm{PC} \) and ends at the PT of the horizontal curve.