Vertical CurvesK values for crests and for sags.Civil EngineeringA vertical curve is sized by K, the length of curveneeded for each one per cent change of grade.L = K × A · A = difference in grade, %K 55, A 4%L = 220 mCrest curve.Crest curveSight distance governsYou cannot see over.Sag curveHeadlights or comfortThe night case.THE COMMON MISTAKESizing a sag for daylight sight distanceSag is headlight or comfortOn a sag the road ahead stays visible by day. What binds is the headlight beamreaching far enough at night, and vertical acceleration.Educational reference. K values come from the governing geometricstandard for the road class and design speed.Vertical Curveslearnposters.com
Vertical Curves — printable engineering wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Vertical Curves poster

The rule, 3 worked examples, and the mistake everyone makes.

Educational reference. K values come from the governing geometric standard for the road class and design speed.

Questions about the Vertical Curves poster

What’s on the Vertical Curves poster?
The rule, 3 worked examples, and the mistake everyone makes. A vertical curve is sized by K, the length of curve needed for each one per cent chan…; L = K × A · A = difference in grade, %; K 55, A 4% = L = 220 m; Crest curve = Sight distance governs; Sag curve = Headlights or comfort; Common mistake: Sizing a sag for daylight sight distance → Sag is headlight or comfort. Educational reference. K values come from the governing geometric standard for the road class and design speed.
Who is the Vertical Curves poster for?
Vertical Curves belongs to the Civil Engineering section rather than to a school year, because engineering is not something one grade owns. Anyone learning transportation can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Vertical Curves poster?
Fixing a vertical alignment where two grades meet. A wall chart earns its place by being glanceable from where the work is happening, so Vertical Curves belongs on the wall where that engineering work actually happens, within glancing distance, rather than filed away.
What other posters go with Vertical Curves?
CBR & Subgrade, Road Cross Section and Mass Haul sit alongside Vertical Curves in the Civil Engineering section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.CBR & SubgradeRoad Cross SectionMass Haul
Is the Vertical Curves poster free to download and print?
Yes. Vertical Curves downloads as a free PDF with no account, no email and no watermark, like everything else in the Civil Engineering section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Vertical Curves poster print at?
Vertical Curves is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Vertical Curves loses nothing.Printing guide

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