Beam Analogy for Vertical Curves

by A. Abdul-Shafi, Assoc. Prof.; Dept. of Civ. Engrg., South Dakota State Univ., Brookings, SD 57007,

Serial Information: Civil Engineering—ASCE, 1985, Vol. 55, Issue 12, Pg. 56-57

Document Type: Feature article


The vertical curve is analyzed as a moment diagram for a uniformly loaded single beam with a concentrated moment at one end. This contributes some flexibility in approach, and enhances efficienty of solving the curve. It also renders analysis of vertical curves a familiar process to a wider circle of engineers, and makes it less likely to be forgotten, especially by those who encounter these curves only occasionally.

Subject Headings: Curved beams | Moment (mechanics) | Curvature | Concentrated loads | Vertical loads

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