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Coulomb step ahead of Rankine

Short answer

Coulomb’s theory includes wall friction δ, adhesion, and allows inclined backfill and wall, giving a more realistic thrust direction. Rankine assumes a smooth vertical wall, horizontal or uniformly sloping backfill, and thrust parallel to the surface. Coulomb thus removes Rankine’s limitations for rough, inclined walls and irregular ground.

How is Coulomb's theory a step ahead of Rankine's theory for calculating earth pressure? Justify your answer in reference to the limitations of Rankine's theory.

Rankine's theory is limited because it assumes a smooth, vertical wall back (no wall friction), a horizontal or uniformly sloping backfill, and a thrust parallel to the backfill surface. It cannot deal with an inclined wall back, a broken ground surface or a rough wall, and its fixed thrust direction does not match the real direction on a rough wall.

Coulomb's wedge theory removes these limits:

  • It includes wall friction (δ\delta) and wall adhesion, so the result is more realistic for rough concrete or masonry walls.
  • It allows an inclined wall back and a sloping backfill.
  • The thrust direction (at δ\delta to the normal to the wall) is obtained, and loads such as surcharge and line loads can be included through the wedge weight (and the Culmann graphical method).
  • It handles irregular ground surfaces.

Hence Coulomb's theory is more general and gives a more accurate active thrust, so it is a step ahead of Rankine's.

✓ Answer checked by Claude Sonnet 5.5

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