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To calculate the maximum height of the wall if no tension is allowed, we need to ensure that the resultant normal force acts within the middle third of the base. For a retaining wall, the critical con

Physics

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To calculate the maximum height of the wall if no tension is allowed, we need to ensure that the resultant normal force acts within the middle third of the base. For a retaining wall, the critical condition for no tension at the heel (the side with water) is that the resultant force acts at a distance of B/3B/3 from the toe (the dry side).

Let's define the parameters:

  • Base of the wall, B=6B = 6 m
  • Density of the wall material, ρw=2400 kg/m3\rho_w = 2400 \text{ kg/m}^3
  • Density of water, ρf=1000 kg/m3\rho_f = 1000 \text{ kg/m}^3
  • Acceleration due to gravity, $g =
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