(Solved): Figure below shows an anchored flexible retaining wall. The wall is frictionless and the soil abov ...

Figure below shows an anchored flexible retaining wall. The wall is frictionless and the soil above the water level is saturated. The following information is given: \[ \begin{array}{ll} \varphi^{\prime}=\left(28+\frac{X}{5}\right) \text { (degrees) } & H_{w}=3.5 \mathrm{~m} \\ \mathrm{c}=0 & \mathrm{H}_{a}=0.75 \mathrm{~m} \\ \mathrm{H}_{1}=\left(4+\frac{X}{5}\right) \mathrm{m} & \gamma_{s a t}=20 \mathrm{kN} / \mathrm{m3} \\ & \gamma_{w}=9.81 \mathrm{kN} / \mathrm{m3} \end{array} \] (a) Schematically draw the distribution of active and passive lateral pressures. Divide the pressure distributions into rectangle and triangle areas and show the point of action for each area. (b) Use factored strength method with factor of safety of 1.2. Set up a table for all the active and passive pressures (similar to the example in the lecture) and write the balance of moment about the level of the anchor. Find the embedment depth, \( \mathbf{d} \) in \( \mathrm{m} \). (c) Find the design anchor force. Use proper formula for Ka and Kp. Do not read from graphs.