Q: For the retaining wall shown in the following figure, determine the force per unit length of the wall for Rankine's active state. Also find the location of the resultant. 3 m 3 m 16 kN/m³ $' = 30° c' = 0 Groundwater table Ysat = 18 kN/m³ $' = 35° c' = 0

Assume a smooth retaining wall as shown below. Calculate the active force due to the earth pressure only acting on the right side of the wall in kN per unit length (considering a 1 m length in the out-of-plane direction). The soil properties shown in the figure apply to either side of the wall g = 9.81m/s2

4. A retaining wall shown in the figure, determine the Rankine Active force, Pa, per unit length of the wall and the location of the resultant. H = 10 ft, H1 = 5 ft, Y1 = 105 Ib/ft? , Y2 = 122 Ib/ft? , 01 = 30° , $2 = 30° Sand H1 Y1 ci = 0 Groundwater table Н Sand Y2 (saturated unit weight) c2 = 0 Frictionless wall

Q: The following figure shows a soil system supported by a 3m high retaining wall. This is normally consolidated soil and the wall has been restrained from yielding. Determine the lateral force Po, exerted by the soil system on per unit length of wall. [Yw = 9.81 kN/m³] H = 3m A B С c'=0 $ 20⁰ y = 15 kN/m 3 c'=0 Ø Y sat 20° 18 kN/m3 2m

For the wall shown in the figure: A) Calculate the distribution of pressures according to Rankine, assuming an active state. B) Calculate the Thrust and its point of application. q=2.0 ton/m2 ↓ ↓ ↓ ↓ ↓ ↓ Y = 1.60 ton/m3 ARENA Y' = 0.60 ton/m3 C = 0 ton/m2 = 33° NAF H1 2.0 m H2 = 8.0 m

3. Compute the resultant lateral force for the soil-wall system shown in Figure 3. You may ignore tensile cracks. Use • A- Coloumb • B - Rankine 0=30°, y=20kN/m³ 4m Ground water table 7m c=50KN/m², p=10°, y=18KN/m³ 0=25°, y=20KN/m³ 8 m Gravity wall Figure 3

The following figure shows a section of an anchored retaining wall embedded into a saturated stiff clay layer. The sand has a unit weight of = 18 kN/m³, c' = 0 kPa and o' = 34º. The clay has a unit weight of = 20 kN/m³, c₁ = 80 kPa and = 0°. A uniform pressure of 40 kPa is applied on the soil surface. The short term stability of the wall is considered in an undrained analysis. Use the Rankin's theory of lateral earth pressure to determine the active and passive horizontal stresses. You should apply the requirements of AS 4678 and the partial factors of safety method in estimation of soil pressures. Assume the soil is in-situ and use a structural classification factor of ₁ = 1. 3m 1m Water table 1.5m 40 kPa Not to Scale Sand Clay Ta

Assume a smooth retaining wall as shown below. Calculate the hydrostatic force acting on the right side of the wall in kN per unit length (considering a 1 m length in the out-of-plane direction). The soil properties shown in the figure apply to either side of the wall  g = 9.81m/s2

Wooden posts (E=1,800,000 psi) are used for a retaining wall, each post is 6in x 6in. If the soil pressure along a post varies linearly from zero at A to a maximum at B, determine the displacement at the top of the post. Assume B is fixed and A is free. Report your answer in inches to three decimal places.

4- A moderately curved channel with a slightly rounded non-cohesive bed material with a diameter of d50 = 25 mm carrying a discharge of 30 m³/s. The longitudinal slope of the channel is 0.001 and the side wall slopes are designed to be 60% of the angle of repose of the bed material Note: Use the Strikler's formula to calculate Manning's value. Use the Swammy and Mittal's formula to estimate the critical shear stress. Use the free board depth of 0.5m. a) Design the channel using the tractive force method for a Boly ratio of 20 b) Design the channel using the most efficient hydraulic section c) Discuss about the channel stability and erosion for both designs in parts a and b Strickler (Chow, 1959) proposed a correlation between the mean diameter of bed material, dso, and the Manning's coefficient as: n = 0.039d¹/6 Swamee and Mittal (1976) proposed an explicit equation to express the Sheild's curve defined as: 50 0.409d² 1/2 (1+0.177d² )¹/¹² T = 0.155+.