The cross section of a cantilever retaining wall is shown in Figure 1. Calculate the factors of safety with respect to overturning. Consider concrete unit weight 24KN/m³. 0.25 m Sand c = 0, Ø' = 30° Ysat= 18 kN/m³ 3 m 0.60 m 0.40m 0.3 m -2 m Figure 1

Civil engineering -Hydraulics

A masonry dam 4 m on top, 16 m at the bottom and 24 m high has water 21 m deep on its vertical side. Neglecting hydrostatic uplift, what is the vertical component of the resultant reaction force? Assume weight of masonry as 2,400 kg/m³.

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

Q3) A retaining structure is given in figure. Calculate the factor of safety against sliding. (Ignore tensile crack behavior inside active part and ground water condition. Take 1.0 m interval step for point load calculation. k₁= k₂= 0.9). 3.B m 2.C m Yn: 20.0 kN/m² D: 2Eº c: 30 kN/m² 0.5 m 0.5 m 1 3.0 m 5.0 m Y cone ➜ 5A0 KN Yn: 18.5 kN/m³ c: 18 kN/m² $: ID º 24.0 kN/m³

ANSWER SHOULD BE ANSWER KEY: 43) 14.2 MPa 44) 90 mm 45) 0.33 MPa

13. Provide a detailed step by step solution.