Chapter 14, Problem 14.10P

For the braced cut described in Problem 15.16, assume that all = 170 MN/m2. a. Determine the sheet pile section (section modulus) b. What is the section modulus of the wales at level A? 15.16 Refer to the braced cut in Figure 15.50, for which = 17 kN/m3, = 30, and c = 0. The struts are located at 3 m on center in the plan. Draw the earth pressure envelope and determine the strut loads at levels A, B, and C. FIG. 15.50

A 5 m wide braced excavation is made in a saturated clay, as shown in Figure P19.1, with the following properties: c = 20 kN/m2, = 0, and = 18.5 kN/m3. The struts are spaced at 5 m center to center in plan. a. Determine the strut forces. b. Determine the section modulus of the sheet pile required, assuming all = 170 MN/m2. c. Determine the maximum moment for the wales at levels B and C.

A retaining wall 6 m high supports cohesionless soil having a dry density of 1600 kg/m³, angle of resistance 32 and void ratio of 0.68. The surface of the soil is horizontal and level with the top of the wall. Neglecting wall friction and using Rankine’s formula for active pressure of a cohesionless soil. 1. Determine the nearest value of the total earth thrust on the wall in KN per lineal meter if the soil is dry.  a. 73.1 b. 86.7 c. 62.4 d. 98.1 2. Find the nearest value of the thrust on the wall in KN per lineal meter if owing to inadequate drainage, it is waterlogged to a level of 3.5 m below the surface. a. 112 b. 171 c. 147 d. 153 3. Find at what height above the base of the wall the thrust acts during the waterlogged condition. a. 2.21 m b. 2.00 m c. 1.74 m d. 1.42 m

A retaining wall 7 m high, with its back face smooth and vertical. It retains sand with its surface horizontal. Using Rankine’s theory, determine the active earth pressure at the base when the backfill is submerged with water table at the surface. Take γ=18 kN/m^3 ,ϕ=30°, γ_sat=21 kN/m^3.

45.) A retaining wall supports a horizontal backfill that is composed of two types of soil. First layer: 5.91 meters high, Unit weight of 17.26 kN/m3, coefficient of active pressure of 0.291 Second layer: 5.36 meters high, Unit weight of 18.85 kN/m3, coefficient of active pressure of 0.301 Determine the distance of the total active force measured from the bottom of the wall. Round off to three decimal places.

Problem #1 The figure below shows a cantilever sheet-pile wall penetrating a granular soil. Here, L1 = 4 m, L2 = 8 m, unit weight above water table= 16.1 kN/m3, saturated unit weight = 5 18.2 kN/m3, and friction angle of sand = 32 degrees. a. What is the theoretical depth of embedment, D? b.    For a 30% increase in D, what should be the total length of the sheet piles? c.    Determine the theoretical maximum moment of the sheet pile. d.    If the allowable flexural stress = 170 MPa, compute the required section modulus of the sheet pile.