Consider a 15 m long concrete pile with a cross section of 0.45 m x 0.45 m fully embedded in sand.For the sand, unit weight, γ = 17 kN/m3 and soil friction angle, ϕ’ = 35o. Estimate the ultimate point??? with each of the following:1.1 Meyerhof’s method (Ans: 1014 kN)1.2 Vesic’s method (Ans: 1754 kN)1.3 Coyle and Castello’s method (Ans: 2479 kN)

A construction project of cantilever sheet pile penetrating saturated clay is designed to form a sheet pile wall along a riverbank as shown in Figure C. Determine: i. - ii. The theoretical and actual depth of penetration by using Dactual = 1.5D theory The maximum size of sheet pile section necessary by using all = 172.5 MN/m². Sand A y=16 kN/m³ c' = 0 2m Water table p=32 Sand Ysat 19.35 kN/m³ c' = 0 4'=32 Clay Vsat 19.35 kN/m³ c′ = 46.9 kN/m² 3m Figure C E B Riverbed

Problem #1 A 20-m-long concrete pile is shown Below. Estimate the ultimate point capacity Op by: a. Meyerhof's method b. Vesic's method c. Coyle and Castello's method Use m= 600 in Eq. (9.26). Estimate the side resistance Qs by: a. Using Eqs. (9.40) through (9.42). Use K = 1.5 and 8 = 0.60 b. Coyle and Castello's method [Eq. (9.44)] l-20 m Concrete pile 460 mm X 460 mm Loose sand $₁ = 30° y = 18.6 kN/m³ 18.6x2 = 372 kr/m² Dense sand $2 = 36 y = 18.5 kN/m²

A driven closed-ended pile, circular in cross section, is shown in Figure P9.4. Calculate the following. a. The ultimate point load using Meyerhof's procedure. d. The ultimate frictional resistance Q,. [Use Eqs. (9.40) through (9.42), and take K = 1.4 and 8' = 0.64'.] e. The allowable load of the pile (use FS = 4). Y - 15.7 kN/m = 32 Groundwater table Yu - 18.2 kN/m³ d= 32 Yu - 19.2 kN/m³ = 40 15 m 381 mm Figure P9.4

4. For the cantilever sheet pile wall, compute the depth of Embedment of sheet pile by the approximate method. T 3 m 3 m D 3 Y = 1.9 t/m³ = 30° Y' = 1.0 t/m³ = 30°

Answer the following questions – showing in order, complete and correct handwritten solutions. Use one bond paper per problem and follow necessary formats. 1. Refer to the pile shown in the figure. Estimate the side resistance when K = 1.3 and 8'=0.8Ø Concrete pile 356 mm x 356 mm Loose sand di = 30 y= 17.5 kN/m 12 m Dense sand d = 42" y = 18.5 kN/m 2. Consider a pipe pile havıng an outside diameter of 500mm. The embedded length of the pile in layered saturated clay Is 22m. The followng are the details of the subsoil: Cu, kPa Depth from ground surface (m) Saturated unit weight, kN/m3 0-3 16 25 3-10 17 43 10-30 18 85 Compute for the pile tıp capacıty by a) Meyerhof's and b) Vesic's

11.22 A concrete pile measuring 0.406 m X 0.406 m in cross section is 18.3 m long. It is fully embedded in a layer of sand. The following is an approximation of the me- chanical cone penetration resistance (q.) and the friction ratio (F) for the sand layer. Estimate the allowable bearing capacity of the pile. Use FS = 4. Depth below ground surface (m) 9. (kN/m²) F, (%) 0-6.1 2803 2.3 6.1-13.7 3747 2.7 13.7-19.8 8055 2.8

2. A line load of q per unit length is applied at the ground surface as shown in the Figure below with a polar system: Given q = 145kN/m, calculate stresses (or, 0e, Tre) at r=10 m and 8= 30° q/unit length de ●P(-8) 09 Tax = Tro

P 3) A simply supported beam constructed by four woods nailed together as shown in the figure. If each nail can support a shcar force of V-11 kN, and the allowable shcar stress for the material is (twood)Jallow=2 MPa, Considering the only shear effect; A 3m В 3m + a) Calculate the P force that the beam can carry safely. b) Using the calculated value of Pin (a), determine the maximum distance between the nails. 12em 12 Figure-3