**Problem Context:**Calculate the elastic settlement of a foundation using the strain influence factor method.**Given Data:**- Unit weight, \( \gamma = 18 \, \text{kN/m}^3 \)- Creep is at the end of ten years after construction.**Instructions:**Use Equations (9.30) and (9.36) for calculations.**Assumptions:**- Resistance \( q_c \) is accounted for in the calculations. ## Transcription and Explanation of Figure P9.10### Description**Title:**A continuous foundation on a deposit of sand layer is shown in Figure P9.10 along with the variation of the cone penetration.### Illustration Details:The diagram shows a section of a continuous foundation placed on a layer of sand. The key components of the diagram include:- **Foundation:** The foundation extends vertically downwards and has a horizontal width of 2.5 meters starting from point 0.- **Sand Layer:** The sand layer is indicated below the foundation.- **Depth Indicators:** Measurements are provided at multiple depths: 0 m, 2 m, 8 m, and 14 m.### Cone Penetration Resistance (\( q_c \))- **At a depth of 2 meters:** The cone penetration resistance (\( q_c \)) is 1750 kN/m².- **At a depth of 8 meters:** \( q_c \) increases to 3450 kN/m².- **At a depth of 14 meters:** \( q_c \) is 2900 kN/m².### Load Information:- The average load (\( \overline{q} \)) applied by the foundation is 195 kN/m², indicated with arrows pointing downward on the foundation block.- The horizontal axis represents the equivalent point resistance, designated as \( q_e \) in kN/m².### Purpose of the IllustrationThis figure illustrates the variation in cone penetration resistance with depth beneath a continuous foundation on sand. It provides valuable information for understanding soil behavior under the foundation, which is essential for geotechnical engineering design and analysis.

From the given diagram;For 0 to 2 : For 2 to 8 : For 8 to 14 : Assume,The unit weight of soil ,…

resistance qe. Assuming y = 18 kN/m³ and creep is at the end of ten years after construction, calculate the elastic settlement of the foundation using the strain influence factor method. Use Eqs. (9.30) and (9.36).

resistance qe. Assuming y = 18 kN/m³ and creep is at the end of ten years after construction, calculate the elastic settlement of the foundation using the strain influence factor method. Use Eqs. (9.30) and (9.36).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The extruded plastic shape will be subjected to an internal shear force of V = 395 lb. Dimensions of the cross section are b = 1.0 in., d = 2.0 in., c = 1.4 in., and t = 0.10 in. Determine: (a) the magnitude of the horizontal shear stress at points A and B. (b) the magnitude of the horizontal shear stress at point C, which is located at a distance of yc 0.7 in. below the z centroidal axis. (c) the magnitude of the maximum horizontal shear stress in the extrusion. (typ.) YC b. IN
Question 2 A simply supported beam of a channel section (see Figure Q2) is loaded by a vertical point load P= 10 kN (acting upwards) at mid-span. The length of the beam is L=3 m, the overall width and height of the section are of the same value a 50 mm, and the thickness of all three parts of the section is t= 10 mm. Find the value and location of the maximum shear stress in the beam. Figure Q2
QUESTION 2 A rectangular footing 1000 x 2000 mm shown below is subjected to a vertical point load of 600 kN acting at eccentricities ex = 200 mm and eyy = 100 mm, as show on the Figure below. Calculate the stresses at the corners A and D, and sketch the stress distribution along the face A-D. е 200 mm Vertical force = 600 kN B eyy =100 mm 1 m D. 2m Rectangular footing - Plane
The stresses at a point are measured as shown. Using Mohr's circle determine the stresses with respect to x' - y' axes. Also, determine the maximum possible shear stress at this point. „3.5 MPa 18° '4.4 MPa
Prestressed hallow core slabs with typical section shown are used for flooring of a library. Properties of the slab are as follows: A = 14 x 105 mm?; S, = S, = 6.8 × 10€ mm?; a = 1.2 m; b = 200 mm. The slab is prestressed with 920 kN force at an eccentricity e = 63 mm below the neutral axis of the section. Slab weight is 2.7 kPa, superimposed DL = 2.0 kPa; LL = 2.9 kPa. The slab is simply supported on a span of L = 8 m. Allowable stresses at service loads are 3.2 MPa in tension and 15.5 MPa in compression. Consider 20% loss of prestress at service loads. 1. Compute the maximum compressive stress (MPa) in the slab due to initial prestress force. A. 2.54 B. 12.6 C. 1.95 D. 15.1 2. Determine the maximum stress (MPa) at the bottom of the slab due to service loads and prestress force. A. 1.35 T В. 9.17 C c. 1.35 C D. 9.171 3. Determine the maximum additional load (kPa) including its own weight, that the slab can be subjected to if the allowable stresses at service loads are not to be…
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 4300 mm² and an allowable normal stress of 150 MPa. Bar (2) has a cross-sectional area of A2 = 2550 mm² and an allowable normal stress of 125 MPa. Assume x₁ = 2.3 m, x2 = 3.9 m, y1 = 1.4 m, and y2 = 2.4 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. Y₁ A Answer: Pmax= (1) B P (2) kN Y/₂
The circular tube with the cross section shown is subjected to the axial force P and bending moment M, both directed as shown. Using the readings from the strain gages at a and b, the corresponding stresses at these locations are calculated to be o, = 2800 psi and o, = 15100 psi. Compute P and M. 2 in. M 1.75 in. For the state of stress shown, determine the 30 MPa maximum in-plane shear stress. Show the results on a sketch of an element aligned with the planes of maximum in-plane shear stress. Using Analytical and Mohr's Circle. 30 MPa 10 ksi 40 MPa 10 ksi
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ - 2900 mm2 and an allowable normal stress of 60 MPa. Bar (2) has a cross-sectional area of A₂=4500 mm² and an allowable normal stress of 120 MPa. Assume x₁ = 2.0m, x₂= 3.8m, y₁ = 1.5 m, and y2 = 3.1 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. Y₁ A (1) Answer: Pmax= i B P (2) C KN
Determine the following: a. Maximum and minimum principal stresses b. Normal and shear stresses on plane AB
Current Attempt in Progress Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 3150 mm2 and an allowable normal stress of 175 MPa. Bar (2) has a cross-sectional area of A2 = 2900 mm2 and an allowable normal stress of 140 MPa. Assume x1 = 1.9 m, x2 = 2.9 m, y1 = 1.4 m, and y2 = 2.4 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable %3D %3D normal stress. y2 A (1) В W P Answer: Pmax kN
Current Attempt in Progress Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 4650 mm² and an allowable normal stress of 80 MPa. Bar (2) has a cross-sectional area of A2 = 2800 mm2 and an allowable normal stress of 160 MPa. Assume x₁ = 1.5 m, x₂ = 3.1 m, y₁ = 1.5 m, and y2 = 2.5 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. A Answer: Pmax= (1) i B (2) C kN 1/₂