A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stress σz, at a point P, the coordinates of which are x = 2.75 m, and z = 1.5 m, where the x-coordinate is normal to the line load from the central line of the footing.

A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stress σz, at a point P, the coordinates of which are x = 2.75 m, and z = 1.5 m, where the x-coordinate is normal to the line load from the central line of the footing.

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter6: Shallow Foundations: Ultimate Bearing Capacity

Section: Chapter Questions

Problem 6.21P: Consider a continuous foundation of width B = 1.4 m on a sand deposit with c = 0, = 38, and = 17.5...

See similar textbooks

Similar questions

Consider a continuous foundation of width B = 1.4 m on a sand deposit with c = 0, = 38, and = 17.5 kN/m3. The foundation is subjected to an eccentrically inclined load (see Figure 6.33). Given: load eccentricity e = 0.15 m, Df = 1 m, and load inclination = 18. Estimate the failure load Qu(ei) per unit length of the foundation a. for a partially compensated type of loading [Eq. (6.89)] b. for a reinforced type of loading [Eq. (6.90)]
A long foundation 0.6 m wide carries a line load of 100 kN/m. Calculate the vertical stressi ncrease at a point P, the coordinates of which are x = 2.5 m, and z = 1.5m, where the x-coordinate is normal to the line load from the central line of the footing. a. 3.05 kPa b. 1.69 kPa c. 4.08 kPa d. 5.12 kPa) e. 2.55 kPa
The 6m x 9m rectangular foundation shown carries a uniform load of 325 kPa. Using NEWMARK'S influence chart, solve for the stress increase at point A. The answer must be 140.4 . Please show solution
A 4.5 m square foundation exerts a uniform pressure of 200kN/m2 on soil. Determine; i. The vertical stress increments due to the foundation load to a depth of 10m below its center. ii. The vertical stress increment at a point 3m below the foundation and 4m from its center a long one of its axes of symmetry.
Q1.1// The figure below shows the plan of a rectangular raft foundation which supports a total load of 40500 kN. The foundation is located at 3 m from the surface. Evaluate the increase in the effective stress at a point 8 m below the surface and having x, y coordinates as (-9, -6.5) with respect to the central axis of the footing. X 15 m w 6
Question 2) For a shallow foundation shown below: A. Estimate the ultimate bearing capacity when the water table located at a depth of 2 m below the ground surface. B. Estimate the moments about the x- and y-axis; assume that the foundation is subjected to a vertical load and a moment. If eg and eL is 0.33 m and 0.12 m, respectively. G.S Iz 2 m (2 m x 3 m) Silty clay Yo=17 kN/m³ , Ysat = 20 kN/m3 %3D 6 m c'=78 kN/m? 0'=35° Shear modulus=250 kN/m? CS Scanned with CamScanner
Consider the strip footing and loading shown below. Consider in all calculations that the footing is 1 m long in the out-of-plane direction. What is the maximum moment in kN.m per unit length that can be applied by the column in the direction shown in the figure below without compromising the stability of the foundation? (answer tolerance = 2%). Consider γconcrete = 25 kN/m3, γsoil = 18 kN/m3 and assume the width of the embedded column to be negligible and the entire top of the foundation is covered.
10. A flexible foundation is subjected to a uniformly distributed load of q-500 kN/m². Table 3 could be useful. Determine the increase in vertical stress, in kPa, Aoz at a depth of z=3m under point F. B 4m 3m 6m E 10m Table 10.3 Variation of I, with m and n m 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.1 0.0047 0.0092 0.0270 0.0279 0.2 0.0132 0.0092 0.0179 0.0259 0.0132 0.0259 0.0374 0.0222 0.0242 0.0435 0.0474 0.0629 0.0686 0.0258 0.0504 0.0528 0.0547 0.3 0.0731 0.0766 0.0794 0.4 0.1013 0.5 0.0198 0.0387 0.1202 0.6 0.0222 0.0435 0.7 0.0242 0.0474 0.0947 0.1069 0.1168 0.1247 0.1311 0.1361 0.1365 0.1436 0.1491 0.1537 0.1598 0.0168 0.0198 0.0328 0.0387 0.0474 0.0559 0.0168 0.0328 0.0474 0.0602 0.0711 0.0801 0.0873 0.0931 0.0977 0.0559 0.0711 0.0840 0.0947 0.1034 0.1104 0.1158 0.0629 0.0801 0.0686 0.0873 0.1034 0.8 0.0258 0.0504 0.0731 0.0931 0.1104 0.9 0.0270 0.0528 0.0766 0.0977 0.1158 0.0794 0.1013 0.1202 0.0832 0.1263 1.4 0.1300 1.6 0.0306 0.0599 0.0871 0.1114 0.1324 1.8 0.0309 0.0606…
2 ft 2 ft 24 ft 24 ft 24 ft Problem 4 B D E F G | 3 ft DL=100 kip DL=180 kip LL = 60 kịp LL = 120 kip DL=190 kip DL=110 ki • The plan of a mat foundation with column loads is shown in Figure 2. Use the rigid method to calculate the soil pressures at point A, B, C, D, E, F, G, H, , J, K, L, M and N. The size of the mat is 76 ft x 96 ft, all columns are 24 in x 24 in in section, and qlnet = 1.5 kip/ft². Verify that the soil pressures are less than the net allowable bearing capacity. LL = 120 kip LL = 70 ki 30 ft DL=180 kip DL=400 kip DL=200 kip LL = 250 kip LL = 120 kip DL=360 kip LL = 120 kip LL = 200 kip ex 30 ft DL-190 kip DL=500 kip LL = 130'kip LL = 240 kip DL=T10 kip DL=200 kip LL =300 kip LL =120 kip 30 ft DL=180 kip DL=120 kip LL =120 kip L =70 kip x' 3 ft IDL=120 kip DL=180 kip ILL =70 kip LL =120 kip J Figure 2: Plan of a Mat Foundation M L K H
Soil mechanics
A 4-m square footing is shown in figure B which supports a load Q = 5000 kN. In this problem H1 = 8 m and H2 = 12 m. Calculate: a. The pressure at the base of the footing b. The pressure at the mid height of the clay layer assuming that the stress beneath the footing is spread at a slope of 1H to 2V c. The pressure at the mid height of the clay layer [below the center of the footing using Bousinessq equation assuming point load
A 4-m square footing is shown in figure B which supports a load Q = 5000 kN. In this problem H1 = 8 m and H2 = 12 m. Calculate: a. The pressure at the base of the footing b. The pressure at the mid height of the clay layer assuming that the stress beneath the footing is spread at a slope of 1H to 2V c. The pressure at the mid height of the clay layer [below the center of the footing using Bousinessq equation assuming point load