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. e. = 200 mm Vertical force = 600 kN eyy =100 mm 1 m A 2m Rectangular footing - Plane
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- For the loaded area shown below, determine the increase in vertical stress (4p) at 5 ft below points B and C at the depth of the pipe, which is z = 5 feet below the footing, and 3 feet a way from its edge. The footing has a UDL , q = 1800 lb/ft2. 1,800 B. A 5t 4ft 5t 2 B 10 t 3 ft 10 ft 3 ft PLAN VIEW SECTIONQ4: Use the rectangular loaded area to calculate the increase in vertical stresses at points (A) and (B) due to the loaded area of footing. Choose figure (1) or (2). Top view Top view it. awT CLAY 1 CLAY 1 CLAY 2 10m x 10m 150² INCOMPRESSIBLE Figure (1) B G.W.T ME CLAY 1 CLAY 1 CLAY 2 YA 10mX10m 7-15076 INCOMPRESSIBLE Figure (2)A rectangular footing of B=3 and L=6 rests at the depth of 2 m below theground level. The stress induced by the footing is 40 kPa. The unit weight of the soil is 18kN/m3and the groundwater table is at a great depth. A pipeline is to be constructed under thefooting. In order to design the strength of the pipeline, calculate the stress increase on thepipeline by using Boussinesq’s Method in the case:a) Pipeline at 5 m below the centerline of the footingb) Pipeline at 5 m below the corner of the footing
- A 2 m wide strip footing is to be placed as shown in figure below, Vertical stress at point A is kN/m² 1m 2m 2 100 kN/m -2m- AA clay sanitary pipe is located at a point C below the footing shown below. Determine the increase in the vertical stress Ap at the depth of the pipe, which is z = 5 feet below the footing invert, and 3 feet away from its edge. The footing has a uniformly distributed load q = 1,800 psf. 1,800 5 ft r 2 ft B 10 ft PLAN VIEW 4 ft A T 3 ft 1 9 = B 10 ft SECTION A + 3 ft у с 5 ftA 1mx1m square concrete footing carrying a vertical load of 500KN founded on fully saturated clay. Which of the following statement is correct? a. The contact pressure between the footing and the clay is 50 kPa. Ob. The contact pressure between the footing and the clay is 500 kPa O c. The vertical induced stress at 1m depth below the centre of the footing in the clay is more than 500 kPa. Od. The vertical stress increase at 1m depth below the centre of the footing in the clay is 50kPa.
- A flexible circular footing of radius R carries a uniform pressure q. Find the depth (in terms of R) at which the vertical stress below the center is 20% of q.Estimate and plot the vertical stress increase, Aoz, along verticals through A, B, the centerline, C and D of the embankment at depths of 0 ft, 10 ft, 20 ft, 30 ft, 40 ft and 50 ft below the original ground surface. Plot also the variation of Aoz along horizontal planes at similar depths. Assume y = 120 pcf. 25ft A * B £ * с D 15ft TEIN2. Compute the following: Compute the following: (4) a. Effective stress before loading. b. Induced stress and effective stress after loading at the edge of the footing c. Compute effective stress if ground water table was at the same level as ground level. d. Calculate new Induced stress and effective stress after loading at the edge of the footing. 10° 10 30' 30⁰ Width = 10ft, q = 2000 psf Sand ym= 110 pcf ysat = 125 pcf ** Clay ysat = 100 pcf Gravel ysat = 130 pcf Pt. B Pt. C Pt. A O t
- Q2/ Design the footing shown the figure below, using fc = 24 Mpa and fy = 415 Mpa N M M=800 KN-m DL= 800 KN LL=800 KN w=0.5 m 2.25 m 60 kPa Love (L-w) 2 2.25 m 3 m 239 kPaA wall footing is shown. The properties of soil and concrete are as follows:Unit Weight of concrete = 24 kN/m³Unit weight of soil = 16 kN/m³Allowable soil pressure = 200 kPaPDL = 200 kN/mPLL = 180 kN/mfc’= 28 MPafy = 280 MPa 1. Which of the following most nearly gives the effective soil pressure if the allowable soil pressure is 200 kPa. Hint: The effective soil pressure is the remaining pressure available to supports the loads after the effects of the soil and concrete weighs are subtracted. a. 120 kPa b. 154 kPa c. 178 kPa d. 204 kPa 2. Which of the following most nearly gives the minimum width of footing such that the effective soil pressure will not exceed? a. 2.78 m b. 3.67 m c. 4.24 m d. 5.10 m 3. Which of the following most nearly gives the ultimate shear due to factored loads acting on the critical section? a. 180 kN b. 260 kN c. 224 kN d. 281 kNA rectangular footing has a dimensions shown and is acted upon by a dead load of 722 kN and a live load of 620 kN. The column dimension is 326 x 662 mm where he shorter dimension is parallel to B The thickness of the footing is 408mm. f'c=28 MPa and fy=420 MPa for diameter 20mm bars. A=3.1m and B=5.1m