SITUATION: A rectangular footing, a = 3.5m, b = 2.5m, has a thickness of 700 mm. The column load is 1500 kN. The bottom of the footing is located 2.2 m below the ground. Given that unit weight of concrete = 24 kN/m^3 and unit weight of soil = 18 kN/m^3. Neglecting the weight of the footing, solve the following: %3! 600mm b = 2.5m %3D a = 3.5m 1m 450mm
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- A strip footing shown is resting on loose sand has the following data (refer to figure h = 0.95 m Df = 1.9 m B = 1.8 m Unit weight of soil above GWT = 1750 kg/m3 Saturated Unit weight of soil = 1950 kg/m3 c = 12 kPa Angle of internal friction = 30 degrees Calculate the following: Net Allowable Bearing Capacity of the footing using Terzaghi’s assumption, kPa. Use FS = 2.5Estimate the combined settlement of the square footing shown below due to compression of the sand (8) and consolidation settlement (Sc) of the clay. Assume that the load Q already includes the weight of the footing and the weight of the soil above the footing. Assume t = 50 years. Q = 250 kips (Square Footing) Sand #1 = SW 2 ft y = 120 pcf $ = 25° C' = 0 psf N60 = 6 6 ft 4 ft -> Clay = CH %3D Ysat = 100 pcf Su = 1300 psf e, = 0.9 oc = 1300 psf Cr = 0.05 Cc = 0.55Correction: Round off your answer to the nearest multiple of ten. * A 3.2 m x 3.2 m square footing has a load of 1200 kg. From the bottom of the footing, an 8 m thick sand lies on top of a 2.8 m clay layer. The foundation is 1500 mm deep. The clay layer has LL = 48 and e = 0.95. The saturated densities of sand and clay are 1860 kg/m³ and 1760 kg/m³ respectively. Q: If the water level rises just to the ground surface and using the 2:1 method, what is the primary consolidation settlement of the clay in mm? Round off your answer to the nearest value of ten.
- A rectangular footing has dimensions shown and is acted upon by a dead load of 668.00 kN and a live load of 551.00 kN. The column dimension is 282x572 mm where the shorter dimension is parallel to B. The thickness of the footing is 564mm. f'c=28 MPa and fy=420 MPa for diameter 20mm bars. A=3.3m and B=5.7m Calculate the ratio of the Ultimate Shear Force to Shear Capacity in one- way shear. Consider critical case only. Answer is 0.6175 (Complete Solution)AA square footing is to be constructed on a sitly sand soil, as shown in the figure below. The groundwater table is at depth 15 m below the ground surface. Compute the ultimate bearing capacity and the column load required to produce a bearing capacity failure. ć= 8 kPa Solution: $ = 30 ý = 19 1 m. kN m³ 0.6 m-2- Determine the stress increase below the center of the footing using both theoretical and approximate methods at the top, middle and bottom of the clay layer. In addition, determine the average stress increase for the clay layer. Dimensions in Heights in m Unit weights in kN/m3 kN m P2 H1 H2 H3 BL Hw 2.5 Yoati 18.0 19.0 3.0 3.0 2.0 16.0 2 3 1174 Load - 0 Hw H1 H2 H3 OSand Clay (hoemally conactiduted)
- 2) A square footing carries an allowable load of 59130kg including its own weight. The bottom of footing is 1.0m below ground surface and water table coincide with bottom of footing. Assume General shear failure. Unit Weight = 1846kg/cu.m c= 1605kg/sqm Nc = 35 Nq=22 Ny=19 1.0m Sat unit wt = 1956kg/cu.mProblem 2. A rectangular footing supports a square column concentrically. Given: Footing Dimensions: 3.0m wide x 4.5m long and 0.75m depth Column Dimensions: 0.40m x 0.40m Concrete, fc’ = 21MPa Steel, fy = 275MPa Concrete cover to the centroid of steel reinforcements = 110mm Unit weight of concrete = 23.5kN/m3 Unit weight of soil = 16kN/m3 Determine the concentrated load that the footing can carry based on beam action. Calculate the concentrated load that the footing can carry based on two-way action. If the allowable soil pressure at service loads is 200kPa, what column axial load (unfactored) in kN can the footing carry if depth of earth fill is 2.0m above the footing?A square footing has dimensions 2 m x 2 m and founded at a depth of 2 m. Consider the following statements regarding capacity of footing in pure clay with an unconfined compressive strength of 0.15 N/mm?, o = 0° and y = 1.7 g/cm3. Assume Terzaghi's factors for o = 0 as Nc = 5.7; N. =1 and N., = 0. Choose the correct statement(s): A Net ultimate bearing capacity is 555.75 kN/m2. Correct Option Ultimate bearing capacity is 589.104 kN/m2. Correct Option C Net ultimate bearing capacity is 427.5 kN/m2. Ultimate bearing capacity is 460.85 kN/m2.
- 1) A footing whose one side spans 4.2m carries a 520 kN dead load and 640kN live load from a reinforced concrete column. The column measures 500mm parallel to the long side of the foundation, and 800mm on the other side. Assume effective soil bearing capacity of 80kPa, concrete compressive strength of 21 MPa, and steel yield strength of 280 MPa. Determine the following: • Dimensions of the footing (use 100mm increments) • The thickness of the footing (use 10mm increments) • Number of 20mm reinforcements along each dimensionA strip footing carries a load 14506 lbs per foot of length. The footing has a width of 2.3 ft. Determine the increase in vertical stress directly below the center of the footing at a depth of 0.8 ft. Provide your answer in psf, to 2 decimal place. Do not include units in your response.A proposed office building will include a 10 ft x10 ft square, 3 ft deep (the footing height is also 3 feet) spread footing. The normally consolidated clay has the following engineering properties: Ydry = 115.0 pcf $'=24° c'= 90.0 psf Cc/(1+eo) = 0.15 The soil stratum extends to a great depth, and the ground water table is 50 ft below the ground surface. What is the maximum bending moment from the earthquake that this foundation can support? Consider bending moment only about one axis.