Using the general bearing capacity equation, compute the ultimate load (in kN) that a 2.53 x 4.66 meter footing can carry on soil for which c = 20.79 kN/m², p=27°, Ysoil = 16.04KN/m³, ysub = 10.68 kN/m³. The depth of the foundation is 2.04m and
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- 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 4.7 m square footing is proposed to be used to support a 398 mm x 398 mm RC column loaded with 860 kN dead load and 654 kN live load. The bottom of the footing is 2 m below the ground. Assume soil weighs 19 kN/m³ and the allowable soil bearing pressure is 285 kPa. The thickness of the footing is 552 mm. f = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m³ as the unit weight of concrete. Use an effective depth measured from the top of the footing until the center of the bottom-most bar Calculate the number of bars required in one direction. Provisions are given below for the minimum area of main reinforcements Reinforcement Type fy. MPa ima Nimist Deformed Bars < 420 MPa 0.0020A Deformed Bars and Welded Wire 2 420 MPa Reinforcement Greater of: 00018 x 420 0.0014AA 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)A
- A 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-A 3.4 m square footing is proposed to be used to support a 353 mm x 630 mm RC column loaded with 634 kN dead load and 853 kN live load. The bottom of the footing is 2.3 m below the ground. Assume soil weighs 19 kN/m³ and the allowable soil bearing pressure is 314 kPa. The thickness of the footing is 431 mm. f = 21 MPa and f = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m³ as the unit weight of concrete. Note: For two-way shear, use an effective depth measured from the top of the footing until the top of the bottom-most bar (d;) What is the ratio of the Demand Shear Force and the Capacity in Two Way Shear? (Vu/phiVn) Answer is 1.5881 (Complete Solution)A foundation is 3 mx 2 m in plan. Given: Df= 1.5 m, o'= 25°, c'= 70 kN/m². With General Bearing Capacity equation and FS = 3 assmuming general shear failure in soil, determine the net allowable load that the footing can carry. a) NOTE: Due to drought, groundwater level has been lowered down to a depth of 1.5m from the ground surface. b) Net allowable load that the footing can carry using general bearing capacity equation and F.S.=3 assuming general shear failure in soil. c) Ultimate bearing capacity (qu) using prakash and saran theory with eB=0.3m and eL=0.5m. y = 17 kN/m 1 m 1.5 m Groundwater level 3 m x 2 m Yut = 19.5 kN/m
- A footing 2.25 x 2.25 m is located at a depth of 1.5 m in a sand, the shear strength parameters to be used in design being d' = 0 and o' = 38°. Determine the ultimate bearing capacity (a) if the water table is well below foundation level and (b) if the water table is at the surface. The unit weight of the sand above the water table is 18 kN/m³; the saturated unit weight is 20 kN/m³.A shallow continuous foundation is to be constructed on a soil under the ground'. surface as shown in the figure below. Determine the gross allowable bearing capacity with a factor of safety FS = 3. All dimensions in meter. II. Comment of the effect of placing the footing at the ground surface (i.e. Dr= 0) on the computed allowable bearing capacity. Take Neg as 5. 2.8 1.4 I G.S. 30 1.4 Yson = 17.7 kN/m = 30° C= 40 KN/m?For the following plan (Factor of Safety:3) a. Assume as rigid and calculate the dimension b b. Find if the strip foundation is flexible or rigid Thickness of foundation is 0.4m EConcrete: 30 000 Mpa, Ks: 20000 kN/m³ Allowable bearing pressure 200kPa L Dimension (m) Coll Load (kN) Col 2 Load (kN) b 500 400 Col. 2
- A 3.5 m square footing is proposed to be used to support a 328 mm x 328 mm RC column loaded with 815 kN dead load and 770 kN live load. The bottom of the footing is 2 m below the ground. Assume soil weighs 19 kN/m³ and the allowable soil bearing pressure is 314 kPa. The thickness of the footing is 553 mm. f = 21 MPa and f = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m³ as the unit weight of concrete. Use an effective depth measured from the top of the footing until the center of the bottom-most bar (d1) Calculate the number of bars required in one direction. Answer is 15 (Complete Solution)A 3.5 m square footing is proposed to be used to support a 328 mm x 328 mm RC column loaded with 815 kN dead load and 770 kN live load. The bottom of the footing is 2 m below the ground. Assume soil weighs 19 kN/m3 and the allowable soil bearing pressure is 314 kPa. The thickness of the footing is 553 mm. f'c = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m3 as the unit weight of concrete. Use an effective depth measured from the top of the footing until the center of the bottom-most bar (d1) Calculate the number of bars required in one direction.A 4.31 m square footing is proposed to be used to support a 331 mm x 361 mm RC column loaded with 586 kN dead load and 561 kN live load. The bottom of the footing is 2 m below the ground. Assume soil weighs 19 kN/m3 and the allowable soil bearing pressure is 299 kPa. The thickness of the footing is 490 mm. f'c = 21 MPa and fy = 420 MPa. It is to be reinforced with 20 mm diameter. Use 24 kN/m3 as the unit weight of concrete. What is the ratio of the Demand Shear Force and the Capacity in Punching shear? Use an effective depth located midway between the two layers of the bars.