A square footing having a dimension of 2.5m x 2.5m is supported by a cohesionless soil with the following properties: ϕ = 32∘ γ = 18 kN/m3 γsat = 20 kN/m3 The bottom of the footing is 1.5m below the ground surface. Use FS = 3 and γw = 9.81 kN/m3. Apply the general bearing capacity equation. GWT is at the bottom of the footing and load is applied at an eccentricity of 250mm along one side. 1. Determine the effective short dimension, B' (in m). 2. Determine the effective long dimension, L' (in m). 3. Determine the ultimate bearing capacity (in kPa).

A square footing having a dimension of 2.5m x 2.5m is supported by a cohesionless soil with the following properties: ϕ = 32∘ γ = 18 kN/m3 γsat = 20 kN/m3 The bottom of the footing is 1.5m below the ground surface. Use FS = 3 and γw = 9.81 kN/m3. Apply the general bearing capacity equation. GWT is at the bottom of the footing and load is applied at an eccentricity of 250mm along one side. 1. Determine the effective short dimension, B' (in m). 2. Determine the effective long dimension, L' (in m). 3. Determine the ultimate bearing capacity (in kPa).

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter10: Mat Foundations

Section: Chapter Questions

Problem 10.1P: Refer to the rectangular combined footing in Figure 10.1, with Q1 = 100 kip and Q2 = 150 kip. The...

See similar textbooks

Similar questions

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)A
For the square footing shown below, use the general bearing capacity equation to determine the gross allowable load (kips) that the footing can carry. Assume a general shear failure. y = 98 pcf; Y sat = 120 pcf; c = 0; $ = 30°; Df = 4 ft; D = 1 ft; B = 3 ft; F.S. = %3D 3.0 Groundwater table Y sat В
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 5 * 7 ft footing is founded at a depth of 2 ft and supports a vertical load of 80 k and a moment load of 30 ft-k in the B direction and 50 ft-k in the L direction. Determine the dimen-sions of the equivalent uniformly loaded footing and compute the equivalent bearing pressure.
A 4.7 m square footing is proposed to be used to support a 635 mm x 635 mm RC column loaded with 665 kN dead load and 843 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 331 kPa. The thickness of the footing is 462 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 Calculate the number of bars required in one direction. Provisions are given below for the minimum area of main reinforcements Reinforcement Type fy. MPa As.min. mm² Deformed Bars 420 MPa Reinforcement Greater of: 0.0018×420 f₂ 0.0014A -A₂
A 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
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 dimension
3. A square footing that carries an axial load of 150000kg has its bottom resting on a ground water table at a depth of 2.5m from the ground surface. Take PDRY = 1860kg/m3 and PSAT = 1950kg/m3, c = 1600kg/m2, ø = 30degrees. Use the approximate formulas for the determination of the bearing capacity factors. a.Compute the required width of the footing using a factor of safety of 2. b.Compute the ultimate bearing capacity of the soil. c.Compute the net factor of safety. d.Compute the net soil pressure.
A 3.2 m square footing is proposed to be used to support a 373 mm x 605 mm RC column loaded with 637 kN dead load and 856 kN live load. The bottom of the footing is 1.7 m below the ground. Assume soil weighs 19 kN/m3 and the allowable soil bearing pressure is 343 kPa. The thickness of the footing is 464 mm. fc = 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. Note: For two-way shear, use an effective depth measured from the top of the footing until the top of the bottom-most bar (d3) What is the ratio of the Demand Shear Force and the Capacity in Two Way Shear? (Vu/phiVn) Answer in 4 decimal places (1.6125, 1.5140, 0.8461, etc.) You Answered Correct Answer 1.3809 margin of error +/- 1%
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 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 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 0.0014A