Problem 1 A square footing having a dimension of 3.5m is supported by a soil (dense sand) with the following properties: angle of friction = 20 c = 50kPa γ = 18 kN/m3 γsat= 20 kN/m3 The bottom of the footing is 1.5m below the ground surface. Use FS = 3 and = 9.81 kN/m3. Using Terzaghi's equations, a. If GWT is at the bottom of the footing, determine the gross allowable bearing capacity (in kPa). b. If the GWT is found 1m below ground surface, what is the gross allowable bearing capacity (in kPa)? c. If the GWT is found 4 m below ground surface, what is the gross allowable bearing capacity (in kPa)? Problem 2 A square footing having a dimension of 3.5m is supported by a soil with the following properties: Angle of Friction = 20 c = 50kPa γ = 18 kN/m3 γsat= 20 kN/m3 The bottom of the footing is 1.5m below the ground surface. Use FS = 3 and = 9.81 kN/m3. Using the general capacity equation or Meyerhof's Equation, a. If GWT is at the bottom of the footing, determine the gross allowable bearing capacity (in kPa). b. If the GWT is found 1m below ground surface, what is the gross allowable bearing capacity (in kPa)? c. If the GWT is found 4 m below ground surface, what is the gross allowable bearing capacity (in kPa)? Problem 3 Compare the difference between the results from Terzaghi's Bearing Capacity Equation and the General Bearing Capacity Equation (Problem 1 and 2). Try to explain what causes the difference. Cite your references. To achieve a more comprehensive discussion of results, follow the instructions below: i. Calculate the bearing capacities considering the situation in problem 1 (using Terzaghis Bearing Capacity Equation), neglecting the GWT, and using the angle of friction equal to 0, 10, 20, 30, 40 & 50. Plot your answers (horizontal axis: angle of friction; vertical axis: gross allowable bearing capacity) ii. Calculate the bearing capacities considering the situation in problem 2 (using General Bearing Capacity Equation), neglecting the GWT, and using the angle of friction equal to 0, 10, 20, 30, 40 & 50. Plot your answers (horizontal axis: angle of friction; vertical axis: gross allowable bearing capacity) iii. Combine the two plots for easier visualization of comparison. iv. Explain.
Problem 1
A square footing having a dimension of 3.5m is supported by a soil (dense sand) with the following properties:
angle of friction = 20
c = 50kPa
γ = 18 kN/m3
γsat= 20 kN/m3
The bottom of the footing is 1.5m below the ground surface. Use FS = 3 and = 9.81 kN/m3. Using Terzaghi's equations,
a. If GWT is at the bottom of the footing, determine the gross allowable bearing capacity (in kPa).
b. If the GWT is found 1m below ground surface, what is the gross allowable bearing capacity (in kPa)?
c. If the GWT is found 4 m below ground surface, what is the gross allowable bearing capacity (in kPa)?
Problem 2
A square footing having a dimension of 3.5m is supported by a soil with the following properties:
Angle of Friction = 20
c = 50kPa
γ = 18 kN/m3
γsat= 20 kN/m3
The bottom of the footing is 1.5m below the ground surface. Use FS = 3 and = 9.81 kN/m3. Using the general capacity equation or Meyerhof's Equation,
a. If GWT is at the bottom of the footing, determine the gross allowable bearing capacity (in kPa).
b. If the GWT is found 1m below ground surface, what is the gross allowable bearing capacity (in kPa)?
c. If the GWT is found 4 m below ground surface, what is the gross allowable bearing capacity (in kPa)?
Problem 3
Compare the difference between the results from Terzaghi's Bearing Capacity Equation and the General Bearing Capacity Equation (Problem 1 and 2). Try to explain what causes the difference. Cite your references.
To achieve a more comprehensive discussion of results, follow the instructions below:
i. Calculate the bearing capacities considering the situation in problem 1 (using Terzaghis Bearing Capacity Equation), neglecting the GWT, and using the angle of friction equal to 0, 10, 20, 30, 40 & 50.
Plot your answers (horizontal axis: angle of friction; vertical axis: gross allowable bearing capacity)
ii. Calculate the bearing capacities considering the situation in problem 2 (using General Bearing Capacity Equation), neglecting the GWT, and using the angle of friction equal to 0, 10, 20, 30, 40 & 50.
Plot your answers (horizontal axis: angle of friction; vertical axis: gross allowable bearing capacity)
iii. Combine the two plots for easier visualization of comparison.
iv. Explain.
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