
Concept explainers
(a)
Find the normal and shear stress on a plane inclined at
(a)

Answer to Problem 12.17P
The normal stress on a plane inclined at
The shear stress on a plane inclined at
Explanation of Solution
Given information:
Specimen I:
The chamber pressure
The deviator stress is
The inclined angle with major principal plane
Specimen II.
The chamber pressure
The deviator stress
Calculation:
For specimen I:
Find the major principal effective stress at failure
Substitute
Find the normal stress
specimen I using the equation.
Here,
Substitute
Thus, the normal stress on a plane inclined at
Find the shear stress
specimen I using the equation.
Substitute
Thus, the shear stress on a plane inclined at
(b)
Find the normal and shear stress on the failure plane at failure for specimen II.
(b)

Answer to Problem 12.17P
The normal stress on the failure plane at failure for specimen II is
The shear stress on the failure plane at failure for specimen II is
Explanation of Solution
Calculation:
Show the Mohr-Coulomb failure expression to find the major effective principal stress for specimen I as shown below:
Here,
Substitute
Substitute
Express the Mohr-Coulomb failure for specimen II using Equation (5).
Substitute
Subtract the Equation (6) from (7).
Calculate the angle of inclination on the failure plane using the equation:
Substitute
Find the major principal effective stress at failure
Substitute
Find the normal stress
Substitute
Thus, the normal stress on the failure plane at failure
Find the shear stress
Substitute
Thus, the shear stress on the failure plane at failure
Want to see more full solutions like this?
Chapter 12 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
- Why is it important for construction project managers to be flexible when dealing with the many variable factors that pop up in a project?arrow_forwardWhat are some reasons for why a company would accelerate a construction project?arrow_forwardFor the design of a shallow foundation, given the following: Soil: ' = 20° c' = 52 kN/m² Unit weight, y = 15 kN/m³ Modulus of elasticity, E, = 1400 kN/m² Poisson's ratio, μs = 0.35 Foundation: L=2m B=1m Df = 1 m Calculate the ultimate bearing capacity. Use the equation: 1 - qu = c' NcFcs Fcd Fcc +qNqFqsFqdFqc + ½√BN√Fãs F√dƑxc 2 For '=20°, Nc = 14.83, N₁ = 6.4, and N₁ = 5.39. (Enter your answer to three significant figures.) qu = kN/m²arrow_forward
- A 2.0 m wide strip foundation carries a wall load of 350 kN/m in a clayey soil where y = 15 kN/m³, c' = 5.0 kN/m² and ' = 23°. The foundation depth is 1.5 m. For ' = 23°: Nc = 18.05; N₁ = 8.66; Ny = = = 8.20. Determine the factor of safety using the equation below. qu= c' NcFcs FcdFci+qNqFqsFq 1 F + gd. 'qi 2 ·BN√· FF γί Ysyd F (Enter your answer to three significant figures.) FS =arrow_forward2P -1.8 m- -1.8 m- -B Wo P -1.8 m- Carrow_forwardPart F: Progressive activity week 7 Q.F1 Pick the rural location of a project site in Victoria, and its catchment area-not bigger than 25 sqkm, and given the below information, determine the rainfall intensity for ARI 5, 50, 100 year storm event. Show all the details of the procedure. Each student must propose different length of streams and elevations. Use fig below as a sample only. Pt. E-nt 950 200 P: D-40, PC-92.0 300m 300m 000m PL.-02.0 500m HI-MAGO PLA-M 91.00 To be deemed satisfactory the solution must include: Q.F1.1.Choice of catchment location Q.F1.2. A sketch displaying length of stream and elevation Q.F1.3. Catchment's IFD obtained from the Buro of Metheorology for specified ARI Q.F1.4.Calculation of the time of concentration-this must include a detailed determination of the equivalent slope. Q.F1.5.Use must be made of the Bransby-Williams method for the determination of the equivalent slope. Q.F1.6.The graphical display of the estimation of intensities for ARI 5,50, 100…arrow_forward
- I need help finding: -The axial deflection pipe in inches. -The lateral deflection of the beam in inches -The total deflection of the beam like structure in inches ?arrow_forwardA 2.0 m wide strip foundation carries a wall load of 350 kN/m in a clayey soil where y = 17 kN/m³, c' = 5.0 kN/m² and 23°. The foundation depth is 1.5 m. For o' = 23°: Nc = 18.05; N = 8.66; N = 8.20. Determine the factor of safety using the equation below. 1 qu = c' NcFcs Fed Fci +qNqFqs FqdFqi + ½ BN F√s 1 2 (Enter your answer to three significant figures.) s Fyd Fi FS =arrow_forward1.2 m BX B 70 kN.m y = 16 kN/m³ c' = 0 6'-30° Water table Ysat 19 kN/m³ c' 0 &' = 30° A square foundation is shown in the figure above. Use FS = 6, and determine the size of the foundation. Use the Prakash and Saran theory (see equation and figures below). Suppose that F = 450 kN. Qu = BL BL[c′Nc(e)Fcs(e) + qNg(e)Fcs(e) + · 1 YBN(e) F 2 7(e) Fra(e)] (Enter your answer to two significant figures.) B: m Na(e) 60 40- 20- e/B=0 0.1 0.2 0.3 .0.4 0 0 10 20 30 40 Friction angle, ' (deg) Figure 1 Variation of Na(e) with o' Ny(e) 60 40 20 e/B=0 0.3 0.1 0.2 0.4 0 0 10 20 30 40 Friction angle, ' (deg) Figure 2 Variation of Nye) with o'arrow_forward
- K/S 46. (O المهمات الجديدة 0 المنتهية 12 المغـ ۱۱:۰۹ search ليس لديك اي مهمات ☐ ○ ☑arrow_forwardI need help setti if this problem up and solving. I keep doing something wrong.arrow_forward1.0 m (Eccentricity in one direction only)=0.15 m Call 1.5 m x 1.5m Centerline An eccentrically loaded foundation is shown in the figure above. Use FS of 4 and determine the maximum allowable load that the foundation can carry if y = 18 kN/m³ and ' = 35°. Use Meyerhof's effective area method. For '=35°, N = 33.30 and Ny = 48.03. (Enter your answer to three significant figures.) Qall = kNarrow_forward
- Principles of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage LearningFundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage Learning



