
Find the magnitude and location of the passive force

Answer to Problem 14.11P
The magnitude of the passive force
The location of the resultant measured from the bottom of the wall is
Explanation of Solution
Given information:
The magnitude of surcharge loading (q) is
The unit weight
The height (H) of the retaining wall is 7.0 m.
The soil friction angle
The angle of wall friction
The cohesion
The soil-wall interfall adhesion
The horizontal inertial
The vertical inertial
Calculation:
Determine the ratio of angle of wall friction to the soil friction angle.
Determine the ratio of soil-wall interfall adhesion to the cohesion.
Determine the magnitude of the passive force due to earthquake conditions using the formula.
Here,
Refer Figure (14.9b) “Variation of
For
Take the value of
Refer Figure (14.10b) “Variation of
For
Take the value of
Refer Table (14.7) “Variation of
For the ratio of angle of wall friction to the soil friction angle is 0.5.
The value of
Substitute
Thus, the magnitude of the passive force
Determine the unit weight of the passive force
Substitute
Determine the distance of passive earth force acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the weight of surcharge component using the formula.
Substitute
Determine the distance of surcharge component acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the unit weight of the cohesion component using the formula.
Substitute
Determine the distance of cohesion component acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the location of the resultant measured from the bottom of the wall using the formula.
Substitute
Thus, the location of the resultant measured from the bottom of the wall is
Want to see more full solutions like this?
Chapter 14 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
- Describe the scientific of the arrival of enslaved Africans in America and how it has impacted American societyarrow_forwardFor the beam of cross section shown below, analyze the stresses at Mid-span at transfer and at service stages, Neglect losses. Use: f' =41.4 MPa and assume that concrete has attained strength of fci =34.5 MPa at the time of transfer. The initial prestress force is (Psi-1112 kN). The service deal load D.L = 3.65 kN/m (not include self weight of beam). The service live load L.L=14.6 kN/m. Use n=7. Check stresses with the ACI permissible stresses Determine the equivalent transformed section in compute A and I h=508 mm d=381 9.15 As= 1290 mm² 305arrow_forwardFor the prestressed concrete beam with a straight tendon shown in Fig below which is under the prestressing force of 1620 kN, Analyze the stresses at Mid-span at transfer stage. The uniformly distribution load (self weight) = 4.75 kN/m. Then draw the stress distribution across the section mid-span. W=4.75 kN/m Δ 7.3 m F= 1620 kN 750 mm I 230 mm 500 mmarrow_forward
- 4.36 A pipe slopes upward in the direction of liquid flow at an angle of 30° with the horizontal. What is the pressure gradient in the flow direction along the pipe in terms of the specific weight of the liquid, y, if the liquid is decelerating (accelerating opposite to flow direction) at a rate of 0.3 g?arrow_forward4.25 In this flow passage, the velocity is varying with time. The velocity varies with time at section A-A as 4m V-41/1-230/1 2.25- S to At time t = 0.50s, it is known that at section A-A the velocity gradient in the s direction is +2.1 m/s per meter. Given that to is 0.6 s and assuming quasi-1-D flow, answer the following questions for time t = 0.5 s: a. What is the local acceleration at A-A? b. What is the convective acceleration at A-A? A Diameter 50 cm Problem 4.25arrow_forwardCan you design a (Open Channel): -Most Efficient Section (Rectangle Shape) -Cost Estimate -Structural Analysis Design Requirements: Bed Slope= 1:1500 Manning's (n)= 0.015 Discharge: Q= 18 m^3/sarrow_forward
- What is Highway engineeringarrow_forwardDetermine the vertical displacement of joint A. Each bar is made of steel and has the cross-sectional area shown. Take E = 29,000 ksi. Use the method of virtual work.arrow_forwardSketch the Energy Line and the Hydraulic Grade Line through the Venturi meter. Label the contribution of each term from bernoulli equationarrow_forward
- 2. Design a storage and distribution system for the town of Waffle. The requirements are that fire protection shall be provided, the minimum water pressure at the top of the apartments is to be 240 kPa and the maximum system pressure is to be 550 kPa. The following assumptions may be used: Each of the four apartment buildings is occupied by 50 residents. Each apartment building is four stories high. Each story is 3 meters high. Each house is occupied by three residents. Average daily demand for the village is 500 Lpcd and the peak hourly demand factor is 6.2. Needed fire flow for the houses is 230 m3/h. and for apartment building is 500 m3/h, with 2 h duration. System pressure is to be provided from the elevated storage tank. Minor pressure losses in buildings may be ignored. The distribution system will not contain any loops. Assume that emergency supply (ES), fire department supply (FDS) or off peak pumping are not provided (they are all equal to zero). Provide the following…arrow_forward1. The city of Ten Sleep proposes to use Crater Lake for its water supply. Water quality analysis results revealed no detectable Giardia, viruses, or Cryptosporidium in the source water (Giardia cysts <1/100 L; Viruses <1/100 L; Cryptosporidium oocysts <0.075/L). Design a disinfection system to treat 3,500 m³/d by direct filtration and chlorine dioxide (CIO2) will be used as a primary disinfectant. The filtered water has a pH of 7.5 and a temperature of 5°C. Provide the following information for your design: • Determine the total removal/inactivation required for disinfection for each pathogen group • Determine the required CT value to achieve the required inactivation for the design conditions (pH, temperature)arrow_forwardFor the beam shown, where is the peak value of the bending moment diagram? P a. Above C b. Below B c. Above A d. Above B Barrow_forward
- Principles of Geotechnical Engineering (MindTap C...Civil EngineeringISBN:9781305970939Author:Braja M. Das, Khaled SobhanPublisher:Cengage LearningPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Geotechnical Engineering (MindTap...Civil EngineeringISBN:9781305635180Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781305081550Author:Braja M. DasPublisher:Cengage Learning



