Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Question
Chapter 13, Problem 13.26P
(a)
To determine
Find the active earth force
(b)
To determine
Find the active earth force
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13.22 Consider the retaining wall shown in Figure 13.38. The height of the wall is 9.75m. and the unit weight of the sand backfill is 18.7kN/m3. Using Coulomb's equation, calculate the active force, Pa, on the wall for the following values of the angle of wall friction. Also, comment on the direction and location of the resultant.
Refer to the Coulumb Active Earth Pressure. Given alpha = 10 degree; Beta=85 degrees;H - 4m;unit weight of soil = 15 kN/m^3; soil friction angle = 30 degree; and sigma=15 degrees. Estimate the active force, Pa, per unit length of the wall. Also, state the direction and location of the resultant force, Pa.
Question 2
A tubular post of outer diameter d, is guyed by two cables fitted with turnbuckles (see figure). The cables are
tightened by rotating the turnbuckles, thus producing tension in the cables and compression in the post. Both
cables are tightened to a tensile force of 110 kN. Also, the angle between the cables and the ground is 60°, and
the allowable compressive stress in the post is oc =35 MPa. If the wall thickness of the post is 15 mm, what is
the minimum permissible value of the outer diameter d2?
Cable
Turnbuckle
Post
d2
60°
60°
Chapter 13 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.1CTP
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- Find the shear flow distribution in the rectangular thin-walled section shown. Hence, find the magnitude and location of the maximum shearing stress. All wall thickness = 0.1 inch. 1000 lb y z (1 6" 3" 12"arrow_forwardYou are working for a consulting firm that has been asked to evaluate the factor of safety of the wall shown in the figure supported by a well-degraded sand. The resultant load behind the concrete wall acts at the one third point. Dw 1m 1.5 m 24 kN/m³ y = 20 kN/m³ 26.5 kN/m 24° = 34° n = 0.4 3 m (a) Determine the factor of safety if Dw − D > 1.5B. Ignore the lateral passive resistance due to the soil in front of the wall. (b) Determine the factor of safety if the ground water table rises to 0.5 m below the base of the wall. Discuss the significance of your observations.arrow_forwardQUESTION 3) For the cross-section having uniform wall thickness given in the figure; a) Find the location of shear center (e). b) Obtain the shear stress diagram that will occur if a shear force of Ty = 40 kN is applied to the shear center. (t=10mm, as 100mm) 2a 슈arrow_forward
- Consider the retaming wall shown in the Figure below Calculate the Rankine passive force per unit length of the wall and the location of the line of action of that resultant at which it acts on the retaining wall. 15.72KN/m3 1=30 C1=0 WT "sat= 15.72KN/m3 12=26 C1=10KN/m2 2 marrow_forwardHome work B 8 mm y 1.28 m/s A B μ= 0.05 From the figure, find the velocity rate and shear stress at the wall surface and at distance 20, 40, 60 mm from the wall surface. At: A: the velocity profile liner. B: the velocity profile is given as equation : V(y) = Vo-200 (B − y)² Where: V, is maximum velocity, B is the depth of fluid.arrow_forwardA retaining wall is shown in Figure 1. Determine the Rankine active and passive force, per unit length of the wall and the location of the resultant with the following measurements and parameters given:arrow_forward
- Determine the lateral earth pressure force on the wall (6.0 m height shown in the figure. Draw the stress distribution and locate the location of the resultant force. Sandy soil kN Ye = 20 O = 36.0°arrow_forwardThe velocity distribution for water (20?C) near a wall is given by u=a (y/b)1/6, where a=10 m/s, b=2 mm, and y is the distance from the wall in mm. Determine the shear stress in the water at y=1mm.arrow_forwardThe channel section shown is subjected to a vertical shear force of V = 29 kN. Calculate the horizontal shear stress Ta at point A, and the vertical shear stress tR at point B. Assume a = 50 mm, b = 250 mm, tw= 16 mm, t;= 12 mm, d = 74 mm. V | tw Answers: TA = MPa TB = i MPaarrow_forward
- Plot the vertical effective stress, the active Rankine lateral effective stress, the water pressure, and total pressures acting on the wall in the figure below. Also calculate the equivalent soil pressure, equivalent water pressure, and total equivalent pressure on the back of the wall and the location at which they act. Soil 1 Wall 1.5 m y=19 kN/m³ = 30° Soil 2 3 m y-20 kN/m³ -35° Soil 3 4 m 2.5 m y=21 kN/m³ = 38°arrow_forwardWater flows over a flat plate at a free stream velocity of 0.20 m/s. There is no pressure gradient and boundary layer thickness at the location is 8 mm. Assuming a sinusoidal velocity profile given by и == sin- where, & is the boundary layer thickness, VO is the free Vo steam velocity and u is the velocity at a distance y from the wall. Determine the value of local shear stress at the wall, if p= 1.02 × 10-3 Ns/m² and p = 1000 kg/m³ %3Darrow_forwardA retaining wall is shown in Figure 14.23. Determine Rankine’s active force, Pa, per unit length of the wall and the location of the resultant in each of the following cases:arrow_forward
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