Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 12, Problem 12.8P
To determine
Find the average relative density of sand between the depths of 3 m and 6 m.
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Find the maximum load (collapse load) that can be carried by the simply
supported beam shown below.
P
↓
3 m
3 m
Find the maximum distributed load can be applied to the two fixed ends
beam shown below.
Wu
L=6m
In excavation for a wall footing, the water table level was lowered from a depth of
1.0 m to a depth of 3.0 m in a clayey soil deposit. Considering that the soil has a
water content of 28% when it is fully saturated, and above the water table the (dry)
unit weight of the soil is 17 kN/m³. Assuming initially that all of the soil above the
water table is dry, then compute the following:
1. The effective stress at a depth of 4.0 m after the lowering of the water table.
Take Gs = 2.68. (Hints: w*Gs=Sr*e)
2. The increase in effective stress at a depth of 5 m.
(You also need to plot the values of total vertical stress and effective vertical stress
against depth before and after lowering the water table.)
Chapter 12 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- Calculate the collapse load (P) for the two fixed ended beam shown below. P 2 m 4 m L=6marrow_forwardThe vertical stress at a point in soil is σx =400 kN/m², Txz = 50kN/m² while the horizontal stress at the same point is σ =100 kN/m², Tzx = -50kN/m². (a) Draw the Mohr circle that describes the 2D stress state at the point. (b) Find the maximum shear stress that acts at the point and its orientation angle from the horizontal plane. (c) Find the principal stress (σ₁ and σ3) that acts at the point and locate the major principal stress plane and its orientation angle from the horizontal plane (Use the pole method). (d) Determine both the normal and shear stress at a plane that orientates from the major principal stress plane with an angle of 30° (counterclockwise direction) and verify your results with the stress transformation equations.arrow_forward2: A billboard 2 m high x 4 m wide is supported on each end by a pin jointed assembly (bracing not shown for simplification). Total weight of billboard is 32 kN. Given: H = 1m; Angle φ = 60⁰; q = 2.4 kPa.1. Determine the normal stress (MPa) in strut AB with crosssectional dimension 6 mm x 50 mm.2. Determine the normal stress (MPa) in strut BC with crosssectional dimension 8 mm x 40 mm.3. Determine the required diameter (mm) of pin (under double shear) to be used in A or C if the allowable shear stress of the pin is 120 MPa.arrow_forward
- A total load of 900 kN is uniformly distributed over a rectangular footing of size 2 mx3 m. Find the vertical stress at a depth of 1.0 m below the footing at point C, under one corner, and D, under the center. If another footing of size 1 m × 3 m with a total load of 450 kN is constructed adjoining the previous footing, what is the vertical stress at the corner point E at the same depth due to the construction of these two footings. k 3 m 1m 2m E 3 marrow_forwardA soil profile is shown below. If a uniformly distributed load Aσ is applied at the ground surface, what is the settlement of the clay layer caused by primary consolidation if a. The clay is normally consolidated b. The clay is over-consolidated with σzc=200 kPa c. The clay is over-consolidated with σzc=150 kPa (Take Cr 0.03 and Cc = 0.15) Ao 100 kN/m² 2 m 4 m 3.5 m Sand Clay Xtry 14 kN/m³ Groundwater table Yat 18 kN/m³ Yat 19 kN/m³ Void ratio, e 0.8arrow_forwardAn existing 4-lane freeway (2 lanes in each direction) is to be expanded. The segment length is 2 mi (3.2 km); sustained grade: 4%; design volume of 3000 veh/h; trucks: 10%; . buses: 2%; RVs: 3%; PHF: 0.95; free-flow speed: 70 mi/h (112 km/h); right side lateral obstruction: 5 ft (1.5 m); design LOS: B. Determine number of additional lanes required in each directionarrow_forward
- 8.2 onlyarrow_forward5.6 A section of highway has the following flow- density relationship q = 50k - 0.156k2 [with q in veh/h and k in veh/mi]. What is the capacity of the highway section, the speed at capacity, and the density when the highway is at one-quarter of its capacity?arrow_forward8.20 Two routes connect a suburban area and a city, with route travel times (in minutes) given by the expressions t₁ = 6 + 8(x₁/c₁) and t₂ = 10 + 3(x2/c2), where the x's are expressed in thousands of vehicles per hour and the c's are the route capacities in thousands of vehicles per hour. Initially, the capacities of routes 1 and 2 are 4000 and 2000 veh/h, respectively. A reconstruction project on route 1 reduces the capacity to 3000 veh/h, but total traffic demand is unaffected. Observational studies note a 35.28-second increase in average travel time on route 1 and a 68.5% increase in flow on route 2 after reconstruction begins. User-equilibrium conditions exist before and during reconstruction. If both routes are always used, determine equilibrium flows and travel times before and after reconstruction begins.arrow_forward
- 8.19 Three routes connect an origin and a destination with performance functions t₁ = 8+ 0.5x1, t2 = 1 + 2x2, and t3 = 3 + 0.75x3, with the x's expressed in thousands of vehicles per hour and the 's expressed in minutes. If the peak-hour traffic demand is 3400 vehicles, determine user-equilibrium traffic flows.arrow_forward8.8 onlyarrow_forward8.4 Consider a Poisson regression model for the number of social/recreational trips generated during a peak-hour period that is estimated by (see Eq. 8.3) BZ = -0.75 +0.025(household size) + 0.008(annual household income, in thousands of dollars) + 0.10(number of nonworking household members). Suppose a household has five members (three of whom work) and an annual income of $100,000. What is the expected number of peak-hour social/recreational trips, and what is the probability that the household will not make a peak-hour social/recreational trip?arrow_forward
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