Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN: 9781305081550
Author: Braja M. Das
Publisher: Cengage Learning
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What are differences in normal depth calculations seen comparing the rectangular and trapezoidal configuration? Which are higher/lower?
) Evaluate the stability of the 3 m wide x 4 m deep (into the page) x 2 m tall block with a SG of 0.5 shown below in seawater (SG = 1.03) by determining the displaced depth and the metacenter height.
A layer of stiff saturated clay is underlain by a layer of sand (Figure 9.5). The sand is under artesian pressure. Calculate the maximum depth of cut H in meters that can be made in the clay. H1=8.1m, H2=3.56m, ysat(????)=18.9 kn/m3
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- A structure is attached to the ocean floor as shown in the figure below. A 2-m-diameter circular gate/hatch is set at a 30-degree incline on the structure. (Part a) Determine the magnitude (in kN) of the hydrostatic force of the seawater (specific weight = 10.1 kN/m3) on the circular hatch. (Part b) Determine the location of the force as an inclined distance from the free surface, ?? (report the location to three decimal places).arrow_forwardDetermine the total active thrust, in kN/m, for a retaining wall (height 4.54 m.) with horizontal backfill given the following properties: Unit weight = 17.74 kN/m3, Angle of internal friction = 34°, Cohesion = 11.33 kPa, and Surcharge = 8.57 kPa. Round off to two decimal places.arrow_forwardQ9.1 - A 25-m high rock cut with a face angle of 60° has been excavated in a massive, very weak volcanic tuff. A tension crack has opened behind the crest and it is likely that the slope is on the point of failure, that is, the factor of safety is approx imately 1.0. The friction angle of the material is estimated to be 35°, its density is 25kN / (m ^ 3) and the position of the water table is shown on the sketch of the slope (Figure 4). The rock contains no continuous joints dipping out of the face, and the most likely type of failure mode is circular failure. Required- (a) Carry out a back analysis of the failure to determine the limiting value of the cohesion when the factor of safety is 1.0. (b) Using the strength parameters calculated in (a), determine the factor of safety for a completely drained slope. Would drainage of the slope be a feasible method of stabilization? (c) Using the ground water level shown in Figure 4 and the strength parameters calculated in (a), calculate the…arrow_forward
- Determine the total active thrust, in kN/m, for a retaining wall (height 5.60 m) with horizontal backfill given the following properties: Unit weight = 17.42 kN/m3, angle of internal friction = 32 degrees, Cohesion = 11.76 kPa, Surcharge = 9.32 kPa.arrow_forward1. A vertical cut is made through a homogeneous soil mass (c=20 kPa,ϕ=20°,γ=16.50 ?? ?3 ⁄ ). Estimate thesafe depth of the cut, taking a factor of safety of 2 using Culmann’s methodarrow_forwardA rectangular channel with a width of B = 2 m drains water with a discharge of Q = 2,4 m3/s. The depths of water at an adjacent point are 1,5 m and 1,4 m. If the Chezy coefficient is 50 and the slope of the Io channel base = 0,0004, calculate the distance between the two faces. Continue to normal depth with the direct step method.arrow_forward
- Refer to Problem 8.4. Using the flow net drawn, calculate the hydraulic uplift force at the base of the hydraulic structure per meter length ( measured along the axis of the structure).arrow_forwardA trapezoidal channel has a bottom width of ?=6??and sideslopes of ?=2(1?:2? a.Determine the critical depth in this channel if thedischarge is ?=290???.b.calculate and plot the specific energy diagramarrow_forwardConsider the smooth retaining wall shown in the figure below. Calculate the overturning moment at Point O in kN.m due to the surcharge only applied behind the wall. Assume that the surcharge is applied over a wide area. Consider a 1 m thickness in the out-of-plane directionarrow_forward
- A cut slope of h= 7m was excavated in a saturated clay with a slope of angle beta = 45 degrees with the horizontal. The Previous explorations showed that a rock layer was located at a depth of 14 m. Given that, c = 60 kN/m² and unit weight = 17 kN / (m ^ 3) . Determine the factor of safety.arrow_forwardA level site underlain by fully saturated clays is cut over a few days as shown in the figure below. The water table is located at the ground surface across the site. Determine the resisting moment in kN.m for the circular slip surface depicted in the Figure below shortly after excavation. Consider the soil wedge above the circular slip surface as a single free body, whose plane area is equal to 100 m2 and the centre of gravity of the soil wedge is given at Point C.arrow_forwardIn a rectangular channel 4m wide with Q=7.65m3/s the depth is 0.4m. If a hydraulic jump is produced, (a.) what will be the depth immediately after it? (b.) what will be the loss of energy?arrow_forward
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