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MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
9th Edition
ISBN: 9781305971264
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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Chapter 9, Problem 9.15P
To determine
Find the factor of safety against heave on the downstream side of the single-row pile sheet structure.
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The single degree of freedom (SDOF) system that you studied under free vibration in Assignment #3 - Laboratory Component has been subjected to a strong ground motion. The acceleration at the base (excitation) and the acceleration at the roof (response) of the SDOF system was recorded with sampling rate 50 Hz (50 samples per second, or dt= 0.02 seconds). The file ElCentro.txt includes the two columns of acceleration data. The first column lists the acceleration at the base of the SDOF system. The second column lists the acceleration at the roof of the SDOF system. (a) Plot the time histories of the recorded accelerations at the base and at the roof of the SDOF system. (b) Compute the acceleration, velocity and displacement time histories of the roof of the SDOF system subjected to the recorded base acceleration using the Central Difference method. Plot the accel- eration, velocity and displacement time histories. Plot the restoring force, the damping force, and the inertia force time…
Using the method of virtual work, for the truss shown below, determine the horizontal displacement of joint A. Take A = 180 mm2 and E = 200 GPa for each member.
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- A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data: Wall dimensions: H = 6 m, x₁ = 0.6 m, x2 = 2 m, x3 = 2m, x4 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m Soil properties: 71 = 14 kN/m³, ₁ = 32°, 72 = 18 kN/m³, 2=22°, c₂ = 40 kN/m² Y₁ c₁ = 0 H Φί x5 x6 Use the Rankine active earth pressure in your calculation. Use Yconcrete = 23.08 kN/m³. Also, use k₁ = k₂ = 2/3 and Pp = 0 in the equation FS (sliding) (ΣV) tan(k102) + Bk2c2 + Pp Pa cos a (Enter your answers to three significant figures.) FS (overturning) FS (sliding) =arrow_forwardFor the cantilever retaining wall shown in the figure below, let the following data be given: Wall dimensions: H = 8 m, x1 = 0.4 m, x2 = 0.6 m, x3 = 1.5 m, x4 3.5 m, x5 = 0.96 m, D= 1.75 m, a = 10° Soil properties: 71 = 14.8 kN/m³, ₁ = 32°, Y₂ = 1 2 = 28°, c = 30 kN/m² 17.6 kN/m³, The value of Ka is 0.3210. For 2 = 28°: N = 25.80; N₁ = 14.72; N₁ = 16.72. c=0 H Χς Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete = 21.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in the equation FS (sliding) (ΣV) tan(k₁₂) + Bk2C + Pp Pa cosa (Enter your answers to three significant figures.) FS (overturning) FS (sliding) FS (bearing) =arrow_forwardQuestion 2 The following strains are obtained by a 0-60-120 strain rosette: ε0 = 300 x 10-6, 60 = 200 x 10-6 and 120= 150 x 10-6. i. Determine strains Ex, Ey and Yxy ii. Determine the strains for 0 = 40° iii. Calculate principal strains, maximum shear strain and the orientation of principal strains iv. Determine normal stresses (σx, σy) and shear stress (Txy), if E = 200kPa and v = 0.25. (Hint: You may use stress-strain relationship for plane strain, summarised in matric format as follows: E σχ бу 1-v v 0 Ex = v 1-v 0 Ey txy. (1+v)(1 − 2v) 0 0 0.5 varrow_forward
- A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data: Wall dimensions: H = 6 m, x1 = 0.6 m, x2 = 2 m, x3 = 2m, x4 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m Soil properties: 71 = 15.5 kN/m³, ₁ = 32°, Y2 = 18 kN/m³, 2=22°, c₂ = 40 kN/m² H x6 X2 TXT X3 Use Coulomb's active earth pressure in your calculation and let ' = 2/3 01. Use Yconcrete = 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in equation FS (sliding) (ΣV) tan(k₁₂2) + Bk2c + Pp Pa cos a For 1 = 32°, a = 0°, B = 71.57°, Ka = 0.45, 8' = 21.33°. (Enter your answers to three significant figures.) FS (overturning) FS (sliding) =arrow_forwardFor the cantilever retaining wall shown in the figure below, let the following data be given: Wall dimensions: H = 6.5 m, x1 = 0.3 m, x2 = 0.6 m, x3 = 0.8 m, x4 2 m, x5 = 0.8 m, D= 1.5 m, a = 0° Soil properties: 71 = 17.08 kN/m³, ₁ = 36°, Y2 = 19.65 kN/m³, 2 = 15°, c₂ = 30 kN/m² For 2=15°: N = 10.98; N₁ = 3.94; N₁ = 2.65. x2 .. c₁ = 0 Φί H x5 Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete = 24.58 kN/m³. Also, use k₁ = k2 = 2/3 and P₂ = 0 in equation (EV) tan(k102) + Bk2c₂ + Pp FS (sliding) Pa cos a (Enter your answers to three significant figures.) FS (overturning) FS (sliding) FS (bearing) = = =arrow_forwardA) # of Disinfection Clearwells: 3 B) Clearwell Operation Style: Parallel (to provide contact time for disinfection using free chlorine (derived from a hypochlorite solution generated onsite). C) The facility's existing system to generate hypochlorite onsite has reached the end of its useful life, and the current operating capacity is insufficient to generate the required mass flow of hypochlorite to accommodate the future capacity of 34.5 MGD. Assume the facility plans to stop generating hypochlorite onsite and will instead purchase a bulk solution of sodium hypochlorite D) Sodium hypochlorite (NaOCI) concentration: 6.25% NaOCI by mass E) Bulk Density: 1,100 kg/m^3 F) Clearwell T10/DT Ratio: (CW1 0.43). (CW2 = 0.51), (CW3 = 0.58) DT is the theoretical mean hydraulic retention time (V/Q) G) pH: 7.0 H) Design Temperature: 15°C 1) 50% of Chlorine is lost in each clearwell J) If the concentration going into the clearwell is C, then you can assume that the concentration leaving the…arrow_forward
- Please explain step by step, and show formulaarrow_forwardNote: Please deliver a clear, step-by-step simplified handwritten solution (without any explanations) that is entirely manually produced without AI assistance. I expect an expert-level answer, and I will evaluate and rate it based on the quality and accuracy of the work, using the provided image for additional reference. Ensure every detail is thoroughly checked for correctness before submission.arrow_forwardPlease don't explain it. But draw it out for me kindly. And appreciate your time!. All the info is in the images. Thanks!.arrow_forward
- Design a simply supported one-way pavement slab for a factored applied moment, Mu = 10 ft-kip. Use f c’ = 5,000 psi and f y = 60,000 psi. The slab is in permanent contact with soil.Hint:• Estimate a minimum slab thickness for deflection control.• Solve for the slab steel based on cover for soil contactarrow_forwardThe figures below shows the framing plan and section of a reinforced concrete floor system. Floor beams are shown as dotted lines. The weight of the ceiling and floor finishing is 6 psf, that of the mechanical and electrical systems is 7 psf, and the weight of the partitions is 180 psf. The floor live load is 105 psf. The 7 in. thick slab exterior bay (S-1) is reinforced with #5 rebars @ 10 in. o.c. as the main positive reinforcement at the mid span, and #4 @ 109 in. for the shrinkage and temperature reinforcement. The panel is simply supported on the exterior edge and monolithic with the beam at the interior edge. Check the adequacy of the slab. Use the ACI moment coefficients. fc’ = 6,000 psi and fy = 60,000 psi. The slab is in an interior location. Hint: • Estimate total dead load. Find factored maximum positive bending moment in the end span. • Find design positive moment capacity. • Compare and determine adequacy, including safety and economy.arrow_forward1 For an reinforced concrete two-way slab shown in figure under the load (P). (the slab continuous over all edges - all sides are fixed), Determine (By using yield line theory): A- Draw the Yield line Pattern B- Determine the moment m C- Find The required flexural steel to resist the loads causing the slab to collapse if P = 200 KN, f=28 MPa, fy = 420 MPa d = 120 mm. Use 10 mm bars. (Prin = 0.002) +2 m 6 m -8 m 3 marrow_forward
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