Concept explainers
Repeat Problem 2.14 with the following values: Gs = 2.75, temperature of water = 21°C, t = 88 min, and L = 11.7 cm.
2.14 A hydrometer test has the following result: Gs = 2.65, temperature of water = 26° C, and L = 10.4 cm at 45 minutes after the start of sedimentation (see Figure 2.25). What is the diameter D of the smallest-size particles that have settled beyond the zone of measurement at that time (that is, t = 45 min)?
Figure 2.25 ASTM 152H type of hydrometer placed inside the sedimentation cylinder (Courtesy of Khaled Sobhan, Florida Atlantic University, Boca Raton, Florida)

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Chapter 2 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
- Select a W-shape for the following conditions: Beam spacing = 12 ft Span length = 25 ft Slab and deck combination weight = 43 psf Partition load = 20 psf Ceiling weight = 5 psf Flooring weight = 2 psf Live load 160 psf Fy = 50 ksi The maximum live load deflection cannot exceed L/340. Shape Mp (ft-kips) M₁/ (ft-kips) Vn (kips) Vn/v (kips) Ix (in. Vn/n, (kips) I. (in.) W14 × 61 383 254 156 104 640 W21 × 44 358 238 217 145 843 W16 × 50 345 230 186 124 659 W18 × 46 340 226 195 130 712 a. Use LRFD. Calculate the required moment of inertia, the required moment strength, and the maximum shear. (Express your answers to three significant figures.) Ix = in. 4 Μι = Vu Select a shape: -Select- b. Use ASD. ft-kips kips Calculate the required moment of inertia, the required moment strength, and the maximum shear. (Express your answers to three significant figures.) Ix Ma = Va = Select a shape: -Select- 4 in. ft-kips kipsarrow_forwardThe beam shown in the figure below has continuous lateral support of both flanges. The uniform load is a service load consisting of 70% dead load and 30% live load. The dead load includes the weight of the beam. 6 k/ft +9 18' If A992 steel is used, is a W12 × 35 adequate? For A992 steel: Fy = 50 ksi. bf h For W12 x 35: = 6.31, = 36.2 in., Zx 2tf tw (Express your answers to three significant figures.) a. Use LRFD. Mu Фомп = ft-kips ft-kips A W12 × 35 is -Select- b. Use ASD. Ma = ft-kips Mn ft-kips 26 A W12 × 35 is -Select- = +6→ 51.2 in. 3arrow_forwardVerify the value of Zx for a W10 × 30 that is tabulated in the dimensions and properties tables in Part 1 of the Manual. For W10 × 30: Ag Use the table below. - 8.84 in.2, d 10.5 in. AISC Manual Label y (in.) WT 9 × 25 2.12 WT 8 × 25 1.89 WT 7 × 24 1.35 WT 6 × 25 1.17 WT 5 × 15 1.10 (Express your answer to three significant figures.) Zx = 3 in.arrow_forward
- determine the horizontal displacement of joint A of the truss. Each member has a cross sectional area of A=300mm2, E=200GPa. Use the method of virtual work and show all workingarrow_forwardFor the frame shown below, determine the vertical displacement at C. Assume that flexural rigidities AB and BC segments are EI and 2EI, respectively. Use the method of virtual work and show all working.arrow_forwardDETERMINE THE BEARINGS OF THE POLYGON/TRAVERSEarrow_forward
- 54 7h de зк +F B + 8 8 Ө 6 A=Sin² E=290ooks for diagonal members A= 30.25in² E = 1800 ksi for hoizontal & Vertical members For Primary Structure revive roller@c, make Da roller and cut BF For redundant structures Redundant " " 2 склес しん Ik @D 3 14 @ BF しん ↑arrow_forwardA3.2- The 4.5m long cantilever beam is subjected to the specified uniformly distributed dead load 7.0 kN/m (including self-weight) and to the specified uniformly distributed live load 8.0 kN/m. The beam is made of normal density concrete containing maximum 20mm aggregate size with f'c = 25 MPa. Design the shear reinforcement for the beam using U-stirrups and fy = 400 MPa. Figure 2 WDL = 7.0 kN/m WLL=8.0 kN/m 4.5 m 450 mm' 380 mm *250 mm 3-30M Cross-sectionarrow_forwardA3.1- A simply supported beam is subjected to factored concentrated load of 400 kN at mid-span. The beam has a 10m span and a rectangular cross-section with bw = 350mm, effective depth d = 520mm, and total height h = 620mm. a) Ignor the self-weight of the beam and design the required shear reinforcement for the beam. Use 10M U-stirrups. b) Sketch the beam elevation and show the stirrups. Given: The beam is reinforced with 5-25M longitudinal bars f'c = 30 MPa fy = 400 MPa Maximum aggregate size: 20mm Figure 1 P= 400 kN k 5.0 m + 5.0 m 620 mm 520 mm 350 mm + Cross-sectionarrow_forward
- + 54 7h de зк +F 8 B 8 Ө 6 For Primary Structure remove and cut BF For redundant structures Redundant " " 2 склес しん Ik @D 3 14 @ BF しん ↑ A=Sin² E=290ooks for diagonal members A= 30.25in² E = 1800 ksi for hoizontal & Vertical members roller@G, make Da rollerarrow_forwardAn urban freeway is to be designed using the following information. AADT = 52,600 veh/day K (proportion of AADT occurring during the peak hour): D (proportion of peak hour traffic traveling in the peak direction): Trucks: 0.11 0.65 8% of peak hour volume PHF = 0.94 Lane width: Shoulder width: Total ramp density: Terrain: 12 ft 10 ft 0.5 interchange/mile; all interchanges are to be cloverleaf interchanges rolling Determine the number of lanes in the peak direction required to provide LOS C. (Assume commuter traffic and assume no RVs.) lanes Show all calculations required. (Calculate your answers for the peak direction only. Enter fy the peak hour volume in veh/h, the free flow speed in mi/h, the demand flow rate in pc/h/In, the mean speed in mi/h, and the density in pc/mi/In.) fHV peak hour volume free flow speed demand flow rate mean speed veh/h mi/h pc/h/In mi/h density pc/mi/Inarrow_forwardThe beam shown in the figure below is a W16 × 31 of A992 steel and has continuous lateral support. The two concentrated loads are service live loads. Neglect the weight of the beam and determine whether the beam is adequate. Suppose that P = 56 k. For W16 x 31: d=15.9 in., t = 0.275 in., h/t = 51.6, and M = M₁ = 203 ft-kip, M/ P P = = Mp/ =135 ft-kip. 6' W16 x 31 a. Use LRFD. Calculate the required moment strength, the allowable shear strength, and the maximum shear. (Express your answers to three significant figures.) = Mu QvVn Vu = = Beam is -Select- b. Use ASD. ft-kip kips kips Calculate the required moment strength, the allowable shear strength, and the maximum shear. (Express your answers to three significant figures.) Ma = Vn/b Va = = Beam is -Select- ft-kip kips kipsarrow_forward
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