Evaluate how different models of construction systems use first-order differential equations to solve structural or environmental problems. D4 Evaluate first- and second-order differential equations when generating the solutions to construction situations.

Q: Q2) Convert the following arrow network into a node network. 20 di d2 D (35) d4 d3 ds (50 H d6 d8 K…

A: Drawing;

Q: A rectangular open channel carries a discharge of 15 m³/s when the depth of flow is 1.5 m and the…

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Q: Could you use soil vapor extraction to remediate an area the size of 0.375 km2 ? The contaminant is…

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Q: A force of 13 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the…

A: Given;F = 13 poundsw = 6.4 poundsbut w = mg

Q: Question A frame as shown in figure 4 is fixed at node 1 and 4 carries a uniformly distributed load…

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Q: A company that manufactures memory chips (m) for digital cameras uses the formula

A: Company manufacturers memory chips (m) for digital cameras,it uses formulac = 3/n(40n+9y^n)

Q: A wide channel is 1m deep and has a velocity of flow, V, as 2.13 m/s. If a disturbance is caused, an…

A: Given  data :Depth , y = 1 mVelocity of flow , V = 2.13 m/sWide channelTo Determine Elementary wave…

Q: FOR A GIVEN SOIL SAMPLE, THE FOLLOWING ARE KNOWN. ES=2-74, MOIST UNIT WEIGHT = 20 6 kN/m², AND…

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Q: 2. Derivation of the cross section core. a) Determine the core of the cross section shown below. b)…

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Q: The beam ABC, Fig.3, is fixed at A and roller supported at B,C. Analyse the beam using the moment…

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Q: What is the classification of the structure shown below? Hinge Hinge Hinge O a. Internally unstable,…

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Q: What moisture condition should the coarse and fine aggregate be in when mixing the concrete? A…

A: Mixture of cement, fine aggregates , coarse aggregates ,water and admixtures in defined proportions…

Q: What will be the unit weight of a fully saturated soil sample having water content of 37% and grain…

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Q: At an axial load of 22 kN, a 15-mm-thick x 45-mm-wide polyimide polymer bar elongates 3.9 mm while…

A: Axial load (P) = 22 KN Cross section of bar =  15mm thick × 45mm wide Elongation in bar along axial…

Q: yo tong s helb molins bulle ons 2.) IN A CONSTANT-HEAD PERMEABILITY TEST, A COIL SAMPLE IS COMPACTED…

A: To determine the permeability of soil. (in cm/sec)

Q: A simply supported beam with spans of LAB = 5 ft and LBC = 15 ft supports loads of w = 7.5 kips/ft…

A: Determine a. Maximum horizontal shear stress in the beam. b. Maximum bending stress in the beam.

Q: Calculate the bending stress and shear stress values and draw the stress diagrams next to the…

A: Moment (M) = -14 tm Shear force (T) = 10t Determine the bending stress and shear stress and it's…

Q: Using: Conjugate beam method and Considering the beam provided. If EI = 200000 kNm^2? Determine the…

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Q: Given the figure above, compute for the 24-Hour Traffic of Passenger Car: * A.None of the above B.72…

A: Table 1 shows the number of traffic of various vehiclesTable 2 shows the factors.24 hour factorTo…

Q: 4.15 Knowing that for the casting shown in the figure the allowable stress is 6 ksi in tension and…

A: Allowable stress in tension= 6ksiAllowable stress in compression=15ksiTo find largest couple that…

Q: Compute the maximum acceptable tensile SERVICE LOAD that may act on a single tee section that is…

A: We know that LRFD capacity of the connection is given by minimum of the below three capacity1) Gross…

Q: Stop D: The High Level LRT bridge section (UTM 333280 5934116, NAD 83) Immediately west of the LRT…

A: Origin of the silty sediment exposed in the section intermediately west of the bridge.The silt is…

Q: Determine the safe load P that the member below can carry using ASD and LRFD. The column is W18x60,…

A: W18x60 :A = 11400mm^2Rx = 189.64mmRy = 42.82mmFy = 350 MPa Calculations shown in steps below

Q: Bar AB is rigid and is attached to the steel and aluminum rods as shown in the figure. Before the…

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Q: The stepped shaft shown rotates at 480 rpm. Knowing that r = 0.2 in. and using figure 3.28,…

A: Given;N = 480 rpmr = 0.2 ind = 5 in.D = 6 in.

Q: 2. 0A. AA. E=29 x 106. I= 1000 in... 4 klf 12 ft A 12 ft-

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Q: Calculate the governing load combination for a secondary beam with effective width = 2.0 m Dead load…

A: Effective width = 2.0 mDL = 3.0 kPaCeiling services = 1.0 kPaSelf-weight of beam = 1.0kN/mImposed…

Q: Your assignment in the module „Work Methodology" is closely linked to „Main Project I“, the project…

A: Here's a step-by-step guide to creating and executing the intervention:Step 1: Define the Objectives…

Q: EXAMPLE 4.5. Water with a density of 998 kg/m³ (62.3 lb/ft³) enters a 50 mm (1.969-in.) pipe fitting…

A: Apply Bernoulli's energy equation at entry and exit=Pa = gauge pressure at inletPa = 100 KN/m2 Va =…

Q: he floor system of a gymnasium consists of a 130-mm-thick concrete slab resting on four steel beams…

A: From the table of Unit weight of materials, we getUnit weight of concreteUnit weight of structural…

Q: Determine the moments at all supports. EI is constant. Support A and C are fixed. Support B is…

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Q: Determine the reactions and draw the shear and bending moment diagrams for the beam for the loading…

A: Determine the reactions and draw the shear and bending moment diagrams for the beam for the loading…

Q: A tension member in a roof truss is composed of two ASTM A36 structural steel angles that together…

A: The roof truss is made up of ASTM A36 structural steelThe allowable tensile stress,  = 22000 psiThe…

Q: A four- lane road need to mix a liquid asphalt with a soil is (24 cm) thick and liquid asphalt…

A: Given,Four lane road, assume width = 14 mQuantity of asphalt per 1 km = 569225 litres = 569.225 S.G…

Q: Draw the Normal Force (N), Shear Force (T) and Bending Moment (M) diagrams of the beam whose loading…

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Q: The static Indeterminacy of the structure shown below is. Во -Hinge F D E

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Q: M Deter MINE THE MAX Dez of the Beam

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Q: A flow net for seepage under a sheet pile wall has n₁= 4, n = 8 and the permeabilities of the soil…

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Q: 1. Why was wood ideal for building in Japan's climate? 2. Summarize the important characteristics…

A: 1. Due to its lightness and adaptability, wood was an excellent building material for Japan because…

Q: Aer 3 300 100

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Q: The following steel column can be considered pinned at its top and bottom and braced against its…

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Q: The sign has a mass of 100 kg with a center of mass at G. Determine the components of the reaction…

A: The mass of the sign = 100 kgThe weight of the rod AB is to be neglectedTo determine:-The components…

Q: In the two-member assembly shown, find the axial force in rod (1) if P = 10.1 kips. 8 ft O 8.17 kips…

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Q: Determine the magnitude and direction, measured counterclockwise from the positive x-axis, of the…

A: We know that the magnitude of the resultant can be determined using Cosine's law FR = FA = 825 NFB =…

Q: 90 kNm 30.0 KN 3 m 30 kN B C 1m

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Q: Determine the unit stress sustained

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Q: Question Wall thickness of a thin cylinder shell of 800 mm internal diameter is 10 mm. length of the…

A: A thin cylinder shell-Internal diameter d=800 mm,Wall thickness t=10 mm,Length of cylinder l = 2…

Q: B 135 KN F Н 8 135 KN 135 N 135 kN 135 KN 8 panels at 6m = 48m 7.6 135 KN А 7.2 135 KN P

A: Use method of joint to find forces in all the members

Q: 5 Consider the following statements which relate to different types of water surface profiles. Curve…

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Capacity and Level of Service at Intersections

The term capacity is associated with transportation engineering. Capacity helps to understand how many pedestrians or vehicles can be handled by a transport facility. Level of service is also a term associated with transportation engineering. The level of service indicates the performance of the transport facility.