5 Consider the simple beam in Figure 7 with two concentrated loads, where AB-BC-CD-4m: 6kN 12kN A 12m Figure 7 a. Calculate the vertical reactions at points A and D. b. Determine shear force and bending moment as a function of distance x from the point A. с. Draw the shear-force and bending-moment diagrams.

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A: Given data - F1 = 800 NF2 = 1000 N Find out - Distance x and y ?

Q: -160 40 160 Dimensions 40 in mm 40 -160- –160-

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A: Some statements regarding highway and traffic engineering

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A: Consider the figure,

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A: Dimensioning to hidden lines should be avoided wherever possible. We should use auxiliary cross…

Q: PROBLEM 1 Determine the x- and y-coordinates of the centroid of the shaded area. y 0 0 ♡ 100 y = 1+1…

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Q: 80 mm -L- В D 60 mm

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Q: Let F₁ = [F1] N. i) Express F₁ as a Cartesian vector. F₁ X 3 5 4 30° 45° F₂= = 450 N - y

A: To represent F1 as a Cartesian vector. F1 = 647 N

Q: PROBLEM 2 The centroid of the T-section shown is 2.5 inches above the base. What should be the value…

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A: Centroid y = (A1y1-A2y2)/ (A1-A2)

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A: Write all numerators above the common denominatorUse  to expand the expression.

Q: 200 mm 200 mm 400 mm

A: Section  Area  x Remarks  ABC A1  = π42002      = 31400 mm2 x1 = D2    = 2002     =100 mm   AEF…

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Q: y 25 45 55 25 65 80 I 55 165

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Q: What are the internal forces at point C of the beam

A: Find reactions:∑ MB=0RA12-500126-900+900=0RA=3000lbFind reactions:∑ Fy=0RA+RB-50012=0RB=3000lb

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Open Channel Flow

Open channel flow is a branch of fluid mechanics. It deals with the flow of fluid in an open conduit or free surface. In an open channel flow, gravity induces the flow of water whose surface is open to the air. This flow is free-falling rather than confined in rigid body conduits. The open channel flow depends upon two parameters that are the cross-section of the conduit and the velocity profile. Practical examples of open channel flow are streams, rivers, canals, and other drainage systems.In open channel flow, the cross-sectional area of at least one of the sides is exposed to air, and the surface of water faces atmospheric pressure. This flow is also known as free gravity flow. The cross-sectional area of the conduit can be either man-made or a natural channel. For instance, the flow in rivers and streams are natural conduits, and the flow in a canal and sanitary systems are man-made or engineered channels.