Replace the loading equivalent resultant force and specify its location on the beam, by 800 6At an measured from point B. FR = 10650 lb = 10.6 kip -x = 0.479ft to the right of B 12 If Aqeel Talib Department of Coa C
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- A tapered cantilever beam AB supports a concentratedload P at the free end (see figure). The crosssections of the beam are rectangular with constantwidth b, depth dA at support A, and depth dB = 3dA/2 at the support. Thus, the depth d and moment of inertiaI at distance x from the free end are, respectively, d = (dA/2L)(2L+x) I=(bd3/12) =(bd3A/96L3)(2L+x)3 = (IA/8L3)(2L+x)3in which IA is the moment of inertia at end A of thebeam.Determine the equation of the deflection curveand the deflection δA at the free end of the beam dueto the load P.Determine the reactions at a and b for the beam subjected to the concentrated loads Ay= ? (Not 8.77 or 4.85 previous failed attempts on my behalf) bx = 7.2 Ax = ? (Not 1.9 or -.3365)Before the load P was applied, a gap, ?0(2.75mm) existed between the cantilever beam AC andthe support at B. Knowing that E=200 GPa, determine the magnitude of P for which thedeflection at C is δ(5.5mm) and the reaction at B. (Hint: Use the method of superposition and beam deflections in Appendix A)
- A cantilever beam is propped at the free end and carrying a uniform load of 400 kN/m throughout the span of 6 m. Assume El = 1 x 10⁶kN.m². 1. Which of the following most nearly gives the reaction at propped end? a. 800 kN b. 900 kN c. 100 kN d. 980 kN 2. Which of the following most nearly gives the nearest deflection at the free end if the propped support is removed? a. 64.8 mm b. 72.5 mm c. 55.8 mm c. 65.4 mm 3. Using superposition method, which of the following most nearly gives the deflection at the free end if 1 unit load (1kN) upward force is applied at that end when the support is removed? a. 63.142 mm b. 62.147 mm c. 64.728 mm d. 65.842 mmThe beam is supported by a pin at A, a spring having a stiffness at B, and a roller at C. Determine the deflection at B. EI is 40788045.2 kNm². a. 1.50 mm b. 0.404 mm c. 1.40 mm d. 0.912 mmA 300 mm x 300 mm concrete column which is pin connected at both ends has an unsupported length of 4.6 meters. The column is carry a total factored axial load Pu = 300 kN and a lateral concentrated load of 90 kN acting at the mid-height of the column. Assume fc’ = 21 MPa and Bdns = 0.15. Compute the total moment including the secondary moment due to lateral deflection.a. 75.852 kN.m. c. 124.614 kN.m.b. 635.785 kN.m. d. 90.872 kN.m
- A horizontal propped cantilever of length L is securely fixed at one end and freely supported at the other end and is subjected to a bending couple M in the vertical plane containing the longitudinal axis of the beam. If the couple is applied about an axis 0.75L from the fixed end of the cantilever, determine the end fixing moment and the reaction at the freely supported end. [Ans:1.406 ?/? ; 0.406?]A 400 mm x 15 mm cover plate is attached at the top and bottom of a wide flange 21 x 62 in two rows of 22 mm diameter rivets. The beam has a simple span of 8 m and carries a uniform load of 250 kN/m. The depth of the beam is 0.56 m and Ix = 0.00122 m⁴. 1. Which of the following most nearly gives the distance from the neutral axis to the centroid of the cover plate? a. 266.5 mm b. 287.5 mm c. 256.5 mm d. 278.5 mm 2. Which of the following most nearly gives the centroidal moment of inertia? a. 0.002212 m⁴ b. 0.0056 m⁴ c. 0.004414 m⁴ d. 0.0036 m⁴ 3. Which of the following most nearly gives the value of pitch of rivets if the capacity of each rivet is 50 kN? a. 118.1 mm b. 138.4 mm c. 148.6 mm d. 128.2 mmDetermine the maximum deflection of the beam Group of answer choices (-PL^3)/48EI (PL^3)/48EI (PL^2)/16EI (-PL^2)/16EI
- A support is a fixed support, B is a movable support, and the distance of the cantilever in both directions is given as 3 m, triangularThe normal force (N), shear force (V) of the frame system acting on distributed loads, uniformly distributed loads and single loads.draw bending moment (M) diagrams? (AC = 1m, CD = 2m, Console overhangs: 3m, OD = 4m, OE = 4m,BE= 2m)Compute the value of EI5 at the right end of the overhanging beam. 360 1b 120 Ib/ft |~—l°ft—-|-—6fl—> FIG. P6.43The roof is supported by cables as shown in the photo. If the cablesexert forces FAB = 100 N and FAC = 120 N on the wall hook at A asshown , determine the resultant force acting at A. Expressthe result as a Cartesian vector.