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- The force F = {6i + 8j + 10k} N creates a momentabout point O of MO = {-14i + 8j + 2k} N ⋅ m. If theforce passes through a point having an x coordinate of 1 m,determine the y and z coordinates of the point. Also,realizing that MO = Fd, determine the perpendiculardistance d from point O to the line of action of F. Note: Thefigure shows F and MO in an arbitrary position.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.18 BEAM ABC is fixed at both ends (A&C) and hinge supported at B. AB=6m (3I) BC=5m (2I), the beam carries a uniform load of 8KN/m from A-B and concentrated load of 36KN 3m from C. Use moment distribution method (1cycle) Determine the moment at A Group of answer choices -23.46KNm 25.08KNm -17.70KNm -25.08KNm
- An indeterminate beam loaded a uniformly distributed load from A to B, from B to C, a linearly varying from 0 to 6 kN/m, is fixed at points A and C, and a roller at point B. The flexural rigidity is constant from A to C. Use E = 180 GPa, I = 1024 x 106 mm4Calculate the reactions and draw the shear and bending moment diagram for this beam using Slope Deflection Method.A continuous beam is supported by a spring at D with spring constant of 40kN/m as shown. Determine the reactions at the supports A and B and the spring force and draw the bending moment diagram. Given E=200GPa, I=4×107mm4 . (Hint : take the spring force as unknown). (Ans : Ay=-9.495kN, By=24.848kN, Dy=4.646kN)Draw the shear and moment diagram of member EF.Data:L=16ftw1=0.5 kip/ftw2=1.4 kip/ftF3=0.65 kipF4= 1.5 kip
- Determine the magnitude of the moment produced by force F={-3i+8j+6k}N about the diagonal axis AF of the rectangular block. MAF=?An indeterminate beam loaded a uniformly distributed load from A to B, from B to C, a linearly varying from 0 to 6 kN/m, is fixed at C, and a roller at point A and also in point B (where it settled 25 mm downwards here). The flexural rigidity is constant from A to C. Use E = 180 GPa, I = 1024 x 106 mm4 .Calculate the reactions and draw the shear and bending moment diagram for this beam using Slope Deflection Method.Compute all reactiosn for the beam in FigureP9.15 assuming that the supports do not move; EI is constant. (b) Repeat computations given that support C moves upward a distance of 288/EI when the load is appleid
- Don't round off initial values, round off only in final answer ty. What is the Maximum moment in kN-m. Given: w=47, a=5, b=3, and c=1A rectangular beam has the following properties: fc'=28MPa fy=270MPa b=300mm d=450mm As=4 of 36mm diameter bars Compute For: 1.) If the fc' is reduced by 50%, the difference in the magnitude of the ultimate moment capacity is Blank 1kN.m.Use Area-Moment Method in solving the problem. Consider 150 mm x 150 mm section and E = 80 GPa. A=2.8 B=24.0 C=28 Determine: Vertical Reaction at B in kN. Moment Reaction at A in kN-m.