200 lb/ft Determine the Moment (in Ib-ft) at R2 using 3 Moment Equation for the Continuous Beam shown in the figure. a. 13333 b. -1250 C. 36667 d. -3750 10 ft 10 ft R1 R2 R3
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- 20 -In the cantilever beam in the figure, bar clearance L= 225 cm and single load acting on the free end of the bar P = 12 kN. The cross-sectional effects at point B will be calculated. Accordingly, the Moon on the fixed support at point A=? A) None.B) 27000C) 12000D) 0E) 9000A 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.Moment Distribution Method Given the continous Beam Determine the following: A. Supports Reaction b. Draw the Shear and Moment Diagram AB=3I BC=10I CD=2I
- 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)A W10 × 60 A992 steel column is 16 ft tall with translation and rotation fixed at both ends of thecolumn and for both axes. The column supports a concentric axial dead load of 13 kips and a concentricaxial live load of 39 kips. There is no moment about the y-axis. Take the lateral-torsional bucklingmodification factor as Cb = 1.0. Which of the following is most nearly the maximum moment that canbe placed on the x-axis? (LRFD options are in parentheses.) Choose the correct answer. (A) 133 ft-kips (220 ft-kips)(B) 142 ft-kips (237 ft-kips)(C) 150 ft-kips (257 ft-kips)(D) 166 ft-kips (280 ft-kips)A continuous beam is loaded as shown 18. Which of the following gives the fixed end moment AB in kN-m? a. 12 kN-m b. 8 kN-m c. 10 kN-m d. 5 kN-m 2. Which of the following gives the distribution factor at B for the member BA in %? a. 33.3% b. 66.6% c. 35.47% d. 45% 3. Which of the following nearly gives the moment at B using moment distribution method in kN.m? a. 12.89 b. 13.2 c. 11.2 d. 14.6
- 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.(a) Solve the following indeterminate beam by the moment distribution method. Determine the reactions and draw the bending moment diagram. (b) If support B and support C settle downward by 0.008m and 0.004m, determine the reactions and draw the bending moment diagram. Given E=200*106 , I=10-5 . (Ans : (a) Ay=7.755, By=8.471, Cy=15.101, Dy=28.673, MAB=-6.676, MBA=5.399, MBC=-5.399, MCB=16.118, MCD=-16.118; (b) Ay=10.193, By=11.429, Cy=30.059, Dy=8.319, MAB=-13.298, MBA=-0.165, MBC=0.165, MCB=16.724, MCD=-16.724)The 450N plate is attached to collars which may slide on the vertical rod. If the coefficient of static friction is 04 between both collars and the rod determine the maximum supporting force available from friction when F = 0 and when F = 200N; a = 2.75m , b = 4.5m , c = 2m Show solution, the answer is 618.75