Forget-me-nots: Beam subjected to a load See figure underneath, a loaded beam ABC supported at A and C. Determine the displacement at point B. The following information is given: AC=3540 mm b= |P= 55 kN 1880 mm EI = 4.8-106 Nmm² P a b B C (Deze afbeelding is overgenomen uit Hibbeler) Point B deflects: Number mm (± 0.1 mm)
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- Use the conjugate beam method to determine the magnitude of the deflection at C (in feet). Assume A is a pin and B is a roller. El = 78,750 k-in² and is constant. P=20 kips, w = 1.8 kips/ft. A -5 ft- P |D 5 ft B -5 ft ic 643Problem 2 (30 points): The formula for the deflection of the beam shown is: Wo y(x) = (-x5 + 5Lx-10L?x3 + 10L³x²) 120LEI Wo 15 x 107 N L = 2m %3D max m E = 7 × 1011 N m2 I = 6 x 10-4m Use the Newton-Raphson Method to determine the x location along the beam where the deflection is y(x) = 0.14 m. Use a starting guess of xo 1.2 m. Be sure to show your %3D calculation for the derivative of the function and your calculations you use to fill out the table. You only need to perform two iterations of the method, which means you should fill out the table below. Notice that y is defined as positive in the downward direction, which means that both the function and the target deflection are positive values in the coordinate system. y(xn) y'(xn) Xn+1 Step Xn 2.For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan (i.e., x = 2.45 m). Assume a constant value of El = 1270 kN-m² for the beam; M₁ = 9 kN-m, wo = 19.8 kN/m, LAB = 1.1 m, LBc = 2.7 m. MA A Answer: (a) VA = (b) Vmid i LAB i Wo B LBC mm. mm.
- 8. At what distance a should the bearing supports at A and B be placed so that the deflection at the enter of the shaft is equal to the deflection at its ends? Use MAM. The bearings exert only on the hafts. The flexural rigidity is constant. 9. For this beam example, let's say we are interested in finding the deflections at every key point of the beam (A, C, and E) using the conjugate beam method. 10. Determine the equations of the elastic curve using the coordinates x1 and x3 and specify the slope and deflection at point B. El is constant.The beam is subjected to the distributed loading as shown. Use E = 30,000 ksi, I = 394 in.4 , L = 23 ft, the max load distribution density at B w0 = 5 kip/ft, calculate the deflection at the middle of the beam: ___ in. Use apendix at end of the textbook and write down all the steps which lead to your anser. Pay attention to unit conversion, and calculate your answer to 1 decimal placeC) Ose Castigtion's theorm to find vertical deflection in pant ca) for the beam shown below, E=200GRa I=30010 mm 30kJ ta - 3m 3m
- 4) Find the deflection midway between the supports. 4 kN/m 5 kN 1m 2 kN.m 2m 2m 2m 2m 5 mm E=200 GPA 20 mm 50 mm Beam Cross-Section Ra=2.61kn Rb=14.39kn Solve it by using singularity functionsFor the beam shown below, compute the following: Assume El = 1 X 10³ N-m² W = 300N/m 1.5m 0.5m 2 m R1 (16-20) Compute the mid-span deflection y = = (21-25) what is the max. deflection Y max _mm R2Hi, I want to find the location on the beam where the maximum bending moment happens as measured from point A. I have already gathered the following information. FAx= 0 FAy= 25.0869 FCy= 32.913 the sheer force at B= 3.087 The bending moment at B = 77.4785 Let the loading coefficents be: W1 = 4 kN/m, W2 = 8 kN/m Let the lengths be: L1 = 5.5m , L2 = 6m. If anyone could help me with this last step of the problem that would be great.
- The simply supported W8X24 A-36 steel beam AB is loaded as shown in the figure. What is the slope of point B in radians if w = 5.7 kip/ft, L 16.5 ft, Mo = 6.2 kip-ft? Note: Your answer should include units and be to 4 decimal places. Mo Aरू 늘 -Q1. A simple supported beam of span 9m carries two points loads 210 KN & 125 KN at 2m & 6m from left support. The beam also subjected to distributed load 26KN/m as shown in figure. Determine the max. slop at x-0 and x-9, and find the deflection in center of beam. El is constant. 125KN 210KN 26KN/m A -2m 6m 9m*// For a simple beam loaded as shown in Figure 1. Determine the deflection at the position midway between the supports. Take E-200GN/m². 25 + 12 RA 25 kN C D -2 m2 m2 m- 37 -3 kN/m 6 82 kN-m UPS NEWS SOR 312 -2 m-42 m-) D Figuno 1 RB 30- 120- 250- 30 300 30