pls give a full handwritten solution to this and include free body diagrams 1) Determine the position a of the roller support B in terms of L so that the deflection atend C is the same as the maximum deflection of region AB of the overhang beam. EIis constant. Use the Moment Area method.MoB2) A propped cantilever beam of length 2L is loaded by a uniformly distributed load withintensity q. The beam is supported at B by a linearly elastic spring with stiffness k. Usethe method of superposition to solve for all reactions. Let k = 6EI/L³.90ABCLL-X

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Answered: 1) Determine the position a of the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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FULL HANDWRITTEN SOLUTIONS PLEASE
Learning Goal: To determine the support reactions in a statically indeterminate beam using the moment- area method. Part A - Support reaction force at B The beam shown has length L = 15.0 ft and is loaded with the applied moment M = 210 kip - ft at B. Assume EI is constant. (Figure 1) Using the moment-area method, determine the magnitude of the unknown support reaction at B due to the applied moment. Express your answer to three significant figures and include appropriate units. > View Available Hint(s) ? |By| = |10.5 kip Submit Previous Answers
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that EI is constant for the beam. Let w0 = 6 kN/m, L = 5.5 m, E = 195 GPa, and I = 140 x 106 mm4.
Part A is already answered and correct please solve part B
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the slope at A, (c) the slope at B, and (d) the deflection at midspan. Assume that El is constant for the beam. Let Mo = 50KN-m, L= 4.5 m, E= 180 GPa, and I = 115x 106 mm4. Mo B Answer: (b) 0A = i rad (c) Og = i rad (d) vmid = i mm
DONT USE AI!!
Sample Problem: Determine the reactions for the beam loaded as shown in the figure 15 KN/m below. 12 KN 6 KN /m 3m Rz R. 1.5 m
4
Problem 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.
At what distance, "a" should the bearing supports at A and B be placed so that the displacement at the center of the shaft is equal to the deflection at its ends? The bearings exert only vertical reactions on the shaft. Use conjugate beam method. (EI is constant)
For the beam loaded as shown, use the method of superposition to determine the deflection of the beam at end A. Assume the following values: El = 2.8 x 104 kN-m² (constant for entire beam) L = 15 m w = 56 kN/m Answer: VA= i B W mm L C
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 9 kN/m, L = 5.5 m, E = 220 GPa, and I = 100 x 10° mm“. |B L Part 1 Incorrect Cut a cross-section through the beam at any point and draw a free body diagram to the right of your cut. Determine the internal bending moment M(x). The diagram shows M(x) in its positive direction. Your answer may be negative. Check your equation by solving for M at x = 2.8 m. Wo M(x) |B L-x Answer: M(x = 2.8 m) = i ! kN-m

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