(a) Draw qualitatively the deflection curve based on the bending moment diagram. (b) Determine the deflections at B and D, and the slope at C by the moment area method. (c) Locate the point of maximum deflection in AB and compute its magnitude. (E = 200GPa, I = 107mm4 )

A simple beam AB supports five equally spaced loads P (see figure). (Solve the problem by the method of superposition. The beam has constant flexural rigidity EI.) P p p B L L L L L 6 6 6 6 6 6 (a) Determine the deflection &, at the midpoint of the beam. (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₁ = (b) If the same total load (5P) is distributed as a uniform load on the beam, what is the deflection 2 at the midpoint? (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₂ = (c) Calculate the ratio of ₁ to 82.

2. Determine the equations of the elastic curve for the beam using the x coordinate. (Please use thesecond-order or fourth-order integration method)(a) Specify the slope at A and maximum deflection. EI is constant.(b) Determine the deflection at the center of the beam and the slope at B. EI is constant.

Thumbs-up will be given. Solve in 4 decimal places. Box the final answer. By Using Unit Load Method, Calculate the total deflection at joint B. Members have the same moment of inertia of 1440 x 10⁴cm⁴ and E is constant at 210 GPa. Let P = 153 kN

The cantilever beam consists of a W530 × 74 structural steel wide-flange shape [E = 200 GPa; I = 410 × 106 mm4]. Use discontinuity functions to compute the deflection vC of the beam at C for the loading shown.Assume LAB = 3 m, LBC = 2.2 m, P = 39 kN, w = 23 kN/m.

Q2. Calculate the deflection at point D for the following static beam structure using the Unit Load and Moment Area method P = a kN D q = a +b B EI b/4 m b/2 m b Where: E3D 210 х 106 I= 8360 x 10-8 a = 3 b = 2a 3 b b A = (2/3) A = (1/3)

Consider the cantilever beam in the figure,subject to a concentrated force P = 20kip at Band a concentrated moment Mo = 100k-ft at C.Knowing that a = 5ft, use the conjugate beammethod to calculate the following in terms ofgeneric E and I:(a) The slope of point C(b)The deflection of point B

Solve for the the deflection at Midspan. Consider EI to be constant and begin x from A.

Problem 3 Conjugate Beam Method: For the given beam below, answer the questions. El = constant: P M=Pa B a a (a) Draw the conjugate beam (clearly show the supports of the conjugate beam and mark the important values). (b) Determine the slope angle at point B, 0B, of the real beam using the conjugate beam method. Determine the deflection at point B, Ag, of the real beam using the conjugate beam method.

Determine the slope and deflection at point B of the steel beam shown below using conjugate beam method. The reactions have been computed. E= 29(10³) ksi, I-800 in. 5k A (1 75 k-ft -15 ft- 5 k real beam -15 ft- B