Q5: Determine the deflection at a point 1 m from the left-hand end of the beam loaded as shown in Fig. below using Macaulay's method. El = 0.65 MN/ m2. 20 kN 20 kN 30 kN/m B. 12 m 1,2 m.

Indicate all necessary FBDS, concepts and formulas needed in the solution. Using the slope-deflection method, solve the following: 2.1: elastic curve, shear and moment diagrams. El is constant 60KN 16KN/m 2m 3m 4m A B 2.2: slope at the supports. E is constant 21 6KN/m 4KN/m 4.00m 2.50m 2.50m 2.00m B A

Q2/ Use the unit load method to find the slope and the horizontal displacement of point C on the frame shown below. E=200 GPa, I=200 x 10 mm 5 m B C 4 kN El 2 kN/m 6 m 1.5 EI A. For real load, horizontal reaction Ax= * Your answer For real load, vertical reaction Ay= * Your answer For real load, vertical reaction Cy= * Your answer For Unit load (horizontal displacement), horizontal reaction Ax= * Your answer For Unit load (horizontal displacement), vertical reaction Ay= * Your answer For Unit load (horizontal displacement), vertical reaction Cy= * Your answer

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.