Solve for the support reactions of the following using MOMENT DISTRIBUTION METHOD. Assume members are prismatic and homogeneous. Draw the shear and moment diagrams w= 13 kN/m P= 99 kN A w kN/m 7m BTT 4m P KN 3m TIT 2.5m D

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3. Determine the reactions at the supports, then draw the moment diagram. The moment of inertia for each segment is shown in the figure. Assume A and C are rollers and B is a pin. Take E = 200 GPa. 20 kN 20 kN LAB 120(10) mm² [BIBC = 90(106) mm² C |3m|3m|3m| 50 KN 4 m -4 m

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Solve the following problems in the text book using the three-moment equation:

Q2/ A simply supported beam supports the applied loads and moments as shown, calculate the support reactions? 12 kN 4 kN/m 8 kN-m 16 kN-m 2 kN/m B E 3 m 4 m 4 m 4 m

QUESTION 6 A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 80 mm, h = 170 mm). P = 4.3 kN 3 m -2 m- C B L-5m Calculate the reactions of the beam. Assume that E = 190 GPa. (Solve by the method of superposition. The beam has constant flexural rigidity EI. ASsume that the +x-axis is to the right and the +y-axis is up along the page, with the origin at A. Use the statics sign convention. Assume the positive direction for moments is counterclockwise. Enter your forces in kN and your moments in kN m.) R. = kN Ra = kN MA = kN- m Ma = kN - m Calculate the displacement at point C. (Enter your answer in mm. Use the statics sign convention.) mm