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Week 9, Question 1: Use the stiffness method to analyse the structure shown below. For the beam ABC, E = 2.108 kPa, A = 0,1 =

Calculate the the bending moment at Joint B following the steps below: Part 1: Assemble the global structure stiffness matrix

Part 3: Calculate the displacements. Provide your answers with three significant figures: a) ui rad b) U2 m c) U3 rad d) 14 r

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Answer #1

Set - By using stiffness method 2 CA A B ㅏ L 2L - اسا 2.O.F. shown below pantal Apply unit rotation of soos 2 ET K₃i B K1 = *usܘ K22 Applying unit displacement out 2 AE Sine TEL K32 Kuz AE Sink R32 B VEL 2L L Kaz Kia Kaz Iss 12 EI + 12 EI L3 AE sin?Given for ABC, Е- 2 х (0* Ера , А :)=1.2x104me Fen truѕѕ pВ, Е. - 2 Укр., л-о-oo 2 м С- 4-5 т; 9 = 25kw (т. . 49 х (с* 1. 2 x(ant - 2 . load vector с 49 Twe? 12. 42 - 09 (? 25 ч я? -48 кг- 12 12 - 1xo kr -3 25х4 -3 - 391 2. (0 (20) 2 P2 -WL 2. 2. St?

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