Question: 22. Two beam elements are used to model the structure shown in the figure. The beam is clam] to the wall at the left end

22. Two beam elements are used to model the structure shown in the figure. The beam is clam]

to the wall at the left end (Node 1), supports a load P = 100N at the center (Node 2), ant simply supported at the right end (Node 3). Elements 1 and 2 are two-node beam element each of length 0.05m and the flexural rigidity EI = 0.15 N-m2.

(a) Using the beam stiffness matrix, assemble the equations for the above model, apply boun¬
dary conditions and solve for the deflection/slope at Nodes 2 and 3.

(b) Write the equations and plot the deformed shape of each beam element showing defection and angles at all the nodes.

(c) What is the deflection v and slope 9 at the midpoints of Element 1 and Element 2?

(d) What is the bending moments at the point of application of the load P?

(e) What are the reactions (bending moment and shear force) at the wall?

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