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Problem 8: Consider the statically indeterminate beam shown below with the given loading. E and I are constant. a) Find the rotation at node 2 using the stiffness method. b) Find the unknown reactions using equilibrium and the force-displacement relationships. Draw final free body diagrams of the two beam elements and node 2, showing all forces with the correct values and directions. c) 2.5 k/ft 30 ft 20 ft
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Problem : θ2=562.5k-ft2 rad a) b) M1 225k ft, P-41.2k, P242.2k, M3 c) 56.2k ft, Ps-8.4k 2.5 k/ft 225 k-ft 112.5kf (2 112.5 k-ft 56.2 k-ft 1.2k 33.8 k 42.2 k 84 k 84 k 30 ft 20 ft
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