Question

The columns of the frame shown are W310x143 with E = 200x106 kPa and I = 3.47x10-4 m4 and the beam is W460x82 with E = 200x106 kPa and I = 3.70x10-4 m4. Support D settles 20 mm and rotates counterclockwise 1 degree.

(a) Write the slope-deflection equations for each segment of the frame.

(b) Write the necessary equilibrium equations and assemble them in a matrix form.

(c) Solve for the unknown displacements.

(d) Determine the reactions.

40 kN 60 kN/m 3.5m 15 kN/m 2.5m 3m 7m 2

Answer 1

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