Question

KHW 9: force method Force Method of Analysis: Frames 2 of 5> statically indeterminate. Choosing S and Cy as the redundant forces leads to the superposition shown. The flexibility coefficient Bo relates the deflection at point B to the redundant force at C The compatibility equations are written by requiring the displacements at the redundant locations to be consistent between the real beam and the model formed by the superposition of the statically determinate beams. Part A -Deflection of th e primary structure The primary structure is formed by temporarily removing the redundant force (Figure 3). What is the horizontal displacement at A under the applied loads? The direction chosen for a positive displacement is arbitrary. For this part, we expect that the frame will deflect to the left, so let a positive displacement be to the left. Use E 200 GPa and 1 6.25x108 mm4 Express your answer in the appropriate units to three significant figures. For the case of a first-degree statically indeterminate frame, only one redundant load and one compatibility equation are required. Unlike beams, frames can have deflections in both the horizontal and vertical direction. In some cases, choosing a horizontal force as the redundant can be useful. Suppose the redundant is at some point A. The compatibility equation relates the deflection at the redundant location in the primary structure with the real loads, AA, the flexibility coefficient JAA, and the redundant load at A. View Available Hint(s) A- 1 Value Units Figure 3 of 3 Submit 6 kN/m Part B Flexibility coefficient Calculating the redundant force requires knowing the flexibility coefficient that relates the horizontal displacement at A to the redundant force applied at A. Calculate this flexibility coefficient, assuming that the horizontal force is applied to the right. 2-21 Express your ao three significant figures. View Available Hint(s) 4kN/m 8 m Submit

Answer 1

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