Problem 4-1 solution - Solution AAE Problem Set 3 Due...

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Solution AAE Problem Set 3 – Due Friday Problem 1 (This is the same prob a) Develop the system stiffness b) Use the applied loads and matrix with the applied loads c) Find the deflections at each n d) Solve for the internal forces i e) Draw the internal forces actin f) Draw the free body diagrams g) Compute the strain energy in 6 1 1 7.25 10 / . EA x lb in L = 2 2 4.3 EA L = Disassemble the structure into th write the force displacement rela ay September 19, 2008 blem as 4-1 in the text.) s matrix for the three element bar shown. boundary condition to develop the restrained node in each rod element ing on each of the three elements s for each of the three nodes n the structure. 6 .35 10 / . x lb in 6 3 3 1.45 10 / . EA x lb in L = hree rod elements as shown below. ations in terms of system displacements. system stiffness Now
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11 1 1 12 2 1 1 1 1 F u k F u - = - 2 21 2 3 22 1 1 1 1 u F k u F - = - 31 3 3 32 4 1 1 1 1 F u k F u - = -   The four nodal force equilibrium equations are written in matrix form as:
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This note was uploaded on 09/17/2009 for the course AAE 352 taught by Professor Chen during the Spring '08 term at Purdue University-West Lafayette.

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Problem 4-1 solution - Solution AAE Problem Set 3 Due...

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