For the following problems, (1) write out the element stiffness matrix for each element, (2) assemble...

 

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For the following problems, (1) write out the element stiffness matrix for each element, (2) assemble the global stiffness system, (3) apply boundary conditions, and (4) solve for the deformations. You may use MATLAB to solve the matrix set of equations. a. Consider the following structure comprised of beam elements: (1) A P B (2) (3) Both elements have the same Young's modulus (E = 400 MPa) and moment of inertia (I = 0.0025 m). Element A has a length of LA = 0.5 m and element B has a length of LB = 1.25 m. The applied force P has a magnitude of 35 kN. Ans: u1y = 0 m, 01 = O rad, uzy = = 0 m, 02 0.0055 rad = 0.03 m, 03 = 0.033 rad For the following problems, (1) write out the element stiffness matrix for each element, (2) assemble the global stiffness system, (3) apply boundary conditions, and (4) solve for the deformations. You may use MATLAB to solve the matrix set of equations. a. Consider the following structure comprised of beam elements: (1) A P B (2) (3) Both elements have the same Young's modulus (E = 400 MPa) and moment of inertia (I = 0.0025 m). Element A has a length of LA = 0.5 m and element B has a length of LB = 1.25 m. The applied force P has a magnitude of 35 kN. Ans: u1y = 0 m, 01 = O rad, uzy = = 0 m, 02 0.0055 rad = 0.03 m, 03 = 0.033 rad