A Develop A Model Containing Three Springs Called Ks And Ka And Four Nodes Defined As 1 2 3 And 4 Important Not 1 (31.44 KiB) Viewed 31 times
a) Develop a model containing three springs (called ks, and ka) and four nodes (definedas 1, 2, 3 and 4). IMPORTANT NOTE: The rigid bar is modeled as node 2 and not with aspring!
b) Draw Free Body Diagrams for the nodes where displacements are unknown (in termsof ks, ka, Fapp, u1,u2, etc.).
c) Generate the nodal force equilibrium equation at the nodes where the displacementsare unknown. Present the equation in a standard form.
d) Develop the stiffness matrix [K] and the force vector, {f}. Solve the matrix equation for{u}.
e) Develop the deformation vector, {delta}, the strain vector, {epsilon}, and the x-normal stressvector, {sigma}.
Steel 50 kips 2 1.5" diam. -20" 50 kips NO 2 •N Rigid bar Aluminum 1" diam. Aluminum 1" diam. 16". El 107 lb/in² Est = 3 X 107 lb/in²
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