Question

Problem 1 The truss (all joints are pinned) structure in figure 1 is made of members with cross sectional area A = 1 in, with a linear elastic, homogeneous, isotropic material with an elastic modulus. E-10E6 psi and a coefficient of thermal expansion, α-6E-6 °F-ι. The structure starts out at a uniform temperature of 65°F and is raised to a final temperature of 120°F while being subjected to a concentrated load Po- 5,000 lbs at an orientation 0- 75 with the horizontal. Discretize using linear (p 1) 2 noded bar elements (each member use one element) using the element and grid numbering in the figure provided Submit handwritten work and a Matlab/GNU Octave script that does the computations (a) Write the element connectivity table for the discretization. (b) Write the element equations for each element. (c) Assemble the global matrix equation in partitioned form and apply boundary conditions (d) Solve for the displacements and reaction forces in global (r.y) coordinates (e) Find the stresses and strains for each member of the truss in local (coordinates Hints The element equation for a p-1 linear) bar element e is where le 0 m 0 he EA 1-1

Answer 1

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