Question: 16. Consider a cantilevered beam with spring support at the end, as shown in the figure. Assume E = 100ksi, / = l.Oin4, L =

16. Consider a cantilevered beam with spring support at the end, as shown in the figure. Assume E = 100ksi, / = l.Oin4, L = lOin, k = 200lb/in, beam height h = lOin, and no gravity. The beam is subjected to a concentrated force F = 100 lb at the tip.

(a) Using one beam element and one spring element, construct the structural matrix equation before applying boundary conditions. Clearly identify elements and nodes. Identify posi¬

tive directions of all DOFs.

(b) Construct the global matrix equation after applying all of the boundary conditions.

(c) Solve the matrix equation and calculate the tip deflection.

(d) Calculate the bending moment and shear force at the wall.

F E,I,L

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