For the in. thick L-shaped steel bracket shown in Figure P7-32 on page 432, show that

For the ¼ in. thick L-shaped steel bracket shown in Figure P7-32 on page 432, show that the stress at the 90o re-entrant corner never converges. Try models with increasing numbers of elements to show this while plotting the maximum principal stress in the bracket. That is, start with one model, then refine the mesh around the re-entrant corner and see what happens, say, after two refinements. Why? Then add a fillet, say, of radius 1/2 in. and see what happens as you refine the mesh. Again plot the maximum principal stress for each refinement.

Figure P7-32

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2 in. 12 in. P= 500 lb 2 in. 12 in.