Consider one of the many steel brackets (𝐸= 29 × 106𝑙𝑏/𝑖𝑛2, 𝜈= 0.3) used

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Consider one of the many steel brackets (𝐸= 29 × 106𝑙𝑏/𝑖𝑛2, 𝜈=
0.3) used to support bookshelves.
The dimensions of the bracket are shown in figure below. The
bracket is loaded uniformly along its
top surface, and it is fixed along its left edge. Under the given
loading and the constraints, plot the
deformed shape; also determine the principal stresses and the von
Mises stresses in the bracket.
1. Find the maximum displacement value.
2. Find the maximum value in the first principal stresses.
3. Find the maximum value in the von Mises stresses.
PLEASE SOLVE THE QUESTION ANALYTICLY
Answers should be :
1. Find the maximum displacement value.
DMX: 0.345e-3
2. Find the maximum value in the first principal stresses.

SMX=301.507
3. Find the maximum value in the von Mises stresses.

SMX: =654.231

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Consider one of the many steel brackets (E = 29 X 10^lb/in?, v = 0.3) used to support bookshelves. The dimensions of the bracket are shown in figure below. The bracket is loaded uniformly along its top surface, and it is fixed along its left edge. Under the given loading and the constraints, plot the deformed shape; also determine the principal stresses and the von Mises stresses in the bracket. 10 lb/in. 12 in R=0.25 in. 2 in. 6 in. R4 in. R 0.5 in thickness = 0.125 in. 1. Find the maximum displacement value. 2. Find the maximum value in the first principal stresses. 3. Find the maximum value in the von Mises stresses.