Draw the shear and moment diagrams for the beam.

ENGR 3341 Probability Theory and Statistics Prof. Gelb Week 1 homework: warm-up problem solutions Section 1.5: Problem 1: Suppose that the universal set S is deﬁned as S = f1;2;▯▯▯ ;10g and A = f1;2;3g, B = fx 2 S : 2 ▯ x ▯ 7g, and C = f7;8;9;10g. (a) Find A[B (b) Find (A[C)▯B (c) Find A[(B▯C) (d) Do A;B; and C form a partition of S Solution: (a) A[B = f1;2;3;4;5;6;7g (b) A[C = f1;2;3;7;8;9;10g B = f2;3;▯▯▯ ;7g thus: (A[C)▯B = f1;8;9;10g (c) A = f4;5;▯▯▯ ;10g