Determine the vertical deflection of joint D produced by the 30-kip load as shown in the figure below. a.) Castigliano's Theorem Method b.) Virtual Work Method All bars: A = 2 in? E = 9000 kips/in? P 30kips- 12 12

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A: ∑Fy=0RA+RB=8+6=14 KN∑MA=08×3-RB×6+6×9=0RB=13 KNRA=1 KN

Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.