The simply supported beam consists of a W21× 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4). Assume that the support at D can provide resistance either up or down. For a loading of w = 4.7 kips/ft, determine: (a) the beam deflection Va at point A. (b) the beam deflection vc at point C. Assume LAB = 8 ft, LBc = 8 ft, LCD = 8 ft, LDE = 6 ft.

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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.