Determine the design positive and negative moments of the beam shown. The dead and live loads are 28.6 kN/m and 9.4 kN/m for w, respectively and 246 kN and 98 kN. respectively for P. The concentrated loads are at their respective midspans.

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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.