Problem 4: A barge shown in the figure carries 290KN/m and 580KN/m loads. a. Find the total length, L (m) so that the upward pressure is uniform, and the barge remains horizontal. b. If shear is zero at 5m from the left end, what is the upward pressure in kN/m? c. If the upward pressure is 145KN/m, what is the resulting moment (kN-m) at first point of zero shear? 290

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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.