The gate shown in Figure 5 has a mass of 225 kg/m normal to the screen/page and is normal to the page. It is supported by a counterweight made of concrete (Specific gravity = 2.5). If θ = 30o, determine the minimum mass (in air) of the counterweight per unit length of the gate (into the page) required to keep the gate in equilibrium as shown. Neglect the weight of the arm required to hold the counterweight.

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.