Determine the reactions on the beam in CE 213

SOLUTION:

Free-Body Diagram. As shown in Fig. 2–29b, the trapezoidal

distributed loading is segmented into a triangular and a uniform load.

The areas under the triangle and rectangle represent the resultant

forces. These forces act through the centroid of their corresponding

areas.

Equations of Equilibrium

+:©Fx = 0

Ax = 0

+ c©Fy = 0;

Ay - 60 - 60 = 0

Ay = 120 kN

d+©MA = 0;

-60142 - 60162 + MA = 0

MA = 600 kN # m (Ans)