I have a problem for HW that is driving me crazy! A copy of the original problem from the text is attached. Here is what I have done so far... First, I split the area under the force horizontally into two triangles and found the centroid of each. Centroid of upper triangle is 3m from left side. Centroid of lower tri is 6 m from left side. Area force of triangle 1 is 15.75 kN Area force of triangle 2 is 6.75 kN Total area force is 22.5 kN Location to place this equivalent force is 3.9m from left side. I believe I am good to this point. Now, to find the reactions at point B and C, I have setup the following equations: Sum Fy = By + Cy - 22.5kN - 50kNm/2m - 50kNm/8m = 0 and Sum Ma = 2m*By + 8m*Cy - 22.5kN(3.9m) - 50kNm = 0 Solving these equations simultaneously I end up with Cy = 5.04kN By = 48.71kN According to the answers in the back of the book (Vector Mechanics for Engineers, 7th ed - Beer, Johnston & Eisenberg) the answers are Cy = 15.46 kN By = 7.04 kN Any help would be greatly appreciated. I am spent on this problem and just cannot see where I am going wrong. I suspect my problem is how I am dealing with the 50kNm torque shown on the diagram. Thanks.