ENCI 451 Lecture : Tutorial 4 Force Method II

• School: University of Calgary
• Department: Civil Engineering
• Course: ENCI 451
• Professor: T.G.Brown

Document Summary

For the beam shown, determine the bending moments at a, e, b, f, and c for: the loads shown, a settlement at b of b/100. First, let us find the degree of static indeterminacy, i. Because i is very small (i. e. typically i < 4), we can apply the force method. Two extra unknowns/redundant/releases are needed to be eliminated so the structure becomes determinate. In this case, we will convert a into a pin support and hinge b: From equation b. 3 in appendix b of the textbook: Using equations b. 9 and b. 10 in appendix b of the textbook: Because this is a continuous beam with three or more supports, the trick here to solve for f1 and f2 using displacement compatibility is using the three moment equation in its general form (equation 4. 15, pg. Where i represents each of the i force releases from step 2, hence in this problem, i = 1, 2.