Question

Instructor:G.A. Rassati University of Cincinnati CVE 3001 Sec. 00 Structural Analysis Summer 2018 CAECM Problem 1. (50 points) (00 36 Consider the cantilever beam in the figure 20kN) subject to a concentrated force at B and a E 100kNm concentrated moment at C. Knowing that a= 5m, use either the virtual work method or Castigliano's theorem to calculate the following MA B gein terms of generic E and : (a) (25 points) The slope of point C13 (b)(25 points) The deflection of point B (8

Answer 1

Slope at C Transfer load 20 kN at C theta_c = theta_due to load + theta_moment = pl^2/2Ex + ml/EI = 20 times 5^2/2EI + 200 times 5/EI theta_e = 1250/EI \r\n Deflection of point B delta_B = [delta_c + theta_c times 5]_Due to moment + delta_c load delta_B = 100 times 5^2/2EI + 100 times 5/EI times 5 + 20 times 10^3/3EI delta_B = 10416.67/EI m