HW8Solution - UNIVERSITY OF CALIFORNIA BERKELEY Spring 2016 Department of Civil and Environmental Engineering Instructor J P Moehle CE 120 Structural

# HW8Solution - UNIVERSITY OF CALIFORNIA BERKELEY Spring 2016...

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UNIVERSITY OF CALIFORNIA, BERKELEY Spring 201 6 Department of Civil and Environmental Engineering Instructor: J. P. Moehle CE 120 - Structural Engineering Solutions of Assignment No. 8 Due: April 4 , 201 6 Problem 1 - Draw influence lines as specified below: (a) Both reactions and the shear and moment at B. 2.Impose a unit virtual displacement at A in the direction of RA.3.Draw the displaced shape in a way that point c does not move. 3.Draw the displaced shape without moving the supports.4.Find the ordinates from similar triangles.
Page 2 UNIVERSITY OF CALIFORNIA, BERKELEY Department of Civil Engineering CE 120 - Instructor: J. P. Moehle - Spring 201 6 IL for M B : By virtual displacement method, 1.Make a cut at B.2.Impose a unit relative rotation without any relative displacements. That is, a kink will form at B.3.Draw the displaced shape without moving the supports.4.Find the ordinates from geometryδ=θ1*10= θ2*20….(i)θ1 + θ2=1 …….(ii)solving (i) and (ii), θ1 = 2/3 and θ2=1/3so, ordinate at B= 2/3*10=20/3.(b) The shear and moment at A, B, and just to the left of C.
Page 3 UNIVERSITY OF CALIFORNIA, BERKELEY Department of Civil Engineering CE 120 - Instructor: J. P. Moehle - Spring 201

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• Civil Engineering, Department of Civil Engineering, University of California, live load, dead load, J. P. Moehle , Ce120