CE 382 - Structural Analysis Team Homework Assignment #6 Due Date: Tuesday – May 31, 2016 1. For the given beam problem above, calculate and draw the influence line equation for the reactions at A and D, shear at C and the moment at B. 2. For the composite frame shown to the left, calculate and draw the influence line for the axial force in the struct DB, the vertical reaction force at A, and the internal bending moment at B. 3. For the truss shown on the right, calculate the maximum vertical reaction at A, maximum tension and compression forces in members BF and GF. NOTE: The stringers on the beam ensure that only joint loading is applied to the truss. 4. For the simply supported beam shown on the right, calculate the maximum vertical reaction at A and the maximum positive bending moment at the center of the beam. Individual Homework Assignment #7 – Envelope Curves Due: Tuesday – June 7, 2016 1. For points a, b, c, d, and e sketch the qualitative shear and moment influence line diagrams. a b 32m c d e 32m 2. (Eight points) For WDL = 10 kN/m, WLL = 25 kN/m, A = 2000 mm2, I = 400 x 108 mm4, and E = 200,000 MPa (200 kN/mm2); calculate the moment envelope values and plot the moment envelope curves (positive and negative). (NOTE: You only need to consider maximum positive and negative bending moments even though for a true envelope curve you would have to consider all points between the supports.) Submit your computer output and the spreadsheet computed envelope curves. 3. (Bonus four points) Repeat problem 2 for shear. Recall that shears are discontinuous at the supports due to the support reactions. Thus, your spreadsheet calculations must include two shear calculations at each interior support: one for the shear just to the left of the support and one calculation for the shear just to the right of the support. Since the shears are maximums at the supports, it is not necessary to consider interior shear poits. However, remember that for a true envelope curve you would have to consider all points between the supports. Submit your computer output and the spreadsheet computed envelope curves.