1 Structural Analysis I Exam II CE 332 Name: _________________ Spring 2006 Sec. :_________ The exam is closed book, notes, homework, and neighbor. Carry your answers to two significant digits. Note: ORGANIZATION OF YOUR WORK WILL BE CONSIDERED IN YOUR FINAL GRADE!!! Problem 1 ( 18 pts.) (i) Define what is meant by a. Flexibility coefficient, ij—gives an example. b. Flexural stiffness, k—give an example. (ii) List four of the guidelines you use when sketching a deflected shape of a structure. (iii) Calculate the flexural stiffness, KBA, for the member shown below. EI=constant. hinge A B C 3' 9' 4'2 Problem (2) (16 pts.): Calculate the vertical deflection at hinge h of the system shown below. Sketch the deflected shape. Assume Constant EI. 2k/ft h A B C 8k 4' 8' 4'3 Problem (3) (30 pts.) Analyze the continuous beam shown below using Moment Distribution. Calculate the moments at all joints of the structural system shown below. Carry analysis to at least 3 cycles (if needed). Perform deformation check at Joint B. Draw F.B., moment and shear diagrams for span BC. Show all member end forces. Calculate the maximum positive moment in span BC. Given: Modified Stiffness was used where applicable DFab = 0.0 DFba = 0.5 DF bc =0.5 DFcb = 1.0 E I C A 16 k 4’ D B I 6 24 16 2I 6 k 2 k/ft.4 Cycle Joint A B C Member AB BA BC CB CD Dist. Factor 1 FEM Balance 2 Carry over M Balance 3 Carry over M Balance Final Mom. Deformation Check5 6 K EI = constant 4’ 8’ 12k 3’ 12’ 6’ Problem (4) (36+5 pts.)Analyze the problem given below using any technique that you have learned in this course. A) Draw F.B.D’s for all members. Label all member end forces. B) Draw moment and axial load diagrams for the frame C) (Extra points (5 pts)) Draw the deflected shape of the frame. NOTE: You must label and show work in
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