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Unformatted text preview: Problem 4.4 Draw the ILs for the reactions at the supports and the shear and bending moment at point D of the following beam using the method of consistent deformation and Müller Breslau’s Principle. Determine the IL ordinates at 4m intervals. R A : 1 at A; 0 at B and D; -0.047 at C; 0.063 at E R B : 0 at A and D; 1 at B; 0.594 at C; -0.625 at E R D : 0 at A and B; 0.453 at C; 1 at D; 1.563 at E V C : 0 at A, B and D; -0.453 at C left , 0.547 at C right ; -0.563 at E M C : 0 at A, B and D; 1.81 at C; -1.75 at E Problem 4.5 Construct the influence lines for the moment at A and B and the shear at C for the frames shown below using the Müller Breslau Principle. Draw two different possible ILs for the shear at point C. Determine the location of uniformly distributed member loads to maximise the positive moment at A and shear at C using the IL. B A C 8 m A B C I (mm 4 ) D 4 4 4 E 3I C V C Note: the other IL solution for V C will have columns in double B M B A M A...
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This note was uploaded on 10/24/2009 for the course BENG Civl2007 taught by Professor A.smith during the Spring '09 term at HKU.
- Spring '09