Part 2: Beam analysis The timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam changes from segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. The load, geometry and cross-sections of the beam will be instructed to each student in class. A 0.5L B 0.25hF ΝΑ B b₁ 0.5L Section B-B C 0.75L D b₂ 0.75L h₂ Section D-D E Figure 2 (a) Determine the deflection of the beam at point D by both Virtual Work Method and Castigliano's Theorem. Compare and comment on the differences in these approaches.

Part 2: Beam analysis The timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam changes from segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. The load, geometry and cross-sections of the beam will be instructed to each student in class. A 0.5L B 0.25hF ΝΑ B b₁ 0.5L Section B-B C 0.75L D b₂ 0.75L h₂ Section D-D E Figure 2 (a) Determine the deflection of the beam at point D by both Virtual Work Method and Castigliano's Theorem. Compare and comment on the differences in these approaches.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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