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Civil Engineering
answer b only

answer b only

Structural Analysis
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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PART 2 Cross-section dimensions (mm) Load Q (kN) Length L (m) b1 h1 b2 h2 10.5 2.1 96 211 56 161
Transcribed Image Text:PART 2 Cross-section dimensions (mm) Load Q (kN) Length L (m) b1 h1 b2 h2 10.5 2.1 96 211 56 161
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. B A :B C D E 0.5L 0.5L 0.75L 0.75L bị 0.25hI b2 h2 NA hị Section B-B Section D-D 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. (b) Calculate the bending and shear stresses at point F on the Section B-B. (c) Develop and sketch the Mohr's circle of stresses corresponding to point F. Show all necessary details, including principal stresses and maximum shear stress.
Transcribed Image Text: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. B A :B C D E 0.5L 0.5L 0.75L 0.75L bị 0.25hI b2 h2 NA hị Section B-B Section D-D 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. (b) Calculate the bending and shear stresses at point F on the Section B-B. (c) Develop and sketch the Mohr's circle of stresses corresponding to point F. Show all necessary details, including principal stresses and maximum shear stress.
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