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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 C D E 0.5L 0.5L 0.75L 0.75L b1 b2 0.25h h2 h1 NA Section B-B Section D-D Figure 2 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. Calculate the bending and shear stresses at point F on the Section B-B. Develop and sketch the Mohr's circle of stresses corresponding to point F. Show all necessary details, including principal stresses and maximum shear stress.

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 C D E 0.5L 0.5L 0.75L 0.75L b1 b2 0.25h h2 h1 NA Section B-B Section D-D Figure 2 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. Calculate the bending and shear stresses at point F on the Section B-B. Develop and sketch the Mohr's circle of stresses corresponding to point F. Show all necessary details, including principal stresses and maximum shear stress.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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PART 1 PART 2 Cross-sectional areas, A (mm') Cross-section dimensions (mm) Load P (kN) Height H (m) AB, BC, DE, EF AF, CD AD, BE, CF Load Q (kN) Length L (m) b1 h1 b2 h2 155 6.6 820 1020 1120 10.5 2.1 96 211 56 161
Transcribed Image Text:PART 1 PART 2 Cross-sectional areas, A (mm') Cross-section dimensions (mm) Load P (kN) Height H (m) AB, BC, DE, EF AF, CD AD, BE, CF Load Q (kN) Length L (m) b1 h1 b2 h2 155 6.6 820 1020 1120 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 C D 0.5L 0.5L 0.75L 0.75L bị 0.25hI b2 hị h2 NA Section B-B Section D-D Figure 2 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. Calculate the bending and shear stresses at point F on the Section B-B. 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 C D 0.5L 0.5L 0.75L 0.75L bị 0.25hI b2 hị h2 NA Section B-B Section D-D Figure 2 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. Calculate the bending and shear stresses at point F on the Section B-B. 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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