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...


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Part 2: Beam analysis<br>The timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam changes<br>from segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. The<br>load, geometry and cross-sections of the beam will be instructed to each student in class.<br>B<br>A<br>:B<br>C<br>D<br>E<br>0.5L<br>0.5L<br>0.75L<br>0.75L<br>bị<br>0.25hI<br>b2<br>h2<br>NA<br>hị<br>Section B-B<br>Section D-D<br>Figure 2<br>(a) Determine the deflection of the beam at point D by both Virtual Work Method and Castigliano's<br>Theorem. Compare and comment on the differences in these approaches.<br>(b) Calculate the bending and shear stresses at point F on the Section B-B.<br>(c) Develop and sketch the Mohr's circle of stresses corresponding to point F. Show all necessary details,<br>including principal stresses and maximum shear stress.<br>

Extracted 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.
PART 2<br>Cross-section dimensions (mm)<br>Load Q (kN) Length L (m)<br>b1<br>h1<br>b2<br>h2<br>10.5<br>2.1<br>96<br>211<br>56<br>161<br>

Extracted 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

Jun 11, 2022
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