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 B D 0.5L 0.5L 0.75L 0.75L b1 0.25h 1 b2 h2 NA Section B-B Section D-D EI

Elements Of Electromagnetics
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PLZ,  I want FULL answer for this question with ALL steps for three sub questions, espicially the Mohr's circle(with full details). in addition to neat handwriting or electronic writing. 

PLZ, do not copy the answer because it is not complete and it has some errors.

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.
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
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