Part 2: Beam analysis The timber beam in Figure 2 is simply supported at points A and E. The cross-section of the beam chang from segment AC to CE, as shown below. The Young's modulus of timber may be taken as 12 GPa. TI load, geometry and cross-sections of the beam will be instructed to each student in class.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**pleace, I want FULL answer for this question with ALL steps for three sub questions, espicially the Mohr's circle. in addition to neat handwriting or electronic writing. 

pleace do not coppy the Answers 

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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