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
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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Question
pleace, I want FULL answer for this question with ALL ateps. in addition to neat handwriting or electronic writing.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F747016f7-8332-4311-a7dd-ea56fa8b7b90%2Fc1413ad6-de77-4545-a5c6-67602b49a5b1%2Fgnrloib_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F747016f7-8332-4311-a7dd-ea56fa8b7b90%2Fc1413ad6-de77-4545-a5c6-67602b49a5b1%2Fwbciry9_processed.jpeg&w=3840&q=75)
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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