(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.
(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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Answer c only
Mohr's circle(with full details).
Center of circle, Radius of circle, Max. principal stress, Min. principal stress, Angle of principal plane, Max. shear stress, Angle of max. shear plane
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.
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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