Please answer the following questions by referring to the below figure calculate the location of the centroid, the second moments and product of area for the cross-section if; • D = 67 mm • B = 41 mm t = 2.41 mm. From these, calculate the position and orientation of neutral axis for pure bending in the vertical plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second moments of area. Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct location and indicate the direction of deflection for the same conditions A A L Test beam Strain gauge W (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. b a Section A-A Strain gauge 1 Strain gauge 3 Strain gauge 2
Please answer the following questions by referring to the below figure calculate the location of the centroid, the second moments and product of area for the cross-section if; • D = 67 mm • B = 41 mm t = 2.41 mm. From these, calculate the position and orientation of neutral axis for pure bending in the vertical plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second moments of area. Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct location and indicate the direction of deflection for the same conditions A A L Test beam Strain gauge W (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. b a Section A-A Strain gauge 1 Strain gauge 3 Strain gauge 2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Please answer the following questions by referring to the below figure
calculate the location of the centroid, the second moments and product of area for the cross-section if;
•
D = 67 mm
•
B = 41 mm
t = 2.41 mm.
From these, calculate the position and orientation of neutral axis for pure bending in the vertical
plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second
moments of area.
Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct
location and indicate the direction of deflection for the same conditions
A
A
L
Test beam
Strain gauge
W
(a) Unsymmetrical cantilever beam with weight applied at the free end
and at the "shear centre", so that there is no torsion induced.
b
a
Section A-A
Strain
gauge 1
Strain gauge 3
B
Strain
gauge 2
D
(b) Location of Huggenberger strain gauges
Here is the previously referenced figure provided as necessary information to complete the question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8f79da7-52f1-4496-9446-0468e8ac49ad%2F7540fa30-1564-44bf-8a13-ea7ea5c39fa5%2Fqwzs1ou_processed.png&w=3840&q=75)
Transcribed Image Text:Please answer the following questions by referring to the below figure
calculate the location of the centroid, the second moments and product of area for the cross-section if;
•
D = 67 mm
•
B = 41 mm
t = 2.41 mm.
From these, calculate the position and orientation of neutral axis for pure bending in the vertical
plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second
moments of area.
Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct
location and indicate the direction of deflection for the same conditions
A
A
L
Test beam
Strain gauge
W
(a) Unsymmetrical cantilever beam with weight applied at the free end
and at the "shear centre", so that there is no torsion induced.
b
a
Section A-A
Strain
gauge 1
Strain gauge 3
B
Strain
gauge 2
D
(b) Location of Huggenberger strain gauges
Here is the previously referenced figure provided as necessary information to complete the question.
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