W A L Test beam Strain gauge (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. Section A-A Strain gauge 1 b Strain gauge 3 Strain gauge 2 B (b) Location of Huggenberger strain gauges a Referring to the above 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
W A L Test beam Strain gauge (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. Section A-A Strain gauge 1 b Strain gauge 3 Strain gauge 2 B (b) Location of Huggenberger strain gauges a Referring to the above 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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![W
A
L
Test beam
Strain gauge
(a) Unsymmetrical cantilever beam with weight applied at the free end
and at the "shear centre", so that there is no torsion induced.
Section A-A
Strain
gauge 1
b
Strain gauge 3
Strain
gauge 2
B
(b) Location of Huggenberger strain gauges
a
Referring to the above 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8f79da7-52f1-4496-9446-0468e8ac49ad%2Fd8b36ded-54e0-467c-beb3-79ef8a3828ba%2Ffo0l64v_processed.png&w=3840&q=75)
Transcribed Image Text:W
A
L
Test beam
Strain gauge
(a) Unsymmetrical cantilever beam with weight applied at the free end
and at the "shear centre", so that there is no torsion induced.
Section A-A
Strain
gauge 1
b
Strain gauge 3
Strain
gauge 2
B
(b) Location of Huggenberger strain gauges
a
Referring to the above 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
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