W A L A 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 Strain gauge 2 b Strain gauge 3 a B (b) Location of Huggenberger strain gauges Please answer the following questions by 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 A 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 Strain gauge 2 b Strain gauge 3 a B (b) Location of Huggenberger strain gauges Please answer the following questions by 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
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Transcribed Image Text:W
A
L
A
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
Strain
gauge 2
b
Strain gauge 3
a
B
(b) Location of Huggenberger strain gauges
Please answer the following questions by 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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