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Fig. 1 W A 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. b Section A-A Strain gauge 1 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

Fig. 1 W A 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. b Section A-A Strain gauge 1 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

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Fig. 1 W A 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. b Section A-A Strain gauge 1 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
Transcribed Image Text:Fig. 1 W A 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. b Section A-A Strain gauge 1 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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