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The following structure is made with an aluminum bar that has a rectangular crosssection oriented in such a way that the resistance to bending is...
The following structure is made with an aluminum bar that has a rectangular crosssection oriented in such a way that the resistance to bending is maximized.
Given the geometry, loads and supports in the structure, find following:
(a) The reactions in A and E needed to satisfy equilibrium. 10 pts
(b) The bending moment and axial force diagrams for sections A-B, B-C, C-D and D-E of the structure. Use the sign convention discussed in class, draw your diagrams in the same orientation as the individual sections. 25 points
(c) The minimum dimensions that the cross section must have if the maximum normal stress that the material can withstand is 120 MPa and the height of the cross-section is 4 times its width. Do the calculation using only bending stresses first and then using both bending stresses and the stress due to axial load. Compare the results and comment on the effect of stresses due to axial loads on slender structures. 15 pts
