Box Beam Analysis
1. Consider the box beam that is idealized as shown below. It has three stiffeners and two cells. Areas of the stiffeners are given in the sketch.
Determine the location of the centroid, and the moments of inertia 4, .1 and J,. Use +z equal left and +y = up. Show the location of the centroid clearly in a labeled sketch. Use of spreadsheet tools is recommended but show the equations and coordinate systems used in a separate write-up in addition to showing spreadsheet data. Also, present final results clearly in the write-up (not just within the spreadsheet).
2. If the beam is subject to a horizontal moment resultant of 2kN-m in the +z direction determine the normal stress in each of the three stiffeners, and the orientation of the neutral surface. Also, sketch the orientation of the neutral surface on the cross-section.)
3. For the same idealized beam as in problem #1, Find the shear flow in each web/skin of the two-cell thin-walled idealized beam shown for V = 5000 N. Show clearly how the joint equilibrium, torque equivalence equations, and equal twist equation are set-up. Required: use the nomenclature and sign conventions for shear flow established in the given sketch. Use of spreadsheet tools is recommended but show the equations (and any manipulations of them) and coordinate systems used in a separate write-up in addition to showing spreadsheet data. Also, present final results clearly in the write-up (not just within the spreadsheet).
4. Determine the horizontal position of the shear center for the idealized beam. Show all work clearly, and present the final result in a clear sketch.
A= 10 cm2 sheet thickness = 0.1 cm
40 cm
20 cm
