Problem -
An aluminum extrusion was created in the shape at the right as shown with the origin at the lower left corner. Show all work in finding the centroid (4). Find moments of inertia with respect to the x and y axes (4) and with respect to the centroid (4). With respect to the x and y axes, find product of inertia (4), angles of principal axes (2), maximum and the minimum moment of inertia (2), and radii of gyration (2).
For the variables (a, b, c, d), choose Quantity values that are within the specified Range and that have 3 nonzero significant digits.
|
Variable
|
Quantity
|
Unit
|
Range
|
|
a
|
|
mm
|
20 to 25
|
|
b
|
|
mm
|
10 to 20
|
|
c
|
|
mm
|
5 to 10
|
|
d
|
|
mm
|
10 to 15
|
Turn in this page as the cover page.
- Use a software program (Excel, Matlab, Mathcad, beam analysis programs, etc.) to check your answers. Email me your attached programs and/or results.
- Type up cover page (1) and report (10), and include this page as the 2nd page.