Mechanical Engineering Quiz (stress and Strain)

ENES220 In-Class Exercise Extra Credit #1

November 9, 2016

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. The exercise is due on December 7, 2016. For extra credit:

 Use a software program (Excel, Matlab, Mathcad, beam analysis programs, etc.) to check your answers. Email me your attached programs and/or results. (2)

 Type up cover page (1) and report (10), and include this page as the 2nd page.

Name: _____________________________ Number of hours spent on project: ______

Evaluation (For instructor use only; do not write in this area.)

Element Score yx,

yx II ,

ycxc II ,

xy I

21 ,, II

p 

yx rr ,

SW

TY

Σ /20

b

100 mm

a

b

a c

50 mm d

y

x

c