9
)
Due: November 14, 2007
MIT – 1.050 (Engineering Mechanics I)
Fall 2007
Instructor: Markus J. BUEHLER
Team Building and Team Work:
We strongly encourage you to form Homework teams of three
students. Each team only submits one solution for correction. We expect true team work, i.e. one where
everybody contributes equally to the result. This is testified by the team members signing at the end of the
team copy a written declaration that "the undersigned have equally contributed to the homework". Ideally,
each student will work first individually through the homework set. The team then meets and discusses
questions, difficulties and solutions, and eventually, meets with the TA or the instructor. Important:
Specify all resources you use for your solution.
The following set of exercises is designed to familiarize you with the use of the beam elasticity
model. Where appropriate, display your responses graphically in form of free body force,
moment, rotation, and deflection diagrams.
1.
Area Moments of Inertia
: For the given isosceles triangle crosssection, determine the
following quantities:
a. The zeroorder area moment,
S
(this represents the crosssectional area).
b. The centroid of the crosssection in the
z
axis,
z
c
.
c. The firstorder area moment,
S
z
.
d. The secondorder area moment,
I
zz
.
r
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 Fall '08
 MarkusBuehler
 Second moment of area, Markus J. BUEHLER

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