1.
Statics 2013/2014 - COZ Block 4 - Problem 1
A beam is loaded by a stack of bricks and supported by plates, creating the distributed load shown in the second figure.
The distributed top load has a maximum distributed load
200 . The distributed load on the bottom left has an
intensity of = 100 .
Part A
Determine the required intensity and dimension of the right support so that the resultant force and couple
moment about point of the system are both zero.
Express your answer with the appropriate units.
ANSWER:
Part B
Express your answer with the appropriate units.
ANSWER:
=
=
2.
Statics 2013/2014 - COZ Block 4 - Problem 2
Take that = 3.4
Part A
Replace the loading by a single resultant force.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
Part B
Specify the location of the force measured from point . Assume that the location of the equivalent resultant force is
not necessary on the beam.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
=
=
3.
Statics 2013/2014 - COZ Block 4 - Problem 3
Part A
Determine the moment of inertia of the area about the axis. Set , = 3 , = 1.5 .
Express your answer with the appropriate units.
ANSWER:
=
4.
Statics 2013/2014 - COZ Block 4 - Problem 4
Part A
For the shape shown in de figure, determine the moment of inertia about the axis. Set = 180 , = 130 ,
= 90 , = 60 .
Express your answer with the appropriate units.
ANSWER:
=
5.
Statics 2013/2014 - COZ Block 4 - Problem 5
Consider the cross-section to be thin-walled with radius = 4 and thickness = 0.1 everywhere. Neglect the
circular shape at end points of the horizontal beams. Note: the dimensions and are related to .
Part A
Determine the centroid for the fuselage's cross-sectional area.
Express your answer with the appropriate units.
ANSWER:
Part B
Now find the moment of inertia about the centroidal x-axis .
Express your answer with the appropriate units.
ANSWER:
=
=
6.
Statics 2013/2014 - COZ Block 4 - Problem 6
Part A
The picture shown displays a slender rod with mass 13 with a sphere with mass 19 attached to it. Determine
the mass moment of inertia of the pendulum about an axis perpendicular to the page and passing through point .
Set 345 .
Express your answer with the appropriate units.
ANSWER:
=
7.
Statics 2013/2014 - COZ Block 4 - Problem 7
Take that = 32 .
Part A
Determine the moment of inertia of the beam's cross-sectional area about the axis.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
=
Typesetting math: 100%
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