# ME 270 Special Homework Problems - Spring 2014-1 ```SP 7.A
The triangular block shown below has three
separate couples applied to its surface. If the
sum of all three sets of couples acting on the
triangular block is to be zero, determine the
magnitude of forces F and P.
SP 7.C
The frame is acted upon by three forces as
shown below. Determine the equivalent forcecouple system at the base O.
SP 7.B
Frame ABCD is loaded with several forces and
couples as shown. Determine the force-couple
system at base A that is equivalent to the
SP 9.A
Replace the distributed load shown with one
single equivalent force. Give its location.
SP 9.B
SP 9.C
A beam is subject to the distributed load and
point load shown. It is cantilevered into the
wall at point A.
(a) Replace the distributed load with a single
equivalent force.
(b) Determine the reactions at A. You may
neglect the weight of the beam.
Determine the x and y coordinates of the
centroid of the given shape.
SP 9.D
Consider the birdhouse shown. The roof forms an isosceles triangle, and the roof and floor both
extend the same distance beyond the main portion of the house.
Locate the centroid of this 3D shape. Note that no origin is given, so you will have to clearly define
Use the following dimensions:
a  1.0 in, b  1.8 in, d  0.75 in, w  5.0 in,
h1  1.65 in, h2  3.4 in, h3  0.5 in,
L1  8.0 in, L2  6.5 in, L3  1.0 in
SP 11.A
A cabinet weighing 60 lbs rests on the 25&deg;
incline shown. A cable attaches to the cabinet
at point C. What is the maximum tension, T,
that can be applied before the cabinet begins
to move? Does the cabinet slip or tip?
SP 13.A
SP 13.D
Determine the internal forces and moments at
(a) point E, (b) just to the left of point C, and (c)
just to the right of point C. Use the following
Draw the shear force and bending moment
diagrams for the beam shown below.
x1  1.8 m, x2  0.6 m, x3  0.6 m, x 4  1.2 m,
w 0  5,000 N/m, F1  10,000 N
SP 13.E
Draw the shear force and bending moment
diagrams for the beam shown below.
SP 13.B
Draw the shear force and bending moment
diagrams for the beam shown below. Use the
following parameter values:
x1  1.5 m, x2  0.5 m, x3  0.6 m,
w 0  2500 N/m, F1  10,000 N
SP 13.F
Draw the shear force and bending moment
diagrams for the beam shown below. Use the
following parameters:
x1  1.8 m, x2  0.6 m, x3  0.6 m, x 4  1.2 m,
w 0  5,000 N/m, F1  10,000 N
SP 13.C
Draw the shear force and bending moment
diagrams for the beam shown below. Use the
following parameter values:
w0  250 lb/ft, L  6 ft
Note that in SP 13.A, you already solved for
the internal forces in this beam at point E and
surrounding point C; do the values you get in
your diagrams match what you solved for
previously?
Other possibilities for shear force bending moment
problems:
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