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Free body diagram help

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alumibeam

Mechanical
Mar 16, 2004
1
I can't seem to figure out how best to create a FBD to analyze the loads in the following system:
1. Wall at 70 deg to horizontal floor.
2. Mass against wall but not directly attached.
3. separate beam cantilevered from wall parallel to floor.
4. Mass attached to beam on roller.
5. Hydraulic cylinder attached to wall and extends to mass.

Cylinder used to push/pull mass as it rides along cantilevered beam. Wouldn't there be some reactions along the wall where the mass bears against it? I am having difficulty solving for all of the unknowns:
1. Mass reaction w/ wall
2. roller reaction w/ beam
3. cylinder reaction w/ mass
4. cylinder reaction w/ wall

Help please or provide link to help convert real life situations into free body diagrams.

Thanks.
 
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May be a good time to break out the energy methods.

Wes C.
 
Alumibeam,

I am having a hard time visualizing what attached to what. Could you supply some kind of a picture?

Ali
 
Draw the force vectors where they act & balance with vertical force, horizontal force & moment at the intersection of the wall with the floor. The forces are:
-vertical force of rolling mass acting though its center
- vertical force of the mass against the wall, acting at the centroid of the mass,
- vertical weight of the beam acting through its centroid
- vertical weight of the wall acting through its centroid
- horizontal tension or compression along the axis of the cylinder.

Balance all the above w/ horizontal force, vertical force & moment at the base of the wall.
 
cyclinder pushes the mass (on a roller) along the beam ...
Fcyc(horizontal) = mass*a +(mass*g)*mu (friction)
the beam reacts bending due to mass
the wall reacts the beam (base of the wall is off-set by 70 deg)

good luck
 
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