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Page 1: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

Physics 8 — Friday, November 6, 2015

I Turn in HW8. Pick up HW9 handout, due next Friday.

I Coming up: next week you’ll read O/Kch6 (“cross-sectional properties of structural members”)and ch7 (“bending and shear in simple beams”).Reading questions are there, but you may need to reload tosee them.

I Today: continue to analyze trusses!

I Soon: we’ll segue from trusses into beams.

Page 2: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

How many “reaction forces” are exerted by the supports (i.e.exerted on the truss by the supports)?

Page 3: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

How many internal forces (tensions or compressions in themembers) do we need to solve for to “solve” this truss?

Page 4: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

Do you see any joint at which there are ≤ 2 unknown forces? If so,we can start there. If not, we need to start with an FBD for thetruss as a whole.

Page 5: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

Try to guess RA,x , RA,y , and RD,y by inspection. Then let’s checkwith the usual equations.

Page 6: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

Now start from a joint having ≤ 2 unknown forces. In this case, Ijust went through the joints alphabetically. You can make your lifeeasier by seeking out equations having just 1 unknown.

Page 7: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

TAB = −0.577 kN, TAE = +0.289 kN, TBE = +0.577 kN,TBC = −0.577 kN, TCE = −0.577 kN, TCD = −1.732 kN,TDE = +0.866 kN. My notation: tension > 0, compression < 0.

Page 8: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,
Page 9: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,
Page 10: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,
Page 11: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,
Page 12: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

Here’s another truss problem that you can solve using the Methodof Sections. Find forces in members CE, CF, and DF, withassumed force directions as shown.

I What happens if an assumed force direction is backwards?

I Where should we “section” the truss?

I Then what do we do next?

Page 13: Physics 8 | Friday, November 6, 2015positron.hep.upenn.edu/wja/p008/2015/files/phys8_notes_20151106.… · Physics 8 | Friday, November 6, 2015 I Turn in HW8. Pick up HW9 handout,

Physics 8 — Friday, November 6, 2015

I Turn in HW8. Pick up HW9 handout, due next Friday.

I Coming up: next week you’ll read O/Kch6 (“cross-sectional properties of structural members”)and ch7 (“bending and shear in simple beams”).Reading questions are there, but you may need to reload tosee them.

I Today: continue to analyze trusses!

I Soon: we’ll segue from trusses into beams.


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