Physics 8 | Friday, November 10,...

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Physics 8 — Friday, November 10, 2017 I HW09 due Monday. I HW10 due next Friday. Pick up handout today. I This week, you read Onouye/Kane ch4 (load tracing) & ch5 (strength of materials) in Perusall. I Next week, you’ll read [in Perusall] Onouye/Kane ch6 (cross-sectional properties, i.e. centroids & 2nd moment of area) and O/K ch7 (simple beams). I Richard Farley will do most of the talking today.

Transcript of Physics 8 | Friday, November 10,...

Page 1: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

Physics 8 — Friday, November 10, 2017

I HW09 due Monday.

I HW10 due next Friday. Pick up handout today.

I This week, you read Onouye/Kane ch4 (load tracing) & ch5(strength of materials) in Perusall.

I Next week, you’ll read [in Perusall] Onouye/Kane ch6(cross-sectional properties, i.e. centroids & 2nd moment ofarea) and O/K ch7 (simple beams).

I Richard Farley will do most of the talking today.

Page 2: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

There’s one problem similar to this (but using metric units) onHW9: Determine the support reactions at A and B.

Page 3: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

Maybe Prof. Farley can talk us through some of these?

I line of action

I principle of transmissibility

I moment of a force

I varignon’s theorem

I couple

I moving a force to a parallelline of action by adding acouple

I equilibrium

I colinear forces

I coplanar forces

I concurrent forces

I resultant of several forces

I free-body diagram

I statically indeterminate

I unstable (or unconstrained/ underconstrained)

I reaction force

I types of support conditions

I support reaction

I How to specify wind load?

I Truss bridge whose topforms parabolic arch (likePalmyra-Tacony).

I What is tributary area incase of overhang?

Page 4: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

For most of the hour, Prof. Farley showed us his approach tosolving trusses. His handout is here:

http://positron.hep.upenn.edu/p8/files/farley_truss_slides_20171110.pdf

Page 5: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

This one is harder than your homework, because the distributedload is non-uniform: Determine the support reactions at A and B.

Page 6: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

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 7: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem
Page 8: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

This is not really a “truss problem,” since we’re not asked to solvefor the internal forces in the truss, but it is an example of a prettytricky equilibrium problem.

Let’s try working through this together in class.

Notice, from the given dimensions: the angle of the incline is thesame as the interior angle at joints A and B of the truss. Alsonotice pin/hinge support at A and roller support at B.

Page 9: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem
Page 10: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem
Page 11: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem
Page 12: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem
Page 13: Physics 8 | Friday, November 10, 2017positron.hep.upenn.edu/wja/p008/2017/files/phys8_notes...2017/11/10  · Iprinciple of transmissibility I moment of a force I varignon’s theorem

Physics 8 — Friday, November 10, 2017

I HW09 due Monday.

I HW10 due next Friday. Pick up handout today.

I This week, you read Onouye/Kane ch4 (load tracing) & ch5(strength of materials) in Perusall.

I Next week, you’ll read [in Perusall] Onouye/Kane ch6(cross-sectional properties, i.e. centroids & 2nd moment ofarea) and O/K ch7 (simple beams).

I Richard Farley will do most of the talking today.