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Determining Maximum bending moment via shear force diagram

  • #1
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Homework Statement



http://imagebin.ca/img/uzuDsi.jpg [Broken]

and by maximum it means in magnitude

Homework Equations



I figured the best (easiest/quickest) method would be to draw the shear force diagram.

When I originally did this problem I came up with equations for M and V by dividing the bar into sections from the right until the last section in which I took the section from the right to include the external moment for the M equation. I am not sure how to figure out V for the last section though.


V=
0<x<2 V=40-10x V facing down and M going counterclockwise
2<x<5 V= -5 V facing down and M going counterclockwise
5<x<7 V= -15 V facing down and M going counterclockwise
7<x<10 V=-10 facing up and M going counterclockwise
The part I am not sure about is how the external moment of 35 comes into play in the last section.

I feel like it would be incorrect to say V = 10 for the last section?


What would the final shear force plot look like?
How do I finish this problem?
 
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Answers and Replies

  • #2
PhanthomJay
Science Advisor
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Your picture is not showing up. Be sure to determine external reactions first. When you plot a shear diagram, the diagram is unaffected by externally applied moments.
 
  • #3
tiny-tim
Science Advisor
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Your picture is not showing up.
I found it … http://imagebin.ca/img/uzuDsi.jpg" [Broken]
 
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