Determining Maximum bending moment via shear force diagram

[Tom McCurdy]

Homework Statement

http://imagebin.ca/img/uzuDsi.jpg

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?

 

[PhanthomJay]

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.

 

[tiny-tim]

Your picture is not showing up.

I found it … http://imagebin.ca/img/uzuDsi.jpg"