Bending moments diagram at T intersection

AI Thread Summary
To analyze the bending moment diagram at the T intersection, it's essential to evaluate the sections separately, starting with D-E as a cantilever. The shear and moment at section D-E can be calculated by considering the 10 kN force in a free body diagram (FBD), which reveals no axial force. For section D-F, the FBD should mirror the approach used for section A-B, albeit with different values due to the intersection. It's crucial to clearly identify the maximum and minimum values in both diagrams for accurate representation. Understanding these principles will aid in effectively constructing the required diagrams.
mackhina
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Homework Statement



Draw the axial force, shear force and bending moment diagrams. Show the locations and magnitude of the maximum and minimum values.

Homework Equations



See diagram.

The Attempt at a Solution



I've worked out the values from points A-B and then from points B-D. I don't grasp how I am suppose to approach the T intersection at point D. Should I evaluate it from D-E and treat the post from D-F as a pin joint, with values of 36.13kN and 15.13kN?

Then do the joint D-F after? If the D-E sections wasn't there I would just continue working around from D-F next, but because it is I'm not sure of how to work it out?

Any help would be heaps appreciated. Thanks a lot!

Cheers
 

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Section DE is just a cantilever. If you cut a section thru DE in a FBD that includes the 10 kN force, the shear and moment at that section are easily calculated (no axial force). In DF, your FBD is similar to that of AB ( but with different values).
 

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