Shear Force Diagram watch

1. Hi all,

I'm currently on my first year on HNC mechanical engineering and love it so far. I have come across a few things I can't get my head around just yet and would appreciate some help if possible .

Problem #1:

I would say I have a good understanding of shear force diagrams but the one thing I can't seem to solve is finding the area of by similar triangles when they cross from positive to negative UDL force.

So I have a shear force diagram and have worked out all of the areas except the two triangles. One triangle has a height of 2.3N and the other -2.7N which both span across 1 meter of the beam. The question is, how do I go about finding the length of triangle 1
2. Treat the diagram like a graphical equation of y = mx + c where the x axis is the location along the beam and y is the force, find the gradient and then find the value of x that gives the maximum shear force that forms the triangle you are looking at.
3. Thanks Vikingninja but I still can't get it, it's driving me mad at this point 😠
4. (Original post by danz88)
Thanks Vikingninja but I still can't get it, it's driving me mad at this point 😠
As in the answer or the idea in general?
5. I get the idea but it's the maths I can't get to work it out.
6. (Original post by danz88)
I get the idea but it's the maths I can't get to work it out.
If you mean the distance it should just be needed to be changed to positive, can you show your workings.
7. Im at the stage were I need to work out the areas after drawing my shear force diagram. I can't work out the length of both triangles to find areas of A4
Attached Images

8. Could someone please give some guidamce on how I find the length of triangles A3 & A4 so I can find the area. I have no idea how to get this?

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