17 thoughts on “HOMEWORK 27 – SP 25”

  1. I believe I was able to successfully solve this problem numerically but am having trouble graphing it. The functions I got are a bit large so scaling the moment diagram is difficult. Also, are the equations functions of x as in meter values (for example 0.4m) or functions of d (for example f(1) outputs the value at 1d)?

    1. I think you have to graph it using meters and not “d” since that’s what the professor did during lecture. Also it makes more sense to use the numerical meter values since we’re basing our calculations off of that.

  2. I thought that the lecture video for Example 2 in Period 27 did an excellent job in explaining a problem that is very similar to this. Consult that video if you want to check your work and make sure your final answers are accurate.

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  3. It is helpful to break up these problems as, finding out what you know about the full FBD, then breaking into segments, and for each segment summing the forces and then summing the moments at P.

  4. When doing this it was helpful to break the problem down into parts. I started from the left and worked to the right and it made the problem quite easy to break down.

    1. I don’t think the problem would change much with a distributed load, as you can treat that load as a single force at a certain distance, so it would act the same any other force; just with extra work needing to be done.

    2. It would be the only difference is that you have to compute the distributed load an proceed from there.

  6. If we correctly set up the equilibrium equations, the signs (+ or -) should come out correct, right? If not, should we change them if we think they should be flipped?

  7. I completed my shear diagram but am unsure if my bending moment diagram is accurate. What is the best method or process to compute this?

    1. One way that I found to check if my bending moment diagram was accurate was through checking if the moment at the very end of the beam, at point E in this case, was equal to 0. Another way I found to double check if the bending moment diagram was correct was if it graphically appeared to be the integral of the shear diagram.

  8. A method I used to find Shear Force and Bending moment was to extend my segment FBDs from left to right rather than including a middle segment with Shear Force and Bending moment on both sides. Drawing my FBDs this way made it easier for me to visualize the problem, as force distances for finding the Bending moment could be written as sums of d and x.

  9. I found that the example problem 9.B.1 and the procedure on page 350 of the textbook helped tremendously in solving this problem.

  10. I found the 27.B video extremely helpful to help understand how to find the shear and moment forces and how to graph it. Remember that you need to split it at every applied force.

  11. I found this problem very connected to one of the problems done on lecture 27. Also, I would recommend checking the derivative of the moment equation of every segment to verify that it is consistent with the shear. Furthermore, the M(x) and V(x) graphs should demonstrate some mathematical relationship (When V(x) changes signs, M(x) should attain an extremum since dM/dx = V(x).)

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