6. Beams, Relationship w, SF and BM

Question 1

Try work out the SF and BM diagrams for this question.

Answer 1

Note:
* Rember for distributed loads, they will slowly cause a change going along the length.
* We can work out the resultant distributed load in a segment using (x-?) times the function. This is also how we can determine the length to work out BM, using (x-?)/2 for length from M.

Question 2

What are the three equation describing the relationship between w, Q and M. (i.e. distributed loading, shear force, bending moment)?

Additional Q: when is BM maximum?

Answer 2

Note:
* We can find how

Question 3

What is the procedure for drawing SF and BM diagrams, using the relationship between Q & M slopes?

Answer 3

Note:
* See how the SF and BM link in the example. We can calc the BM changes by working out the area under the SF section.

Question 4

Try to solve this question!

Hint: use the relationship between Q and B, as well as Bmax.

Answer 4