11. Statically indeterminate beams

Question 1

What are the steps for solving beam deflection?

Answer 1

Question 2

Define a statically determinate beam?

Answer 2

The number of equilibrium equations (vertical and rotational)
is the same as the number of unknown reactions (forces and
moments)

So basically, 2 reaction forces for the two equilibrium equations.

Question 3

Simply in a sentence, what needs to be considered to solve a statically indeterminate beam?

Answer 3

As the number of equilibrium equations are now less than the unkown reactions (rotational and verticle). We must consider now the deflection of the beam before we solve the reactions

Question 4

How do you work out a statically indeterminate beam using the double integration method?

Answer 4

Question 5

How do you work out a statically indeterminate beam using the superposition method?

Answer 5

Note:
* you need to work out the reaction force to make the original condition work. This is done by evaluating one side and then evaluating a force equal and oposite to then match the original condition.