How to Determine Whether a Beam Is Stable

[steevee]

Homework Statement

Hi all,

I have a HW question which is about a simple beam the beam carries a uniform load across its whole length and has two concentrated loads. The beam looks something like this:

O____________I____________________I_________________X

Where: I = concentrated loads
O = roller support
X = hinge support

Homework Equations

I was taught that before I can start any calculations that I must check whether the beam is stable or not and whether the beam is statically determinate or not. The problem is I'm not sure how to determine this.

The Attempt at a Solution

I understand that the hinge support is fixed and the only freedom it gives is rotation in the z-axis and the roller is also free to rotate in the z-axis but is also free to translate in the x-axis.

 

[steevee]

1. Homework Statement

Hi all,

I have a HW question which is about a simple beam the beam carries a uniform load across its whole length and has two concentrated loads. The beam can be viewed in the attachment.


2. Homework Equations


3. The Attempt at a Solution

I was told that before I could start any calculations that I need to check whether the beam is stable or not and whether the beam is statically determinate or not. How do I check these factors?

I understand that the hinge support is fixed and the only freedom it gives is rotation in the z-axis and the roller is also free to rotate in the z-axis but is also free to translate in the x-axis.