How do I Calculate Maximum Length for a W24 X 94 Beam with Moment Loads?

[Jerry Graham]

I have a W24 X 94 beam (50KSI) that is loaded with a 3,500,000 in-lb moment load at each end. How do i calculate the maximum length of the beam that can support the moment loads?

 

[jrmichler]

This sure looks like a homework problem, although your profile says not in school.

Consider all possible failure modes - allowable deflection, buckling, etc. Calculate the beam length for each failure mode. The shortest length is your answer. Hint: Take a close look at your end support conditions.

 

[berkeman]

I have a W24 X 94 beam (50KSI) that is loaded with a 3,500,000 in-lb moment load at each end. How do i calculate the maximum length of the beam that can support the moment loads?

Welcome to the PF.

What is the application? What are the potential consequences of the beam failing?

 

[Dr.D]

You really have to define what constitutes failure. @jrmichler pointed to this, but I'd like to be more explicit. Does it have to break apart to be considered a failure, it is yielding the criterion of interest? Excess deflection is also often considered failure.

 

[osilmag]

The engineering toolbox has a useful section on beams:

https://www.engineeringtoolbox.com/beam-stress-deflection-d_1312.html