Multiple Point Loads into a UDL

[Superstar123]

Hi all,

I know this is a basic question but I am trying to refresh my memory. I have 9 300lb point loads on my sloped beam. In order to analysis my structure I wish to convert these point loads into a UDL.

For reference, my sloped beam is a staircase, the 300 lb point loads are what I am considering per tread. I wish to model the load on the stringers as a UDL. I am using 300 lb / tread (on the stringer)rather than 150 lb has a conservative assumption.

 

[hetgen]

I'm I missing something? the answer should be as simple as
9 x 300lb devided by the length of the stringer.

 

[Lomarandil]

That's it hetgen.

----
just call me Lo.

 

[Superstar123]

Thanks all, I am a new grad and just needed a quick refresher to confirm my thoughts.

Appreciate the help!

 

[BAretired]

The stringer length is 9'-0" and is sloping. The load is 300/75 = 40#/" or 480#/' (based on horizontal projection of stringer). But if you use stringer length, loads should be resolved into components parallel to and normal to the stringer.

BA

 

[kipfoot]

Also, keep in mind that a uniform load of 100 lbs/sf, applied over the area of the treads, may be more than 300 lbs at the stringer. You don't say what type of system you're designing, but often it's the uniform load OR a point load applied at an unfavorable location.

If it's a fancy stair with a single steel support, then deflection may be your bigger challenge.