Finding the allowable uniform load

  • Thread starter Thread starter mustang1988
  • Start date Start date
  • Tags Tags
    Load Uniform
Click For Summary

Discussion Overview

The discussion revolves around determining the allowable uniform load (w) on a beam given specific parameters, including allowable bending stress and point loads. Participants explore the relationship between bending moments and loads, focusing on theoretical calculations and the implications of multiple forces acting on the beam.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant states the need to determine the allowable uniform load (w) given the allowable bending stress of 24 ksi and the relationship P=15w.
  • Another participant mentions that some moment capacity is consumed by the moment due to the point loads, suggesting the need to draw a moment diagram for the entire beam.
  • A participant clarifies their earlier calculations, indicating they derived a maximum moment (Mmax) of 575 k.in but expresses uncertainty about solving for w.
  • There is a discussion about the correct formulation of the moment equation, with one participant suggesting that M should account for both the uniform load and the moment from the point loads (3P).
  • Another participant confirms the need to combine the moments from the uniform load and the point loads in the equation for M.
  • Participants emphasize the importance of using consistent units in calculations.

Areas of Agreement / Disagreement

Participants generally agree on the need to consider both the uniform load and point loads in the moment calculations, but there remains some uncertainty about the correct formulation and how to solve for w.

Contextual Notes

Participants have not resolved the specific mathematical steps required to isolate w, and there are assumptions regarding the beam's loading conditions that have not been fully articulated.

mustang1988
Messages
26
Reaction score
0
1. Determine the allowable uniform load w if the allowable bending stress is 24ksi and
P=15w
Given: I=12,800in^4; c=16.965in



2. I know that Mmax=\sigmamax/c(I); And Mmax=wL^{2}/8



3. I solved for Mmax=18,107.869 k in; but I don't understand how to solve for w with the two P forces also. If someone could help me with this part I would greatly appreciate it. Thanks
 

Attachments

  • Untitled.jpg
    Untitled.jpg
    4.9 KB · Views: 469
Physics news on Phys.org
some of the moment capacity is used up by the moment of 3P in the central portion of the beam, thus leaving less available for the uniform load. I suggest you first draw the M diagram for the whole beam.
 
Thats supposed to be a 3ft from P to the edge, sorry my drawing skills are not great. I already did the M diagram that is where i came up the max of 575. I just don't know how to solve for the w.
 
Maybe you are missing the point that p=15w. Therefore M isn't just wL2/8 but also 36x15w=540w k.in at the centre
 
O ok, so M would be equal to wL2/8+540w?
 
Yes, but be careful to use consistent units throughout. Like kip inches, or whatever.
 
ok thanks for the help
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K