Simply Supported Beam Safe load

  • Thread starter Thread starter rad10k
  • Start date Start date
  • Tags Tags
    Beam Load
Click For Summary

Discussion Overview

The discussion revolves around calculating the safe load for a simply supported beam made of mild structural steel, with a solid square cross-section. Participants explore various approaches to determine the maximum load that can be applied at the center of the beam, addressing concepts such as bending moments, moment of inertia, and safety factors.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about the calculations needed to determine the safe load and asks for guidance on whether to calculate the maximum bending moment divided by a safety fraction.
  • Another participant emphasizes the need to know the maximum stress to solve the problem and suggests using the simple bending equation.
  • Several participants discuss the calculation of the moment of inertia and its relation to the section modulus, with varying interpretations of the terms and equations involved.
  • There are multiple attempts to compute the moment of inertia, with some participants correcting each other's calculations and clarifying the use of units.
  • Discrepancies arise regarding the factor of safety, with one participant suggesting a safety factor of 0.25, while others indicate that it should be greater than 1.
  • Participants debate the correct units for various calculations, including the moment of inertia and stress, leading to further confusion about the final answers.
  • Later posts introduce the need to check for deflection limits, indicating that the discussion may need to encompass additional factors beyond just the safe load calculation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct calculations or interpretations of terms. There are multiple competing views on the proper approach to the problem, and the discussion remains unresolved regarding the final safe load and the implications of deflection limits.

Contextual Notes

Participants express uncertainty about the definitions and calculations related to moment of inertia, section modulus, and safety factors. There are also unresolved issues regarding unit consistency and the application of bending equations.

  • #31
rad10k: You obtained the same answer because you used your previous applied load to compute the deflection. Then you used that deflection to again compute the applied load. Perhaps talk to your tutor.
 
Physics news on Phys.org
  • #32
rad10k said:
Pongo38 : Well for instance the formula in post 20 : w = 4M/e. That was originally in my textbook as a formula for maximum bending moment : M = we/4 for a simply supported beam with point load in the middle but had been swapped around to solve to be used to solve W. I don't understand why the 4 was moved to be multiplied by M and then divided by e ?? Hope this ellaborates more on what I mean :os

w = 4M/e is an equation where the left hand side is equal to the right hand side. If you divide both sides of the equation by 4, then the equality should hold. So, w/4 = M/e because 4/4 is the same as 1.
Then if you multiply both sides of the equation by e, then the equality still holds. So, we/4 = M.
Does that cover the point you are making?
Incidentally it is conventional to distinguish between upper case W and lower case w. So you should be careful to use the same symbol throughout.
 
  • #33
thanks pongo38 that helps.

nvn : I spoke to my tutor and explained that I was getting the same answer using the formula in post 23. Apparently I am solving ObZ/k = M incorrectly and should be using EL = M
then using the formula in post 23.

E = 204 000
 
  • #34
hi i am have the same problems with this quetion you mentioned that your tutor said use EL= M i asume that E is modules of elastcity in N/mm2 and i assume L is length of beam in mms and you also say that the formula is post 23 but i cannot work out which formula you used any help and i would be very greatfull
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
Replies
6
Views
4K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 6 ·
Replies
6
Views
15K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 8 ·
Replies
8
Views
10K