Simply Supported Beam Safe load

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SUMMARY

The forum discussion focuses on calculating the safe load for a simply supported beam made of mild structural steel with a solid square cross-section of 100 mm, supported 3 m apart. The calculations involve determining the moment of inertia (I) using the formula I = 1/12 * d^4, yielding a value of 8,333,000 mm^4. The maximum bending moment (M) is calculated using the yield strength (Ob) of 480 N/mm² and a factor of safety (k) of 4, resulting in a safe load of approximately 26.7 kN. The discussion emphasizes the importance of using consistent units and understanding the underlying formulas for accurate calculations.

PREREQUISITES
  • Understanding of beam mechanics and bending moments
  • Familiarity with moment of inertia calculations for square cross-sections
  • Knowledge of material properties, specifically yield strength of mild steel
  • Ability to manipulate and rearrange engineering formulas
NEXT STEPS
  • Study the derivation and application of the bending moment formula M = wL²/8 for simply supported beams
  • Learn about the relationship between moment of inertia (I) and section modulus (Z) in beam design
  • Research the maximum allowable deflection limits for structural beams
  • Explore the implications of safety factors in engineering design and analysis
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in the design and analysis of beams in construction will benefit from this discussion.

  • #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.
 
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  • #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
 

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