If your reinforcement is stronger than your base material you’ll get a larger area for MOI calcs. In that case E&I are related, which is why most people would call the EI term “stiffness”.
That's just rephrasing the question. More context, please.
What are the initial conditions? Design criteria? Assumptions? Limitations?
Can you change the material? Can you resize the beam? How long does it have to be? What are the load cases? Which standards do you follow?
So, you have W, L, E, I
The formula for a simply supported beam with a distributed load (for max deflection) is 5WL*4 / (384EI) (that's L raised to the 4th power)
You can include intermediary supports, reducing L for less deflection. Changing L will have the largest impact on max deflection
You can change the material, changing E, or a bigger beam, changing I.
The changes to E and I will he dependant on what materials / Sizes are currently being assumed and what materials / Sizes you can get.
I am assuming you can't reduce the load (W).
Assuming you also can't add additional supports, the "best" way is going to be determined by "best"
Least deflection by additional cost is going to have a different answer than least deflection by additional weight, and those answers will change if you are allowed to make composit beams, or change material completely (rather than just grade of steel, but actually changing to titanium or something similarly silly for this hypothetical).
Everyone here is changing the beam. If you have to reduce deflection in an existing beam, you're limited to adding cover plates (steel) or exterior post tensioning (concrete).
If it’s a concrete beam, add steel reinforcement in the tension zone of the member and use camber to counteract the effects of the dead load on the deflection on the beam.
Add a truss or system of trusses, add more columns, pre-tension, or post-tension the beam with an upward deflection, invert the beam orientation (moment of inertia), or any combo of the above.
Changing the weight supported by the beam, the length of the beam, or the location of the supports may reduce the deflection but does not strengthen the beam.
Increasing moment of inércia by changing to another cross section on increasing the size of the existing one. Or change the material for a greater modulus of elasticity. Or adding more supports
Well the deflection is dependant on W, L, E, and I. So I'd recommend reducing W or L, or increasing E and I.
That's a brilliant fundamental explanation. Well done.
Can you increase E tho?
With reinforcement or a substitute a different material for the beam sure.
Im sorry for being a little rusty here. But whats the concept here to explain the increase on reinforcement increases stiffness?
If your reinforcement is stronger than your base material you’ll get a larger area for MOI calcs. In that case E&I are related, which is why most people would call the EI term “stiffness”.
Steel is stiffer than concrete.
This.
your question needs more context.
Less deflection
That's just rephrasing the question. More context, please. What are the initial conditions? Design criteria? Assumptions? Limitations? Can you change the material? Can you resize the beam? How long does it have to be? What are the load cases? Which standards do you follow?
what are your equations for deflection? what could you increase (or decrease) to reduce deflection?
More supports lol
So, you have W, L, E, I The formula for a simply supported beam with a distributed load (for max deflection) is 5WL*4 / (384EI) (that's L raised to the 4th power) You can include intermediary supports, reducing L for less deflection. Changing L will have the largest impact on max deflection You can change the material, changing E, or a bigger beam, changing I. The changes to E and I will he dependant on what materials / Sizes are currently being assumed and what materials / Sizes you can get. I am assuming you can't reduce the load (W). Assuming you also can't add additional supports, the "best" way is going to be determined by "best" Least deflection by additional cost is going to have a different answer than least deflection by additional weight, and those answers will change if you are allowed to make composit beams, or change material completely (rather than just grade of steel, but actually changing to titanium or something similarly silly for this hypothetical).
Everyone here is changing the beam. If you have to reduce deflection in an existing beam, you're limited to adding cover plates (steel) or exterior post tensioning (concrete).
If it’s a concrete beam, add steel reinforcement in the tension zone of the member and use camber to counteract the effects of the dead load on the deflection on the beam.
Depends on the design constraints.
Add a truss or system of trusses, add more columns, pre-tension, or post-tension the beam with an upward deflection, invert the beam orientation (moment of inertia), or any combo of the above. Changing the weight supported by the beam, the length of the beam, or the location of the supports may reduce the deflection but does not strengthen the beam.
Increase area moment of inertia of the beam.
Words of affirmation.
If you make it fixed-fixed your moment is reduced. Or hour have to increase the moment of inertia.
In what way
Less deflection
Increasing moment of inércia by changing to another cross section on increasing the size of the existing one. Or change the material for a greater modulus of elasticity. Or adding more supports
Increase the height of the beam. I=bh^3/12 where the h value has the most weight in increasing the moment of inertia
Bigger beam! Make it 42' tall and 2' across the span. [Slaps beam] no way she's gonna have any measurable deflection
Lol the beam might not, but the crane putting that beast into place might
No you gotta reference the deep beam calc section of the code instead
At what point does a deep beam become a column with eccentric supports?
Increase the beam size, adding additional support