Relationship between Beam Section Depth and Bending Moment

AI Thread Summary
The discussion centers on the relationship between beam section depth and bending moment capacity, specifically comparing a 500mm deep beam to a 400mm deep beam with a known capacity of 200 kN.m. It is clarified that bending moment capacity is influenced by the beam's material properties and geometry, rather than just the section depth. The formula relating bending stress to section properties indicates that bending moment capacity increases with the square of the section depth. Without the span measurement, the exact bending moment capacity of the 500mm deep beam cannot be calculated directly. The conversation emphasizes the distinction between bending moment and bending moment capacity in structural analysis.
joeykeys
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Ok. There are 2 universal beams. One is 500mm deep and the other one is 400mm deep. For both beams, the top and bottom flanges are 200mm wide x 10mm deep. [SPAN of the beams is not given]

Questions is..If the maximum bending moment capacity of the 400mm deep universal beam is 200 kn.m. What is the bending moment capacity of the 500mm deep beam?

What i think is that beam's bending moment has nothing to do with its section depth is it?
So the answer to the question would be "Cannot be calculated since both the span measurement is not given."

Or there are other answers to this?

Thanks.
 
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What on Earth are you studying?
 
Bending stress is roughly proportional to the square of the section depth.
 
joeykeys said:
r
Questions is..If the maximum bending moment capacity of the 400mm deep universal beam is 200 kn.m. What is the bending moment capacity of the 500mm deep beam?

What i think is that beam's bending moment has nothing to do with its section depth is it?
Are you confusing 'bending moment' with 'bending moment capacity'? The former is a function of loading, span, end conditions, etc. while the latter is a function of the beam's material properties and cross sectional shape.
 
I'd guess is that the answer they want is something along the lines of

Sy = M1*y1/I1 = M2*y2/I2

where you know M1, y1, I1, y2, I2, and can rearrange the above to find M2.
 
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