Which steel beam is suitable?

Hello, I have an assignment about steel beams and would like to have the physical background explained to me.

Question: Which construction has the best ratio of load-bearing capacity to building mass for supporting a balcony?

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waldenmeier
1 year ago

Hi.

would make it easier, first with the aid of a wooden beam, explain:

When a bar is thus stressed on bending, compressive stress is produced in the upper fibers of the cross-section and tensile stress is produced in the lower fibers, while the middle fibers “swell”.

So if I want to save mass on the component, why don’t I take what away in the middle area? Of course, I can’t take everything away, otherwise the bar won’t hold more than one piece together.

In the case of a double-T-carrier (i.e. no. 2) made of steel, this principle is so to speak driven to the tip: above a flange which absorbs pressure, below a flange which receives tension and in the middle a thin web which holds the whole together.

Say: little mass, much bending load.

Halfway comprehensible?

Greetings!

Viktor1
1 year ago

Load capacity for construction material?

both 2) and 4) can be with the same mass (of course always the same) outer Dimensions) have the same load capacity for vertical loads (only for these). The two vertical “bars” of 4) are then together as thick as that of 2)
4), however, also has a greater load capacity for horizontal loads than 2).

pharao1961
1 year ago

Of course No. 2.

verreisterNutzer
1 year ago

Number 2. Has the second most compact construction material and provides sufficient support surface up and down.

Nayes2020
1 year ago

is actually not a physical question but a static one that goes beyond normal school mechanics…

but it is numero 2. Because the moment of inertia here is best. The idea is that the legs at the top and bottom are at most far away from each other and only connected to a thin carrier in the middle mechanich. so you have the best weight ratio to moment of inertia. Since you save the material in the middle.

With this you have the least bending due to the weight of your own. Because balconies and bridges do not have to bear loads but themselves

Wechselfreund
1 year ago
Reply to  LEO2619

I’d rather have assigned moments of inertia when rotating bodies?

Nayes2020
1 year ago
Reply to  LEO2619

Puh Baumechanik 2 is really long. I would just have to refer from memory and that can be wrong. Therefore, I would rather ask Dr. Google.

Nayes2020
1 year ago

yes this moment of inertia (then for the supplement) is really not easy to explain in few words

waldenmeier
1 year ago

You don’t have to be normal either. This is a characteristic of the strength teaching, relatively special mechanics.

Sorry to LEO2619 that I am not answering, but that would be in a lecture :-P, but unfortunately the time is missing at the moment

Wechselfreund
1 year ago

I don’t know.

waldenmeier
1 year ago

You’re right.

That’s what I mean Areasmoment of inertia of the cross section of the carrier, which was previously swallowed.

noskill187
1 year ago

The double-T-carrier, 2.

It has the most mass/material, most remote from the “neutral chamfer” -> Is therefore the most rigid.