Type of beam with type of loading maximum bending moment formula
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That depends on the structure and the support conditions, the magnitude and location of the load.
What structure are you referring to?
A simply supported beam? A cantilever beam? A portal frame?
Other parameters being the same the maximum bending moment is influenced by:
Magnitude of the applied load. The more the load, the more the BM
Position of the load and the location where the BM is measured. In a simply supported beam, the closer the load is towards the centre the more the BM. The location at which you are determining the BM is also relevant. The closer this location is to one of the Point Loads, or the centre of the span, the more the moment. In a cantilever, the farther away from the support the load is, the more the moment at the support. The closer the measurement location is to the free end, the less the moment at that location.
The direction of the load. In a chimney if the load is vertical, there is no moment but if the load is horizontal there is a moment the magnitude of which depends on where along the height you are measuring the moment and also where along the height you are applying the load and and also if the applied horizontal load is a uniformly distributed or if it is a point load .
Support conditions (fixed or hinged) and also nature of the connections between members (rigid or flexible) also influence the moment. Introducing a hinge some where in the structure immediately releases the moment at that location to zero but leads to increases in moment at other locations in the structure
The relative stiffnesses of the members framing into a joint in a statically indeterminate structure also have an effect. Moments at a rigid joint where several members meet, are shared by the members. The stiffer members are subjected to more moment and the less stiff members are lightly loaded.
As you can see, this is not a simple question with a simple answer.
I trust this will explain what Structural Analysis is all about and it’s importance.
Today all this is done with powerful software, with a few mouse clicks and keyboard data entries. I had enjoyed the privilege of doing all this with paper and pencil and a straight edge aided by my numerical skills and knowledge of traditional old manual computational techniques. We got answers which were within 5 to 10 percent of the 100 percent accurate results that computers now give depending on what method we used. Of course we took much longer but the pleasure and satisfaction was more and we did not experience that feeling of helplessness some youngsters feel today when they see the voluminous output of the computer and wonder if all that is correct.
What structure are you referring to?
A simply supported beam? A cantilever beam? A portal frame?
Other parameters being the same the maximum bending moment is influenced by:
Magnitude of the applied load. The more the load, the more the BM
Position of the load and the location where the BM is measured. In a simply supported beam, the closer the load is towards the centre the more the BM. The location at which you are determining the BM is also relevant. The closer this location is to one of the Point Loads, or the centre of the span, the more the moment. In a cantilever, the farther away from the support the load is, the more the moment at the support. The closer the measurement location is to the free end, the less the moment at that location.
The direction of the load. In a chimney if the load is vertical, there is no moment but if the load is horizontal there is a moment the magnitude of which depends on where along the height you are measuring the moment and also where along the height you are applying the load and and also if the applied horizontal load is a uniformly distributed or if it is a point load .
Support conditions (fixed or hinged) and also nature of the connections between members (rigid or flexible) also influence the moment. Introducing a hinge some where in the structure immediately releases the moment at that location to zero but leads to increases in moment at other locations in the structure
The relative stiffnesses of the members framing into a joint in a statically indeterminate structure also have an effect. Moments at a rigid joint where several members meet, are shared by the members. The stiffer members are subjected to more moment and the less stiff members are lightly loaded.
As you can see, this is not a simple question with a simple answer.
I trust this will explain what Structural Analysis is all about and it’s importance.
Today all this is done with powerful software, with a few mouse clicks and keyboard data entries. I had enjoyed the privilege of doing all this with paper and pencil and a straight edge aided by my numerical skills and knowledge of traditional old manual computational techniques. We got answers which were within 5 to 10 percent of the 100 percent accurate results that computers now give depending on what method we used. Of course we took much longer but the pleasure and satisfaction was more and we did not experience that feeling of helplessness some youngsters feel today when they see the voluminous output of the computer and wonder if all that is correct.
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