There are many established methods of solving deflection of beam. Some notable methods are as follows.
The most widely used are the method of superposition and area-moment method. Links are provided in the related linksfor you to read the procedure for each method and many examples in simply supported beams.
For finding deflection of beam you need to know following parameters 1. Length of beam 2. Type of loads on beam 3. Location of load 4. Cross section area or area moment of inertia of beam 5. Beam material 6. Ty
Q
cantilever beam,contineous beam,fixed beam,simply supported beam
No
A simply supported beam is just that - the most simple arrangement of the structure. The beam is supported at each end, and the load is distributed in some way along its length. There is more to the application of this than might first appear, but it's the starting point for analysis. What is the load on the beam going to be? If it's a floor joist, how much is the furniture going to weigh that is placed on it? What if someone wants to put a steel safe in the middle of the span of the beam under consideration? You get the picture. But it all stems from a beam supported at the ends and having to bear a load distributed in some way along its length. Simply-supported describes the constraints imposed on the beam by its foundations. A simply supported beam cannot have any translational displacements at its support points, but no restriction is placed on rotations at the supports. Links are provided to sites where more detailed information is available.
It is a beam that is attached at aboundary that is free to rotate, like a hinge. It cannot develop a bending moment. It is often used to idealize a simply supported beam
Deflection of simply supported beam is given by P*l^3/(48E) Where P= point load at centre of beam l= length of beam E= Modules of elasticity
because the deflection in simple suported beam is more due to the orestriction at the ends as the ends are freely supported by twoo supports
A cantilever beam is a beam which is fixed at one end ( no translation or rotation). A propped cantilever beam is a beam which is fixed at one end ( no translation or rotation) and simply supported ( no translation) at the other end. A cantilever beam is a beam which is fixed at one end ( no translation or rotation). A simply supported beam is a beam which is simply supported at both ends. A propped simply supported beam is a beam which is simply supported at both ends and simply supported at some other point such as at the center, to reduce deflection under load. Propped beams are statically indeterminate.
Q
There isn't really an advantage of having a fixed beam vs. a simply supported beam, it depends on what application the beam is for. If one of the design criteria of the beam is that it be able to deflect from one end to another then you are going to want to use a fixed beam. For example such applications could include a diving bored. A simply supported beam differs from a fixed beam because the beam is supported at both ends. Thus when a simply supported beam is loaded, the deflection will occur throughout the beam, since the ends are confined and will remain as they were. Furthermore on a fixed beam, (the end that is fixed) will have restrictive forces and moments keeping the end from moving.
Deflection is inversely proportional to moment of inertia, the larger the moment of inertia the smaller the deflection. Deflection is (with a simple centerloaded beam) is PL^3/48EI The various deflections are as follows: (i) for a simply supported beam with point load (center)=PL^3/48EI (ii) // // // UDL= 5PL^4/384EI (iii) for a cantilever with point load= PL^3/3EI (iv) // // with UDL= PL^4/8EI visit deflection calculator http://civilengineer.webinfolist.com/str/sdcalc.htm
http://beamsbending.com/Applet.html
you will need that to calculate the strength and deflection of the beam, and also strength of the support itself
Deflection of beam means amount by which beam gets deflected from its original position.
solid beam have more deflection
cantilever beam,contineous beam,fixed beam,simply supported beam
b'coz in smply supported beam it has two fixed ends