BEAM188 is a Timoshenko beam and so shear deformation is considered automatically in the formulation. There are other beam elements in ANSYS based on the Euler-Bernoulli formulation. To answer your question you need to run the same problem with both beams and see if/how the results differ. To do this though you will need to make sure that both models are sufficiently refined to produce accurate results otherwise you may be spotting a difference due to inadequate refinement rather than beam formulation.
Can you suggest me beam element that follows Euler-Bernoulli formulation in ANSYS 14.0 /15.0 because to my knowledge Beam 188/189 are available and both follows Timoshenko beam theory.
Have a look at the ANSYS manual. There is also a BEAM4 element which you might use. But I wonder why you are asking this question. It might be that you are observing shear-locking problems when trying to model your beam with BEAM188?
Sir, I want to show comparison in terms of displacement, bending moment,shear force and acceleration between Timoshenko beam and Euler-Bernoulli beam in my model. I had even tried BEAM4, it also shows same error message. I have not got any element for Euler-Bernoulli beam in ANSYS 14.0/15.0, so I thought Slenderness ration greater than 1000 may follow Euler-Bernoulli formulation. Is there any element that directly follows Euler- Bernoulli formulation other than BEAM3/4 because ANSYS 14.0/15.0 doesn't support these two element. ?
I ave not currently got access to ANSYS so can't really help you further. I should explore the help manual because I would suspect that there is still a Euler-Bernoulli in ANSYS that you can use. Otherwise you could email ANSYS and ask the question. I believe that ANSYS might ot support the element anymore but it should still be available in the system...
The kinematic of beam188 element is based on the TBT. Coarsely, you may enforce the element to follow a behaviour similar to those of EBT by setting a fictitious shear modulus G, let say one order of magnitude higher than the Young modulus. Please keep attention to the numerical singularities that may arise.
If your load are in terms of extension, bending in two directions and torsion, you can definitely use the E-B model. Even for composite beams, as long as you have good tool such as VABS or SwiftComp to perform a good constitutive modeling of the beam, you should be able to model it as beam. You can see more of such examples from Analysis of Slender Structures Using Mechanics of Structure Genome and Open Source Codes at https://cdmhub.org/resources/1099.