TY - JFULL
AU - Yuwaraj M. Ghugal and Ajay G. Dahake
PY - 2013/6/
TI - Flexure of Cantilever Thick Beams Using Trigonometric Shear Deformation Theory
T2 - International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering
SP - 957
EP - 967
EM - ghugal@rediffmail.com
VL - 7
SN - 1307-6892
UR - http://waset.org/publications/9997178
PU - World Academy of Science, Engineering and Technology
NX - International Science Index 77, 2013
N2 - A trigonometric shear deformation theory for flexure of thick beams, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. The noteworthy feature of this theory is that the transverse shear stresses can be obtained directly from the use of constitutive relations with excellent accuracy, satisfying the shear stress free conditions on the top and bottom surfaces of the beam. Hence, the theory obviates the need of shear correction factor. Governing differential equations and boundary conditions are obtained by using the principle of virtual work. The thick cantilever isotropic beams are considered for the numerical studies to demonstrate the efficiency of the. Results obtained are discussed critically with those of other theories.
ER -