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A new hyperbolic shear deformation theory for flexure of thick beams, in which number of variables is same as that in the hyperbolic shear deformation theory, is developed. The theory takes into account transverse shear deformation effects; the noteworthy feature of theory is that the transverse shear stresses can be obtained directly from the use of constitutive relations with efficacy, satisfying the shear stress free condition on the top and bottom surfaces of the beam. Hence, the theory obviates the need of shear correction factor. The cantilever isotropic beam subjected to varying load is examined using the present theory. Results obtained are discussed critically with those of other theories.

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