On the shear coefficient in Timoshenko's beam theory

Nonlocal Reddy beam model for free vibration analysis of multilayer nanoribbons incorporating interlayer shear effect

“…According to this table the values of shear correction factor is not dependent on the thickness of MLGNRs for the first frequency as the behavior has been reported in [73] while it is the other way round for the shear correction factor of the second frequency. Furthermore, the results tabulated in Table 4 are close to the values of shear correction factor for micro-beams reported in the literature [74][75][76]. This indicates that one can use the results of shear correction factor of micro-beams with good precision for nano-beams.…”

A microstructure-dependent Timoshenko beam model based on a modified couple stress theory

“…where I I y ¼ R A z 2 dA, E is Young's modulus, n is Poisson's ratio, and K s is the Timoshenko shear coefficient, which is introduced as a correction factor to account for the non-uniformity of the shear strain over the beam cross-section (e.g., Kaneko, 1975;Stephen and Levinson, 1979;Jensen, 1983;Wang, 1995;Hutchinson, 2001). Note that in reaching Eqs.…”

In-plane free vibrations of circular beams made of functionally graded material in thermal environment: Beam theory approach

“…Reviews on the shear correction factor including different approaches can be found in Refs. [62][63][64][65][66][67][68]. In all these references, the effect of the approach on the first few frequencies are very low.…”

“…In these references, elastostatic approach is used. There is also elastodynamic approach which is based on the free vibration data of the structure [61,62,66]. Reviews on the shear correction factor including different approaches can be found in Refs.…”