Shear strength of the beams was calculated using an analytical expression given in literature for plain concrete beams and here extended to the case of fibrous concrete beams of hooked steel fibers on the subject, while the analytical results in terms of load deflection curves, under monotonic actions, were generated using a non-linear finite element program (DRAIN-2DX).
Natural frequencies of several micro-beams are calculated using derived non-classical models and results are compared to the experimental ones.
The onset of instability in terms of the critical value of the nondimensional aerodynamic pressure for the sandwich beam is calculated using the p-method scheme.
The analytical spatial correlation results in the antenna and beam domains were calculated using (8) and assuming that the beam patterns at the transmitting mobile terminal were ideally omnidirectional (antenna gain is in unity in all azimuth directions).
The properties of each beam stick (Table 1) were calculated using Equations 2, 3, 4, 5, and 6.
The flexural strengths of concrete beams under four-point flexure were calculated using the equation f = PL/bh 2, where P is the applied load, L is the clear span length, b is the beam width, and h is the beam height.
Theoretical estimates of midpoint displacement were calculated using an analytical beam model.
The intrinsic elastic modulus E (MPa) and ultimate stress σult (MPa), were calculated using the standard beam theory [27] and geometrical data previously measured from μCT images of the femurs [17].
The bone elastic modulus E (MPa), ultimate stress σult (MPa) and yield stress σyield (MPa) were calculated using the standard beam theory [50] and the mid femur cross-section dimensions (anteror posterior diameter and medial lateral moment of inertia) measured from the μCT scanner data.
