Finite element method

Equivalent uniform reaction forces are determined in exactly the same way as in Marcus method.
Summarizing,
Marcus method gives:

Mx / My=12.86 / 8.26 kNm
Vxr / Vyr=29.18 / 29.18 kN
f=1.60 mm
Czerny [*] Method of Czerny is used by the Standard Solver of the related software. method gives:
Mx / My=13.11 / 7.81 kNm
Vxr / Vyr=22.76 / 21.01 kN
f=1.69 mm
Finite element method gives:
Mx/My=12.9 / 7.6 kNm
Vxr/Vyr=22.1 / 20.1 kN
f=1.73 mm
Notes :
All three methods give practically identical values for bending moments and deflections. Also practically identical shear forces are obtained by Czerny and finite element methods, whereas according to Marcus method result to higher values [*] According to the design of slabs presented in volume C’, in general, sufficiency in shearing is ensured by the required slab thickness against slenderness, which depends on the deflection. As a consequence, shear reinforcement is not provided and shearing is ignored. Sufficiency check in shearing with values higher than the required ones, in the worst case, may lead to excessive slab thickness (thus avoiding hard to be placed shearing reinforcement). .
Note that the maximum bending moment of the two-way slab, i.e. M=13.00 kNm, is lower by 50% than the one of the one-way slab of identical area, i.e. M=29.18 kNm (§3.3.1, §3.3.2).
From §4.6.2.1 it is obvious that the deflection of the one-way slab (ε=ly/lx=?), kx=1.0, νx=1.0 → a m=12·cx·kx·νx=12x5/384=0.156, is 0.156/0.0689 = 2.26 times greater than the deflection of the two-way slab.