3 Type “Slab with ribs”

This is a special type for thick plates without transverse contraction.

The user is able to input cross-section in the x-direction from library of cross-sections or via direct input of rib properties.

There are two options for the rib:

Rib type “CSS lib”

– the user is asked to select a cross-section from library and spacing between the cross-sections

 

The formulas for Dij parameters include also possible diverseness Ex ≠ Ey [Nm-2]. Properties of ideal T-section are taken into account in the case of Ex ≠ Ey. The centre of gravity of an ideal T-section is calculated and cross-section is transformed to a cross-section with one E modulus.

Case 1: The E modulus of the cross-section (E1) is greater than E modulus of the slab (E2)

Case 2: The E modulus of the rib (E1) is lower than E modulus of the slab (E2)

Model Slab with ribs takes into account the flexural stiffness of the T-section (cross-section + slab). Model One direction slab calculates only with sectional properties in the x-direction!

The following properties are taken from sectional and slab properties:

E1 modulus of elasticity of cross-section [ MPa ]
E2 modulus of elasticity of slab [ MPa ]
IyCss moment of inertia of cross-section [ m4 ]
IySlab moment of inertia of slab [ m4 ]
a1 distance between 1D members [ m ]

The last two parameters are related to the shear stiffness of the cross-section and slab. D44 and D55 are considered in the sense of the Mindlin model.


Az1 effective surface for shear of cross-section [ m2 ]
G1 modulus of elasticity of cross-section [ MPa ]
G2 modulus of elasticity of slab [ MPa ]
Membrane orthotropy
Membrane

Effective height, hx [mm]

Effective height of slab in "x" direction for membrane behavior
Effective height, hy [mm] Effective height of slab in "y" direction for membrane behavior
Material Material of slab
d11 [MN/m]
d22 [MN/m]
d12 [MN/m]
d33 [MN/m]
Rib type “Input“

– the user is asked to input the dimensions of the rib (T-section) and spacing between the ribs

 

E modulus of the material
I moment of inertia of a T section of width a1
Az shear surface of a T section of width a1
h / H torsional rigidity of the rib
t rib thickness
h .slab height
(H-h) rib depth