I need help on how to calculate the flexural rigidity (D) of an orthotropic plate. For instance, if I have a composite plate that has 2 plies. Ply 1 has Young's modulus of E1 and E2 with Poison ratio of V12, whilst Ply 2 has 2E1 and 0.5E2 with 1.2*V12.
For isotropic plate, I can use D = Eh3/12(1-v2). However, how to determine D for a composite plate using smear method. This value of D is needed to calculate the deflection of the composite plate using w = 0.00416 qa4/D, where a is the width of the plate.
Iam working in composite orthotropic laminates consists of many plies having different material properties in each ply. How to determine or calculate the flexural rigidity (D) of this laminate by transforming these composite into an isotropic model. The idea is that flexural rigidity of the orthotropic laminate is being smeared into a single isotropic formulation.
For instance: if I have three plies:
Ply1 : D1x and D1y
Ply2: D2x and D2y
Ply3: D3x and D3y
I am looking a formulation to simplify the above D1x, D1y, D2x, D2y, D3x and D3y into a single D that behaves as an isotropic model.
Any help is very much appreciated.
I need to know the formula or expression to calculate the flexural rigidity (D) of RC Slab reiforced with steel bars. I know that for plain concrete, D can be taken as Et3/12(1-v2). However, I have no idea what is D when steel bars are added to slab. I really appreciate for any kind help. Thanks