Section calculation of RC member receiving bending load (Design of allowable stress level)
1. Section calculation policy
Follow the normal bending strength calculation method for reinforced concrete member based on the assumptions below:
Assumptions for calculation:
 (1) Compressive stress generated by concrete has a triangular distribution.
 (2) Tensile strenth of concrete is ignored.
 (3) Navier hypothesis is established.
 (4) Tensile stress is received by the TORAYCA^{®} laminate.
 (5) Only the stress generating after application is received by the TORAYCA^{®} laminate.
Concept of bending reinforcement of RC member
2． Section calculation procedure

1) Calculation of neutral axis position (X)
Assume the Trayca^{®} laminate reinforcement amount and calculate the position of the neutral axis based on the balance of forces.
Balance of forces: Compressive force (Cc + Tsc) = Tensile force (Ts + Tcf)
X＝｛－Y＋√(Y^{2}＋2・b・Z)｝／b
Y＝n・Asc＋n・As＋ncf・Acf
Z＝n・Asc・dc＋n・As・d＋ncf・Acf・D  2) Calculation of geometric moment of inertia (I) relating to the neutral axis
Ｉ＝b・X^{3}／3+n・Asc(X－dc)^{2}＋n・As(d－X)^{2}＋ncf・Acf(D－X)^{2}  3) Calculation of stress level
Calculate the level of stress generating at the reinforced member when the design bending moment applies.
Compressive stress level of the concrete :
σc＝_{D}M・X／I
Compressive stress level of the compressed reinforcing steel :
σsc＝n・_{D}M (X－dc)／I
Tensile stress level of the tensile reinforcing steel :
σs＝n・_{D}M (d－X)／I
Tensile stress level of the TORAYCA^{®} laminate :
σcf=ncf・_{D}M (D－X)／I
n  Young's modulus ratio of the reinforcing steel/concrete 

ncf  Young's modulus ratio of the TORAYCA^{®} laminate/concrete 
Lx  Effective span of the short side of the rectangular slab 
Ly  Effective span of the long side of the rectangular slab 
λ  Side length ratio of the slab (Ly/Lx) 
B  Unit width of the slab 
t  Thickness of the slab 
dc  Distance from the compressed edge to the center of gravity of the compressed reinforcing steel 
dt  Distance from the tensile edge to the center of gravity of the tensile reinforcing steel 
ac  Crosssection area of the compressed reinforcing steel 
at  Crosssection area of the tensile reinforcing steel 
DL  Fixed load 
LL  Loading capacity 
MDL  Bending moment under fixed load 
MLL  Bending moment under loading capacity 
MTL  Bending moment under (fixed load + loading capacity) 
Msy  Bending yield strength of the nonreinforced member at yielding of the reinforcing steel Msy=at･σｙ･(tdt）･7/8 
X  Distance from the compressed edge to the neutral axis 
I  Geometric moment of inertia relating to neutral axis 
σc  Compressive stress level of the concrete 
σsc  Compressive stress level of the compressed reinforcing steel 
σst  Tensile stress level of the tensile reinforcing steel 
σcf  Tensile stress level of the TORAYCA^{®} laminate 