Tensile Modulus (chord modulus of the fiber)
E = B x (P2 - P1) x Ro / ((e2 – e1) × MUL) ----- ASTM D4018
where:
E = fiber chord modulus, GPa;
P2 = tensile load at upper strain limit, N (lb);
P1 = tensile load at lower strain limit, N (lb);
Ro = fiber density, g/cm³;
e2 = upper strain limit, microstrain;
e1 = lower strain limit, microstrain;
MUL = fiber mass unit length, g/m; and
B = unit conversion factor (10^-3 if load is in N).
My test results (resin-impregnated carbon tow):
Tensile load at upper strain limit, N (Pu) = 1190
Tensile load at lower strain limit, N (Pl) = 725
Fiber density, g/cm3 = 1.8
Elongation % = 1.51
Strain at Failure, micro-strain = 15120
Upper strain limit, micro-strain = 6000
Lower strain limit, micro-strain = 1000
Fiber mass unit length, g/m (MUL) = 0.813
Unit conversion factor (10−3 if load is in N) (B) = 0.001
Fiber chord modulus, GPa (E) = 0.000205904
Could you please help me understand why there is such a large discrepancy in the modulus of resin-impregnated carbon tow? The carbon tow modulus should be in the range of three digits before the decimal point.
Also, I have concerns about whether the equation provided in ASTM D4018 is correctly balanced in terms of units.