218 Kansas Academy of Science, 



I = moment of inertia of reenforced beam about its neutral axis = L 4-Ic. 



Is = moment of inertia of steel about neutral axis of beam. 



Ic = moment of inertia of concrete about neutral axis of beam. 

 Es = modulus of elasticity of steel. 

 Ec = modulus of elasticity of concrete. 

 E« 



fs = maximum intensity of tensile stress in steel, 

 f s^ = maximum intensity of compressive stress in steel. 



f c = maximum intensity of tensile stress in concrete, 

 f pi = maximum intensity of compressive stress in concrete. 

 Ls = load sustained by steel. 

 Lc = load sustained by concrete. 



s = proportion of load sustained by steel. 



c = proportion of load sustained by concrete. 



The steel reenforcement may consist of one or any number of 

 bars, of any cross-section on both sides of the neutral axis or on 

 the tensile side only. 



After stating a number of formulas relating to the bending mo- 

 ment on beams, which have no bearing on the subject of this paper, 

 the author gives these formulas without any deductions: 





Asdi2-fAsHh-dii)2l(e-l)[ 



A-f(As+A.^)(e-l)] 



+ 



{2) x = h-y 

 (3) z = y-d 

 U) u==x-di 



(5) v = y — di where di = d4- radius of steel. 

 {6) t = x — di^ where di^=d^4- radius of steel. 



(j\ Is := AsV^ ~l~ A^st^ -I- ( *^^ moments of inertia of the steel bars about their in- 



^ ' ' ^ dividual neutral axes, which may be neglected for 



small rods without appreciable error ). 



(8) L. = ^-(Asv'^ + A.H-') 



