Calculation of deep beam reinforcement - principles

The method of calculating deep beams is based on the following presented principles, as defined in Appendix E5 to the French BAEL 91 code.

The deep beam height should equal at least a half of the calculation span.
The deep beam should be stiffened in the near-support zone by means of brackets or other deep beams, able to provide the required transversal support.
A load applied to a deep beam is a uniform load distributed over each span and it is applied to the upper part of the deep beam.
Moments of inertia of cross-sections are identical for each span.
The proportion of successive span lengths should fall within the range <0.8 and 1.25>
Cracking is treated as not severe.

The following symbol definitions have been adopted in the description of the methods of calculating reinforcement area for deep beams:

lt	Deep beam length in the axes of supports.
lo	Deep beam length at the face of supports.
l	Calculation length of the deep beam = min(lt; 1,15lo).
h	Deep beam height.
bo	Deep beam width.
z	Arm of internal forces.
p	An uniform load, recognizing load coefficients for constant and variable loads.
	A moment originating from the "p" load.
	Shear force originating in the operation of "p" load.
	Shear stress equal: