Shear Design

Shear design procedure for a beam according to Eurocode 2

Step 01
Calculate ultimate design shear force (VEd).

Step 02
Check for maximum shear force; crushing strength of concrete (VRd,max) at face of the support VEf.

VRd,max  = {0.36*bw*d*(1-fck/250)*fck}/(cotθ+ tanθ)  

Calculate, VRd,max for angle 22 degrees and check VRd,22 >= VEf, If this is true, find the shear reinforcement as Step 04


Step 03. 
If this is not true, then find the angle form following equations.
 

Angle = 0.5*Sin-1{VEf/[0.18*bw*d*(1-fck/250)*fck]}<= 45 degrees
or
Angle = 0.5*Sin-1{VEf / [VRd,max(45)]}<= 45 degrees

If angle <= 45 (VRd,max >= VEf) then follow the Step 04, if angle > 45 beam should be re-size or increase the grade of concrete.

Step 04
Calculate shear link requirement
ASW/S =  VEd / (0.78*d*fyk*cotθ)     
Ultimate designs shear force may be taken at a 'd ' distance away form the support.


Step 05
Calculate minimum shear links requirement
ASW,min/S = 0.08*(fck^0.5)*bw/fyk

Step 06
Calculate additional longitudinal tensile force and find the additional tensile force. Thus find the additional reinforcement or curtailment required.