Calculation of shear capacity v_c for the wall group

1. Each wall segment will be considered in turn. For each wall segment, the calculation of v_c will be made according to the equation in BS8110:1 Table 3.8. The calculation will be performed in the following manner:
   • b_v will be taken as the thickness of wall (b) immaterial of the orientation of the wall segment.
   • d will be measured along the length of wall segment (e.g., d_B for wall B above).
   • The shear force capacity of the segment will be determined by multiplying the value of v_c by (b_v.d)
   • This shear force capacity will be resolved in the direction of the shear force being considered for design. This implies that wall segments perpendicular to the design direction will not contribute to the shear capacity of the wall group.
2. The values of the resolved shear force capacity are summed up for all the wall segments.
3. The total shear force capacity is divided by the shear area in the direction of shear force being considered for design to obtain v_c.

Determination of the shear area for wall group A_v

To determine the shear area in the direction of shear force being considered for design, the following equation will be adopted:

Av = Σbvproj.d

where

Σ	=	represents summation for all wall segments in the wall group
bvproj	=	is the thickness of the wall projected in the direction perpendicular to the direction of shear being considered for design. This implies that walls perpendicular to the shear direction will not influence Av.
d	=	is the length of the wall segment along its length

Calculation of area of shear reinforcement required

The equation given in Table 3.7 of BS8110-1 is utilised: where

v

=

the shear stress for the wall group calculated as: $\frac{F_v}{A_v}$, with Av calculated as in the preceding section.