IIRC most modern bricks are made using concrete, so prolly the same as concrete, 6 MPa or
6 J/cc. Google gives me similar results for red clay bricks.
This research pdf however, tells me that the shear strength of a brick is 0.77 that of it's compressive strength. Compressive strength here is 25-65 N/mm^2 or 25-65 MPa, so shear strength (We use low-end shear strength for frag, high-end shear strength or low-end compressive strength for v. frag, and high-end compressive strength for pulv.) is anywhere between 19.25-50.05 MPa (Or J/cc. MPa, J/cc and N/mm^2 are the one and the same).