In bridge engineering, the effect of heavy trucks is modeled as concentrated loads, often close to the support. For slab bridges, this loading case results in large shear stresses. Typically, the code provisions for shear do not take into account the beneficial effect of transverse load redistribution in slabs. A new expression that follows the safety philosophy of the Eurocodes is based on the principles of structural reliability. Experimental results and the Eurocode 2 expression for shear are used as a starting point. The enhancement factor that describes the influence of transverse load redistribution is sought. Monte Carlo simulations are run to determine the necessary enhancement factors so that the associated reliability index is conform the safety format, i.e. the Repair Level for assessment of solid slab bridges. Finally, a formula is proposed for the shear capacity of slabs under concentrated loads close to supports.