Bistable arches find a wide range of applications due to their ability to maintain two structural orientations without consuming power. Designing such arches poses significant challenges because of their inherent nonlinear behavior. The nonlinear mechanics of bistable arches are intricately linked to their buckling modes, geometric parameters, and loading conditions. This work investigates bistable arches with pinned-pinned boundary conditions under general distributed load, focusing on arches that are not pre-buckled to induce bistability. Applying the correct amount of pre-stress during manufacturing is a difficult task, hence our focus on arches without pre-stressed. We derive a relationship between two force-free stable equilibrium states of the bistable arch and establish conditions for bistability under distributed load. We assume the initial and toggled (deformed) shapes of the arch as weighted combinations of all the buckling mode shapes of a straight pinned-pinned column. In this study, we aim to optimize the design of an arch under uniformly distributed load for three different objectives: (1) Minimize the volume of the arch. (2) Maximize the mid-travel of the arch. (3) Minimize the load intensity required for a known toggled position. For case 1 and case 2, the unknowns are the initial shape, toggled shape, and cross-section dimensions. For case 3, the unknowns are the initial shape and cross-section dimensions.