Simplified Pedal Analysis
The following is a simplified analysis of the required pedal force and loading in the pedal structure for a proposed design, as seen here and here, with an animation shown here.
The force generated in the pedal and the required pedal force were derived as functions of the loading required by the master cylinder and the geometry of the system. The deformation in the assembly was assumed to be small, and the system was modeled statically. Loads were determined by applying the equilibrium requirement. Assumptions, condition, and simplifications are noted.

This plot shows the normalized pedal force required to brake the car using the proposed mechanism versus the geometry of the system as shown in the derivation. The force is calculated as derived, normalized by the required master cylinder load, and plotted versus the geometric configuration angles. Note that not all angle combinations are physically meaningful.

This plot shows the normalized load generated in the pedal when braking the car using the proposed mechanism versus the geometry of the system as shown in the derivation. The load is calculated as derived, normalized by the required master cylinder load, and plotted versus the geometric configuration angles. Note that not all angle combinations are physically meaningful.
Load Calculation Excel Spreadsheet
An excel spreadsheet is available for calculating numerical values for the loads of interest. It accepts input in the form of the system geometry angles, and the required master cylinder loading, and provides outputs in the form of the required pedal force, and the load generated in the pedal.
This analysis is highly simplified. The assumptions should be reviewed, and the derivation should be verified, before the results are considered.