The hydraulic brake system remains the primary means of controlled deceleration in road vehicles, converting a driver's pedal effort into a large clamping force at each wheel through the transmission of fluid pressure. This paper presents a structured design and performance analysis of the hydraulic brake system, intended for diploma and undergraduate mechanical engineering students. The paper begins with the fundamental principles of braking and Pascal's Law, which governs how force is transmitted through a confined hydraulic fluid, and proceeds to describe the construction, working principle, and major components of a typical automotive hydraulic brake circuit, including the master cylinder, wheel cylinder or caliper, brake pedal, brake fluid, and the disc and drum brake arrangements. Key design equations relating hydraulic pressure, clamping force, braking torque, vehicle deceleration, stopping distance, and braking efficiency are derived and explained with clearly defined symbols and realistic engineering assumptions. The paper further examines performance indicators, thermal and hydraulic considerations such as brake fade and pressure losses, and the trade-offs involved in optimizing master-cylinder diameter, caliper size, pedal ratio, and front-rear brake force distribution. Comparative analysis of disc versus drum brakes and conventional hydraulic braking versus anti-lock braking system (ABS) assisted braking is presented, along with a discussion of applications, safety considerations, and recent developments such as electro-hydraulic and brake-by-wire systems. The study concludes that reliable braking performance depends on the coordinated design of hydraulic, frictional, and mechanical parameters rather than on any single component in isolation.

Key Words: hydraulic brake system, Pascal's Law, master cylinder, braking torque, brake fade, anti-lock braking system.