Scenario:
You are part of a mechanical engineering team tasked with designing a flat belt drive system for a water pump used in an agricultural irrigation system. The system is required to transmit power from a diesel engine to a large water pump. The pump is critical for ensuring a steady water supply to the fields, and reliability is essential.

Problem Statement:
Design a flat leather belt drive system that needs to transmit 85 kW of power. The system consists of two pulleys with diameters of 0.75 m (driver) and 1.0 m (driven). The two shafts of the pulleys must rotate in the same direction. The center distance between the two shafts is 4.5 m, and the belt speed must be 16.5 m/s. The pulleys are made of cast iron.

Consider the following factors in your design:
Slippage: 1.5% at each pulley
Friction loss: 4% at each shaft
Overload: 15%
Belt thickness: 12 mm
Safe stress of the belt: 2.8 MPa
Additionally, design the cast iron pulleys for both the driver and driven shafts, given that the distances from the centerlines of the driver (L1) and driven (L2) pulleys to their nearest bearings are 270 mm and 300 mm, respectively.

Material Properties and Stresses:
Shaft:
Tension and compression: 75 MPa
Key:
Shear: 45 MPa
Belt:
Tension: 2.8 MPa
Pulley rim:
Tension: 4.0 MPa
Pulley arm:
Tension: 14 MPa