Which one of the following lateral earth pressures coefficients is accounted for using Rankine Theory?

The lateral earth pressure coefficient accounted for using Rankine Theory is the angle of internal friction, denoted by Φ. Rankine's earth pressure theory provides a method for evaluating the lateral earth pressures exerted by soil on retaining walls or other structures based on simplified assumptions, such as the wall being vertical and the backfill being level.

In this theory, the lateral earth pressure is derived considering the soil's internal friction. The coefficient of lateral earth pressure at rest (K_0), active (K_a), or passive (K_p) states utilizes the angle of internal friction to determine how the soil exerts forces against a structure. The Rankine formulation results in the relationships K_a = tan²(45° - Φ/2) for active pressure, and K_p = tan²(45° + Φ/2) for passive pressure, illustrating the dependence on the angle of internal friction.

The other parameters listed—δ (the wall friction angle), β (the angle of inclination of the backfill), and θ (the angle of wall inclination)—are not directly calculated using the Rankine Theory for determining lateral earth pressures. While they can affect calculations under different theories or more complex conditions, they do not represent the primary soil property that Rankine