Engelund-Hansen (1967) is a total load transport equation, developed from flume data, using relatively uniform sand sizes between 0.19 mm and 0.93 mm. England Hansen is the simplest transport equation, an explicit function of stream power (V2τ3/2) and the d50 of the material. It is not an "excess" stream power equation, so it does not control for competence and often can, therefore, compute low transports for large grain classes. Engelund-Hansen should usually be restricted to sand systems.
The equation is:

g_s = V^2 \left( \frac {\tau_b}{\left(\gamma_s - \gamma\right)d_{50}}\right)^{\frac32} \sqrt{\frac{d_{50}}{g \left( \frac{\gamma_s}{\gamma}-1\right)}} =V^2 \left( \tau^* \right) ^{\frac32} \sqrt{\frac{d_{50}}{g \left( \frac{\gamma_s}{\gamma}-1 \right)}}

Where:
gs = Sediment transport by unit width
γ = Unit weight of water
γs= Unit weight of sediment
V = Average channel velocity
τb= Bed shear stress
τ*= Dimensionless Shields Number (τb/γs-γd50))
d50 = Median particle size