Definition
A power rating used for turboprop engines that combines the shaft horsepower delivered to the propeller with an additional allowance for the small amount of thrust produced by the engine's exhaust gases. The exhaust thrust is converted into an equivalent horsepower figure and added to the shaft horsepower to give a single total power value for the engine.
Plain English
A turboprop engine produces most of its power by turning the propeller, but it also pushes out a bit of jet thrust from the exhaust. ESHP is one number that adds those two together so you can describe the engine's total power with a single figure.
Context Anchor
Seen in turboprop engine descriptions, aircraft manuals, and performance discussions where engine power ratings are compared.
Derivation
Equivalent means 'equal in value to.' Because a turboprop's exhaust thrust is not actually horsepower (it's thrust, measured in pounds), engineers convert it into the horsepower it would equal. That converted figure is then added to the real shaft horsepower to give the equivalent total.
Why Pilots Care
It gives a complete rating for performance calculations such as takeoff distance and climb capability.
Grounding Statement
On a turboprop, most useful power turns the propeller, but some still leaves as exhaust push; ESHP puts both into one horsepower number.
Intuition Check
Do not read equivalent as meaning “about the same as shaft horsepower.” Here, equivalent means the exhaust push has been converted into a horsepower value and added to the shaft horsepower.
Example Sentence 1
The turboprop is rated at 1,100 ESHP, which includes both the power driving the propeller and the small contribution from exhaust thrust.
Example Sentence 2
Pilots compare ESHP values when selecting a turboprop for a given mission.