(common term).


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Note added at 24 mins (2015-07-07 19:49:00 GMT)
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Here is one broad description of building engineer duties found on the Internet. More extensive descriptions are available, e.g. at http://www.macgregorpm.com/files/13-04-29_SeniorBuildingEngi...
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"Responsible for the daily operation, maintenance and repairs to assigned
commercial properties. The engineer must have working knowledge of all building
mechanical, electrical, HVAC, plumbing, life safety, fire protection and
security systems to ensure proper operations and be able to respond to any out of the ordinary conditions. The building engineer will be responsible for overseeing
an assigned engineering team."

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Note added at 26 mins (2015-07-07 19:50:38 GMT)
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"Site engineer", "field engineer", and "construction engineer" are exactly 100% wrong.

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Note added at 9 hrs (2015-07-08 04:40:22 GMT)
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Alternative (in case some of the comments are correct): Construction engineer.
2nd alternative, along these same lines: Civil engineer.
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http://www.ccee.iastate.edu/careers/careers-in-construction-...
Construction engineers usually focus on a certain type of construction project. With a major in construction engineering, you’ll be prepared for work in any of the following types of projects.
Building: These construction engineers usually focus on commercial building construction—houses or business buildings.
Heavy/Highway: These construction engineers manage highway, bridge, airport, water and wastewater treatment plant projects. The work can be in remote locations. Much of the work is excavation and underground work so the curriculum emphasizes geology and soil mechanics.
Mechanical: You can manage the installation of heating, ventilation, air conditioning, and plumbing systems. Many of the mechanical projects on buildings are construction projects in their own right. Mechanical contractors often do their own design on smaller projects.
Electrical: Electrical construction engineers manage the construction of electrical systems. You’ll take the same circuits courses as electrical engineers but also learn about the construction side of the business.