Reference: POH section 6 weight & balance, phak section 10, Aopa web page
Attention: Air Force 747 Cargo with cargo shift while takeoff
Motivation:
Objective:
Learning Objective (Index)
- Learning Objective (Index)
- Airplane Components
- Weight and Balance Terms
- Datum
- Arm
- Station
- Moment
- Center of Gravity CG
- CG Limits
- Standard Empty Weight (GAMA)
- Basic Empty Weight (GAMA)
- Maximum Zero Fuel Weight
- Maximum Takeoff Weight
- Maximum Weight
- Maximum Gross Weight
- Maximum Ramp Weight
- Maximum Landing Weight
- Payload
- Usable Fuel
- Useful Load
- Fuel Load
- Standard Weight of Fluids
- Fuel
- Oil
- Water
- Effects on Performance
- Overweight
- Reduces the flight Performance of the aircraft
- Load Factor
- Balance Control
- Forward CG Effects
- Aft CG Effects
- Weight and Balance Control
- Weight and Balance Example
- Normal Category
- Utility Category
- Weight Shift Formula
Airplane Components
Weight and Balance Terms
Datum
- An imaginary vertical line from which all measurements of arm are taken
- Established by the manufacturer
- Commonly located on the Firewall of the aircraft
Arm
- The horizontal distance in inches from the reference datum line to the CG of an item
Station
- A location in the aircraft that is identified by a number designating its distance from the datum
- We use this for CG calculations as ARM
- Established by the POH
Moment
- The product of the weight of an item multiplied by its arm
Center of Gravity CG
- The point about which an aircraft would balance if it were possible to suspend it at that point
CG Limits
- The specific forward and aft points within which the CG must be located during flight
- Established by the POH
Standard Empty Weight (GAMA)
- Aircraft weight that consists of the airframe, engines, full operating fluids, full engine oil and all items of operating equipment that are permanently installed
Basic Empty Weight (GAMA)
- The standard empty weight plus the weight of optional and special equipment that has been installed
Maximum Zero Fuel Weight
- Is the maximum weight allowed before usable fuel and other specified usable agents
Maximum Takeoff Weight
- The maximum allowable weight for takeoff
Maximum Weight
- The maximum authorized weight of the aircraft and all of its equipment
Maximum Gross Weight
Maximum Ramp Weight
- The maximum weight an aircraft can weight on the ramp prior to takeoff
- May be higher than max takeoff weigh because the fuel that is burned in taxi and runup
Maximum Landing Weight
- Maximum weight that an aircraft is normally allowed to have a landing
Payload
- The weight of occupants, cargo and baggage
Usable Fuel
- The amount of fuel available for flight planning purposes
- Established by the POH
Useful Load
- The weight of the pilot, copilot, passengers, baggage, usable fuel and drainable oil
Fuel Load
- Includes only usable fuel
Standard Weight of Fluids
Fuel
- 6 lbs/gal
Oil
- 7.5 lbs/gal
Water
- 8.35 lbs/gal
Effects on Performance
Overweight
Excessive weight has a huge impact in 2 things
Reduces the flight Performance of the aircraft
- Higher takeoff speed
- Longer takeoff run
- Reduced climb rate
- Lower max altitude
- Shorter max range
- Slower cruise speed
- Reduce maneuverability
- Higher stall speed
- Higher landing Speed
- Longer landing roll
Load Factor
- Va (Maneuvering Speed)
- Structural Integrity
Balance Control
Forward CG Effects
- Longer Takeoff Roll
- Longer Landing Roll
- Higher Stall Speed
- Easier Stall Recovery
- Decreased Cruising Speed
Aft CG Effects
- Lower Stall Speed
- Reduced Elevator Authority
- Difficult Stall Recovery
Weight and Balance Control
Weight and Balance Example
Basic empty weight: 1,194.7 lbs
Basic empty arm: 30.6
Student weight: 120 lbs
CFI weight: 175 lbs
Baggage area 1: 30 lbs
Fuel per hour: 6 g/h
Fuel Burned on ground: 0.8 gal
Total flight time: 2 hours
Normal Category
An aircraft must fall into this category to safe perform normal flight maneuvers, such as Takeoffs, Landings, Steep Turns, Slow Flights, Stalls...
Utility Category
An aircraft must fall into this category to safe perform special flight maneuvers such as spins or other maneuvers specified in that aircraft’s POH
Weight Shift Formula
When weight is shifted from one location to another, the total weight of the aircraft is unchanged. The total moments, however, do change in relation and proportion to the direction and distance the weight is moved. When weight is moved forward, the total moments decrease; when weight is moved aft, total moments increase.