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APPENDIX P
CENTER OF BALANCE (CB) DETERMINATION – FINDING CB
2. The following terms are used to calculate CB of a vehicle, see Figure P-1:
a. Reference Datum Line (RDL) (also called reference line). Predetermined point from which all measurements are taken. Normally, the RDL is established at the forward front edge.
b. Front Overhang (FOH). Distance in inches from front bumper to center of front axle.
c. Wheel Base (WB). Distance in inches from center of front axle to center of rear axle or center of tandem axles.
d. Gross Weight (GWT) (pounds).
e. Rear Overhang (ROH). Distance from rear or center of tandem axles to rear bumper.
f. Front Axle Weight (FAW) (pounds).
g. Intermediate Axle Weight (IAW) (pounds).
h. Rear Axle Weight (RAW) (pounds).
i. Front Forward Edge (FFE).
j. Moment. The product obtained by multiplying the weight by the distance (in inches) from the RDL.
C. COMPUTATIONAL FORMULA
The computation formula illustrated on the following pages shows examples of different types of vehicles and possible loads. Prior to beginning the process, the unit movement officer must ensure the scales are calibrated.
1. Use the following formula to compute the CB location of vehicles. Multiply weight by distance of each axle from the reference line (in inches), and then divide the total results by the vehicle gross weight. The resulting figure is the number of inches to be measured aft from the reference line to the CB of the vehicle.
Center of Balance Formula Wl -- Front axle weight. W2 -- Rear axle weight. DI -- Distance from RDL to front axle or center of articulated tandem axle D2 -- Distance from RDL to rear axle or center of articulated tandem axle.
2. The vehicle CB is computed to the nearest whole inch. Any answer with a fraction of .5 or higher is increased to next higher number. If .4 or less, drop the number.
EXAMPLE 1 – Determine CB of Vehicles.
Step 1. Weigh all axles individually.
Step 2. Mark weight above each individual axle.
Step 3. Establish the RDL at the forward edge of the vehicle.
Step 4. Measure all distances from RDL to center of each individual axle.
Step 5. Distance multiplied by weight equals a moment.
Example of basic formula for determining the CB. (Dl x W1) + (D2 x W2) GROSS WEIGHT = CB from RDL
EXAMPLE ONE
D1
W1 W2
RDL D I from RDL (from forward edge) to center of front axle = 20" W1 front axle weight = 2,870 lbs D2 from RDL (from forward edge) to center of rear axle - 150" W2 rear axle weight = 2,550 lbs 20" x 2,870 = 57,400 moment 150" x 2.550 = 382,500 moment 439,900 total moment W1 (2,870 lbs) + W2 (2550 lbs) = Gross Weight (5,420 lbs) Total Moment (439,900) divided by Gross Weight = CB (81" from RDL) [(D1 (20") x W1 (2,870 lbs)] +[ (D2 (150" x W2 (2,550 lbs)] Gross Weight (5,420 lbs) = CB (81" from RDL)
EXAMPLE TWO
RDL
W1
D1
D2
W2
[D1 (15") x W1 (250 lbs)] + [D2 (102") x W2 (2,250 lbs)] W1 (250 lbs) + W2 (2,250 lbs) = Gross Weight (2,500 lbs) = CB (93" from RDL)