How to calculate Volume of logs
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The document is a lesson on calculating the volume of logs using the quarter girth formula, also known as Hoppes rule. It provides examples of different log dimensions and the corresponding volume calculations, emphasizing differences in measurements when considering logs as cylinders versus cuboids. Additionally, the document highlights specific calculations for given girth and length measurements, demonstrating practical applications of the formulas.
How to calculate Volume of logs
- 1. Jammu & Kashmir Forest Department Kashmir Forest Training School Chitternar Bandipora, J&K ONLINE CLASSES Forest Mensuration TOPIC: Calculation of volume of logs By Dr. Imtyaz Ali Khan
- 2. Volume of Logs Examples : Calculate the volume of logs having following dimension: (Solution is given in the last slide) 1. Girth = 9 ft. , Length = 20 ft. 2. Girth = 5 ft. 9 in, Length = 32 ft 3. Girth = 40 in, Length = 144 in.
- 3. Volume of Logs Volume of Logs or round wood is calculated by Quarter Girth Formula which is also known as Hoppes Rule. Quarter Girth V = (g/4)2 X l Where g is a girth of log and l is a length of a log
- 4. Here we have: Ꙥ = 3.14 Radius (r) = 0.8 feet Height = 4 feet V = Ꙥr2 h Volume = 3.14 X 0.8 X 0.8 X 4 = 8.04 cft =4 ft. = 60 ‘’= 0.8 ft. (d= g/Ꙥ = 60/3.14 = 19.11 = 19.11/12 = d=1.59 = 1.59/2 = 0.8 ft.
- 5. Length of log = 4 ft. Girth of log = 60 inch
- 6. Log
- 8. Volume of scantling ( Cuboid) = Length x width x height = 4 x 1.25 x 1.25 = 6.25 cft. Length of log = 4 ft, Girth = 60 in. Volume of Log using Q.G formula/Hoppes rule Volume = (g/4)2 X L = 60 X 60 X 4 = 14400 = 6.25 cft. 16 x 12 x 12 2304 Length of log = 4 ft. Girth of log = 60 inch If we consider log as a cylinder, then volume will be calculated by the formula V = Ꙥr2 h = 8.04 cft % volume difference in full volume (cylinder) and Q.G/Hoppes volum is equal to = 6.25 X 100 = 78 % , the difference will be = 100-78 = 22 % 8.04
- 9. Calculate the volume of logs having following dimension: 1. Girth = 9 ft. , Length = 20 ft. By Quarter girth formula Volume (V) = (g/4)2 X L Volume (V) = 9 x 9 x 20 = 101.25 cft 4 X 4 2. Girth = 5 ft 9 in , Length = 32 ft. By Quarter girth formula Volume (V) = (g/4)2 X L Volume (V) = 5.75 x 5.75 x 32 = 66.13 cft 4 X 4 3. Girth = 40 in , Length = 144 ft. By Quarter girth formula Volume (V) = (g/4)2 X L Volume (V) = 40 x 40 x 144 = 230400 = 100 cft. 4 X 4X12x12 2304