Solution manual for mathematics for plumbers and pipefitters 8th edition all chapters full complete 2025

Mathematics for Plumbers and Pipefitters
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1. For 45 degree angles, the diagonal is _______ times longer than the offset.-
: 1.414
(Mathematics for Plumbers and Pipefitters: Page 67)
2. Using the drawing, what is the rise for a 45 degree parallel offset with a
diagonal of 5.07 feet?: 3 ft 7 in
5.07 feet x .707 = 3.58 (.58 x 12 = 6.98) = 3' 7"
(offset is .707 as long as diagonal)
(diagonal is 1.414 as long as offset)
(Mathematics for Plumbers and Pipefitters: Page 67)
3. Using the drawing, what is the length of the line from point A, through point
B, to point C?: 17.07
Offset x Constant = Diagonal Pipe Length
The parallel offset constant for 45° bends is 1.414
5 x 1.414 = 7.07 + 10 = 17.07'
(Mathematics for Plumbers and Pipefitters: Page 67)
4. Using the drawing, what is the length of the line ABE?: 17.07
Offset x Constant = Diagonal Pipe Length
.707 is the reciprocal constant for 45° parallel offsets
10 x .707 = 7.07 + 10 = 17.07'
(Mathematics for Plumbers and Pipefitters: Page 67)
5. What is the drop for a 200-foot pipe sloping at 2%?: 4 ft
2 x 200 = = 4 or
.02 x 200 = 4
Drop = % grade x run / 100 = 4 feet
(Mathematics for Plumbers and Pipefitters: Page 124)
6. How high will 20 PSI raise a column of water?: 46.2
Every PSI requires a head of 2.31 (2.304) feet

20 x 2.31 = 46.2 fee
(Mathematics for Plumbers and Pipefitters: Page 124)
7. What is the percent grade for a drop of 6 inches in 50 feet?: 1 percent
6/12 = .5 feet(.) x 100 = 1%
Percent grade = (drop/run) x 100

Drop and run must be in like units; both may be feet, inches, or meters
(Mathematics for Plumbers and Pipefitters: Page 124)
8. A slope of 1/8 inch per foot = _____% slope.: 1 percent
1/8 = . = .01 = 1% slope
(Mathematics for Plumbers and Pipefitters: Page 124)
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