Calculated Industries 4090 User Manual

Page 61

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60 — ITI S

HEET

M

ETAL

/HVAC P

RO

Inline Duct, Single Offset (Computing Offset, Length, and Angle)

When working with the process of direct measure between two ducts
#1 and #2, as diagramed below, one leg of “The Measured Triangle”
I” should use the larger horizontal dimension of the two ducts.
Therefore, in this scenario, the 42 Inches dimension of duct #2 is
used since it is the larger of the two ducts.

To calculate the angle A

0

in “The Measured Triangle” “I” and the

dimensions of θ1, X1, and Y1 in triangle “II,” follow the sequence of
input given below to solve for the dimensions in question.

Note: “x” or “y” can represent either Offset or Length, the order dictated by the initial
setup and perspective. In the setup, placement of the Right-Triangle should always
allow for the angle of “

θ

” in triangle “II” to be established by simple subtraction of

angle “A

0

” from a known angle like 180°, as in the example below.

Find Theta θ, “x”, and “y” if the sides of the Measured Triangle “I”
are: 8 Feet 2-3/8 Inches, 42 Inches, and 6 Feet 10 Inches. See
diagram below.

(Cont’d)

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