The total shrink (TS) for an offset with a bend angle of 22.5° and a rise of 5.5 inches is approximately 0.42 inches when rounded to two decimal places.
To determine the total shrink (TS) of an offset with a bend angle of 22.5° and a rise (R) of 5.5 inches, we typically use the formula:
TS = R ( 1 - cos( θ))
Where R is the rise and θ is the bend angle in radians. First, we need to convert the bend angle from degrees to radians by multiplying by (π/180).
22.5° × (π / 180) = 22.5 x 0.01745 = 0.3927 radians.
Now, we calculate the cosine of 0.3927 radians and then find the total shrinkage.
cos(0.3927) ≈ 0.9239
TS = 5.5 inches ( 1 - 0.9239 ) ≈ 5.5 inches × 0.0761 ≈ 0.41855 inches.
Round the resultant TS to two decimal places, we get:
TS ≈ 0.42 inches.