# Widely-Spaced Mitered Bend - CAESAR II - Reference Data

## CAESAR II Applications Guide

PPMProduct
CAESAR II
PPMCategory_custom
Reference Data
Version_CAESAR
12

Mitered bends are widely spaced if:

S³ r * [1 + tan (q)]

Where:

 S = spacing between miter points along the miter segment centerline r = average cross section radius (ri+ro)/2 q = one-half angle between adjacent miter cuts

B31.1 has the following additional requirement:

q £ 22.5º

In CAESAR II, you must enter widely spaced miters as individual, single-cut miters, each having a bend radius equal to:

R = r [1 + cot (q)] / 2

Where:

R = reduced bend radius for widely spaced miters.

During error checking, CAESAR II produces a warning message for each mitered component that does not pass the test for a closely spaced miter.

The following components should be re-entered as a group of single cut joints.

 Pipe O.D. = 10.375 in.Pipe Thickness = 0.500 in. Bend Angle = 90ºCuts = 2Req = 45 inches Assuming closely spaced:

Calculate the D coordinates to get from the tangent intersection point of the single cut miter bend at node 10 to the single cut miter bend at node 15.

The straight pipe section coming into and going out of the bend must be ³ Reqsin (q).

 Enter widely spaced miters as individual straight pipe elements, with bends specified, having one miter cut.