# Mitered Bends - CAESAR II - Reference Data

## CAESAR II Applications Guide

PPMProduct
CAESAR II
PPMCategory_custom
Reference Data
Version_CAESAR
12

Evenly spaced mitered bends, whether closely or widely spaced, are defined by two parameters:

• The number of cuts (changes in direction)

• The equivalent radius or miter spacing

For closely spaced miters, the equivalent radius is equal to the code defined as R1 for B31.3 and R for B31.1. The equation for the equivalent radius to the spacing for evenly spaced miters is:

Req = S / [ 2 tan(q) ]

Where:

 Req = equivalent miter bend radius S = spacing of the miter cuts along the centerline q = code-defined half-angle between adjacent miter cuts: q = a / 2N

Where:

 a = total bend angle N = number of cuts

When using B31.1, an additional parameter, B (length of miter segment at crotch), is examined for closely spaced miters. The following equation is used to compute B for evenly spaced miters:

 B = S [ 1 - ro / Req ]

Where:

 ro = outside radius of pipe cross-section