## Elastic Bending Angle Calculation

## Elastic Bending Angle Calculation

(OP)

Hi Guys, as i understand the basic rule of math to calculate angle subtended by an arc is to divide the arc length by radius. This rule is extensively used in calculating Hot and cold bending angles for a given arc length. I was given a similar calculation for elastic bend angles by one of my colleague. However in this case of calculating elastic bending angle, he has divided the arc length by two times the radius instead of simple calculation of arc length by radius. I am puzzled by this calculation as why he used two times radius instead of one. is there anything i am missing in this ?

## RE: Elastic Bending Angle Calculation

PS : it depends which angle you consider (phi or phi/2)

## RE: Elastic Bending Angle Calculation

However, i am still struggling to understand the division by 2R here

## RE: Elastic Bending Angle Calculation

## RE: Elastic Bending Angle Calculation

b = 30m

r = R

ψ = 30/R (radians), why r is taken as 2R instead of R

## RE: Elastic Bending Angle Calculation

1 - R=163 m that is circumference C = 2 x 3.14 x 163 = 1024.16 m

2 - 30 m is 1024.16/30 = 34.139 times (34.139 x 30 = 1024.16)

3 - 360° / 34.139 = 10.545 °

Conclusion : division by 2 is wrong !

PS : you can check with CAD

## RE: Elastic Bending Angle Calculation

Only doubt remaining is if i am ignorant to any additional consideration in elastic bending.

## RE: Elastic Bending Angle Calculation

## RE: Elastic Bending Angle Calculation

## RE: Elastic Bending Angle Calculation

## RE: Elastic Bending Angle Calculation

## RE: Elastic Bending Angle Calculation

## RE: Elastic Bending Angle Calculation