Page 39 - Mechanical Engineer's Data Handbook

28 MECHANICAL ENGINEER'S DATA HANDBOOK

Bending of thick curved bars, rings and crane
hooks
If M acts as shown:
In (E) RZ
(B
-
-
C))
-
Stress on inside of curve u,
AR
'-AR ( RY+'y, f')
Stress on outside of curve u - - 1 + -. - C
where values of hZ are as given below.

Is

2~3
Circle: h2= - RZ
(R + ,/-))

Rectangle: h2=-ln D (ii'x)-R2
R3
-
! R
6
b
I
0 - :; C R3
I section: hZ =- (B, In RJR, + B, In RJR,
A
SB, lnR,/R,)-RZ
where: R =radius at centroid, A =total area.
This method can be used for any shape made up of
rectangles.