Page 40 - Mechanical Engineer's Data Handbook

STRENGTHS OF MATERIALS 29

I Maximum stresses (at A and B):
rrA (R2+hZ) ['+$&I
R2
W
Outside, tensile u, =- -
Inside, compressive

where: A =area of cross-section, R = radius at centroid
C. Use appropriate hZ for the section.

Stresses in a crane hook

There is a bending stress due to moment Wa and a
direct tensile stress of W/A at P.

Stresses in a loaded thick ring Inside, tensile stress u, =
Maximum bending moment (at A and B):
Outside, compressive stress u,
WR R2 2
M,,,=- -
-
2 R2+hZn Use appropriate h2 for the section.
I

1.4.5 Bending of thin curved bars and
rings

Stresses and deflections for a loaded thin ring

WR
Maximum bending moment Mmax=-- (at A)
7L