Circular Ring (11, 5)
Equations:
2
A
=
ro
–
ri
4
J
=
-- -
ro
–
2
Example:
Given: ro=4_ , ri=25.0Å, d=.1_mil.
Solution: A=3.0631E–7_cm^2, I=1.7038E–10_mm^4, J=3.4076E–10_mm^4, Id=3.0648E–10_mm^4.
Triangle (11, 6)
Equations:
b h
A
=
--------- -
2
3
b h
------------ -
Ix
=
36
b h
2
2
J
=
--------- -
h
+
b
–
b
36
Example:
Given: h=4.33012781892_in, v=2.5_in, P=15_in, d=2_in.
Solution: b=5.0000_in, Ix=11.2764_in^4, Iy=11.2764_in^4, J=22.5527_in^4, A=10.8253_in^2,
Id=54.5776_in^4.
5-46 Equation Reference
2
4
I
=
-- -
ro
–
ri
4
4
ri
Id
=
I
+
A d
2
2
P
=
b
+
v
+
h
+
b v
–
b h
2
--------- -
Iy
=
b
–
b
v
+
36
2
Id
=
Ix
+
v
+
v
4
2
2
2
+
h
2
v
2
A d