Page 207 - Standard Handbook Of Petroleum & Natural Gas Engineering
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192 General Engineering and Science
Table 2-14
(continued)
4Y
Wdl
Thin-walled tube (d S I)
X
Circular quadrant
bh3
h I, = sij-
hb’
1
ibh e.= J I, = -
X b 36
5 J
PaI = --
b’h’
I2
Triangle
where A is the cross-sectional area of the body and r is the perpendicular distance
from axis w to the differential element of area dA. Values for the areal moments of
inertia of common cross-sections are given in Table 2-14.
The beam is also subject to a shear stress that varies over the beam cross-section.
(2-94)
where b is the width of the beam. The moment area about the z axis Q is defined as
Q=FydA (2-95)
Y
II
where yo is the location of the shear stress.
