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Chapter

Student Handout Lesson 31Exam


Department
Civil Engineering
Course Code
CE 2450
Professor
All

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Chapter(10(
Moments(of(Inertia(
(
10.1(Definition(of(Moments(of(Inertia(for(Areas(
The$area(moment(of(inertia$is$a$property$of$a$cross$section$that$can$be$used$to$predict$a$beams$
resistance$to$bending$and$deflection$about$an$axis$that$lies$in$the$cross7sectional$plane.$$This$dependence$
of$beam$performance$on$the$moment$of$inertia$is$why$beams$with$high$moments$of$inertia,$such$as$W$
sections$are$common$in$building$construction$as$opposed$to$rectangular$beams$of$the$same$area.$
$
$
$
Moment(of(Inertia(about(the(x9axis:(
Ix=y2dA
A
(
(
Moment(of(Inertia(about(the(y9axis:(
Iy=x2dA
A
(
(
Polar(Moment(of(Inertia:( ( (
JO=r2dA
A
=Ix+Iy
(
(
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