Determine the centroid, rectangular and polar MOI, and radii of gyration of the face mask shown below. Using the parallel axis theorem, also determine the MOI with respect to line x = 2 and the radius of gyration. Use the template below as guide in computing the moment of inertia an axis. Centroidal MOI Formula Element Area, A Distance, d MOI about axis Value Element A ТOTAL Answers: C (1.5, 0.05763), I,-102.6190 in", 1,= 174.8140 in, J=I,=277.4330 in k.= 1.8293 in, k,-2.3876 in, k,-3.0078 in I-2=113.4824 int, k.-2= 1.9237 in 田1in 1 in

Determine the centroid, rectangular and polar MOI, and radii of gyration of the face mask shown below. Using the parallel axis theorem, also determine the MOI with respect to line x = 2 and the radius of gyration. Use the template below as guide in computing the moment of inertia an axis. Centroidal MOI Formula Element Area, A Distance, d MOI about axis Value Element A ТOTAL Answers: C (1.5, 0.05763), I,-102.6190 in", 1,= 174.8140 in, J=I,=277.4330 in k.= 1.8293 in, k,-2.3876 in, k,-3.0078 in I-2=113.4824 int, k.-2= 1.9237 in 田1in 1 in

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Determine the centroid, rectangular and polar MOI, and radii of gyration of the face
mask shown below. Using the parallel axis theorem, also determine the MOI with respect
to line x = 2 and the radius of gyration. Use the template below as guide in computing
the moment of inertia an axis.
Centroidal MOI
Formula
Element
Area, A
Distance, d
MOI about axis
Value
Element A
ТОTAL
Answers: C (1.5, 0.05763), I,=102.6190 in*,
,= 174.8140 in“, J=I,=277.4330 in*
k,= 1.8293 in, k,=2.3876 in, k.=3.0078 in
k-2=113.4824 in“, k-2= 1.9237 in
H1 in
1 in

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