Example Problem SolutionFind:Centroid of compositeSolution:Divide into simple areasFind centroid of each sectionFind moment areasSum areas and moment areasCompute centroid locationsSection A, mm²15,00022,50033,9274-1,963Σ9,463.5xy =x, mm5066.67121.270Σ*AΣΑΣÿAΣΑỹ, mm2566.675040Show the table and complete solution. Example above.1. Determine the moment of inertia of the compositearea about the centroidal y axis.XA, mm³ A, mm³250,000125,000166,667166,667476,032 196,350-137,445 -78,540755,254 409,4762. Locate the centroid y of the composite area, thendetermine the moment of inertia of this area about thex' axis.-15-50-50-Dimensions in mm150BYUIDAHO

1.Determine the moment of inertia of the composite area about the centroidal y axis. 2. Locate the centroid y of the composite area, then determine the moment of inertia of this area about the x' axis. BT5 -15 -50-50- Dimensions in mm 150

1.Determine the moment of inertia of the composite area about the centroidal y axis. 2. Locate the centroid y of the composite area, then determine the moment of inertia of this area about the x' axis. BT5 -15 -50-50- Dimensions in mm 150

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

Composite Construction

Composite construction is the construction of structures in which two or more materials are used. Regarding structural engineering, composite construction is a construction where two materials are bound together in a technical manner such that both the materials act as a single unit to carry and transfer the load. The motives of composite construction are to increase the structural strength, make structures more aesthetic, and provide a sustainable environment.

Question

Example Problem Solution
Find:
Centroid of composite
Solution:
Divide into simple areas
Find centroid of each section
Find moment areas
Sum areas and moment areas
Compute centroid locations
Section A, mm²
1
5,000
2
2,500
3
3,927
4
-1,963
Σ
9,463.5
x
y =
x, mm
50
66.67
121.2
70
Σ*A
ΣΑ
ΣÿA
ΣΑ
ỹ, mm
25
66.67
50
40
Show the table and complete solution. Example above.
1. Determine the moment of inertia of the composite
area about the centroidal y axis.
XA, mm³ A, mm³
250,000
125,000
166,667
166,667
476,032 196,350
-137,445 -78,540
755,254 409,476
2. Locate the centroid y of the composite area, then
determine the moment of inertia of this area about the
x' axis.
-15
-50-50-
Dimensions in mm
150
BYU
IDAHO

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