d. Calculate the area moment of inertia (ly) for design A and design B. Make sure to use the centroidal axis y e. Calculate polar moment of inertia (Jz) for design A and design B (through the centroid).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Subparts: d & e. Please write it on paper.

3) Two U-beam designs (shown below) have been submitted for a project, and your engineering
firm is tasked with checking whether they meet the design specifications for area moment of
inertia.
a. Calculate the location of the centroid (x, ỹ ) for the composite shapes shown
in design A and in design B.
b. Draw the location of the centroidal x-axis (new x-axis passing through the
centroid) on each diagram below and label the distance from the given x-axis
in each case.
c. Calculate the area moment of inertia (Ix) for design A and design B. Make sure
to use the centroidal axis X (from part b).
d. Calculate the area moment of inertia (ly) for design A and design B. Make sure
to use the centroidal axis y
e. Calculate polar moment of inertia (Jz) for design A and design B (through the
centroid).
y
Design A
y Design B
50mm
50mm
200mm
200mm
50mm
200 mm
200 mm x50mm
Transcribed Image Text:3) Two U-beam designs (shown below) have been submitted for a project, and your engineering firm is tasked with checking whether they meet the design specifications for area moment of inertia. a. Calculate the location of the centroid (x, ỹ ) for the composite shapes shown in design A and in design B. b. Draw the location of the centroidal x-axis (new x-axis passing through the centroid) on each diagram below and label the distance from the given x-axis in each case. c. Calculate the area moment of inertia (Ix) for design A and design B. Make sure to use the centroidal axis X (from part b). d. Calculate the area moment of inertia (ly) for design A and design B. Make sure to use the centroidal axis y e. Calculate polar moment of inertia (Jz) for design A and design B (through the centroid). y Design A y Design B 50mm 50mm 200mm 200mm 50mm 200 mm 200 mm x50mm
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