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, y ) 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)
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, y ) 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)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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.
Calculate the area moment of inertia (Ix) for design A and design B. Make sure
to use the centroidal axis x (from part b).
С.
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
-X-
200 mm x 50mm
200 mm
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